Display data:

options (width=200)
my_data <- read.csv("anonymizedData.tsv", sep = "\t")
my_data
##     participant language.group tone.contrast.type coda.consonant  response correct
## 1            p1        English                 FF              k      Same       1
## 2            p1        English                 FH              k Different       1
## 3            p1        English                 FL              k Different       1
## 4            p1        English                 HF              k Different       1
## 5            p1        English                 HH              k      Same       1
## 6            p1        English                 HL              k Different       1
## 7            p1        English                 LF              k Different       1
## 8            p1        English                 LH              k Different       1
## 9            p1        English                 LL              k      Same       1
## 10           p1        English                 FF              p      Same       1
## 11           p1        English                 FH              p Different       1
## 12           p1        English                 FL              p Different       1
## 13           p1        English                 HF              p Different       1
## 14           p1        English                 HH              p      Same       1
## 15           p1        English                 HL              p Different       1
## 16           p1        English                 LF              p Different       1
## 17           p1        English                 LH              p Different       1
## 18           p1        English                 LL              p      Same       1
## 19           p1        English                 FF              t      Same       1
## 20           p1        English                 FH              t Different       1
## 21           p1        English                 FL              t Different       1
## 22           p1        English                 HF              t Different       1
## 23           p1        English                 HH              t      Same       1
## 24           p1        English                 HL              t Different       1
## 25           p1        English                 LF              t Different       1
## 26           p1        English                 LH              t Different       1
## 27           p1        English                 LL              t      Same       1
## 28           p2        English                 FF              k      Same       1
## 29           p2        English                 FH              k Different       1
## 30           p2        English                 FL              k Different       1
## 31           p2        English                 HF              k Different       1
## 32           p2        English                 HH              k      Same       1
## 33           p2        English                 HL              k Different       1
## 34           p2        English                 LF              k Different       1
## 35           p2        English                 LH              k Different       1
## 36           p2        English                 LL              k      Same       1
## 37           p2        English                 FF              p      Same       1
## 38           p2        English                 FH              p Different       1
## 39           p2        English                 FL              p Different       1
## 40           p2        English                 HF              p Different       1
## 41           p2        English                 HH              p      Same       1
## 42           p2        English                 HL              p Different       1
## 43           p2        English                 LF              p Different       1
## 44           p2        English                 LH              p Different       1
## 45           p2        English                 LL              p      Same       1
## 46           p2        English                 FF              t      Same       1
## 47           p2        English                 FH              t Different       1
## 48           p2        English                 FL              t Different       1
## 49           p2        English                 HF              t Different       1
## 50           p2        English                 HH              t      Same       1
## 51           p2        English                 HL              t Different       1
## 52           p2        English                 LF              t Different       1
## 53           p2        English                 LH              t Different       1
## 54           p2        English                 LL              t      Same       1
## 55           p3        English                 FF              k      Same       1
## 56           p3        English                 FH              k Different       1
## 57           p3        English                 FL              k Different       1
## 58           p3        English                 HF              k Different       1
## 59           p3        English                 HH              k      Same       1
## 60           p3        English                 HL              k      Same       0
## 61           p3        English                 LF              k Different       1
## 62           p3        English                 LH              k Different       1
## 63           p3        English                 LL              k      Same       1
## 64           p3        English                 FF              p      Same       1
## 65           p3        English                 FH              p Different       1
## 66           p3        English                 FL              p Different       1
## 67           p3        English                 HF              p Different       1
## 68           p3        English                 HH              p      Same       1
## 69           p3        English                 HL              p Different       1
## 70           p3        English                 LF              p Different       1
## 71           p3        English                 LH              p Different       1
## 72           p3        English                 LL              p      Same       1
## 73           p3        English                 FF              t      Same       1
## 74           p3        English                 FH              t Different       1
## 75           p3        English                 FL              t Different       1
## 76           p3        English                 HF              t Different       1
## 77           p3        English                 HH              t      Same       1
## 78           p3        English                 HL              t Different       1
## 79           p3        English                 LF              t Different       1
## 80           p3        English                 LH              t      Same       0
## 81           p3        English                 LL              t      Same       1
## 82           p4        English                 FF              k      Same       1
## 83           p4        English                 FH              k Different       1
## 84           p4        English                 FL              k Different       1
## 85           p4        English                 HF              k      Same       0
## 86           p4        English                 HH              k      Same       1
## 87           p4        English                 HL              k      Same       0
## 88           p4        English                 LF              k Different       1
## 89           p4        English                 LH              k      Same       0
## 90           p4        English                 LL              k      Same       1
## 91           p4        English                 FF              p      Same       1
## 92           p4        English                 FH              p Different       1
## 93           p4        English                 FL              p Different       1
## 94           p4        English                 HF              p Different       1
## 95           p4        English                 HH              p      Same       1
## 96           p4        English                 HL              p Different       1
## 97           p4        English                 LF              p      Same       0
## 98           p4        English                 