yng <- read.delim("results_young.txt", stringsAsFactors=TRUE)
yng <- yng[, -c(12,13,19,20)]
yng
##      participant age gender syllable register     vowel Duration F1_midpoint
## 1            P10  24 female     open     high         a      341        1230
## 2            P10  24 female     open     high         a      278        1146
## 3            P10  24 female     open      low         a      338        1188
## 4            P10  24 female     open      low         a      344        1087
## 5            P10  24 female     open     high     low_o      403         521
## 6            P10  24 female     open     high     low_o      314         528
## 7            P10  24 female     open      low     low_o      383         578
## 8            P10  24 female     open      low     low_o      332         551
## 9            P10  24 female     open     high        ou      403         418
## 10           P10  24 female     open     high        ou      339         304
## 11           P10  24 female     open      low        ou      361         337
## 12           P10  24 female     open      low        ou      385         361
## 13           P10  24 female     open     high unround_o      428         405
## 14           P10  24 female     open     high unround_o      371         413
## 15           P10  24 female     open      low unround_o      329         485
## 16           P10  24 female     open      low unround_o      347         505
## 17           P10  24 female     open     high         e      300         387
## 18           P10  24 female     open     high         e      336         576
## 19           P10  24 female     open      low         e      361         518
## 20           P10  24 female     open      low         e      318         533
## 21           P10  24 female     open     high         E      376         490
## 22           P10  24 female     open     high         E      320         511
## 23           P10  24 female     open      low         E      332         500
## 24           P10  24 female     open      low         E      363         497
## 25           P10  24 female     open     high   round_e      396         401
## 26           P10  24 female     open     high   round_e      355         406
## 27           P10  24 female     open      low   round_e      296         355
## 28           P10  24 female     open      low   round_e      293         362
## 29           P10  24 female     open     high         i      429         331
## 30           P10  24 female     open     high         i      375         413
## 31           P10  24 female     open      low         i      359         244
## 32           P10  24 female     open      low         i      347         405
## 33           P10  24 female     open     high         u      338         373
## 34           P10  24 female     open     high         u      402         351
## 35           P10  24 female     open      low         u      395         365
## 36           P10  24 female     open      low         u      308         416
## 37           P10  24 female     open     high         y      354         351
## 38           P10  24 female     open     high         y      290         313
## 39           P10  24 female     open      low         y      314         326
## 40           P10  24 female     open      low         y      261         343
## 41           P10  24 female   closed     high         A      133         838
## 42           P10  24 female   closed     high         A      162         918
## 43           P10  24 female   closed      low         A      197         988
## 44           P10  24 female   closed      low         A      125         904
## 45           P10  24 female   closed     high         o      159         502
## 46           P10  24 female   closed     high         o      247         510
## 47           P10  24 female   closed      low         o      250         562
## 48           P10  24 female   closed      low         o      202         655
## 49           P10  24 female   closed     high     schwa      176         955
## 50           P10  24 female   closed     high     schwa      158         952
## 51           P10  24 female   closed      low     schwa      221         991
## 52           P10  24 female   closed     high         I      128         533
## 53           P10  24 female   closed     high         I      142         547
## 54           P10  24 female   closed      low         I      243         517
## 55           P10  24 female   closed      low         I      287         660
## 56           P10  24 female   closed     high         Y      149         496
## 57           P10  24 female   closed     high         Y      159         532
## 58           P10  24 female   closed      low         Y      222         823
## 59           P10  24 female   closed      low         Y      271         772
## 60           P15  24 female     open     high         a      384        1026
## 61           P15  24 female     open     high         a      358        1056
## 62           P15  24 female     open      low         a      464         911
## 63           P15  24 female     open      low         a      461        1016
## 64           P15  24 female     open     high     low_o      525         503
## 65           P15  24 female     open     high     low_o      392         666
## 66           P15  24 female     open      low     low_o      439         561
## 67           P15  24 female     open      low     low_o      403         590
## 68           P15  24 female     open     high        ou      431         478
## 69           P15  24 female     open     high        ou      452         319
## 70           P15  24 female     open      low        ou      442         367
## 71           P15  24 female     open      low        ou      398         469
## 72           P15  24 female     open     high unround_o      311         487
## 73           P15  24 female     open     high unround_o      366         501
## 74           P15  24 female     open      low unround_o      386         499
## 75           P15  24 female     open      low unround_o      343         547
## 76           P15  24 female     open     high         e      377         496
## 77           P15  24 female     open     high         e      315         548
## 78           P15  24 female     open      low         e      444         460
## 79           P15  24 female     open      low         e      400         467
## 80           P15  24 female     open     high         E      344         627
## 81           P15  24 female     open     high         E      513         528
## 82           P15  24 female     open      low         E      376         628
## 83           P15  24 female     open      low         E      424         491
## 84           P15  24 female     open     high   round_e      396         433
## 85           P15  24 female     open     high   round_e      355         447
## 86           P15  24 female     open      low   round_e      422         397
## 87           P15  24 female     open      low   round_e      373         404
## 88           P15  24 female     open     high         i      496         432
## 89           P15  24 female     open     high         i      453         424
## 90           P15  24 female     open      low         i      418         296
## 91           P15  24 female     open      low         i      498         250
## 92           P15  24 female     open     high         u      405         322
## 93           P15  24 female     open     high         u      358         506
## 94           P15  24 female     open      low         u      228         391
## 95           P15  24 female     open      low         u      375         404
## 96           P15  24 female     open     high         y      358         462
## 97           P15  24 female     open     high         y      364         461
## 98           P15  24 female     open      low         y      380         295
## 99           P15  24 female     open      low         y      328         404
## 100          P15  24 female   closed     high         A       98         661
## 101          P15  24 female   closed     high         A      128         914
## 102          P15  24 female   closed      low         A      270         803
## 103          P15  24 female   closed      low         A      224         808
## 104          P15  24 female   closed     high         o      135         555
## 105          P15  24 female   closed     high         o       87         579
## 106          P15  24 female   closed      low         o      186         711
## 107          P15  24 female   closed      low         o      195         509
## 108          P15  24 female   closed     high     schwa       68         646
## 109          P15  24 female   closed     high     schwa      150         779
## 110          P15  24 female   closed      low     schwa      263         789
## 111          P15  24 female   closed     high         I      120         593
## 112          P15  24 female   closed     high         I      145         575
## 113          P15  24 female   closed      low         I      188         623
## 114          P15  24 female   closed      low         I      217         658
## 115          P15  24 female   closed     high         Y      151         533
## 116          P15  24 female   closed     high         Y      145         585
## 117          P15  24 female   closed      low         Y      277         668
## 118          P15  24 female   closed      low         Y      126         587
## 119          P18  21   male     open     high         a      231         770
## 120          P18  21   male     open      low         a      206         800
## 121          P18  21   male     open      low         a      282         695
## 122          P18  21   male     open     high     low_o      243         527
## 123          P18  21   male     open     high     low_o      264         537
## 124          P18  21   male     open      low     low_o      243         510
## 125          P18  21   male     open      low     low_o      277         574
## 126          P18  21   male     open     high        ou      282         372
## 127          P18  21   male     open     high        ou      276         278
## 128          P18  21   male     open      low        ou      223         347
## 129          P18  21   male     open      low        ou      236         359
## 130          P18  21   male     open     high unround_o      213         445
## 131          P18  21   male     open     high unround_o      207         417
## 132          P18  21   male     open      low unround_o      228         448
## 133          P18  21   male     open      low unround_o      289         458
## 134          P18  21   male     open     high         e      231         376
## 135          P18  21   male     open     high         e      245         394
## 136          P18  21   male     open      low         e      242         428
## 137          P18  21   male     open      low         e      271         423
## 138          P18  21   male     open     high         E      254         525
## 139          P18  21   male     open     high         E      243         469
## 140          P18  21   male     open      low         E      204         522
## 141          P18  21   male     open      low         E      188         501
## 142          P18  21   male     open     high   round_e      209         343
## 143          P18  21   male     open     high   round_e      264         336
## 144          P18  21   male     open      low   round_e      243         360
## 145          P18  21   male     open      low   round_e      236         345
## 146          P18  21   male     open     high         i      263         234
## 147          P18  21   male     open     high         i      208         271
## 148          P18  21   male     open      low         i      241         350
## 149          P18  21   male     open      low         i      214         283
## 150          P18  21   male     open     high         u      207         397
## 151          P18  21   male     open     high         u      223         341
## 152          P18  21   male     open      low         u      207         396
## 153          P18  21   male     open     high         y      196         383
## 154          P18  21   male     open      low         y      273         422
## 155          P18  21   male   closed     high         A      124         572
## 156          P18  21   male   closed     high         A       88         605
## 157          P18  21   male   closed      low         A      124         584
## 158          P18  21   male   closed      low         A      138         647
## 159          P18  21   male   closed     high         o       98         508
## 160          P18  21   male   closed     high         o      194         499
## 161          P18  21   male   closed      low         o      176         568
## 162          P18  21   male   closed      low         o      270         559
## 163          P18  21   male   closed     high     schwa      133         581
## 164          P18  21   male   closed     high     schwa      108         610
## 165          P18  21   male   closed      low     schwa      137         589
## 166          P18  21   male   closed      low     schwa      125         549
## 167          P18  21   male   closed     high         I      120         456
## 168          P18  21   male   closed     high         I      115         480
## 169          P18  21   male   closed      low         I      141         495
## 170          P18  21   male   closed      low         I      150         517
## 171          P18  21   male   closed     high         Y      112         460
## 172          P18  21   male   closed     high         Y      143         521
## 173          P18  21   male   closed      low         Y      119         535
## 174          P18  21   male   closed      low         Y      109         453
## 175          P23  21   male     open     high         a      370         908
## 176          P23  21   male     open     high         a      343         977
## 177          P23  21   male     open      low         a      423         940
## 178          P23  21   male     open      low         a      338         983
## 179          P23  21   male     open     high     low_o      376         423
## 180          P23  21   male     open     high     low_o      376         516
## 181          P23  21   male     open      low     low_o      398         652
## 182          P23  21   male     open      low     low_o      405         511
## 183          P23  21   male     open     high        ou      376         312
## 184          P23  21   male     open     high        ou      348         307
## 185          P23  21   male     open      low        ou      396         351
## 186          P23  21   male     open      low        ou      409         409
## 187          P23  21   male     open     high unround_o      394         448
## 188          P23  21   male     open     high unround_o      406         336
## 189          P23  21   male     open      low unround_o      459         378
## 190          P23  21   male     open      low unround_o      311         469
## 191          P23  21   male     open     high         e      302         401
## 192          P23  21   male     open     high         e      339         420
## 193          P23  21   male     open      low         e      408         355
## 194          P23  21   male     open      low         e      343         389
## 195          P23  21   male     open     high         E      327         482
## 196          P23  21   male     open     high         E      323         485
## 197          P23  21   male     open      low         E      431         540
## 198          P23  21   male     open      low         E      316         485
## 199          P23  21   male     open     high   round_e      338         361
## 200          P23  21   male     open     high   round_e      318         339
## 201          P23  21   male     open      low   round_e      390         332
## 202          P23  21   male     open      low   round_e      351         296
## 203          P23  21   male     open     high         i      321         271
## 204          P23  21   male     open     high         i      349         271
## 205          P23  21   male     open      low         i      298         291
## 206          P23  21   male     open      low         i      405         330
## 207          P23  21   male     open     high         u      396         313
## 208          P23  21   male     open     high         u      344         332
## 209          P23  21   male     open      low         u      317         369
## 210          P23  21   male     open     high         y      342         335
## 211          P23  21   male     open     high         y      280         324
## 212          P23  21   male   closed     high         A      100         819
## 213          P23  21   male   closed     high         A      111         842
## 214          P23  21   male   closed      low         A      134         673
## 215          P23  21   male   closed      low         A      161         805
## 216          P23  21   male   closed     high         o      139         554
## 217          P23  21   male   closed     high         o      103         495
## 218          P23  21   male   closed      low         o       98         673
## 219          P23  21   male   closed      low         o      132         568
## 220          P23  21   male   closed     high     schwa       73         698
## 221          P23  21   male   closed     high     schwa       77         701
## 222          P23  21   male   closed      low     schwa       73         692
## 223          P23  21   male   closed     high         I       90         418
## 224          P23  21   male   closed     high         I       94         434
## 225          P23  21   male   closed      low         I      148         468
## 226          P23  21   male   closed      low         I      142         478
## 227          P23  21   male   closed      low         Y      105         513
## 228          P23  21   male   closed      low         Y      115         502
## 229          P25  24 female     open     high         a      430        1127
## 230          P25  24 female     open     high         a      553        1181
## 231          P25  24 female     open      low         a      546        1123
## 232          P25  24 female     open      low         a      480        1253
## 233          P25  24 female     open     high     low_o      453         554
## 234          P25  24 female     open     high     low_o      458         693
## 235          P25  24 female     open      low     low_o      444         588
## 236          P25  24 female     open      low     low_o      314         550
## 237          P25  24 female     open     high        ou      394         457
## 238          P25  24 female     open     high        ou      616         491
## 239          P25  24 female     open      low        ou      407         460
## 240          P25  24 female     open     high unround_o      382         535
## 241          P25  24 female     open     high unround_o      394         521
## 242          P25  24 female     open      low unround_o      450         432
## 243          P25  24 female     open      low unround_o      334         480
## 244          P25  24 female     open     high         e      410         496
## 245          P25  24 female     open     high         e      368         500
## 246          P25  24 female     open      low         e      484         480
## 247          P25  24 female     open     high         E      434         656
## 248          P25  24 female     open     high         E      374         544
## 249          P25  24 female     open      low         E      372         511
## 250          P25  24 female     open      low         E      390         628
## 251          P25  24 female     open     high   round_e      425         486
## 252          P25  24 female     open     high   round_e      397         476
## 253          P25  24 female     open      low   round_e      456         370
## 254          P25  24 female     open      low   round_e      276         455
## 255          P25  24 female     open     high         i      344         459
## 256          P25  24 female     open     high         i      335         481
## 257          P25  24 female     open      low         i      489         415
## 258          P25  24 female     open      low         i      509         428
## 259          P25  24 female     open     high         u      314         492
## 260          P25  24 female     open     high         u      396         521
## 261          P25  24 female     open      low         u      332         417
## 262          P25  24 female     open     high         y      476         486
## 263          P25  24 female     open     high         y      255         428
## 264          P25  24 female     open      low         y      338         401
## 265          P25  24 female   closed     high         A      103         981
## 266          P25  24 female   closed     high         A      124         965
## 267          P25  24 female   closed      low         A      172         783
## 268          P25  24 female   closed      low         A      134         897
## 269          P25  24 female   closed     high         o      160         679
## 270          P25  24 female   closed     high         o      100         693
## 271          P25  24 female   closed      low         o      169         692
## 272          P25  24 female   closed      low         o      152         705
## 273          P25  24 female   closed     high     schwa      113         526
## 274          P25  24 female   closed     high     schwa       77         663
## 275          P25  24 female   closed      low     schwa      113         784
## 276          P25  24 female   closed     high         I      113         655
## 277          P25  24 female   closed     high         I      116         614
## 278          P25  24 female   closed      low         I       97         560
## 279          P25  24 female   closed      low         I      132         536
## 280          P25  24 female   closed     high         Y      129         514
## 281          P25  24 female   closed      low         Y      161         723
## 282          P25  24 female   closed      low         Y      192         715
## 283         P222  23 female     open     high         a      383         933
## 284         P222  23 female     open     high         a      373         787
## 285         P222  23 female     open     high     low_o      385         572
## 286         P222  23 female     open     high     low_o      442         636
## 287         P222  23 female     open     high unround_o      358         498
## 288         P222  23 female     open     high unround_o      404         531
## 289         P222  23 female     open      low unround_o      295         504
## 290         P222  23 female     open      low unround_o      328         526
## 291         P222  23 female     open     high         e      456         544
## 292         P222  23 female     open     high         e      370         484
## 293         P222  23 female     open      low         e      391         443
## 294         P222  23 female     open      low         e      481         458
## 295         P222  23 female     open     high         E      347         635
## 296         P222  23 female     open     high         E      364         614
## 297         P222  23 female     open      low         E      406         588
## 298         P222  23 female     open     high   round_e      349         509
## 299         P222  23 female     open     high   round_e      377         403
## 300         P222  23 female     open      low         y      327         397
## 301         P222  23 female     open      low         y      333         425
## 302         P222  23 female   closed     high         A      112         868
## 303         P222  23 female   closed     high         A      142         881
## 304         P222  23 female   closed     high         o      104         582
## 305         P222  23 female   closed     high         o      102         592
## 306         P222  23 female   closed     high     schwa      230         654
## 307         P222  23 female   closed     high     schwa       97         636
## 308         P222  23 female   closed      low     schwa      202         621
## 309         P222  23 female   closed     high         I      107         523
## 310         P222  23 female   closed     high         I       94         588
## 311         P222  23 female   closed      low         I      123         481
## 312         P222  23 female   closed     high         Y       90         566
## 313         P222  23 female   closed     high         Y      139         582
## 314         P222  23 female   closed      low         Y      136         465
## 315         P234  24 female     open     high         a      288         968
## 316         P234  24 female     open     high         a      268        1029
## 317         P234  24 female     open      low         a      443        1000
## 318         P234  24 female     open      low         a      304        1062
## 319         P234  24 female     open     high     low_o      373         782
## 320         P234  24 female     open      low     low_o      326         707
## 321         P234  24 female     open      low     low_o      274         646
## 322         P234  24 female     open     high        ou      352         392
## 323         P234  24 female     open      low        ou      350         412
## 324         P234  24 female     open      low        ou      292         346
## 325         P234  24 female     open     high unround_o      356         566
## 326         P234  24 female     open     high unround_o      403         496
## 327         P234  24 female     open      low unround_o      335         602
## 328         P234  24 female     open      low unround_o      342         519
## 329         P234  24 female     open     high         e      333         432
## 330         P234  24 female     open     high         e      333         430
## 331         P234  24 female     open      low         e      287         464
## 332         P234  24 female     open      low         e      325         462
## 333         P234  24 female     open     high         E      292         532
## 334         P234  24 female     open     high         E      339         526
## 335         P234  24 female     open      low         E      299         577
## 336         P234  24 female     open      low         E      295         583
## 337         P234  24 female     open     high   round_e      340         390
## 338         P234  24 female     open     high   round_e      345         378
## 339         P234  24 female     open      low   round_e      307         398
## 340         P234  24 female     open     high         i      381         287
## 341         P234  24 female     open     high         i      317         280
## 342         P234  24 female     open      low         i      282         259
## 343         P234  24 female     open      low         i      303         266
## 344         P234  24 female     open     high         u      330         307
## 345         P234  24 female     open     high         u      304         437
## 346         P234  24 female     open      low         u      260         398
## 347         P234  24 female     open      low         u      305         352
## 348         P234  24 female     open     high         y      341         310
## 349         P234  24 female     open     high         y      371         308
## 350         P234  24 female     open      low         y      257         270
## 351         P234  24 female   closed     high         A      145         916
## 352         P234  24 female   closed     high         A      179         927
## 353         P234  24 female   closed      low         A      197        1048
## 354         P234  24 female   closed     high         o      168         687
## 355         P234  24 female   closed     high         o      235         622
## 356         P234  24 female   closed      low         o      219         632
## 357         P234  24 female   closed     high     schwa      200         902
## 358         P234  24 female   closed     high     schwa      149         782
## 359         P234  24 female   closed      low     schwa      236         841
## 360         P234  24 female   closed     high         I      179         487
## 361         P234  24 female   closed      low         I      126         568
## 362         P234  24 female   closed      low         I      205         627
## 363         P234  24 female   closed     high         Y      225         713
## 364         P234  24 female   closed     high         Y      122         621
## 365         P234  24 female   closed      low         Y      132         640
## 366         P234  24 female   closed      low         Y      198         681
## 367           P1  24   male     open     high         a      418         820
## 368           P1  24   male     open     high         a      467         848
## 369           P1  24   male     open      low         a      486        1054
## 370           P1  24   male     open      low         a      483        1113
## 371           P1  24   male     open     high     low_o      459         464
## 372           P1  24   male     open     high     low_o      352         564
## 373           P1  24   male     open      low     low_o      524         394
## 374           P1  24   male     open      low     low_o      525         539
## 375           P1  24   male     open     high        ou      482         351
## 376           P1  24   male     open     high        ou      458         330
## 377           P1  24   male     open      low        ou      446         292
## 378           P1  24   male     open      low        ou      474         320
## 379           P1  24   male     open     high unround_o      429         411
## 380           P1  24   male     open     high unround_o      438         428
## 381           P1  24   male     open      low unround_o      391         564
## 382           P1  24   male     open      low unround_o      490         571
## 383           P1  24   male     open     high         e      447         352
## 384           P1  24   male     open     high         e      414         396
## 385           P1  24   male     open      low         e      500         605
## 386           P1  24   male     open      low         e      389         494
## 387           P1  24   male     open     high         E      413         454
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## 1133         P39  23 female     open     high unround_o      470         461
## 1134         P39  23 female     open      low unround_o      308         416
## 1135         P39  23 female     open      low unround_o      422         459
## 1136         P39  23 female     open     high         e      363         491
## 1137         P39  23 female     open     high         e      383         492
## 1138         P39  23 female     open      low         e      428         471
## 1139         P39  23 female     open      low         e      340         460
## 1140         P39  23 female     open     high         E      337         677
## 1141         P39  23 female     open     high         E      361         519
## 1142         P39  23 female     open      low         E      276         616
## 1143         P39  23 female     open      low         E      284         508
## 1144         P39  23 female     open     high   round_e      316         430
## 1145         P39  23 female     open     high   round_e      303         409
## 1146         P39  23 female     open      low   round_e      343         385
## 1147         P39  23 female     open      low   round_e      301         396
## 1148         P39  23 female     open     high         i      372         317
## 1149         P39  23 female     open     high         i      420         354
## 1150         P39  23 female     open      low         i      296         448
## 1151         P39  23 female     open      low         i      304         349
## 1152         P39  23 female     open     high         u      247         470
## 1153         P39  23 female     open     high         u      325         447
## 1154         P39  23 female     open      low         u      291         216
## 1155         P39  23 female     open      low         u      332         443
## 1156         P39  23 female     open     high         y      340         399
## 1157         P39  23 female     open     high         y      369         387
## 1158         P39  23 female     open      low         y      366         277
## 1159         P39  23 female     open      low         y      389         384
## 1160         P39  23 female   closed     high         A       89         837
## 1161         P39  23 female   closed     high         A      107         869
## 1162         P39  23 female   closed      low         A      133         747
## 1163         P39  23 female   closed      low         A      168         708
## 1164         P39  23 female   closed     high         o      116         717
## 1165         P39  23 female   closed     high         o      209         763
## 1166         P39  23 female   closed      low         o      146         742
## 1167         P39  23 female   closed      low         o      126         714
## 1168         P39  23 female   closed     high     schwa      212         587
## 1169         P39  23 female   closed     high     schwa       88         774
## 1170         P39  23 female   closed      low     schwa      180         824
## 1171         P39  23 female   closed      low     schwa      147         796
## 1172         P39  23 female   closed     high         I      141         690
## 1173         P39  23 female   closed     high         I      116         727
## 1174         P39  23 female   closed      low         I      163         666
## 1175         P39  23 female   closed      low         I      149         692
## 1176         P39  23 female   closed     high         Y      162         679
## 1177         P39  23 female   closed     high         Y      148         694
## 1178         P39  23 female   closed      low         Y      146         704
## 1179         P39  23 female   closed      low         Y      147         695
## 1180          P5  26   male     open     high         a      348         755
## 1181          P5  26   male     open     high         a      312         760
## 1182          P5  26   male     open      low         a      325         723
## 1183          P5  26   male     open      low         a      352         799
## 1184          P5  26   male     open     high     low_o      333         494
## 1185          P5  26   male     open     high     low_o      328         511
## 1186          P5  26   male     open      low     low_o      328         497
## 1187          P5  26   male     open      low     low_o      357         467
## 1188          P5  26   male     open     high        ou      395         422
## 1189          P5  26   male     open      low        ou      387         407
## 1190          P5  26   male     open      low        ou      301         385
## 1191          P5  26   male     open     high unround_o      441         424
## 1192          P5  26   male     open     high unround_o      346         434
## 1193          P5  26   male     open      low unround_o      316         381
## 1194          P5  26   male     open      low unround_o      368         436
## 1195          P5  26   male     open     high         e      370         540
## 1196          P5  26   male     open     high         e      263         506
## 1197          P5  26   male     open      low         e      308         476
## 1198          P5  26   male     open      low         e      343         434
## 1199          P5  26   male     open     high         E      353         495
## 1200          P5  26   male     open     high         E      295         505
## 1201          P5  26   male     open      low         E      352         468
## 1202          P5  26   male     open      low         E      314         433
## 1203          P5  26   male     open     high   round_e      292         366
## 1204          P5  26   male     open     high   round_e      302         350
## 1205          P5  26   male     open      low   round_e      450         320
## 1206          P5  26   male     open      low   round_e      293         370
## 1207          P5  26   male     open     high         i      299         296
## 1208          P5  26   male     open     high         i      273         291
## 1209          P5  26   male     open      low         i      339         264
## 1210          P5  26   male     open      low         i      229         287
## 1211          P5  26   male     open     high         u      266         455
## 1212          P5  26   male     open     high         u      355         341
## 1213          P5  26   male     open      low         u      390         289
## 1214          P5  26   male     open     high         y      305         314
## 1215          P5  26   male     open     high         y      324         323
## 1216          P5  26   male     open      low         y      390         292
## 1217          P5  26   male     open      low         y      431         304
## 1218          P5  26   male   closed     high         A      141         745
## 1219          P5  26   male   closed     high         A      148         759
## 1220          P5  26   male   closed      low         A      248         655
## 1221          P5  26   male   closed      low         A      160         706
## 1222          P5  26   male   closed     high         o      185         722
## 1223          P5  26   male   closed     high         o      199         592
## 1224          P5  26   male   closed      low         o      226         455
## 1225          P5  26   male   closed      low         o      223         560
## 1226          P5  26   male   closed     high     schwa      210         644
## 1227          P5  26   male   closed     high     schwa      172         688
## 1228          P5  26   male   closed      low     schwa      315         707
## 1229          P5  26   male   closed     high         I      182         503
## 1230          P5  26   male   closed     high         I      184         617
## 1231          P5  26   male   closed      low         I      178         482
## 1232          P5  26   male   closed     high         Y      230         590
## 1233          P5  26   male   closed     high         Y      127         470
## 1234          P5  26   male   closed      low         Y      148         573
##      F2_midpoint F1_0.75point F2_0.75point  H1.H2 f0_gap creakiness highness
## 1           1738         1064         1704  10.44      0          0      low
## 2           1573          963         1580  -1.42      0          0      low
## 3           1815         1079         1784   5.27      0          0      low
## 4           1537         1125         1809   4.57      0          0      low
## 5            866          674          965  -4.20      0          0      mid
## 6            880          442          876  -1.91      0          0      mid
## 7            939          481          971   2.32      0          0      mid
## 8            936          540          969   0.54      0          0      mid
## 9            768          467          924   0.78      0          0     high
## 10           737          295          471   0.00      0          0     high
## 11           648          340          411   6.32      0          0     high
## 12           727          441          695  -0.67      0          0     high
## 13          1075          334          641  -1.18      0          0      mid
## 14           997          417          930  -0.35      0          0      mid
## 15          1291          351         1041   2.86      0          0      mid
## 16          1253          411         1167   1.05      0          0      mid
## 17          2494          392         2423  -8.25      0          0      mid
## 18          2430          659         2476  -9.34      0          0      mid
## 19          2511          517         2397  -0.04      0          0      mid
## 20          2532          567         2511  -1.10      0          0      mid
## 21          2464          501         2421  -9.13      0          0      mid
## 22          2464          446         2482 -10.69      0          0      mid
## 23          2484          468         2435  -1.12      0          0      mid
## 24          2502          535         2467  -0.47      2          1      mid
## 25          1938          320         1985   2.40      0          0      mid
## 26          1970          355         1925   3.47      0          0      mid
## 27          1740          379         1926  -1.84      0          0      mid
## 28          1789          337         1925  -3.45      0          0      mid
## 29          2880          265         2750  13.14      0          0     high
## 30          2749          285         2937  13.30      0          0     high
## 31          2787          346         2787   6.13      0          0     high
## 32          2778          441         2785   5.01      0          0     high
## 33           858          321          626   0.18      0          0     high
## 34           797          345          966   1.08      0          0     high
## 35           702          319          770   1.04      0          0     high
## 36           917          326          787   0.95      0          0     high
## 37          2497          287         2368  15.94      0          0     high
## 38          2255          379         2388   7.89      0          0     high
## 39          2435          342         2478  12.01      0          0     high
## 40          2352          299         2303  15.23      0          0     high
## 41          1774          851         1712  -3.13      1          1      low
## 42          1902          739         1930  -1.06      0          0      low
## 43          1722          981         1698   2.51      0          0      low
## 44          1780          967         1782  -1.67      0          0      low
## 45          1001          518         1075 -11.79      0          0     high
## 46          1034          578         1036  -0.28      0          0     high
## 47          1143          693         1179  -0.16      1          1     high
## 48          1068          681         1134  -6.01      0          0     high
## 49          1826          868         1641 -20.36      0          0      mid
## 50          1705          977         1468  -1.43      0          0      mid
## 51          1709          887         1737   2.56      0          0      mid
## 52          2278          487         2209  -5.00      0          0     high
## 53          2434          548         2184  -2.97      2          1     high
## 54          2248          788         2117  -3.05      0          0     high
## 55          2322          630         2118   0.01      0          0     high
## 56          1911          489         1868  -7.63      0          0     high
## 57          1839          369         1731   6.17      1          1     high
## 58          1925          795         1897  -4.88      0          0     high
## 59          1908          810         1877  -3.29      0          0     high
## 60          1320          902         1312   8.71      0          0      low
## 61          1419          993         1298  -1.91      0          0      low
## 62          1227          674         1204  -0.17      0          0      low
## 63          1471         1059         1199   1.14      0          0      low
## 64           754          550          911 -15.12      0          0      mid
## 65           899          627          928 -13.80      1          1      mid
## 66           810          542         1004 -13.75      1          1      mid
## 67           837          552          974  -9.44      0          0      mid
## 68           762          563          873   4.01      2          1     high
## 69           533          368          569   5.18      0          0     high
## 70           634          453          761   2.28      0          0     high
## 71           715          530          668   4.98      0          0     high
## 72          1531          511         1526 -13.30      0          0      mid
## 73          1507          545         1615 -13.38      0          0      mid
## 74          1256          488         1315  -4.55      0          0      mid
## 75          1326          470         1384  -0.60      0          0      mid
## 76          1600          509         3086 -16.19      0          0      mid
## 77          1797          513         1815 -10.47      0          0      mid
## 78          2478          491         2587  -8.46      0          0      mid
## 79          2549          489         2860  -7.70      0          0      mid
## 80          2381          608         2420  -9.70      0          0      mid
## 81          2447          519         2327 -15.45      0          0      mid
## 82          2421          676         2382  -8.13      0          0      mid
## 83          1450          561         2419  -3.56      1          1      mid
## 84          1880          469         1928   4.24      0          0      mid
## 85          1738          478         2060   3.59      0          0      mid
## 86          1981          460         1568   3.81      0          0      mid
## 87          1603          491         2141   4.97      0          0      mid
## 88          2018          406         2964   8.37      1          1     high
## 89          2928          437         2990   3.27      0          0     high
## 90          2294          375         1807   7.52      0          0     high
## 91          1710          266         1941  17.66      2          1     high
## 92           539          527          754  -3.90      0          0     high
## 93           830          542          830  -2.00      0          0     high
## 94           985          389         1057  -6.92      0          0     high
## 95           870          479         1044  -0.70      0          0     high
## 96          2292          509         2124   8.39      0          0     high
## 97          2188          500         2257  15.52      0          0     high
## 98          2154          440         2133  11.55      0          0     high
## 99          2357          479         2291  17.67      0          0     high
## 100         1165          616         1220 -15.92      0          0      low
## 101         1247          878         1307 -15.13      0          0      low
## 102         1461          761         1438  -2.60      0          0      low
## 103         1500          812         1363  -1.45      0          0      low
## 104          948          507          998  -8.81      0          0     high
## 105          952          574         1038  -8.56      0          0     high
## 106         1038          645         1054 -11.66      0          0     high
## 107          996          530         1007 -11.73      1          1     high
## 108         1465          698         1470 -24.95      0          0      mid
## 109         1197          718         1489 -10.73      1          1      mid
## 110         1197          912         1328  -6.31      0          0      mid
## 111         2655          575         2596   5.18      0          0     high
## 112         2498          654         2464  -0.53      0          0     high
## 113         2509          578         1840  -3.88      0          0     high
## 114         2259          736         1927   2.45      0          0     high
## 115         1540          618         1753   4.63      0          0     high
## 116         1610          583         1784  13.20      0          0     high
## 117         1509          685         1492   3.72      0          0     high
## 118         1917          633         1783   8.83      0          0     high
## 119         1183          753         1136   8.53      0          0      low
## 120         1160          696         1141   6.88      0          0      low
## 121         1131          658         1112  10.35      2          1      low
## 122          755          519          807  10.76      0          0      mid
## 123          786          523          850  12.61      0          0      mid
## 124          799          511          758   5.12      0          0      mid
## 125          812          662          692   6.66      0          0      mid
## 126          663          279          785  11.85      0          0     high
## 127          608          539          645  19.52      0          0     high
## 128          673          327          699  -2.70      0          0     high
## 129          648          365          961   1.10      0          0     high
## 130         1213          338         1164   4.28      0          0      mid
## 131         1287          387         1192   9.07      0          0      mid
## 132         1184          361         1146   4.73      0          0      mid
## 133         1299          421         1308   4.56      0          0      mid
## 134         1963          297         2004  14.87      0          0      mid
## 135         1851          316         1877   6.21      0          0      mid
## 136         1963          334         2016   3.58      0          0      mid
## 137         1953          374         1957   5.28      0          0      mid
## 138         1860          470         1816   5.80      0          0      mid
## 139         1892          501         1816   7.85      0          0      mid
## 140         1744          495         1745   3.64      0          0      mid
## 141         1749          486         1716     NA      0          0      mid
## 142         1688          343         1746   8.81      0          0      mid
## 143         1713          276         1671   7.53      0          0      mid
## 144         1746          344         1688   4.64      0          0      mid
## 145         1651          310         1659   7.28      0          0      mid
## 146         2020          201         2009   2.59      0          0     high
## 147         1922          245         1909   2.25      0          0     high
## 148         2079          239         1989  -2.50      0          0     high
## 149         1959          230         2006   0.65      0          0     high
## 150          745          329          771   9.71      0          0     high
## 151          719          243          737   5.43      0          0     high
## 152          927          330          888   4.10      0          0     high
## 153         1899          317         1865  -1.23      0          0     high
## 154         1898          310         1800  -3.79      0          0     high
## 155         1333          560         1332  10.66      0          0      low
## 156         1403          637         1470   8.15      0          0      low
## 157         1223          623         1179   3.87      0          0      low
## 158         1329          642         1297   3.70      0          0      low
## 159          818          519          807     NA      0          0     high
## 160          801          499          920   1.56      0          0     high
## 161          874          571          824   9.18      0          0     high
## 162          945          597          927     NA      2          1     high
## 163         1304          591         1251   6.51      0          0      mid
## 164         1349          656         1363     NA      0          0      mid
## 165         1309          589         1257   4.53      0          0      mid
## 166          914          520          894   1.37      0          0      mid
## 167         1794          500         1785     NA      0          0     high
## 168         1698          512         1689   8.53      0          0     high
## 169         1614          564         1552   0.25      0          0     high
## 170         1781          512         1747   3.42      0          0     high
## 171         1519          441         1356   4.20      0          0     high
## 172         1446          498         1269  -0.15      0          0     high
## 173         1602          535         1486   5.60      0          0     high
## 174         1641          487         1512   8.51      0          0     high
## 175         1208          875         1196  -6.14      0          0      low
## 176         1224          927         1220  -7.30      0          0      low
## 177         1279          876         1240  -6.75      1          1      low
## 178         1228          952         1266 -15.35      0          0      low
## 179          694          452          741  -9.49      0          0      mid
## 180          739          474          854  -8.75      0          0      mid
## 181         1034          602          894 -12.40      0          0      mid
## 182          743          533          758 -13.77      3          1      mid
## 183          606          354          771 -10.29      0          0     high
## 184          656          350          708 -10.80      0          0     high
## 185          643          382          738  -9.35      0          0     high
## 186          970          374          552 -14.25      6          1     high
## 187         1341          399         1311 -11.68      0          0      mid
## 188         1243          418         1283 -12.84      0          0      mid
## 189         1296          400         1265 -14.01      8          1      mid
## 190         1373          381         1356  -7.53      0          0      mid
## 191         2072          387         2273  -7.92      0          0      mid
## 192         2261          339         2249 -15.95      0          0      mid
## 193         2228          324         2279 -11.05      3          1      mid
## 194         2333          353         2506 -12.73      4          1      mid
## 195         1908          482         1937  -6.30      0          0      mid
## 196         1922          509         1970  -6.88      0          0      mid
## 197         2002          518         2011  -6.72      3          1      mid
## 198         2088          486         2053 -11.40     11          1      mid
## 199         1503          327         1648  -8.34      0          0      mid
## 200         1655          340         1551 -10.93      0          0      mid
## 201         1478          367         1592  -7.62      0          0      mid
## 202         1614          357         1653 -14.18      0          0      mid
## 203         2348          322         2269 -12.08      0          0     high
## 204         2498          279         2436 -15.96      0          0     high
## 205         2075          322         1544 -15.64      0          0     high
## 206         1961          346         2165 -11.74      0          0     high
## 207          612          322          683 -10.41      0          0     high
## 208          670          323          730 -10.28      0          0     high
## 209          745          430          824 -14.26      2          1     high
## 210         1795          340         1776  -8.58      0          0     high
## 211         1774          305         1788  -3.85      0          0     high
## 212         1298          725         1342     NA      1          1      low
## 213         1282          786         1250  -8.65      0          0      low
## 214         1254          686         1257 -17.42      0          0      low
## 215         1331          812         1333  -7.84      0          0      low
## 216          884          575          883  -7.59      0          0     high
## 217          803          534          867  -8.99      0          0     high
## 218          919          593          956 -20.16      0          0     high
## 219          873          613          932 -12.75      0          0     high
## 220         1331          749         1339  -8.50      1          1      mid
## 221         1339          678         1311 -12.67      0          0      mid
## 222         1266          683         1253     NA      0          0      mid
## 223         2105          467         2049 -27.90      4          1     high
## 224         2074          453         2082  14.23      1          1     high
## 225         1903          558         1731 -11.43      0          0     high
## 226         1978          567         1707     NA      0          0     high
## 227         1573          589         1496 -19.46      0          0     high
## 228         1659          579         1572 -12.10      2          1     high
## 229         1522         1105         1579 -20.47      0          0      low
## 230         1537         1056         1518   2.85      0          0      low
## 231         1378         1046         1389   0.99      1          1      low
## 232         1503         1194         1508   1.60      1          1      low
## 233          783          532          876  -6.64      0          0      mid
## 234          809          712          777 -15.50      0          0      mid
## 235          831          671          946 -12.12      0          0      mid
## 236          838          632          923  -0.23      0          0      mid
## 237          545          476          700   5.73      0          0     high
## 238          716          503          748  12.25      0          0     high
## 239          610          487          725   0.19      0          0     high
## 240         1255          551         1419  -9.71      1          1      mid
## 241         1466          498         1544  -8.52      0          0      mid
## 242         1550          433         1541  -4.23      0          0      mid
## 243         1617          516         1521  -0.04      0          0      mid
## 244         2231          511         2769  -6.98      0          0      mid
## 245         2683          521         2780 -10.29      0          0      mid
## 246         2872          388         2914  -5.01      0          0      mid
## 247         2573          712         2397  -6.41      1          1      mid
## 248         2401          567         2195  -5.05      0          0      mid
## 249         2396          544         2318  -9.42      0          0      mid
## 250         2647          640         2562  -5.52      0          0      mid
## 251         1862          518         1918   3.74      1          1      mid
## 252         2020          510         1977  -0.95      0          0      mid
## 253         1967          436         1949  -6.08      0          0      mid
## 254         1943          487         2016  -0.70      0          0      mid
## 255         3402          457         3118   8.10      0          0     high
## 256         3373          487         3302   9.61      1          1     high
## 257         2857          449         3063  -0.86      0          0     high
## 258         2965          434         2888  -2.48      0          0     high
## 259          757          512          789  -9.68      0          0     high
## 260          970          498          756  -2.82      0          0     high
## 261          823          502          764  -1.12      0          0     high
## 262         2814          536         2408   7.03      0          0     high
## 263         2343          425         2336   5.78      0          0     high
## 264         2451          374         2617   3.28      0          0     high
## 265         1710          984         1681  -2.24      0          0      low
## 266         1563         1035         1592  -2.29      0          0      low
## 267         1654          848         1597  -7.97      0          0      low
## 268         1646          968         1634  -3.84      0          0      low
## 269          829          722         1049  -9.02      1          1     high
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## 646         2533          626         2242  -2.88      1          1      mid
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## 652         2836          330         2809  10.21      0          0     high
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## 672         2340          553         2385  -1.50      0          0     high
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## 691         1605          535         1501  -5.74      0          0      mid
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## 724         1587          853         1693  -4.96      0          0      mid
## 725         2223          675         2150   9.37      0          0     high
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## 745         1107          398         1063  12.18      0          0      mid
## 746         1147          369         1185  -8.59      0          0      mid
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## 757         1378          331         2130  -7.52      0          0      mid
## 758         1903          276         2071  -6.01      0          0     high
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## 761         1744          274         2150 -13.79      0          0     high
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## 767         1758          276         1842   1.79      0          0     high
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## 785         1732          488         1694   3.53      0          0     high
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## 787         1824          360         1764  -5.04      1          1     high
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## 790         1202          799         1154  11.46      0          0      low
## 791         1454          968         1480  -4.80      0          0      low
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## 794          787          540          855  -6.64      0          0      mid
## 795          724          423          789  -7.94      0          0     high
## 796          749          409          721  -9.45      1          0     high
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## 811         1903          404         1894  -3.88      0          0      mid
## 812         2460          367         2283  -9.62      0          0     high
## 813         2623          377         2626  -9.33      0          0     high
## 814         2669          388         2734  -8.35      0          0     high
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## 831         1440          730         1416  -5.11      0          0      mid
## 832         1918          616         2119  -8.66      0          0     high
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## 834         2356          672         2280  -7.18      0          0     high
## 835         2274          656         2201  -6.17      0          0     high
## 836         1647          554         1621  -3.59      2          0     high
## 837         1569          624         1574  -5.94      0          0     high
## 838         1587          694         1596  -5.13      0          0     high
## 839         1658          702         1663  -6.46      1          1     high
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## 842         1419         1217         1520   3.54      1          1      low
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## 846          660          345          660  -1.00      0          0      mid
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## 848          533          309          670  -0.50      1          1     high
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## 853         1499          356         1437   4.11      0          0      mid
## 854         1440          324         1338   1.90      0          0      mid
## 855         1528          380         1450   1.68      1          1      mid
## 856         2085          272         2320   6.11      0          0      mid
## 857         2143          350         2356   7.59      0          0      mid
## 858         2074          336         2281   0.82      1          1      mid
## 859         2085          307         2279  -1.39      0          0      mid
## 860         2073          397         2067   7.57      0          0      mid
## 861         2109          523         2073   6.66      0          0      mid
## 862         2022          434         2060   4.27      1          1      mid
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## 865         1533          338         1542   0.60      0          0      mid
## 866         1622          334         1597  -0.78      0          0      mid
## 867         1592          338         1547  -1.57      0          0      mid
## 868         2078          182         2208  18.84      0          0     high
## 869         2266          214         2269   7.12      0          0     high
## 870         2308          277         2201   0.05      0          0     high
## 871         2112          213         2131  -0.41      0          0     high
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## 873         1022          321          828   5.92      0          0     high
## 874          892          265         1022   4.33      1          0     high
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## 877         1723          223         1794  14.93      0          0     high
## 878         1858          198         1781   3.06      1          1     high
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## 881         1391          997         1482  12.06      0          0      low
## 882         1292          873         1350   7.81      0          0      low
## 883          664          459          663   0.03      0          0     high
## 884          770          550          822   4.74      0          0     high
## 885          751          443          796   4.81      1          0     high
## 886          733          362          740  -1.26      0          0     high
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## 888         1380          509         1344  10.02      0          0      mid
## 889         1504          849         1477   6.00      0          0      mid
## 890         2093          310         2011   4.05      0          0     high
## 891         2032          566         2027  -4.06      0          0     high
## 892         1898          485         1938   0.44      0          0     high
## 893         2099          594         2038   2.38      0          0     high
## 894         1573          546         1561   5.68      0          0     high
## 895         1547          624         1556  -1.57      0          0     high
## 896         1578          631         1596   0.62      0          0     high
## 897         1626          566         1619   7.04      1          1     high
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## 899         1142          789         1144   7.24      0          0      low
## 900         1312          859         1271  -0.54      0          0      low
## 901         1375          868         1156  -1.03      1          1      low
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## 903          769          449          764 -11.24      0          0      mid
## 904          701          452          700  -5.04      0          0      mid
## 905          706          494          705  -4.35      0          1      mid
## 906          527          358          561  13.55      0          0     high
## 907          582          310          579   7.36      0          0     high
## 908          751          474          621   8.55      0          0     high
## 909          724          264          470  23.61      0          0     high
## 910         1090          484         1200 -16.84      0          0      mid
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## 912         1041          426         1160  -5.16      0          0      mid
## 913          956          393         1174  -3.95      0          0      mid
## 914         2370          457         2596 -17.22      0          0      mid
## 915         2253          395         2423  -9.44      0          0      mid
## 916         2465          438         2533  -5.06      1          1      mid
## 917         2284          519         2198  -5.98      0          0      mid
## 918         2167          525         2116  -7.40      0          0      mid
## 919         2397          530         2224 -11.32      0          0      mid
## 920         2168          626         2162 -10.02      0          0      mid
## 921         1704          442         1842   4.60      0          0      mid
## 922         1773          414         1870   3.72      0          0      mid
## 923         2677          355         2752  19.00      0          1     high
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## 926         2568          357         2605   6.11      0          0     high
## 927          451          267          472   0.43      0          0     high
## 928          469          293          494   0.20      0          0     high
## 929         2258          465         1884   6.55      0          0     high
## 930         2119          432         1924   7.56      0          0     high
## 931         2126          369         2237   6.78      0          0     high
## 932         1351          774         1330  -3.80      0          0      low
## 933         1405          748         1398 -10.49      1          0      low
## 934          959          670         1276  -6.25      0          0      low
## 935          968          644         1006   0.45      0          0     high
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## 937         1064          645         1075  -6.64      0          0     high
## 938         1064          691         1070 -14.44      0          0     high
## 939         1451          731         1430 -12.91      0          0      mid
## 940         1346          745         1357  -3.69      0          0      mid
## 941         2380          563         1795   9.10      0          0     high
## 942         2036          609         1880   6.01      0          0     high
## 943         1932          712         1659  -8.68      0          0     high
## 944         1502          655         1439   5.65      0          0     high
## 945         1615          681         1568  -0.79      0          0     high
## 946         1538          642         1579  -2.79      0          0     high
## 947         1335          671         1374   2.78      0          0     high
## 948         1475          752         1149   8.29      0          0      low
## 949         1541          976         1408  -8.73      0          0      low
## 950         1621         1072         1507  -0.33      0          0      low
## 951         1332         1045         1488  -2.82      0          0      low
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## 954          894          618          952 -15.69      2          1      mid
## 955          794          529          898  -6.59      2          1      mid
## 956          700          488          835 -21.43      0          0     high
## 957          705          515          761 -10.99      0          0     high
## 958          725          543          843 -19.30      0          0     high
## 959          773          532          771 -20.52      1          1     high
## 960         1365          482         1191 -26.72      0          0      mid
## 961         1566          493         1461 -23.14      0          0      mid
## 962         1474          516         1250 -11.18      0          0      mid
## 963         1426          522         1278  -8.51      0          0      mid
## 964         2335          483         2670 -18.43      0          0      mid
## 965         2311          480         2669 -23.09      0          0      mid
## 966         2546          447         2753 -14.65      0          0      mid
## 967         2574          470         2807 -12.49      0          0      mid
## 968         2384          471         2364 -32.56      0          0      mid
## 969         2367          505         2287 -18.62      3          1      mid
## 970         2330          519         2543   3.86      0          0      mid
## 971         2367          518         2362  -1.62      0          0      mid
## 972         2328          499         2072  -5.60      2          1      mid
## 973         2083          452         2021 -10.20      2          1      mid
## 974         2071          467         2448  -6.69      0          1      mid
## 975         1966          514         2126 -10.90      0          1      mid
## 976         2803          477         2853  -5.71      0          0     high
## 977         2818          501         2787 -17.14      0          0     high
## 978         2215          504         3012 -14.58      0          0     high
## 979         2673          461         2550  -3.31      0          0     high
## 980          815          274          458 -18.38      0          0     high
## 981          476          343          520 -19.42      0          0     high
## 982          932          450          628     NA      0          0     high
## 983         2199          506         2036 -13.60      0          0     high
## 984         2184          460         2194 -25.40      1          1     high
## 985         1337          585          995 -21.49      0          0      low
## 986          979          664          923 -20.73      0          0      low
## 987         1008          581         1119  -0.79      0          0      low
## 988          995          610          952     NA      0          0     high
## 989         1047          507          975 -37.97      0          0     high
## 990          978          614         1011  -0.71      0          0     high
## 991          950          626          968 -19.45      1          0     high
## 992         1529          834         1502 -27.87      0          0      mid
## 993         1183          692         1506 -23.51      0          0      mid
## 994         1599          643         1171  -9.80      0          0      mid
## 995         2299          541         2281  -8.02      1          0     high
## 996         2036          574         2153  27.98      6          0     high
## 997         2305          565         2232 -17.95      1          0     high
## 998         2354          573         2297     NA      1          0     high
## 999         1498          529         1687  27.51      0          0     high
## 1000        1845          545         1840 -12.08      1          0     high
## 1001        1652          578         1747  -2.38      0          0     high
## 1002        1252          911         1297   6.25      1          1      low
## 1003        1577          585         1109   8.19      0          0      low
## 1004        1279         1101         1385  12.86      1          1      low
## 1005        1287          949         1300  10.28      1          1      low
## 1006         829          415          872   3.15      0          0      mid
## 1007         836          498          866   6.89      1          0      mid
## 1008         863          515          812  18.83      0          0      mid
## 1009         831          269          823  13.07      0          0      mid
## 1010         605          274          700   3.30      1          1     high
## 1011         518          276          589   2.64      1          0     high
## 1012         735          236          785  14.14      0          0     high
## 1013         893          338          711  17.31      0          0     high
## 1014        1394          298         1330   8.45      0          0      mid
## 1015        1482          270         1419   4.60      0          0      mid
## 1016        1337          314         1336  18.22      0          0      mid
## 1017        1392          310         1395  12.35      0          1      mid
## 1018        2349          225         2316   4.28      0          0      mid
## 1019        2169          218         2239   6.42      0          0      mid
## 1020        2239          247         2432  16.76      0          0      mid
## 1021        2361          248         2420  13.79      0          0      mid
## 1022        2100          207         1994   2.99      0          0      mid
## 1023        2098          237         2037   2.03      0          0      mid
## 1024        2102          301         1959  17.00      1          1      mid
## 1025        2152          477         2052  11.04      0          0      mid
## 1026        1641          272         1617   2.37      0          0      mid
## 1027        1644          227         1670  -3.58      0          0      mid
## 1028        1548          270         1549  16.47      0          0      mid
## 1029        1548          318         1555   7.94      0          0      mid
## 1030        2649          256         2580   1.90      0          0     high
## 1031        2375          258         2334   2.37      2          0     high
## 1032        2446          224         2294  14.40      0          0     high
## 1033        2551          278         2418   6.67      1          0     high
## 1034         868          268          822   5.17      0          0     high
## 1035         887          270         1125   2.75      0          0     high
## 1036         860          325          817  14.85      1          1     high
## 1037        1224          313         1105  10.47      1          1     high
## 1038        1877          209         1777   4.32      0          0     high
## 1039        1864          283         1812   4.98      0          0     high
## 1040        1909          300         1774  13.81      1          0     high
## 1041        1813          297         1788   8.31      0          0     high
## 1042        1496          879         1463   3.09      0          0      low
## 1043        1544          836         1464   5.89      0          0      low
## 1044        1384          711         1334  21.25      0          0      low
## 1045        1363          909         1373  10.80      0          0      low
## 1046         792          319          801   0.59      0          0     high
## 1047         858          339          866   3.74      0          0     high
## 1048         908          351          930   7.40      0          0     high
## 1049         866          118          873  10.62      0          0     high
## 1050        1393          794         1361   5.42      0          0      mid
## 1051        1448          668         1404   4.98      0          0      mid
## 1052        1334         1253         1366  21.96      0          0      mid
## 1053        1843          418         1791   0.63      0          0     high
## 1054        2036          359         1852  -1.15      0          0     high
## 1055        1998          301         1795   5.05      0          0     high
## 1056        2113          600         2003   5.86      0          0     high
## 1057        1355          380         1326   4.47      1          1     high
## 1058        1402          541         1351   3.32      0          0     high
## 1059        1457          426         1345  11.45      0          0     high
## 1060        1355          660         1330   7.90      0          0     high
## 1061        1536         1089         1587   5.34      0          0      low
## 1062        1577         1104         1379   5.86      0          0      low
## 1063        1467         1196         1564   7.41      0          0      low
## 1064        1590         1033         1609   5.05      0          0      low
## 1065         841          653          869  -6.10      0          0      mid
## 1066         843          576          896  -0.53      0          0      mid
## 1067         818          593          889  -3.26      0          0      mid
## 1068         778          602          927  -1.61      0          0      mid
## 1069         610          390          744  -0.04      0          0     high
## 1070         596          396          644   3.82      0          0     high
## 1071         572          363          589  -2.75      0          0     high
## 1072         564          422          660  -3.28      0          0     high
## 1073        1297          498         1195  -0.85      0          0      mid
## 1074        1310          475         1199   1.76      0          0      mid
## 1075        1356          516         1277   1.86      1          1      mid
## 1076        1296          474         1271   2.62      0          0      mid
## 1077        2278          469         2390  -0.53      0          0      mid
## 1078        2392          445         2612   1.84      0          1      mid
## 1079        1976          459         2501  -1.30      0          1      mid
## 1080        2313          465         2501   1.06      0          1      mid
## 1081        2281          628         2229  -1.78      0          0      mid
## 1082        2279          685         2282  -4.51      0          1      mid
## 1083        2336          589         2326  -4.56      0          1      mid
## 1084        2325          583         2330  -1.11      0          0      mid
## 1085        1699          397         1773  -3.11      0          0      mid
## 1086        1719          359         1755  -0.47      0          0      mid
## 1087        1738          368         1773  -9.24      0          0      mid
## 1088        1603          371         1664  -1.89      0          0      mid
## 1089        2743          357         2754   5.83      0          0     high
## 1090        2841          348         2822  -0.25      0          0     high
## 1091        2802          308         2760  -1.86      2          1     high
## 1092        2729          304         2684  -2.75      0          0     high
## 1093         777          441          724   0.88      0          0     high
## 1094         746          392          726   1.16      1          0     high
## 1095         816          503          795  -1.09      0          0     high
## 1096         745          388          739   0.17      0          0     high
## 1097        2044          352         2022  -0.39      0          0     high
## 1098        2118          374         1989  -1.91      0          0     high
## 1099        2091          400         2025   1.37      2          1     high
## 1100        1995          353         2026  -3.53      0          0     high
## 1101        1634          957         1649   4.41      0          0      low
## 1102        1624         1009         1618   3.63      0          0      low
## 1103        1644         1139         1707  -1.03      1          1      low
## 1104        1606         1029         1644   1.34      0          0      low
## 1105         847          685          951  -7.38      0          0     high
## 1106         820          662          953  -3.42      0          0     high
## 1107         857          693          954  -5.47      0          0     high
## 1108         937          758          962  -7.22      0          0     high
## 1109        1616          946         1551   6.04      0          0      mid
## 1110        1545          928         1488   4.82      0          0      mid
## 1111        1604          962         1684  -2.00      0          1      mid
## 1112        2200          718         2026  -1.53      0          0     high
## 1113        2377          618         2199  -3.56      0          0     high
## 1114        2185          689         2135  -6.99      0          0     high
## 1115        2270          740         2166  -6.06      0          0     high
## 1116        1794          728         1917  -1.77      0          0     high
## 1117        1924          635         1927  -6.58      0          0     high
## 1118        2033          683         1846  -4.71      0          0     high
## 1119        2137          742         2090  -0.83      0          0     high
## 1120        1542          914         1605  17.98      0          0      low
## 1121        1391          942         1414   8.00      1          1      low
## 1122        1410         1025         1469   7.57      1          1      low
## 1123        1424         1141         1475   7.44      1          1      low
## 1124         882          519          617  -2.23      0          0      mid
## 1125         864          655          911  -6.01      0          0      mid
## 1126         748          481          527   3.68      0          1      mid
## 1127         987          717          993  -4.55      0          1      mid
## 1128         778          476          743   4.52      0          0     high
## 1129         894          516          688   2.35      1          1     high
## 1130         666          430          838   9.83      1          0     high
## 1131         791          426          820  12.19      0          0     high
## 1132        1242          372         1180  -0.56      0          0      mid
## 1133        1433          418         1411  -1.09      1          1      mid
## 1134        1154          392         1285  12.86      1          1      mid
## 1135        1256          431         1212  -2.36      0          1      mid
## 1136        2467          354         2574     NA      1          1      mid
## 1137        2531          404         2590  20.02      0          0      mid
## 1138        2502          402         2551   4.05      5          1      mid
## 1139        2526          305         2590   2.17      2          1      mid
## 1140        2366          688         2322  -2.45      0          0      mid
## 1141        2382          565         2270   8.60      1          1      mid
## 1142        2410          667         2448  -4.97      0          0      mid
## 1143        2421          554         2351  -4.10      0          0      mid
## 1144        1544          458         1558  -5.21      0          0      mid
## 1145        1721          450         1765  11.80      0          0      mid
## 1146        1818          374         1735  -4.82      0          0      mid
## 1147        1690          483         1688  -9.99      1          1      mid
## 1148        2833          303         2840   6.77      0          0     high
## 1149        2752          330         2744   6.45      0          0     high
## 1150        2651          399         2603  13.38      1          0     high
## 1151        2832          401         2687   8.82      0          0     high
## 1152         999          509          962  -6.64      0          0     high
## 1153         921          493          865  -4.11      0          0     high
## 1154         878          437          911  -6.92      0          0     high
## 1155         878          473          921  -3.37      0          0     high
## 1156        1923          396         1951   1.05      0          0     high
## 1157        1867          422         1928  -2.85      0          0     high
## 1158        2010          318         1991   4.71      0          0     high
## 1159        1936          368         1933   3.95      2          1     high
## 1160        1507          816         1503  -4.18      0          0      low
## 1161        1520          827         1506  -4.14      0          0      low
## 1162        1429          767         1484   0.53      2          1      low
## 1163        1410          745         1431  -0.82      0          0      low
## 1164        1070          768         1036 -12.48      0          0     high
## 1165        1086          881         1177   9.11      1          1     high
## 1166        1195          824         1167  -0.51      0          0     high
## 1167        1157          803         1217  -2.01      1          0     high
## 1168        1308          784         1403  -1.20      0          0      mid
## 1169        1613          712         1583  -0.96      0          0      mid
## 1170        1511          820         1515   1.65      0          0      mid
## 1171        1664          722         1514   0.13      0          0      mid
## 1172        2233          780         2140  -4.69      0          0     high
## 1173        2174          766         2090  -2.65      0          0     high
## 1174        2208          694         2099  -3.91      0          0     high
## 1175        2301          784         2074  -2.47      0          0     high
## 1176        1442          753         1404  -3.11      0          0     high
## 1177        1458          724         1412  -1.87      0          0     high
## 1178        1381          767         1417  -1.17      0          0     high
## 1179        1384          743         1366   1.06      0          0     high
## 1180        1169          754         1189   8.22      0          0      low
## 1181        1154          746         1166   2.32      1          1      low
## 1182        1199          703         1175   0.34      0          0      low
## 1183        1147          754         1102   1.29      0          0      low
## 1184         615          517          690  -5.30      0          0      mid
## 1185         665          562          652  -3.05      1          0      mid
## 1186         713          548          809  -3.73      0          0      mid
## 1187         584          531          725  -4.11      0          1      mid
## 1188         692          338          638   0.10      0          0     high
## 1189         759          324          639  -3.39      0          0     high
## 1190         749          324          613  -2.57      0          0     high
## 1191        1341          370         1256  -3.26      6          1      mid
## 1192        1408          370         1382  -2.83      0          0      mid
## 1193        1299          394         1365  -3.57      0          0      mid
## 1194        1277          369         1279  -1.72      1          1      mid
## 1195        1982          520         1892  -3.77      0          0      mid
## 1196        1924          510         1943  -1.38      0          0      mid
## 1197        2361          471         2007  -4.37      1          0      mid
## 1198        2025          474         1960  -2.63      0          0      mid
## 1199        2176          519         1929  -3.38      0          0      mid
## 1200        1958          500         1976  -4.23      0          0      mid
## 1201        2001          538         1969  -2.41      0          0      mid
## 1202        1966          498         1887  -1.18      0          0      mid
## 1203        1396          315         1409  -3.29      0          0      mid
## 1204        1387          312         1361  -7.31      0          0      mid
## 1205        1398          380         1343  -6.80      0          0      mid
## 1206        1385          316         1323  -4.50      1          0      mid
## 1207        2307          320         3151  -5.09      0          0     high
## 1208        2435          315         2443  -5.92      0          0     high
## 1209        2328          307         2460  -2.06      0          0     high
## 1210        2854          276         2422  -2.16      0          0     high
## 1211         503          323          677  -4.12      0          0     high
## 1212         861          364          734  -5.04      0          0     high
## 1213         531          167          490  -3.37      1          1     high
## 1214        1832          326         1775  -3.30      0          0     high
## 1215        1989          310         1776   2.61      1          0     high
## 1216        1831          324         1700   2.84      0          0     high
## 1217        1735          329         1635  -5.16      0          0     high
## 1218        1242          726         1205  -3.34      0          0      low
## 1219        1249          754         1241  -6.30      0          0      low
## 1220        1201          739         1216  -5.19      0          0      low
## 1221        1203          720         1206   2.23      0          0      low
## 1222        1076          737         1064  -1.56      2          0     high
## 1223        1153          683         1106  -1.95      0          0     high
## 1224         694          557          874  -4.34      1          1     high
## 1225        1097          640         1155   0.10      0          0     high
## 1226        1220          703         1215  -1.68      0          0      mid
## 1227        1353          694         1109  -1.93      0          0      mid
## 1228        1135          751         1165  -1.90      1          1      mid
## 1229        1949          664         1651  -5.83      0          0     high
## 1230        1717          721         1492  -4.99      1          1     high
## 1231        1697          685         1392  -9.44      0          0     high
## 1232        1061          646         1089  -5.36      0          0     high
## 1233        1167          585         1440  -2.78      0          0     high
## 1234        1135          626         1176  -5.09      0          0     high
##      backness spectrum_difference
## 1         mid         0.011730205
## 2         mid         0.017985612
## 3         mid         0.013609467
## 4         mid         0.013953488
## 5        back         0.007940447
## 6        back         0.014331210
## 7        back         0.010182768
## 8        back         0.013554217
## 9        back         0.008188586
## 10       back         0.011209440
## 11       back         0.011911357
## 12       back         0.010649351
## 13        mid         0.007476636
## 14        mid         0.009703504
## 15        mid         0.013981763
## 16        mid         0.013256484
## 17      front         0.014333333
## 18      front         0.012202381
## 19      front         0.012188366
## 20      front         0.016352201
## 21      front         0.009308511
## 22      front         0.013125000
## 23      front         0.014457831
## 24      front         0.011845730
## 25      front         0.008585859
## 26      front         0.010140845
## 27      front         0.017905405
## 28      front         0.018088737
## 29      front         0.007226107
## 30      front         0.009066667
## 31      front         0.012256267
## 32      front         0.012680115
## 33       back         0.010946746
## 34       back         0.007960199
## 35       back         0.009367089
## 36       back         0.017532468
## 37      front         0.010734463
## 38      front         0.016896552
## 39      front         0.015923567
## 40      front         0.023371648
## 41        mid         0.064661654
## 42        mid         0.045679012
## 43        mid         0.044670051
## 44        mid         0.075200000
## 45       back         0.049056604
## 46       back         0.026720648
## 47       back         0.025200000
## 48       back         0.038118812
## 49        mid         0.078977273
## 50        mid         0.050632911
## 51        mid         0.034841629
## 52      front         0.068750000
## 53      front         0.057042254
## 54      front         0.026748971
## 55      front         0.018815331
## 56      front         0.053020134
## 57      front         0.049685535
## 58      front         0.031081081
## 59      front         0.020664207
## 60        mid         0.007812500
## 61        mid         0.009497207
## 62        mid         0.006034483
## 63        mid         0.006073753
## 64       back         0.004000000
## 65       back         0.007142857
## 66       back         0.006833713
## 67       back         0.007940447
## 68       back         0.006264501
## 69       back         0.005309735
## 70       back         0.006787330
## 71       back         0.008542714
## 72        mid         0.012218650
## 73        mid         0.008196721
## 74        mid         0.008808290
## 75        mid         0.010787172
## 76      front         0.008222812
## 77      front         0.012380952
## 78      front         0.006081081
## 79      front         0.007750000
## 80      front         0.009593023
## 81      front         0.004483431
## 82      front         0.008244681
## 83      front         0.007075472
## 84      front         0.007070707
## 85      front         0.009295775
## 86      front         0.007345972
## 87      front         0.009115282
## 88      front         0.004637097
## 89      front         0.005518764
## 90      front         0.007416268
## 91      front         0.005220884
## 92       back         0.006419753
## 93       back         0.008659218
## 94       back         0.023245614
## 95       back         0.008800000
## 96      front         0.009497207
## 97      front         0.008516484
## 98      front         0.009473684
## 99      front         0.012804878
## 100       mid         0.105102041
## 101       mid         0.064843750
## 102       mid         0.017777778
## 103       mid         0.024553571
## 104      back         0.062222222
## 105      back         0.137931034
## 106      back         0.038172043
## 107      back         0.031794872
## 108       mid         0.208823529
## 109       mid         0.048666667
## 110       mid         0.018631179
## 111     front         0.069166667
## 112     front         0.051724138
## 113     front         0.035638298
## 114     front         0.027649770
## 115     front         0.049668874
## 116     front         0.048965517
## 117     front         0.017328520
## 118     front         0.067460317
## 119       mid         0.053679654
## 120       mid         0.073300971
## 121       mid         0.039361702
## 122      back         0.039917695
## 123      back         0.033333333
## 124      back         0.042798354
## 125      back         0.034657040
## 126      back         0.029078014
## 127      back         0.028260870
## 128      back         0.063228700
## 129      back         0.055508475
## 130       mid         0.062441315
## 131       mid         0.057487923
## 132       mid         0.055263158
## 133       mid         0.032179931
## 134     front         0.042424242
## 135     front         0.041224490
## 136     front         0.048760331
## 137     front         0.038745387
## 138     front         0.037401575
## 139     front         0.040740741
## 140     front         0.068137255
## 141     front         0.000000000
## 142     front         0.051674641
## 143     front         0.033712121
## 144     front         0.044855967
## 145     front         0.041101695
## 146     front         0.036121673
## 147     front         0.060576923
## 148     front         0.050207469
## 149     front         0.062616822
## 150      back         0.048309179
## 151      back         0.049327354
## 152      back         0.067149758
## 153     front         0.087244898
## 154     front         0.040659341
## 155       mid         0.137096774
## 156       mid         0.284090909
## 157       mid         0.185483871
## 158       mid         0.159420290
## 159      back                  NA
## 160      back         0.077319588
## 161      back         0.075568182
## 162      back                  NA
## 163       mid         0.137593985
## 164       mid                  NA
## 165       mid         0.164233577
## 166       mid         0.185600000
## 167     front                  NA
## 168     front         0.171304348
## 169     front         0.150354610
## 170     front         0.122000000
## 171     front         0.209821429
## 172     front         0.141958042
## 173     front         0.189075630
## 174     front         0.201834862
## 175       mid         0.018108108
## 176       mid         0.024489796
## 177       mid         0.015839243
## 178       mid         0.029585799
## 179      back         0.017021277
## 180      back         0.018617021
## 181      back         0.017587940
## 182      back         0.018518519
## 183      back         0.016755319
## 184      back         0.017528736
## 185      back         0.017171717
## 186      back         0.015158924
## 187       mid         0.015482234
## 188       mid         0.013054187
## 189       mid         0.013071895
## 190       mid         0.029260450
## 191     front         0.028145695
## 192     front         0.017994100
## 193     front         0.017401961
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## 195     front         0.023853211
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## 985       mid         0.069767442
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## 1180      mid         0.015517241
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## 1229    front         0.046703297
## 1230    front         0.048913043
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levels(yng$vowel)
##  [1] "a"         "A"         "e"         "E"         "i"         "I"        
##  [7] "low_o"     "o"         "ou"        "round_e"   "schwa"     "u"        
## [13] "unround_o" "y"         "Y"
is.integer(yng$Duration)
## [1] TRUE
result_duration <- data.frame(vowel = character(),
                        mean = numeric(),
                        sd = numeric(),
                        stringsAsFactors = FALSE)

for (vowel in levels(yng$vowel)){
  dt.duration <- yng[yng$vowel == vowel,"Duration"]
  vowel_mean <- round(mean(dt.duration))
  vowel_sd <- round(sd(dt.duration))
  
  new_row <- data.frame(vowel = vowel,
                        mean = vowel_mean,
                        sd = vowel_sd,
                        stringsAsFactors = FALSE)
  
  # Append the new row to the result data frame
  result_duration <- rbind(result_duration, new_row)
}
print(result_duration)
##        vowel mean sd
## 1          a  348 75
## 2          A  144 45
## 3          e  354 72
## 4          E  349 68
## 5          i  353 78
## 6          I  146 45
## 7      low_o  364 68
## 8          o  146 48
## 9         ou  355 69
## 10   round_e  346 64
## 11     schwa  142 54
## 12         u  332 74
## 13 unround_o  354 65
## 14         y  344 63
## 15         Y  145 45
for (vowel in levels(yng$vowel)){
  dt.F1midpoint <- yng[yng$vowel == vowel,"F1_midpoint"]
  vowel_mean <- round(mean(dt.duration))
  vowel_sd <- round(sd(dt.duration))
  
  new_row <- data.frame(vowel = vowel,
                        mean = vowel_mean,
                        sd = vowel_sd,
                        stringsAsFactors = FALSE)
  
  # Append the new row to the result data frame
  result_duration <- rbind(result_duration, new_row)
}
print(result_duration)
##        vowel mean sd
## 1          a  348 75
## 2          A  144 45
## 3          e  354 72
## 4          E  349 68
## 5          i  353 78
## 6          I  146 45
## 7      low_o  364 68
## 8          o  146 48
## 9         ou  355 69
## 10   round_e  346 64
## 11     schwa  142 54
## 12         u  332 74
## 13 unround_o  354 65
## 14         y  344 63
## 15         Y  145 45
## 16         a  145 45
## 17         A  145 45
## 18         e  145 45
## 19         E  145 45
## 20         i  145 45
## 21         I  145 45
## 22     low_o  145 45
## 23         o  145 45
## 24        ou  145 45
## 25   round_e  145 45
## 26     schwa  145 45
## 27         u  145 45
## 28 unround_o  145 45
## 29         y  145 45
## 30         Y  145 45
result_formant <- data.frame(vowel = character(),
                        mean.female_f1_50 = numeric(), mean.female_f2_50 = numeric(),
                        mean.female_f1_75 = numeric(), mean.female_f2_75 = numeric(),
                        mean.male_f1_50 = numeric(), mean.male_f2_50 = numeric(),
                        mean.male_f1_75 = numeric(), mean.male_f2_75 = numeric(),
                        sd.female_f1_50 = numeric(), sd.female_f2_50 = numeric(),
                        sd.female_f1_75 = numeric(), sd.female_f2_75 = numeric(),
                        sd.male_f1_50 = numeric(), sd.male_f2_50 = numeric(),
                        sd.male_f1_75 = numeric(), sd.male_f2_75 = numeric(),
                        stringsAsFactors = FALSE)

for (vowel in levels(yng$vowel)){
  dt.male_f1_50 <- yng[yng$vowel == vowel & yng$gender == "male","F1_midpoint"]
  dt.male_f2_50 <- yng[yng$vowel == vowel & yng$gender == "male","F2_midpoint"]
  dt.male_f1_75 <- yng[yng$vowel == vowel & yng$gender == "male","F1_0.75point"]
  dt.male_f2_75 <- yng[yng$vowel == vowel & yng$gender == "male","F2_0.75point"]
  dt.female_f1_50 <- yng[yng$vowel == vowel & yng$gender == "female","F1_midpoint"]
  dt.female_f2_50 <- yng[yng$vowel == vowel & yng$gender == "female","F2_midpoint"]
  dt.female_f1_75 <- yng[yng$vowel == vowel & yng$gender == "female","F1_0.75point"]
  dt.female_f2_75 <- yng[yng$vowel == vowel & yng$gender == "female","F2_0.75point"]
  male_f1_50_mean <- round(mean(dt.male_f1_50))
  male_f1.50_sd <- round(sd(dt.male_f1_50))
  male_f2_50_mean <- round(mean(dt.male_f2_50))
  male_f2.50_sd <- round(sd(dt.male_f2_50))
  male_f1_75_mean <- round(mean(dt.male_f1_75))
  male_f1.75_sd <- round(sd(dt.male_f1_75))
  male_f2_75_mean <- round(mean(dt.male_f2_75))
  male_f2.75_sd <- round(sd(dt.male_f2_75))
  female_f1_50_mean <- round(mean(dt.female_f1_50))
  female_f1.50_sd <- round(sd(dt.female_f1_50))
  female_f2_50_mean <- round(mean(dt.female_f2_50))
  female_f2.50_sd <- round(sd(dt.female_f2_50))
  female_f1_75_mean <- round(mean(dt.female_f1_75))
  female_f1.75_sd <- round(sd(dt.female_f1_75))
  female_f2_75_mean <- round(mean(dt.female_f2_75))
  female_f2.75_sd <- round(sd(dt.female_f2_75))
  
  new_row <- data.frame(vowel = vowel,
                        mean.female_f1_50 = female_f1_50_mean, mean.female_f2_50 = female_f2_50_mean,
                        mean.female_f1_75 = female_f1_75_mean, mean.female_f2_75 = female_f2_75_mean,
                        mean.male_f1_50 = male_f1_50_mean, mean.male_f2_50 = male_f2_50_mean,
                        mean.male_f1_75 = male_f1_75_mean, mean.male_f2_75 = male_f2_75_mean,
                        sd.female_f1_50 = female_f1.50_sd, sd.female_f2_50 = female_f2.50_sd,
                        sd.female_f1_75 = female_f1.75_sd, sd.female_f2_75 = female_f2.75_sd,
                        sd.male_f1_50 = male_f1.50_sd, sd.male_f2_50 = male_f2.50_sd,
                        sd.male_f1_75 = male_f1.75_sd, sd.male_f2_75 = male_f2.75_sd,
                        stringsAsFactors = FALSE)
  
  # Append the new row to the result data frame
  result_formant <- rbind(result_formant, new_row)
}
print(result_formant)
##        vowel mean.female_f1_50 mean.female_f2_50 mean.female_f1_75
## 1          a              1012              1475               959
## 2          A               841              1524               860
## 3          e               482              2344               458
## 4          E               557              2274               573
## 5          i               354              2575               366
## 6          I               583              2303               626
## 7      low_o               567               853               580
## 8          o               626              1008               668
## 9         ou               415               720               446
## 10   round_e               411              1856               432
## 11     schwa               773              1572               770
## 12         u               394               834               402
## 13 unround_o               487              1338               460
## 14         y               378              2174               395
## 15         Y               611              1734               666
##    mean.female_f2_75 mean.male_f1_50 mean.male_f2_50 mean.male_f1_75
## 1               1441             901            1305             859
## 2               1523             787            1409             780
## 3               2477             418            2132             365
## 4               2251             485            2030             507
## 5               2579             273            2321             284
## 6               2119             464            2027             537
## 7                886             496             775             521
## 8               1054             514             862             537
## 9                742             358             691             347
## 10              1891             336            1625             343
## 11              1550             706            1383             715
## 12               811             343             796             331
## 13              1300             433            1337             384
## 14              2122             300            1893             307
## 15              1712             512            1592             560
##    mean.male_f2_75 sd.female_f1_50 sd.female_f2_50 sd.female_f1_75
## 1             1287             131             180             143
## 2             1402             115             235             189
## 3             2212              54             322              70
## 4             2016              58             295              75
## 5             2330              70             425              75
## 6             1936              77             180              99
## 7              806              83              88              85
## 8              899              83              89             101
## 9              708              78             113              86
## 10            1633              42             215              52
## 11            1375             144             193             126
## 12             787              68             198              81
## 13            1260              47             194              55
## 14            1832              65             225              69
## 15            1586              95             199             107
##    sd.female_f2_75 sd.male_f1_50 sd.male_f2_50 sd.male_f1_75 sd.male_f2_75
## 1              174           146           170           205           169
## 2              230           116           146           155           162
## 3              401            84           161            85           240
## 4              251           111           148           112           150
## 5              424            45           297            51           298
## 6              242            86           185           114           214
## 7              116            80            91            90            74
## 8              109           111           115           145           109
## 9              137            57           112            65           105
## 10             256            44           139            45           162
## 11             163           136           150           161           168
## 12             184            63           146            71           164
## 13             214            99           133            56           115
## 14             204            57           129            55           131
## 15             189            94           223           111           210
library(lmerTest)
## Loading required package: lme4
## Loading required package: Matrix
## 
## Attaching package: 'lmerTest'
## The following object is masked from 'package:lme4':
## 
##     lmer
## The following object is masked from 'package:stats':
## 
##     step
contrast.syllable <- cbind(c(-0.5,+0.5))
colnames(contrast.syllable) <- c("-closed+open")
contrasts(yng$syllable) <- contrast.syllable
contrasts(yng$syllable)
##        -closed+open
## closed         -0.5
## open            0.5
contrast.gender <- cbind(c(+0.5,-0.5))
colnames(contrast.gender) <- c("+f-m")
contrasts(yng$gender) <- contrast.gender
contrasts(yng$gender)
##        +f-m
## female  0.5
## male   -0.5
contrast.register <- cbind(c(-0.5,+0.5))
colnames(contrast.register) <- c("-h+l")
contrasts(yng$register) <- contrast.register
contrasts(yng$register)
##      -h+l
## high -0.5
## low   0.5
contrast.highness <- cbind(c(1/3,1/3,-2/3), c(-0.5,0.5,0)) #high,low,mid
colnames(contrast.highness) <- c("+HL-M","-H+L")
contrasts(yng$highness) <- contrast.highness
contrasts(yng$highness)
##           +HL-M -H+L
## high  0.3333333 -0.5
## low   0.3333333  0.5
## mid  -0.6666667  0.0
contrast.backness <- cbind(c(1/3,1/3,-2/3), c(-0.5,0.5,0)) #back,front,mid
colnames(contrast.backness) <- c("+BF-M","-B+F")
contrasts(yng$backness) <- contrast.backness
contrasts(yng$backness)
##            +BF-M -B+F
## back   0.3333333 -0.5
## front  0.3333333  0.5
## mid   -0.6666667  0.0
duration.mdl <- lmerTest::lmer(Duration ~ syllable * gender * register + (syllable * register|participant), data = yng)
## boundary (singular) fit: see help('isSingular')
summary(duration.mdl)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: Duration ~ syllable * gender * register + (syllable * register |  
##     participant)
##    Data: yng
## 
## REML criterion at convergence: 12957.4
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.9718 -0.5968 -0.0425  0.5419  4.6690 
## 
## Random effects:
##  Groups      Name                              Variance Std.Dev. Corr       
##  participant (Intercept)                        988.0   31.43               
##              syllable-closed+open              2525.9   50.26     0.52      
##              register-h+l                       444.9   21.09     0.59  0.23
##              syllable-closed+open:register-h+l  273.0   16.52    -0.16 -0.03
##  Residual                                      1947.4   44.13               
##       
##       
##       
##       
##   0.69
##       
## Number of obs: 1234, groups:  participant, 23
## 
## Fixed effects:
##                                              Estimate Std. Error      df
## (Intercept)                                   246.746      6.701  21.039
## syllable-closed+open                          202.750     10.837  21.134
## gender+f-m                                     20.927     13.402  21.039
## register-h+l                                   20.969      5.178  21.443
## syllable-closed+open:gender+f-m                 2.701     21.674  21.134
## syllable-closed+open:register-h+l             -36.685      6.431  33.375
## gender+f-m:register-h+l                       -10.041     10.356  21.443
## syllable-closed+open:gender+f-m:register-h+l   -7.675     12.863  33.375
##                                              t value Pr(>|t|)    
## (Intercept)                                   36.823  < 2e-16 ***
## syllable-closed+open                          18.709 1.24e-14 ***
## gender+f-m                                     1.562 0.133315    
## register-h+l                                   4.050 0.000558 ***
## syllable-closed+open:gender+f-m                0.125 0.901999    
## syllable-closed+open:register-h+l             -5.704 2.22e-06 ***
## gender+f-m:register-h+l                       -0.970 0.343081    
## syllable-closed+open:gender+f-m:register-h+l  -0.597 0.554751    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) syll-+ gndr+- rgst-+ sy-+:+- s-+:-+ g+-:-+
## syllbl-cls+  0.476                                           
## gender+f-m  -0.042 -0.022                                    
## registr-h+l  0.497  0.181 -0.016                             
## syllbl-+:+- -0.022 -0.041  0.476 -0.013                      
## syllbl-+:-+ -0.092 -0.002 -0.002  0.158  0.011               
## gndr+f-m:-+ -0.016 -0.013  0.497 -0.031  0.181  -0.018       
## syl-+:+-:-+ -0.002  0.011 -0.092 -0.018 -0.002  -0.015  0.158
## optimizer (nloptwrap) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
duration.mdl <- lmerTest::lmer(Duration ~ syllable * gender * register + (syllable + register|participant), data = yng)
summary(duration.mdl)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: Duration ~ syllable * gender * register + (syllable + register |  
##     participant)
##    Data: yng
## 
## REML criterion at convergence: 12963.7
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.0185 -0.5747 -0.0411  0.5259  4.6285 
## 
## Random effects:
##  Groups      Name                 Variance Std.Dev. Corr     
##  participant (Intercept)           983.2   31.36             
##              syllable-closed+open 2507.4   50.07    0.53     
##              register-h+l          546.2   23.37    0.52 0.19
##  Residual                         1962.1   44.30             
## Number of obs: 1234, groups:  participant, 23
## 
## Fixed effects:
##                                              Estimate Std. Error       df
## (Intercept)                                   246.788      6.686   21.044
## syllable-closed+open                          202.642     10.803   21.151
## gender+f-m                                     21.055     13.373   21.044
## register-h+l                                   20.923      5.595   22.400
## syllable-closed+open:gender+f-m                 2.450     21.606   21.151
## syllable-closed+open:register-h+l             -36.810      5.441 1167.715
## gender+f-m:register-h+l                        -9.806     11.191   22.400
## syllable-closed+open:gender+f-m:register-h+l   -7.836     10.883 1167.715
##                                              t value Pr(>|t|)    
## (Intercept)                                   36.909  < 2e-16 ***
## syllable-closed+open                          18.758 1.16e-14 ***
## gender+f-m                                     1.574  0.13030    
## register-h+l                                   3.739  0.00111 ** 
## syllable-closed+open:gender+f-m                0.113  0.91077    
## syllable-closed+open:register-h+l             -6.765 2.11e-11 ***
## gender+f-m:register-h+l                       -0.876  0.39019    
## syllable-closed+open:gender+f-m:register-h+l  -0.720  0.47166    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) syll-+ gndr+- rgst-+ sy-+:+- s-+:-+ g+-:-+
## syllbl-cls+  0.483                                           
## gender+f-m  -0.042 -0.022                                    
## registr-h+l  0.450  0.152 -0.014                             
## syllbl-+:+- -0.022 -0.041  0.483 -0.011                      
## syllbl-+:-+ -0.010  0.018 -0.007 -0.176  0.012               
## gndr+f-m:-+ -0.014 -0.011  0.450 -0.032  0.152  -0.005       
## syl-+:+-:-+ -0.007  0.012 -0.010 -0.005  0.018  -0.005 -0.176
library(emmeans)
summary(pairs(emmeans(duration.mdl, ~ syllable | gender | register), adjust = "bonferroni"))
## gender = female, register = high:
##  contrast      estimate   SE   df t.ratio p.value
##  closed - open     -224 15.3 23.3 -14.624  <.0001
## 
## gender = male, register = high:
##  contrast      estimate   SE   df t.ratio p.value
##  closed - open     -218 16.0 23.4 -13.586  <.0001
## 
## gender = female, register = low:
##  contrast      estimate   SE   df t.ratio p.value
##  closed - open     -184 15.6 24.7 -11.793  <.0001
## 
## gender = male, register = low:
##  contrast      estimate   SE   df t.ratio p.value
##  closed - open     -185 16.1 23.7 -11.503  <.0001
## 
## Degrees-of-freedom method: kenward-roger
summary(pairs(emmeans(duration.mdl, ~ register | syllable), adjust = "bonferroni"))
## NOTE: Results may be misleading due to involvement in interactions
## syllable = closed:
##  contrast   estimate   SE   df t.ratio p.value
##  high - low   -39.33 6.64 44.0  -5.921  <.0001
## 
## syllable = open:
##  contrast   estimate   SE   df t.ratio p.value
##  high - low    -2.52 5.78 25.3  -0.436  0.6667
## 
## Results are averaged over the levels of: gender 
## Degrees-of-freedom method: kenward-roger
summary(pairs(emmeans(duration.mdl, ~ syllable | register), adjust = "bonferroni"))
## NOTE: Results may be misleading due to involvement in interactions
## register = high:
##  contrast      estimate   SE   df t.ratio p.value
##  closed - open     -221 11.1 23.4 -19.926  <.0001
## 
## register = low:
##  contrast      estimate   SE   df t.ratio p.value
##  closed - open     -184 11.2 24.1 -16.467  <.0001
## 
## Results are averaged over the levels of: gender 
## Degrees-of-freedom method: kenward-roger
library(viridis)
## Loading required package: viridisLite
library(ggplot2)
library(hrbrthemes)
## NOTE: Either Arial Narrow or Roboto Condensed fonts are required to use these themes.
##       Please use hrbrthemes::import_roboto_condensed() to install Roboto Condensed and
##       if Arial Narrow is not on your system, please see https://bit.ly/arialnarrow
library(extrafont)
## Registering fonts with R
loadfonts(device = "win")
## Warning in loadfonts_win(quiet = quiet): OS is not Windows. No fonts registered
## with windowsFonts().
ggplot(yng, aes(x=factor(vowel, levels = c("i","I","y","Y","e","round_e", "E","schwa", "A", "u", "ou", "o","unround_o","low_o","a"), labels = c("i","ɪʔ","y","ʏʔ","e","ø", "ɛ","əʔ", "Aʔ", "u", "o", "oʔ","ɤ","ɔ","ɑ")), y=Duration, fill=vowel)) +
    geom_violin() +
    scale_fill_viridis(discrete = TRUE, alpha=0.6, option="A") +
    theme_ipsum() +
    theme(
      legend.position = "none",
      plot.title = element_text(family="serif", face="bold", size=12), 
      axis.title.x  = element_text(family = "serif"),
      axis.title.y  = element_text(family = "serif"),
      axis.text.x   = element_text(family = "serif"),
      axis.text.y   = element_text(family = "serif")
    ) +
    ggtitle("Violin chart of the distribution of vowel duration") +
    xlab("")

ggplot(yng, aes(x=factor(vowel, levels = c("i","I","y","Y","e","round_e", "E","schwa", "A", "u", "ou", "o","unround_o","low_o","a"), labels = c("i","ɪʔ","y","ʏʔ","e","ø", "ɛ","əʔ", "Aʔ", "u", "o", "oʔ","ɤ","ɔ","ɑ")), y=Duration, fill=register)) +
    ylab("duration (ms)") +
    geom_boxplot() +
    scale_fill_viridis(discrete = TRUE, alpha=0.5, option="G") +
    theme_ipsum() +
    theme(
      legend.position = "bottom",
      #plot.title = element_text(family="Times", face="bold", size=12), 
      axis.title.x  = element_text(family = "serif"),
      axis.title.y  = element_text(family = "serif", face="bold", size = 12),
      axis.text.x   = element_text(family = "serif", size = 12),
      axis.text.y   = element_text(family = "serif", size = 12),
      legend.title  = element_text(family = "serif", face="bold", size = 12),
      legend.text = element_text(family = "serif", face="bold", size = 12)
    ) +
    ggtitle("Boxplot of the distribution of vowel duration") +
    xlab("")

ggplot(yng, aes(x=factor(vowel, levels = c("i","I","y","Y","e","round_e", "E","schwa", "A", "u", "ou", "o","unround_o","low_o","a"), labels = c("i","ɪʔ","y","ʏʔ","e","ø", "ɛ","əʔ", "Aʔ", "u", "o", "oʔ","ɤ","ɔ","ɑ")), y=Duration, fill=vowel)) +
    xlab("") + ylab("duration (ms)") + 
    ggtitle("Boxplot of the distribution of vowel duration") +
    geom_boxplot() +
    scale_fill_viridis(discrete = TRUE, alpha=0.7, option="D") +
    theme_ipsum() +
    theme(
      legend.position = "none",
      #plot.title = element_text(family="Times", face="bold", size=12), 
      axis.title.x  = element_text(family = "serif"),
      axis.title.y  = element_text(family = "serif", face="bold", size = 12),
      axis.text.x   = element_text(family = "serif", size = 12),
      axis.text.y   = element_text(family = "serif", size = 12)
    ) 

library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
means <- yng %>%
    group_by(vowel) %>%
    summarise(mean_F1 = mean(F1_midpoint),
              mean_F2 = mean(F2_midpoint))
  
ggplot(yng, aes(x = F2_midpoint, y = F1_midpoint
, color = vowel, label = factor(vowel, levels = c("i","I","y","Y","e","round_e", "E","schwa", "A", "u", "ou", "o","unround_o","low_o","a"), labels = c("i","ɪʔ","y","ʏʔ","e","ø", "ɛ","əʔ", "Aʔ", "u", "o", "oʔ","ɤ","ɔ","ɑ")))) + 
    geom_point(alpha = 0.1) + 
    stat_ellipse(level = 0.68) +
    geom_text(data = means, aes(x = mean_F2, y = mean_F1, family="serif", fontface="bold"), size=12) + 
    scale_x_reverse(limits = c(3000, 500)) + scale_y_reverse(limits = c(1200, 200)) + 
    scale_color_discrete() +
    guides(color = FALSE) + 
    theme_classic() +
    theme(
    axis.title.x  = element_text(family = "serif", size = 12),
    axis.title.y  = element_text(family = "serif", size = 12),
    axis.text.x   = element_text(family = "serif", size = 12),
    axis.text.y   = element_text(family = "serif", size = 12),
    legend.title  = element_text(family = "serif", face="bold", size = 12))
## Warning: The `<scale>` argument of `guides()` cannot be `FALSE`. Use "none" instead as
## of ggplot2 3.3.4.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.
## Warning: Removed 20 rows containing non-finite values (`stat_ellipse()`).
## Warning: Removed 20 rows containing missing values (`geom_point()`).

means75 <- yng %>%
    group_by(vowel) %>%
    summarise(mean_F175 = mean(F1_0.75point),
              mean_F275 = mean(F2_0.75point))
ggplot(yng, aes(x = F2_0.75point, y = F1_0.75point
, color = vowel, label = factor(vowel, levels = c("i","I","y","Y","e","round_e", "E","schwa", "A", "u", "ou", "o","unround_o","low_o","a"), labels = c("i","ɪʔ","y","ʏʔ","e","ø", "ɛ","əʔ", "Aʔ", "u", "o", "oʔ","ɤ","ɔ","ɑ")))) + 
    geom_point(alpha = 0.1) + 
    stat_ellipse(level = 0.68) + 
    geom_text(data = means75, aes(x = mean_F275, y = mean_F175, family="serif", fontface="bold"), size=12) + 
    scale_x_reverse(limits = c(3000, 500)) + scale_y_reverse(limits = c(1200, 200)) + 
    scale_color_discrete() +
    guides(color = FALSE) + 
    theme_classic() +
    theme(
    axis.title.x  = element_text(family = "serif", size = 12),
    axis.title.y  = element_text(family = "serif", size = 12),
    axis.text.x   = element_text(family = "serif", size = 12),
    axis.text.y   = element_text(family = "serif", size = 12),
    legend.title  = element_text(family = "serif", face="bold", size = 12))
## Warning: Removed 23 rows containing non-finite values (`stat_ellipse()`).
## Warning: Removed 23 rows containing missing values (`geom_point()`).

library(dplyr)
library(ggpubr)
means50 <- yng %>%
    group_by(vowel) %>%
    summarise(mean_F150 = mean(F1_midpoint),
              mean_F250 = mean(F2_midpoint))
means75 <- yng %>%
    group_by(vowel) %>%
    summarise(mean_F175 = mean(F1_0.75point),
              mean_F275 = mean(F2_0.75point))


open_mid <- ggplot(yng[yng$syllable == "open",], aes(x = F2_midpoint, y = F1_midpoint
, color = vowel, label = factor(vowel, levels = c("i","y","e","round_e", "E", "u", "ou", "unround_o","low_o","a"), labels = c("i","y","e","ø", "ɛ", "u", "o", "ɤ","ɔ","ɑ")))) + 
    #xlab("F2 at the midpoint (Hz)") +
    ylab("Open-ended vowels \n F1 (Hz)") +
    ggtitle("Vowel space at the midpoint") +
    geom_point(size = 0.95, alpha = 0.2) + 
    stat_ellipse(level = 0.68) + 
    geom_text(data = means50, aes(x = mean_F250, y = mean_F150, family="serif", 
                                #fontface="bold"
                                ), size = 10) + 
    scale_x_reverse(limits = c(3000, 500)) + scale_y_reverse(limits = c(1200, 200)) + 
    scale_color_discrete() +
    guides(color = FALSE) + 
    theme_classic() +
    theme(
    plot.title    = element_text(family = "serif", size = 14, hjust = 0.5),
    axis.title.x  = element_text(family = "serif", size = 12),
    axis.title.y  = element_text(family = "serif", size = 12),
    axis.text.x   = element_text(family = "serif", size = 12),
    axis.text.y   = element_text(family = "serif", size = 12),
    legend.title  = element_text(family = "serif", face="bold", size = 12))

open_upper <- ggplot(yng[yng$syllable == "open",], aes(x = F2_0.75point, y = F1_0.75point
, color = vowel, label = factor(vowel, levels = c("i","y","e","round_e", "E", "u", "ou", "unround_o","low_o","a"), labels = c("i","y","e","ø", "ɛ", "u", "o", "ɤ","ɔ","ɑ")))) + 
    #xlab("F2 at the upper quartile (Hz)") +
    #ylab("Open-ended vowels \n F1 (Hz)") +
    ggtitle("Vowel space at the upper quartile") +
    geom_point(size = 0.95, alpha = 0.2) + 
    stat_ellipse(level = 0.68) + 
    geom_text(data = means75, aes(x = mean_F275, y = mean_F175,  family="serif", 
                                  #fontface="bold"
                                  ), size = 10) + 
    scale_x_reverse(limits = c(3000, 500)) + scale_y_reverse(limits = c(1200, 200)) + 
    scale_color_discrete() +
    guides(color = FALSE) + 
    theme_classic() +
    theme(
    plot.title    = element_text(family = "serif", size = 14, hjust = 0.5),
    axis.title.x  = element_text(family = "serif", size = 12),
    axis.title.y  = element_text(family = "serif", size = 12),
    axis.text.x   = element_text(family = "serif", size = 12),
    axis.text.y   = element_text(family = "serif", size = 12),
    legend.title  = element_text(family = "serif", face="bold", size = 12))

closed_mid <- ggplot(yng[yng$syllable == "closed",], aes(x = F2_midpoint, y = F1_midpoint
, color = vowel, label = factor(vowel, levels = c("I","Y","schwa","A", "o"), labels = c("ɪ","ʏ","ə", "A", "o")))) + 
    xlab("F2 (Hz)") +
    ylab("Glottal-ended vowels \n F1 (Hz)") +
    #ggtitle("Vowel space at the midpoint of glottal-ended vowels") +
    geom_point(size = 0.95, alpha = 0.2) + 
    stat_ellipse(level = 0.68) + 
    geom_text(data = means50, aes(x = mean_F250, y = mean_F150, family="serif", 
                                #fontface="bold"
                                ), size = 10) + 
    scale_x_reverse(limits = c(3000, 500)) + scale_y_reverse(limits = c(1200, 200)) + 
    scale_color_discrete() +
    guides(color = FALSE) + 
    theme_classic() +
    theme(
    plot.title    = element_text(family = "serif", size = 14, hjust = 0.5),
    axis.title.x  = element_text(family = "serif", size = 12),
    axis.title.y  = element_text(family = "serif", size = 12),
    axis.text.x   = element_text(family = "serif", size = 12),
    axis.text.y   = element_text(family = "serif", size = 12),
    legend.title  = element_text(family = "serif", face="bold", size = 12))

closed_upper <- ggplot(yng[yng$syllable == "closed",], aes(x = F2_0.75point, y = F1_0.75point
, color = vowel, label = factor(vowel, levels = c("I","Y","schwa","A", "o"), labels = c("ɪ","ʏ","ə", "A", "o")))) + 
    xlab("F2 (Hz)") +
    #ylab("F1 at the upper quartile (Hz)") +
    #ggtitle("Vowel space at the upper quartile of glottal-ended vowels") +
    geom_point(size = 0.95, alpha = 0.2) + 
    stat_ellipse(level = 0.68) + 
    geom_text(data = means75, aes(x = mean_F275, y = mean_F175,  family="serif", 
                                  #fontface="bold"
                                  ), size = 10) + 
    scale_x_reverse(limits = c(3000, 500)) + scale_y_reverse(limits = c(1200, 200)) + 
    scale_color_discrete() +
    guides(color = FALSE) + 
    theme_classic() +
    theme(
    plot.title    = element_text(family = "serif", size = 14, hjust = 0.5),
    axis.title.x  = element_text(family = "serif", size = 12),
    axis.title.y  = element_text(family = "serif", size = 12),
    axis.text.x   = element_text(family = "serif", size = 12),
    axis.text.y   = element_text(family = "serif", size = 12),
    legend.title  = element_text(family = "serif", face="bold", size = 12))

ggarrange(open_mid + rremove("x.title"), open_upper + rremove("x.title") +rremove("y.title") , closed_mid, closed_upper+rremove("y.title") ,
          ncol = 2, nrow = 2)
## Warning: Removed 19 rows containing non-finite values (`stat_ellipse()`).
## Warning: Removed 19 rows containing missing values (`geom_point()`).
## Warning: Removed 5 rows containing missing values (`geom_text()`).
## Warning: Removed 18 rows containing non-finite values (`stat_ellipse()`).
## Warning: Removed 18 rows containing missing values (`geom_point()`).
## Warning: Removed 5 rows containing missing values (`geom_text()`).
## Warning: Removed 1 rows containing non-finite values (`stat_ellipse()`).
## Warning: Removed 1 rows containing missing values (`geom_point()`).
## Warning: Removed 10 rows containing missing values (`geom_text()`).
## Warning: Removed 5 rows containing non-finite values (`stat_ellipse()`).
## Warning: Removed 5 rows containing missing values (`geom_point()`).
## Warning: Removed 10 rows containing missing values (`geom_text()`).

ggplot(yng[yng$syllable == "open",], aes(x = log(F2_midpoint), y = log(F1_midpoint)
, color = vowel, label = factor(vowel, levels = c("i","y","e","round_e", "E", "u", "ou", "unround_o","low_o","a"), labels = c("i","y","e","ø", "ɛ", "u", "o", "ɤ","ɔ","ɑ")))) + 
    xlab("F2 at the midpoint (Hz)") +
    ylab("F1 at the midpoint (Hz)") +
    geom_point(alpha = 0.1) + 
    stat_ellipse(level = 0.68) + 
    geom_text(data = means, aes(x = log(mean_F2), y = log(mean_F1), family="serif", fontface="bold"), size=12) + 
    scale_x_reverse(limits = c(log(3000), log(500))) + scale_y_reverse(limits = c(log(1200), log(200))) + 
    scale_color_discrete() +
    guides(color = FALSE) + 
    theme(
    axis.title.x  = element_text(family = "serif", size = 12),
    axis.title.y  = element_text(family = "serif", size = 12),
    axis.text.x   = element_text(family = "serif", size = 12),
    axis.text.y   = element_text(family = "serif", size = 12),
    legend.title  = element_text(family = "serif", face="bold", size = 12))+
    theme_classic()
## Warning: Removed 19 rows containing non-finite values (`stat_ellipse()`).
## Warning: Removed 19 rows containing missing values (`geom_point()`).
## Warning: Removed 5 rows containing missing values (`geom_text()`).

F1mid.mdl <- lmerTest::lmer(F1_midpoint ~ syllable * gender * register * highness + (syllable + register|participant), data = yng)
summary(F1mid.mdl)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: F1_midpoint ~ syllable * gender * register * highness + (syllable +  
##     register | participant)
##    Data: yng
## 
## REML criterion at convergence: 14377.3
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.6354 -0.6713 -0.0054  0.6203  6.0036 
## 
## Random effects:
##  Groups      Name                 Variance Std.Dev. Corr       
##  participant (Intercept)          1695.2   41.17               
##              syllable-closed+open 2603.4   51.02    -0.58      
##              register-h+l          324.6   18.02    -0.16 -0.47
##  Residual                         7321.2   85.56               
## Number of obs: 1234, groups:  participant, 23
## 
## Fixed effects:
##                                                            Estimate Std. Error
## (Intercept)                                                 647.138      9.166
## syllable-closed+open                                       -109.937     12.410
## gender+f-m                                                   76.548     18.333
## register-h+l                                                 12.583      7.399
## highness+HL-M                                                62.532      6.834
## highness-H+L                                                432.757      7.656
## syllable-closed+open:gender+f-m                              11.187     24.821
## syllable-closed+open:register-h+l                            -4.638     12.721
## gender+f-m:register-h+l                                     -13.918     14.797
## syllable-closed+open:highness+HL-M                          250.745     13.668
## syllable-closed+open:highness-H+L                           344.287     15.310
## gender+f-m:highness+HL-M                                     18.775     13.668
## gender+f-m:highness-H+L                                      -9.170     15.312
## register-h+l:highness+HL-M                                  -10.303     13.672
## register-h+l:highness-H+L                                     6.387     15.318
## syllable-closed+open:gender+f-m:register-h+l                 22.197     25.441
## syllable-closed+open:gender+f-m:highness+HL-M                 3.885     27.336
## syllable-closed+open:gender+f-m:highness-H+L                108.357     30.620
## syllable-closed+open:register-h+l:highness+HL-M              57.292     27.337
## syllable-closed+open:register-h+l:highness-H+L               95.393     30.637
## gender+f-m:register-h+l:highness+HL-M                        16.988     27.345
## gender+f-m:register-h+l:highness-H+L                         -2.951     30.636
## syllable-closed+open:gender+f-m:register-h+l:highness+HL-M    4.933     54.673
## syllable-closed+open:gender+f-m:register-h+l:highness-H+L    91.579     61.274
##                                                                  df t value
## (Intercept)                                                  22.867  70.600
## syllable-closed+open                                         24.889  -8.858
## gender+f-m                                                   22.867   4.176
## register-h+l                                                 41.673   1.701
## highness+HL-M                                              1153.819   9.150
## highness-H+L                                               1155.245  56.526
## syllable-closed+open:gender+f-m                              24.889   0.451
## syllable-closed+open:register-h+l                          1155.221  -0.365
## gender+f-m:register-h+l                                      41.673  -0.941
## syllable-closed+open:highness+HL-M                         1153.359  18.346
## syllable-closed+open:highness-H+L                          1152.381  22.488
## gender+f-m:highness+HL-M                                   1153.819   1.374
## gender+f-m:highness-H+L                                    1155.245  -0.599
## register-h+l:highness+HL-M                                 1154.495  -0.754
## register-h+l:highness-H+L                                  1152.438   0.417
## syllable-closed+open:gender+f-m:register-h+l               1155.221   0.872
## syllable-closed+open:gender+f-m:highness+HL-M              1153.359   0.142
## syllable-closed+open:gender+f-m:highness-H+L               1152.381   3.539
## syllable-closed+open:register-h+l:highness+HL-M            1152.297   2.096
## syllable-closed+open:register-h+l:highness-H+L             1154.494   3.114
## gender+f-m:register-h+l:highness+HL-M                      1154.495   0.621
## gender+f-m:register-h+l:highness-H+L                       1152.438  -0.096
## syllable-closed+open:gender+f-m:register-h+l:highness+HL-M 1152.297   0.090
## syllable-closed+open:gender+f-m:register-h+l:highness-H+L  1154.494   1.495
##                                                            Pr(>|t|)    
## (Intercept)                                                 < 2e-16 ***
## syllable-closed+open                                       3.63e-09 ***
## gender+f-m                                                 0.000367 ***
## register-h+l                                               0.096458 .  
## highness+HL-M                                               < 2e-16 ***
## highness-H+L                                                < 2e-16 ***
## syllable-closed+open:gender+f-m                            0.656102    
## syllable-closed+open:register-h+l                          0.715498    
## gender+f-m:register-h+l                                    0.352345    
## syllable-closed+open:highness+HL-M                          < 2e-16 ***
## syllable-closed+open:highness-H+L                           < 2e-16 ***
## gender+f-m:highness+HL-M                                   0.169811    
## gender+f-m:highness-H+L                                    0.549385    
## register-h+l:highness+HL-M                                 0.451269    
## register-h+l:highness-H+L                                  0.676805    
## syllable-closed+open:gender+f-m:register-h+l               0.383131    
## syllable-closed+open:gender+f-m:highness+HL-M              0.887004    
## syllable-closed+open:gender+f-m:highness-H+L               0.000418 ***
## syllable-closed+open:register-h+l:highness+HL-M            0.036317 *  
## syllable-closed+open:register-h+l:highness-H+L             0.001893 ** 
## gender+f-m:register-h+l:highness+HL-M                      0.534553    
## gender+f-m:register-h+l:highness-H+L                       0.923274    
## syllable-closed+open:gender+f-m:register-h+l:highness+HL-M 0.928126    
## syllable-closed+open:gender+f-m:register-h+l:highness-H+L  0.135293    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation matrix not shown by default, as p = 24 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
summary(pairs(emmeans(F1mid.mdl, ~ register | highness | syllable), adjust = "bonferroni"))
## NOTE: Results may be misleading due to involvement in interactions
## highness = high, syllable = closed:
##  contrast   estimate    SE    df t.ratio p.value
##  high - low   -22.57 11.55 226.5  -1.955  0.0518
## 
## highness = low, syllable = closed:
##  contrast   estimate    SE    df t.ratio p.value
##  high - low    18.74 20.04 850.6   0.935  0.3501
## 
## highness = mid, syllable = closed:
##  contrast   estimate    SE    df t.ratio p.value
##  high - low   -40.87 21.44 935.1  -1.906  0.0569
## 
## highness = high, syllable = open:
##  contrast   estimate    SE    df t.ratio p.value
##  high - low    10.66 10.35 148.9   1.031  0.3044
## 
## highness = low, syllable = open:
##  contrast   estimate    SE    df t.ratio p.value
##  high - low   -43.42 18.89 800.3  -2.299  0.0218
## 
## highness = mid, syllable = open:
##  contrast   estimate    SE    df t.ratio p.value
##  high - low     1.96  9.08  94.7   0.216  0.8292
## 
## Results are averaged over the levels of: gender 
## Degrees-of-freedom method: kenward-roger
summary(pairs(emmeans(F1mid.mdl, ~ highness | gender | syllable), adjust = "bonferroni"))
## NOTE: Results may be misleading due to involvement in interactions
## gender = female, syllable = closed:
##  contrast   estimate    SE   df t.ratio p.value
##  high - low   -228.9 15.94 1155 -14.366  <.0001
##  high - mid   -168.9 17.09 1154  -9.883  <.0001
##  low - mid      60.0 20.75 1156   2.894  0.0116
## 
## gender = male, syllable = closed:
##  contrast   estimate    SE   df t.ratio p.value
##  high - low   -292.3 15.81 1153 -18.487  <.0001
##  high - mid   -217.4 16.45 1152 -13.217  <.0001
##  low - mid      74.9 20.01 1151   3.742  0.0006
## 
## gender = female, syllable = open:
##  contrast   estimate    SE   df t.ratio p.value
##  high - low   -627.4 14.47 1153 -43.346  <.0001
##  high - mid   -115.4  8.93 1160 -12.922  <.0001
##  low - mid     512.0 14.00 1151  36.579  <.0001
## 
## gender = male, syllable = open:
##  contrast   estimate    SE   df t.ratio p.value
##  high - low   -582.4 15.00 1152 -38.814  <.0001
##  high - mid   -113.7  9.03 1151 -12.579  <.0001
##  low - mid     468.7 14.64 1150  32.017  <.0001
## 
## Results are averaged over the levels of: register 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: bonferroni method for 3 tests
lowplot <- ggplot(yng[yng$highness == "low", ], aes(x=gender, labels = gender, y=F1_midpoint, fill=syllable)) +
    geom_boxplot() +
    scale_fill_viridis(discrete = TRUE, alpha=0.5, option="C") +
    theme_classic() + scale_y_reverse(limits = c(1200, 200)) +
    theme(
      legend.position = "bottom",
      axis.title.x  = element_text(family = "serif", face="bold", size = 12),
      axis.title.y  = element_text(family = "serif", face="bold", size = 12),
      axis.text.x   = element_text(family = "serif", size = 12),
      axis.text.y   = element_text(family = "serif", size = 12),
      legend.title  = element_text(family = "serif", face="bold", size = 12),
      legend.text = element_text(family = "serif", face="bold", size = 12)
    ) +
    xlab("low vowels") +
    ylab("F1 at the midpoint (Hz)")

midplot <- ggplot(yng[yng$highness == "mid", ], aes(x=gender, labels = gender, y=F1_midpoint, fill=syllable)) +
    geom_boxplot() +
    scale_fill_viridis(discrete = TRUE, alpha=0.5, option="C") +
    theme_classic() + scale_y_reverse(limits = c(1200, 200)) +
    theme(
      legend.position = "bottom",
      #plot.title = element_text(family="Times", face="bold", size=12), 
      axis.title.x  = element_text(family = "serif", face="bold", size = 12),
      axis.title.y  = element_text(family = "serif", face="bold", size = 12),
      axis.text.x   = element_text(family = "serif", size = 12),
      axis.text.y   = element_text(family = "serif", size = 12),
      legend.title  = element_text(family = "serif", face="bold", size = 12),
      legend.text = element_text(family = "serif", face="bold", size = 12)
    ) +
    xlab("mid vowels")

highplot <- ggplot(yng[yng$highness == "high", ], aes(x=gender, labels = gender, y=F1_midpoint, fill=syllable)) +
    geom_boxplot() +
    scale_fill_viridis(discrete = TRUE, alpha=0.5, option="C") +
    theme_classic() + scale_y_reverse(limits = c(1200, 200)) +
    theme(
      legend.position = "bottom",
      axis.title.x  = element_text(family = "serif", face="bold", size = 12),
      axis.title.y  = element_text(family = "serif", face="bold", size = 12),
      axis.text.x   = element_text(family = "serif", size = 12),
      axis.text.y   = element_text(family = "serif", size = 12),
      legend.title  = element_text(family = "serif", face="bold", size = 12),
      legend.text = element_text(family = "serif", face="bold", size = 12)
    ) +
    xlab("high vowels")

ggarrange(lowplot, midplot + rremove("y.title") , highplot + rremove("y.title") ,
          ncol = 3, nrow = 1)
## Warning: Removed 4 rows containing non-finite values (`stat_boxplot()`).
## Warning: Removed 3 rows containing non-finite values (`stat_boxplot()`).
## Warning: Removed 5 rows containing non-finite values (`stat_boxplot()`).

F1upper.mdl <- lmerTest::lmer(F1_0.75point ~ syllable * gender * register * highness + (syllable |participant), data = yng)
summary(F1upper.mdl)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: F1_0.75point ~ syllable * gender * register * highness + (syllable |  
##     participant)
##    Data: yng
## 
## REML criterion at convergence: 14741.3
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.8622 -0.6070 -0.0513  0.5999  5.5176 
## 
## Random effects:
##  Groups      Name                 Variance Std.Dev. Corr 
##  participant (Intercept)          2714     52.10         
##              syllable-closed+open 3677     60.64    -0.71
##  Residual                         9950     99.75         
## Number of obs: 1234, groups:  participant, 23
## 
## Fixed effects:
##                                                            Estimate Std. Error
## (Intercept)                                                 648.656     11.491
## syllable-closed+open                                       -143.881     14.674
## gender+f-m                                                   80.116     22.982
## register-h+l                                                 17.454      7.415
## highness+HL-M                                                66.305      7.963
## highness-H+L                                                382.935      8.920
## syllable-closed+open:gender+f-m                              13.123     29.347
## syllable-closed+open:register-h+l                             9.492     14.825
## gender+f-m:register-h+l                                     -38.515     14.830
## syllable-closed+open:highness+HL-M                          210.611     15.924
## syllable-closed+open:highness-H+L                           331.691     17.842
## gender+f-m:highness+HL-M                                     29.942     15.927
## gender+f-m:highness-H+L                                     -13.548     17.840
## register-h+l:highness+HL-M                                   -6.272     15.928
## register-h+l:highness-H+L                                    -5.048     17.853
## syllable-closed+open:gender+f-m:register-h+l                 11.576     29.650
## syllable-closed+open:gender+f-m:highness+HL-M               -30.619     31.848
## syllable-closed+open:gender+f-m:highness-H+L                 56.113     35.685
## syllable-closed+open:register-h+l:highness+HL-M              66.013     31.857
## syllable-closed+open:register-h+l:highness-H+L              142.090     35.699
## gender+f-m:register-h+l:highness+HL-M                       -18.809     31.856
## gender+f-m:register-h+l:highness-H+L                        -95.874     35.706
## syllable-closed+open:gender+f-m:register-h+l:highness+HL-M  -41.678     63.713
## syllable-closed+open:gender+f-m:register-h+l:highness-H+L    25.743     71.399
##                                                                  df t value
## (Intercept)                                                  22.624  56.450
## syllable-closed+open                                         25.093  -9.805
## gender+f-m                                                   22.624   3.486
## register-h+l                                               1171.665   2.354
## highness+HL-M                                              1170.488   8.326
## highness-H+L                                               1170.571  42.930
## syllable-closed+open:gender+f-m                              25.093   0.447
## syllable-closed+open:register-h+l                          1172.848   0.640
## gender+f-m:register-h+l                                    1171.665  -2.597
## syllable-closed+open:highness+HL-M                         1171.086  13.226
## syllable-closed+open:highness-H+L                          1170.027  18.590
## gender+f-m:highness+HL-M                                   1170.488   1.880
## gender+f-m:highness-H+L                                    1170.571  -0.759
## register-h+l:highness+HL-M                                 1170.588  -0.394
## register-h+l:highness-H+L                                  1170.893  -0.283
## syllable-closed+open:gender+f-m:register-h+l               1172.848   0.390
## syllable-closed+open:gender+f-m:highness+HL-M              1171.086  -0.961
## syllable-closed+open:gender+f-m:highness-H+L               1170.027   1.572
## syllable-closed+open:register-h+l:highness+HL-M            1170.591   2.072
## syllable-closed+open:register-h+l:highness-H+L             1171.574   3.980
## gender+f-m:register-h+l:highness+HL-M                      1170.588  -0.590
## gender+f-m:register-h+l:highness-H+L                       1170.893  -2.685
## syllable-closed+open:gender+f-m:register-h+l:highness+HL-M 1170.591  -0.654
## syllable-closed+open:gender+f-m:register-h+l:highness-H+L  1171.574   0.361
##                                                            Pr(>|t|)    
## (Intercept)                                                 < 2e-16 ***
## syllable-closed+open                                       4.58e-10 ***
## gender+f-m                                                  0.00203 ** 
## register-h+l                                                0.01874 *  
## highness+HL-M                                              2.31e-16 ***
## highness-H+L                                                < 2e-16 ***
## syllable-closed+open:gender+f-m                             0.65859    
## syllable-closed+open:register-h+l                           0.52214    
## gender+f-m:register-h+l                                     0.00952 ** 
## syllable-closed+open:highness+HL-M                          < 2e-16 ***
## syllable-closed+open:highness-H+L                           < 2e-16 ***
## gender+f-m:highness+HL-M                                    0.06036 .  
## gender+f-m:highness-H+L                                     0.44776    
## register-h+l:highness+HL-M                                  0.69380    
## register-h+l:highness-H+L                                   0.77741    
## syllable-closed+open:gender+f-m:register-h+l                0.69629    
## syllable-closed+open:gender+f-m:highness+HL-M               0.33655    
## syllable-closed+open:gender+f-m:highness-H+L                0.11611    
## syllable-closed+open:register-h+l:highness+HL-M             0.03847 *  
## syllable-closed+open:register-h+l:highness-H+L             7.31e-05 ***
## gender+f-m:register-h+l:highness+HL-M                       0.55503    
## gender+f-m:register-h+l:highness-H+L                        0.00735 ** 
## syllable-closed+open:gender+f-m:register-h+l:highness+HL-M  0.51314    
## syllable-closed+open:gender+f-m:register-h+l:highness-H+L   0.71850    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation matrix not shown by default, as p = 24 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
summary(pairs(emmeans(F1upper.mdl, ~ syllable | register | highness), adjust = "bonferroni"))
## NOTE: Results may be misleading due to involvement in interactions
## register = high, highness = high:
##  contrast      estimate   SE    df t.ratio p.value
##  closed - open    219.7 17.3  47.7  12.707  <.0001
## 
## register = low, highness = high:
##  contrast      estimate   SE    df t.ratio p.value
##  closed - open    259.3 17.6  50.9  14.747  <.0001
## 
## register = high, highness = low:
##  contrast      estimate   SE    df t.ratio p.value
##  closed - open    -40.9 25.0 194.0  -1.633  0.1041
## 
## register = low, highness = low:
##  contrast      estimate   SE    df t.ratio p.value
##  closed - open   -143.4 26.1 224.0  -5.487  <.0001
## 
## register = high, highness = mid:
##  contrast      estimate   SE    df t.ratio p.value
##  closed - open    267.0 20.8  97.9  12.839  <.0001
## 
## register = low, highness = mid:
##  contrast      estimate   SE    df t.ratio p.value
##  closed - open    301.5 24.2 170.8  12.474  <.0001
## 
## Results are averaged over the levels of: gender 
## Degrees-of-freedom method: kenward-roger
summary(pairs(emmeans(F1upper.mdl, ~ register | highness | syllable), adjust = "bonferroni"))
## NOTE: Results may be misleading due to involvement in interactions
## highness = high, syllable = closed:
##  contrast   estimate    SE   df t.ratio p.value
##  high - low   -37.66 12.71 1171  -2.962  0.0031
## 
## highness = low, syllable = closed:
##  contrast   estimate    SE   df t.ratio p.value
##  high - low    38.43 22.90 1172   1.678  0.0936
## 
## highness = mid, syllable = closed:
##  contrast   estimate    SE   df t.ratio p.value
##  high - low   -38.89 24.58 1171  -1.582  0.1139
## 
## highness = high, syllable = open:
##  contrast   estimate    SE   df t.ratio p.value
##  high - low     1.89 11.20 1170   0.169  0.8662
## 
## highness = low, syllable = open:
##  contrast   estimate    SE   df t.ratio p.value
##  high - low   -64.11 21.57 1170  -2.972  0.0030
## 
## highness = mid, syllable = open:
##  contrast   estimate    SE   df t.ratio p.value
##  high - low    -4.38  9.63 1170  -0.454  0.6496
## 
## Results are averaged over the levels of: gender 
## Degrees-of-freedom method: kenward-roger
summary(pairs(emmeans(F1upper.mdl, ~ gender | register| highness ), adjust = "bonferroni"))
## NOTE: Results may be misleading due to involvement in interactions
## register = high, highness = high:
##  contrast      estimate   SE   df t.ratio p.value
##  female - male     95.3 24.7 30.1   3.853  0.0006
## 
## register = low, highness = high:
##  contrast      estimate   SE   df t.ratio p.value
##  female - male     98.4 24.9 31.1   3.947  0.0004
## 
## register = high, highness = low:
##  contrast      estimate   SE   df t.ratio p.value
##  female - male    129.7 30.7 70.2   4.229  0.0001
## 
## register = low, highness = low:
##  contrast      estimate   SE   df t.ratio p.value
##  female - male     37.0 31.6 78.5   1.171  0.2452
## 
## register = high, highness = mid:
##  contrast      estimate   SE   df t.ratio p.value
##  female - male     73.1 27.3 44.6   2.679  0.0103
## 
## register = low, highness = mid:
##  contrast      estimate   SE   df t.ratio p.value
##  female - male     47.2 30.0 64.1   1.575  0.1202
## 
## Results are averaged over the levels of: syllable 
## Degrees-of-freedom method: kenward-roger
F2mid.mdl <- lmerTest::lmer(F2_midpoint ~  gender * syllable * register * backness + (syllable|participant), data = yng)
summary(F2mid.mdl)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: F2_midpoint ~ gender * syllable * register * backness + (syllable |  
##     participant)
##    Data: yng
## 
## REML criterion at convergence: 16920.6
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.2307 -0.4939  0.0353  0.4931  4.0993 
## 
## Random effects:
##  Groups      Name                 Variance Std.Dev. Corr 
##  participant (Intercept)           6492     80.57        
##              syllable-closed+open  1247     35.31   -0.32
##  Residual                         62002    249.00        
## Number of obs: 1234, groups:  participant, 23
## 
## Fixed effects:
##                                                            Estimate Std. Error
## (Intercept)                                                1429.622     18.657
## gender+f-m                                                  153.397     37.315
## syllable-closed+open                                        -18.746     17.694
## register-h+l                                                  9.712     16.102
## backness+BF-M                                                18.181     17.106
## backness-B+F                                               1153.138     19.623
## gender+f-m:syllable-closed+open                             -38.223     35.388
## gender+f-m:register-h+l                                      -7.353     32.203
## syllable-closed+open:register-h+l                             2.970     32.168
## gender+f-m:backness+BF-M                                     48.357     34.211
## gender+f-m:backness-B+F                                     130.695     39.246
## syllable-closed+open:backness+BF-M                          136.029     34.208
## syllable-closed+open:backness-B+F                           369.004     39.246
## register-h+l:backness+BF-M                                   10.289     34.226
## register-h+l:backness-B+F                                   -41.752     39.220
## gender+f-m:syllable-closed+open:register-h+l                -29.176     64.336
## gender+f-m:syllable-closed+open:backness+BF-M                43.302     68.415
## gender+f-m:syllable-closed+open:backness-B+F                121.448     78.493
## gender+f-m:register-h+l:backness+BF-M                       -66.766     68.453
## gender+f-m:register-h+l:backness-B+F                        -25.497     78.441
## syllable-closed+open:register-h+l:backness+BF-M             -40.633     68.440
## syllable-closed+open:register-h+l:backness-B+F              -16.992     78.474
## gender+f-m:syllable-closed+open:register-h+l:backness+BF-M   49.203    136.881
## gender+f-m:syllable-closed+open:register-h+l:backness-B+F    12.552    156.949
##                                                                  df t value
## (Intercept)                                                  21.806  76.625
## gender+f-m                                                   21.806   4.111
## syllable-closed+open                                         24.513  -1.059
## register-h+l                                               1178.246   0.603
## backness+BF-M                                              1172.278   1.063
## backness-B+F                                               1177.375  58.764
## gender+f-m:syllable-closed+open                              24.513  -1.080
## gender+f-m:register-h+l                                    1178.246  -0.228
## syllable-closed+open:register-h+l                          1180.429   0.092
## gender+f-m:backness+BF-M                                   1172.278   1.413
## gender+f-m:backness-B+F                                    1177.375   3.330
## syllable-closed+open:backness+BF-M                         1172.471   3.977
## syllable-closed+open:backness-B+F                          1176.773   9.402
## register-h+l:backness+BF-M                                 1174.575   0.301
## register-h+l:backness-B+F                                  1175.631  -1.065
## gender+f-m:syllable-closed+open:register-h+l               1180.429  -0.453
## gender+f-m:syllable-closed+open:backness+BF-M              1172.471   0.633
## gender+f-m:syllable-closed+open:backness-B+F               1176.773   1.547
## gender+f-m:register-h+l:backness+BF-M                      1174.575  -0.975
## gender+f-m:register-h+l:backness-B+F                       1175.631  -0.325
## syllable-closed+open:register-h+l:backness+BF-M            1175.137  -0.594
## syllable-closed+open:register-h+l:backness-B+F             1173.959  -0.217
## gender+f-m:syllable-closed+open:register-h+l:backness+BF-M 1175.137   0.359
## gender+f-m:syllable-closed+open:register-h+l:backness-B+F  1173.959   0.080
##                                                            Pr(>|t|)    
## (Intercept)                                                 < 2e-16 ***
## gender+f-m                                                 0.000467 ***
## syllable-closed+open                                       0.299721    
## register-h+l                                               0.546495    
## backness+BF-M                                              0.288053    
## backness-B+F                                                < 2e-16 ***
## gender+f-m:syllable-closed+open                            0.290605    
## gender+f-m:register-h+l                                    0.819436    
## syllable-closed+open:register-h+l                          0.926460    
## gender+f-m:backness+BF-M                                   0.157782    
## gender+f-m:backness-B+F                                    0.000895 ***
## syllable-closed+open:backness+BF-M                         7.42e-05 ***
## syllable-closed+open:backness-B+F                           < 2e-16 ***
## register-h+l:backness+BF-M                                 0.763771    
## register-h+l:backness-B+F                                  0.287301    
## gender+f-m:syllable-closed+open:register-h+l               0.650283    
## gender+f-m:syllable-closed+open:backness+BF-M              0.526900    
## gender+f-m:syllable-closed+open:backness-B+F               0.122072    
## gender+f-m:register-h+l:backness+BF-M                      0.329585    
## gender+f-m:register-h+l:backness-B+F                       0.745203    
## syllable-closed+open:register-h+l:backness+BF-M            0.552828    
## syllable-closed+open:register-h+l:backness-B+F             0.828616    
## gender+f-m:syllable-closed+open:register-h+l:backness+BF-M 0.719317    
## gender+f-m:syllable-closed+open:register-h+l:backness-B+F  0.936271    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation matrix not shown by default, as p = 24 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
summary(pairs(emmeans(F2mid.mdl, ~ backness | syllable ), adjust = "bonferroni"))
## NOTE: Results may be misleading due to involvement in interactions
## syllable = closed:
##  contrast     estimate   SE   df t.ratio p.value
##  back - front     -969 33.7 1179 -28.705  <.0001
##  back - mid       -534 34.6 1176 -15.458  <.0001
##  front - mid       434 28.4 1175  15.288  <.0001
## 
## syllable = open:
##  contrast     estimate   SE   df t.ratio p.value
##  back - front    -1338 20.1 1171 -66.605  <.0001
##  back - mid       -583 24.6 1172 -23.644  <.0001
##  front - mid       755 22.4 1169  33.634  <.0001
## 
## Results are averaged over the levels of: gender, register 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: bonferroni method for 3 tests
summary(pairs(emmeans(F2mid.mdl, ~ syllable | backness ), adjust = "bonferroni"))
## NOTE: Results may be misleading due to involvement in interactions
## backness = back:
##  contrast      estimate   SE    df t.ratio p.value
##  closed - open      158 32.7 250.2   4.826  <.0001
## 
## backness = front:
##  contrast      estimate   SE    df t.ratio p.value
##  closed - open     -211 24.1  83.5  -8.760  <.0001
## 
## backness = mid:
##  contrast      estimate   SE    df t.ratio p.value
##  closed - open      109 29.0 166.3   3.771  0.0002
## 
## Results are averaged over the levels of: gender, register 
## Degrees-of-freedom method: kenward-roger
F2upper.mdl <- lmerTest::lmer(F2_0.75point ~  gender * syllable * register * backness + (syllable|participant), data = yng)
summary(F2upper.mdl)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: F2_0.75point ~ gender * syllable * register * backness + (syllable |  
##     participant)
##    Data: yng
## 
## REML criterion at convergence: 16946.5
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.4797 -0.5358  0.0095  0.5306  4.9307 
## 
## Random effects:
##  Groups      Name                 Variance Std.Dev. Corr 
##  participant (Intercept)           8049     89.72        
##              syllable-closed+open  2083     45.64   -0.40
##  Residual                         63075    251.15        
## Number of obs: 1234, groups:  participant, 23
## 
## Fixed effects:
##                                                            Estimate Std. Error
## (Intercept)                                                1419.672     20.423
## gender+f-m                                                  146.901     40.846
## syllable-closed+open                                         -8.997     18.823
## register-h+l                                                  6.697     16.246
## backness+BF-M                                                43.273     17.255
## backness-B+F                                               1095.156     19.798
## gender+f-m:syllable-closed+open                             -10.589     37.645
## gender+f-m:register-h+l                                      -8.668     32.492
## syllable-closed+open:register-h+l                            28.830     32.458
## gender+f-m:backness+BF-M                                     40.913     34.510
## gender+f-m:backness-B+F                                     107.697     39.595
## syllable-closed+open:backness+BF-M                          196.118     34.506
## syllable-closed+open:backness-B+F                           485.237     39.595
## register-h+l:backness+BF-M                                    4.102     34.528
## register-h+l:backness-B+F                                   -55.939     39.566
## gender+f-m:syllable-closed+open:register-h+l                 13.443     64.916
## gender+f-m:syllable-closed+open:backness+BF-M                48.408     69.013
## gender+f-m:syllable-closed+open:backness-B+F                200.506     79.190
## gender+f-m:register-h+l:backness+BF-M                         6.755     69.056
## gender+f-m:register-h+l:backness-B+F                        -42.543     79.133
## syllable-closed+open:register-h+l:backness+BF-M             -55.854     69.044
## syllable-closed+open:register-h+l:backness-B+F               63.425     79.165
## gender+f-m:syllable-closed+open:register-h+l:backness+BF-M   62.572    138.088
## gender+f-m:syllable-closed+open:register-h+l:backness-B+F    20.815    158.330
##                                                                  df t value
## (Intercept)                                                  21.625  69.513
## gender+f-m                                                   21.625   3.596
## syllable-closed+open                                         24.172  -0.478
## register-h+l                                               1177.166   0.412
## backness+BF-M                                              1171.871   2.508
## backness-B+F                                               1176.516  55.317
## gender+f-m:syllable-closed+open                              24.172  -0.281
## gender+f-m:register-h+l                                    1177.166  -0.267
## syllable-closed+open:register-h+l                          1179.485   0.888
## gender+f-m:backness+BF-M                                   1171.871   1.186
## gender+f-m:backness-B+F                                    1176.516   2.720
## syllable-closed+open:backness+BF-M                         1172.085   5.684
## syllable-closed+open:backness-B+F                          1176.002  12.255
## register-h+l:backness+BF-M                                 1173.905   0.119
## register-h+l:backness-B+F                                  1174.934  -1.414
## gender+f-m:syllable-closed+open:register-h+l               1179.485   0.207
## gender+f-m:syllable-closed+open:backness+BF-M              1172.085   0.701
## gender+f-m:syllable-closed+open:backness-B+F               1176.002   2.532
## gender+f-m:register-h+l:backness+BF-M                      1173.905   0.098
## gender+f-m:register-h+l:backness-B+F                       1174.934  -0.538
## syllable-closed+open:register-h+l:backness+BF-M            1174.464  -0.809
## syllable-closed+open:register-h+l:backness-B+F             1173.327   0.801
## gender+f-m:syllable-closed+open:register-h+l:backness+BF-M 1174.464   0.453
## gender+f-m:syllable-closed+open:register-h+l:backness-B+F  1173.327   0.131
##                                                            Pr(>|t|)    
## (Intercept)                                                 < 2e-16 ***
## gender+f-m                                                  0.00164 ** 
## syllable-closed+open                                        0.63696    
## register-h+l                                                0.68025    
## backness+BF-M                                               0.01228 *  
## backness-B+F                                                < 2e-16 ***
## gender+f-m:syllable-closed+open                             0.78088    
## gender+f-m:register-h+l                                     0.78969    
## syllable-closed+open:register-h+l                           0.37460    
## gender+f-m:backness+BF-M                                    0.23604    
## gender+f-m:backness-B+F                                     0.00663 ** 
## syllable-closed+open:backness+BF-M                         1.66e-08 ***
## syllable-closed+open:backness-B+F                           < 2e-16 ***
## register-h+l:backness+BF-M                                  0.90544    
## register-h+l:backness-B+F                                   0.15769    
## gender+f-m:syllable-closed+open:register-h+l                0.83598    
## gender+f-m:syllable-closed+open:backness+BF-M               0.48318    
## gender+f-m:syllable-closed+open:backness-B+F                0.01147 *  
## gender+f-m:register-h+l:backness+BF-M                       0.92209    
## gender+f-m:register-h+l:backness-B+F                        0.59095    
## syllable-closed+open:register-h+l:backness+BF-M             0.41870    
## syllable-closed+open:register-h+l:backness-B+F              0.42319    
## gender+f-m:syllable-closed+open:register-h+l:backness+BF-M  0.65054    
## gender+f-m:syllable-closed+open:register-h+l:backness-B+F   0.89543    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation matrix not shown by default, as p = 24 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
summary(pairs(emmeans(F2upper.mdl, ~ gender | backness | syllable ), adjust = "bonferroni"))
## NOTE: Results may be misleading due to involvement in interactions
## backness = back, syllable = closed:
##  contrast      estimate   SE   df t.ratio p.value
##  female - male    154.0 69.9 83.2   2.204  0.0303
## 
## backness = front, syllable = closed:
##  contrast      estimate   SE   df t.ratio p.value
##  female - male    161.5 57.6 39.0   2.806  0.0078
## 
## backness = mid, syllable = closed:
##  contrast      estimate   SE   df t.ratio p.value
##  female - male    141.1 59.6 44.6   2.367  0.0223
## 
## backness = back, syllable = open:
##  contrast      estimate   SE   df t.ratio p.value
##  female - male     59.3 47.4 45.8   1.253  0.2167
## 
## backness = front, syllable = open:
##  contrast      estimate   SE   df t.ratio p.value
##  female - male    267.3 42.7 30.4   6.266  <.0001
## 
## backness = mid, syllable = open:
##  contrast      estimate   SE   df t.ratio p.value
##  female - male     98.2 51.4 63.6   1.909  0.0608
## 
## Results are averaged over the levels of: register 
## Degrees-of-freedom method: kenward-roger
# t-test for F1
for (vowel in levels(yng$vowel)){
  t_test <- t.test(yng[yng$vowel == vowel,"F1_midpoint"], yng[yng$vowel == vowel,"F1_0.75point"],paired = TRUE)
  print(vowel)
  print(t_test) 
}
## [1] "a"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = 2.8846, df = 85, p-value = 0.004965
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  14.92226 81.12425
## sample estimates:
## mean difference 
##        48.02326 
## 
## [1] "A"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = -0.44354, df = 77, p-value = 0.6586
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -32.93645  20.93645
## sample estimates:
## mean difference 
##              -6 
## 
## [1] "e"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = 5.7602, df = 81, p-value = 1.459e-07
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  24.97783 51.33925
## sample estimates:
## mean difference 
##        38.15854 
## 
## [1] "E"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = -2.6713, df = 86, p-value = 0.009037
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -32.037005  -4.698627
## sample estimates:
## mean difference 
##       -18.36782 
## 
## [1] "i"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = -1.7087, df = 81, p-value = 0.09133
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -24.072512   1.828609
## sample estimates:
## mean difference 
##       -11.12195 
## 
## [1] "I"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = -6.812, df = 80, p-value = 1.627e-09
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -74.21047 -40.65373
## sample estimates:
## mean difference 
##        -57.4321 
## 
## [1] "low_o"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = -2.6576, df = 84, p-value = 0.009418
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -33.114088  -4.768265
## sample estimates:
## mean difference 
##       -18.94118 
## 
## [1] "o"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = -3.8145, df = 82, p-value = 0.0002635
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -49.78858 -15.65721
## sample estimates:
## mean difference 
##       -32.72289 
## 
## [1] "ou"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = -1.4064, df = 81, p-value = 0.1634
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -23.76454   4.08161
## sample estimates:
## mean difference 
##       -9.841463 
## 
## [1] "round_e"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = -3.2401, df = 86, p-value = 0.0017
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -22.571119  -5.405893
## sample estimates:
## mean difference 
##       -13.98851 
## 
## [1] "schwa"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = -0.31601, df = 70, p-value = 0.7529
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -22.96338  16.68169
## sample estimates:
## mean difference 
##       -3.140845 
## 
## [1] "u"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = 0.21302, df = 78, p-value = 0.8319
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -12.78287  15.84616
## sample estimates:
## mean difference 
##        1.531646 
## 
## [1] "unround_o"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = 4.7554, df = 89, p-value = 7.586e-06
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  21.53997 52.46003
## sample estimates:
## mean difference 
##              37 
## 
## [1] "y"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = -2.1631, df = 75, p-value = 0.03372
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -22.3184045  -0.9184376
## sample estimates:
## mean difference 
##       -11.61842 
## 
## [1] "Y"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F1_midpoint"] and yng[yng$vowel == vowel, "F1_0.75point"]
## t = -7.1445, df = 84, p-value = 3.031e-10
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -66.74451 -37.67902
## sample estimates:
## mean difference 
##       -52.21176
# t-test for F2
for (vowel in levels(yng$vowel)){
  t_test <- t.test(yng[yng$vowel == vowel,"F2_midpoint"], yng[yng$vowel == vowel,"F2_0.75point"],paired = TRUE)
  print(vowel)
  print(t_test) 
}
## [1] "a"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = 1.7296, df = 85, p-value = 0.08734
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -3.930798 56.488938
## sample estimates:
## mean difference 
##        26.27907 
## 
## [1] "A"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = 0.31822, df = 77, p-value = 0.7512
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -20.15359  27.82025
## sample estimates:
## mean difference 
##        3.833333 
## 
## [1] "e"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = -2.8162, df = 81, p-value = 0.006101
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -182.9500  -31.4646
## sample estimates:
## mean difference 
##       -107.2073 
## 
## [1] "E"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = 0.87961, df = 86, p-value = 0.3815
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -23.23057  60.10413
## sample estimates:
## mean difference 
##        18.43678 
## 
## [1] "i"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = -0.27496, df = 81, p-value = 0.784
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -57.95505  43.88187
## sample estimates:
## mean difference 
##       -7.036585 
## 
## [1] "I"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = 6.3765, df = 80, p-value = 1.088e-08
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##   95.76319 182.65657
## sample estimates:
## mean difference 
##        139.2099 
## 
## [1] "low_o"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = -3.5368, df = 84, p-value = 0.0006622
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -50.32312 -14.10041
## sample estimates:
## mean difference 
##       -32.21176 
## 
## [1] "o"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = -4.935, df = 82, p-value = 4.143e-06
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -58.40637 -24.84664
## sample estimates:
## mean difference 
##       -41.62651 
## 
## [1] "ou"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = -1.5019, df = 81, p-value = 0.137
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -45.474257   6.352305
## sample estimates:
## mean difference 
##       -19.56098 
## 
## [1] "round_e"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = -1.3057, df = 86, p-value = 0.1951
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -54.71306  11.33375
## sample estimates:
## mean difference 
##       -21.68966 
## 
## [1] "schwa"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = 0.92456, df = 70, p-value = 0.3584
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -16.90132  46.11259
## sample estimates:
## mean difference 
##        14.60563 
## 
## [1] "u"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = 0.83876, df = 78, p-value = 0.4042
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -21.99435  54.01966
## sample estimates:
## mean difference 
##        16.01266 
## 
## [1] "unround_o"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = 4.1772, df = 89, p-value = 6.872e-05
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  29.72951 83.67049
## sample estimates:
## mean difference 
##            56.7 
## 
## [1] "y"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = 3.9976, df = 75, p-value = 0.0001484
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  28.37774 84.75384
## sample estimates:
## mean difference 
##        56.56579 
## 
## [1] "Y"
## 
##  Paired t-test
## 
## data:  yng[yng$vowel == vowel, "F2_midpoint"] and yng[yng$vowel == vowel, "F2_0.75point"]
## t = 1.2471, df = 84, p-value = 0.2158
## alternative hypothesis: true mean difference is not equal to 0
## 95 percent confidence interval:
##  -8.463531 36.934119
## sample estimates:
## mean difference 
##        14.23529
breathy <- lmerTest::lmer(H1.H2 ~  gender * syllable * register + (syllable + register |participant), data = yng)
summary(breathy)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: H1.H2 ~ gender * syllable * register + (syllable + register |  
##     participant)
##    Data: yng
## 
## REML criterion at convergence: 8364.7
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.4610 -0.5101 -0.0552  0.4274  5.7931 
## 
## Random effects:
##  Groups      Name                 Variance Std.Dev. Corr       
##  participant (Intercept)          20.087   4.482               
##              syllable-closed+open  2.018   1.421     0.83      
##              register-h+l         12.218   3.495     0.09 -0.23
##  Residual                         51.655   7.187               
## Number of obs: 1221, groups:  participant, 23
## 
## Fixed effects:
##                                               Estimate Std. Error        df
## (Intercept)                                    -1.1321     0.9619   20.9291
## gender+f-m                                     -2.0778     1.9238   20.9291
## syllable-closed+open                            1.5509     0.5345   20.1932
## register-h+l                                   -0.1604     0.8560   23.2329
## gender+f-m:syllable-closed+open                 3.3615     1.0690   20.1932
## gender+f-m:register-h+l                         0.4075     1.7120   23.2329
## syllable-closed+open:register-h+l               0.6622     0.8886 1165.0705
## gender+f-m:syllable-closed+open:register-h+l    1.9660     1.7772 1165.0705
##                                              t value Pr(>|t|)   
## (Intercept)                                   -1.177  0.25242   
## gender+f-m                                    -1.080  0.29241   
## syllable-closed+open                           2.902  0.00876 **
## register-h+l                                  -0.187  0.85298   
## gender+f-m:syllable-closed+open                3.145  0.00506 **
## gender+f-m:register-h+l                        0.238  0.81397   
## syllable-closed+open:register-h+l              0.745  0.45628   
## gender+f-m:syllable-closed+open:register-h+l   1.106  0.26886   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##              (Intr) gndr+- syll-+ rgst-+ gndr+f-m:s-+ gndr+f-m:r-+ s-+:-+
## gender+f-m   -0.042                                                      
## syllbl-cls+   0.375 -0.019                                               
## registr-h+l   0.083  0.004 -0.129                                        
## gndr+f-m:s-+ -0.019  0.375 -0.025 -0.010                                 
## gndr+f-m:r-+  0.004  0.083 -0.010 -0.034 -0.129                          
## syllbl-+:-+  -0.011 -0.008  0.053 -0.191  0.035        0.002             
## gnd+-:-+:-+  -0.008 -0.011  0.035  0.002  0.053       -0.191       -0.019
creaky <- glmer(creakiness ~ gender * syllable * register + (register |participant) , data = yng ,family = "binomial")
summary(creaky)
## Generalized linear mixed model fit by maximum likelihood (Laplace
##   Approximation) [glmerMod]
##  Family: binomial  ( logit )
## Formula: creakiness ~ gender * syllable * register + (register | participant)
##    Data: yng
## 
##      AIC      BIC   logLik deviance df.resid 
##    898.0    954.3   -438.0    876.0     1223 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -0.8573 -0.3811 -0.2928 -0.2220  6.1207 
## 
## Random effects:
##  Groups      Name         Variance Std.Dev. Corr
##  participant (Intercept)  0.3242   0.5694       
##              register-h+l 0.2521   0.5021   0.52
## Number of obs: 1234, groups:  participant, 23
## 
## Fixed effects:
##                                              Estimate Std. Error z value
## (Intercept)                                   -2.3061     0.1735 -13.289
## gender+f-m                                    -0.2954     0.3326  -0.888
## syllable-closed+open                           0.6412     0.2252   2.848
## register-h+l                                   0.5743     0.2733   2.101
## gender+f-m:syllable-closed+open                0.8496     0.4501   1.888
## gender+f-m:register-h+l                       -0.8437     0.5024  -1.679
## syllable-closed+open:register-h+l              1.1231     0.4503   2.494
## gender+f-m:syllable-closed+open:register-h+l   0.7238     0.9003   0.804
##                                              Pr(>|z|)    
## (Intercept)                                    <2e-16 ***
## gender+f-m                                     0.3745    
## syllable-closed+open                           0.0044 ** 
## register-h+l                                   0.0356 *  
## gender+f-m:syllable-closed+open                0.0590 .  
## gender+f-m:register-h+l                        0.0931 .  
## syllable-closed+open:register-h+l              0.0126 *  
## gender+f-m:syllable-closed+open:register-h+l   0.4214    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##              (Intr) gndr+- syll-+ rgst-+ gndr+f-m:s-+ gndr+f-m:r-+ s-+:-+
## gender+f-m    0.059                                                      
## syllbl-cls+  -0.350 -0.167                                               
## registr-h+l   0.103  0.145 -0.165                                        
## gndr+f-m:s-+ -0.165 -0.362  0.189 -0.156                                 
## gndr+f-m:r-+  0.148  0.175 -0.170  0.133 -0.168                          
## syllbl-+:-+  -0.130 -0.130  0.018 -0.446  0.252       -0.219             
## gnd+-:-+:-+  -0.123 -0.129  0.253 -0.211  0.017       -0.478        0.189
summary(pairs(emmeans(creaky, ~ register | syllable ), adjust = "bonferroni"))
## NOTE: Results may be misleading due to involvement in interactions
## syllable = closed:
##  contrast   estimate    SE  df z.ratio p.value
##  high - low  -0.0127 0.425 Inf  -0.030  0.9761
## 
## syllable = open:
##  contrast   estimate    SE  df z.ratio p.value
##  high - low  -1.1358 0.266 Inf  -4.278  <.0001
## 
## Results are averaged over the levels of: gender 
## Results are given on the log odds ratio (not the response) scale.
F1a <- yng[,c("vowel","F1_midpoint")]
colnames(F1a) <- c("vowel","F1")
F1b <- yng[,c("vowel","F1_0.75point")]
colnames(F1b) <- c("vowel","F1")
overalF1 <- rbind(F1a,F1b)
F2a <- yng[,c("vowel","F2_midpoint","syllable")]
colnames(F2a) <- c("vowel","F2","syllable")
F2b <- yng[,c("vowel","F2_0.75point","syllable")]
colnames(F2b) <- c("vowel","F2","syllable")
overalF2 <- rbind(F2a,F2b)
overalF2 <- overalF2[, -1]
#merge two data frames by vowel
overal <- cbind(overalF1, overalF2)
means <- overal %>%
    group_by(vowel) %>%
    summarise(mean_F1 = mean(F1),
              mean_F2 = mean(F2))
ggplot(overal, aes(x = F2, y = F1, color = vowel, label = factor(vowel, levels = c("i","I","y","Y","e","round_e", "E","schwa", "A", "u", "ou", "o","unround_o","low_o","a"), labels = c("i","ɪʔ","y","ʏʔ","e","ø", "ɛ","əʔ", "ɐʔ", "ɯ", "u", "oʔ","ɤ","ɔ","ɑ")))) + 
    xlab("F2 (Hz)") +
    ylab("F1 (Hz)") +
    #ggtitle("Vowel space at the midpoint of glottal-ended vowels") +
    geom_point(size = 0.95, alpha = 0.15) + 
    stat_ellipse(level = 0.50, na.rm = TRUE, lwd = 1.0) + 
    geom_text(data = means, aes(x = mean_F2, y = mean_F1, family="serif"), size=9) +
    scale_x_reverse(limits = c(3000, 500)) + scale_y_reverse(limits = c(1200, 200)) +
    
    scale_color_manual(values=c("#21918c", "#443983", "#31688e", "#90d743","#fde725","#443983","#443983","#90d743", "#440154","#440154", "#fde725","#35b779","#31688e","#35b779", "#21918c"
                                 #"turquoise4","goldenrod","gold2","turquoise1","dodgerblue2", "darkorange","deepskyblue","royalblue","royalblue4"
                                 # "#fde725", "#31688e", "#90d743", "#443983", "#35b779", "#440154", "#21918c"
                                 )) +
    guides(color = FALSE) + 
    theme_classic() +
    theme(
    axis.title.x  = element_text(family = "serif", size = 12),
    axis.title.y  = element_text(family = "serif", size = 12),
    axis.text.x   = element_text(family = "serif", size = 12),
    axis.text.y   = element_text(family = "serif", size = 12),
    legend.title  = element_text(family = "serif", face="bold", size = 12))
## Warning: Removed 43 rows containing missing values (`geom_point()`).

ggplot(yng, aes(x=syllable, y=H1.H2, fill=register)) +
    ylab("H1-H2 difference (dB/Hz)") +
    geom_boxplot() +
    scale_fill_viridis(discrete = TRUE, alpha=0.5, option="G") +
    theme_ipsum() +
    theme(
      legend.position = "bottom",
      #plot.title = element_text(family="Times", face="bold", size=12), 
      axis.title.x  = element_text(family = "serif"),
      axis.title.y  = element_text(family = "serif", face="bold", size = 12),
      axis.text.x   = element_text(family = "serif", size = 12),
      axis.text.y   = element_text(family = "serif", size = 12),
      legend.title  = element_text(family = "serif", face="bold", size = 12),
      legend.text = element_text(family = "serif", face="bold", size = 12)
    ) +
    # ggtitle("Boxplot of the distribution of vowel duration") +
    xlab("")
## Warning: Removed 13 rows containing non-finite values (`stat_boxplot()`).

median(yng$spectrum_difference, na.rm = T)
## [1] 0.02038421
quantile(yng$spectrum_difference, na.rm = T)
##         0%        25%        50%        75%       100% 
## 0.00000000 0.01196686 0.02038421 0.05499226 0.45000000
upper.bound <- 0.05499226 + 1.5* (0.05499226 - 0.01196686)
lower.bound <- 0.01196686 - 1.5* (0.05499226 - 0.01196686)
quantile(yng$spectrum_difference, 0.95, na.rm = T)
##       95% 
## 0.1844872
ggplot(yng, aes(x=spectrum_difference, na.rm = T)) + 
    geom_histogram(aes(y=..density..),      # Histogram with density instead of count on y-axis
                   binwidth=.01,
                   colour="black", fill="white") +
    geom_density(alpha=.2, fill="#FF6666")  # Overlay with transparent density plot
## Warning: The dot-dot notation (`..density..`) was deprecated in ggplot2 3.4.0.
## ℹ Please use `after_stat(density)` instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.
## Warning: Removed 10 rows containing non-finite values (`stat_bin()`).
## Warning: Removed 10 rows containing non-finite values (`stat_density()`).

yng <- yng[yng$spectrum_difference < 0.15, ]
breathy2 <- lmerTest::lmer(H1.H2 ~  gender * syllable * register + (syllable + register |participant), data = yng)
summary(breathy2)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: H1.H2 ~ gender * syllable * register + (syllable + register |  
##     participant)
##    Data: yng
## 
## REML criterion at convergence: 7753.2
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.3830 -0.5180 -0.0649  0.4241  5.5141 
## 
## Random effects:
##  Groups      Name                 Variance Std.Dev. Corr       
##  participant (Intercept)          17.452   4.178               
##              syllable-closed+open  4.113   2.028     0.87      
##              register-h+l         11.513   3.393     0.07 -0.21
##  Residual                         53.183   7.293               
## Number of obs: 1127, groups:  participant, 23
## 
## Fixed effects:
##                                               Estimate Std. Error        df
## (Intercept)                                    -0.9467     0.9113   20.7568
## gender+f-m                                     -2.2802     1.8225   20.7568
## syllable-closed+open                            1.1800     0.6729   21.0835
## register-h+l                                   -0.3464     0.8837   26.4083
## gender+f-m:syllable-closed+open                 3.7119     1.3457   21.0835
## gender+f-m:register-h+l                         0.5672     1.7674   26.4083
## syllable-closed+open:register-h+l               1.0394     1.0434 1072.1079
## gender+f-m:syllable-closed+open:register-h+l    1.6411     2.0869 1072.1079
##                                              t value Pr(>|t|)  
## (Intercept)                                   -1.039   0.3108  
## gender+f-m                                    -1.251   0.2248  
## syllable-closed+open                           1.754   0.0940 .
## register-h+l                                  -0.392   0.6982  
## gender+f-m:syllable-closed+open                2.758   0.0118 *
## gender+f-m:register-h+l                        0.321   0.7508  
## syllable-closed+open:register-h+l              0.996   0.3194  
## gender+f-m:syllable-closed+open:register-h+l   0.786   0.4318  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##              (Intr) gndr+- syll-+ rgst-+ gndr+f-m:s-+ gndr+f-m:r-+ s-+:-+
## gender+f-m   -0.061                                                      
## syllbl-cls+   0.404  0.031                                               
## registr-h+l   0.053  0.013 -0.091                                        
## gndr+f-m:s-+  0.031  0.404 -0.165 -0.032                                 
## gndr+f-m:r-+  0.013  0.053 -0.032 -0.116 -0.091                          
## syllbl-+:-+   0.009 -0.024 -0.017 -0.316  0.071        0.141             
## gnd+-:-+:-+  -0.024  0.009  0.071  0.141 -0.017       -0.316       -0.244