LH              p Different       1
## 99           p4        English                 LL              p      Same       1
## 100          p4        English                 FF              t      Same       1
## 101          p4        English                 FH              t Different       1
## 102          p4        English                 FL              t Different       1
## 103          p4        English                 HF              t Different       1
## 104          p4        English                 HH              t      Same       1
## 105          p4        English                 HL              t Different       1
## 106          p4        English                 LF              t Different       1
## 107          p4        English                 LH              t Different       1
## 108          p4        English                 LL              t      Same       1
## 109          p5        English                 FF              k      Same       1
## 110          p5        English                 FH              k Different       1
## 111          p5        English                 FL              k Different       1
## 112          p5        English                 HF              k Different       1
## 113          p5        English                 HH              k Different       0
## 114          p5        English                 HL              k Different       1
## 115          p5        English                 LF              k Different       1
## 116          p5        English                 LH              k Different       1
## 117          p5        English                 LL              k Different       0
## 118          p5        English                 FF              p Different       0
## 119          p5        English                 FH              p Different       1
## 120          p5        English                 FL              p Different       1
## 121          p5        English                 HF              p Different       1
## 122          p5        English                 HH              p      Same       1
## 123          p5        English                 HL              p Different       1
## 124          p5        English                 LF              p Different       1
## 125          p5        English                 LH              p Different       1
## 126          p5        English                 LL              p      Same       1
## 127          p5        English                 FF              t      Same       1
## 128          p5        English                 FH              t      Same       0
## 129          p5        English                 FL              t Different       1
## 130          p5        English                 HF              t Different       1
## 131          p5        English                 HH              t      Same       1
## 132          p5        English                 HL              t Different       1
## 133          p5        English                 LF              t Different       1
## 134          p5        English                 LH              t Different       1
## 135          p5        English                 LL              t Different       0
## 136          p6        English                 FF              k Different       0
## 137          p6        English                 FH              k Different       1
## 138          p6        English                 FL              k Different       1
## 139          p6        English                 HF              k Different       1
## 140          p6        English                 HH              k      Same       1
## 141          p6        English                 HL              k Different       1
## 142          p6        English                 LF              k Different       1
## 143          p6        English                 LH              k Different       1
## 144          p6        English                 LL              k      Same       1
## 145          p6        English                 FF              p      Same       1
## 146          p6        English                 FH              p Different       1
## 147          p6        English                 FL              p Different       1
## 148          p6        English                 HF              p Different       1
## 149          p6        English                 HH              p Different       0
## 150          p6        English                 HL              p Different       1
## 151          p6        English                 LF              p Different       1
## 152          p6        English                 LH              p Different       1
## 153          p6        English                 LL              p      Same       1
## 154          p6        English                 FF              t      Same       1
## 155          p6        English                 FH              t Different       1
## 156          p6        English                 FL              t Different       1
## 157          p6        English                 HF              t Different       1
## 158          p6        English                 HH              t      Same       1
## 159          p6        English                 HL              t      Same       0
## 160          p6        English                 LF              t      Same       0
## 161          p6        English                 LH              t Different       1
## 162          p6        English                 LL              t      Same       1
## 163          p7        English                 FF              k      Same       1
## 164          p7        English                 FH              k Different       1
## 165          p7        English                 FL              k Different       1
## 166          p7        English                 HF              k Different       1
## 167          p7        English                 HH              k      Same       1
## 168          p7        English                 HL              k Different       1
## 169          p7        English                 LF              k Different       1
## 170          p7        English                 LH              k      Same       0
## 171          p7        English                 LL              k      Same       1
## 172          p7        English                 FF              p Different       0
## 173          p7        English                 FH              p Different       1
## 174          p7        English                 FL              p Different       1
## 175          p7        English                 HF              p Different       1
## 176          p7        English                 HH              p      Same       1
## 177          p7        English                 HL              p Different       1
## 178          p7        English                 LF              p Different       1
## 179          p7        English                 LH              p      Same       0
## 180          p7        English                 LL              p      Same       1
## 181          p7        English                 FF              t      Same       1
## 182          p7        English                 FH              t Different       1
## 183          p7        English                 FL              t Different       1
## 184          p7        English                 HF              t Different       1
## 185          p7        English                 HH              t      Same       1
## 186          p7        English                 HL              t Different       1
## 187          p7        English                 LF              t Different       1
## 188          p7        English                 LH              t Different       1
## 189          p7        English                 LL              t      Same       1
## 190          p8        English                 FF              k      Same       1
## 191          p8        English                 FH              k Different       1
## 192          p8        English                 FL              k Different       1
## 193          p8        English                 HF              k Different       1
## 194          p8        English                 HH              k      Same       1
## 195          p8        English                 HL              k      Same       0
## 196          p8        English                 LF              k Different       1
## 197          p8        English                 LH              k Different       1
## 198          p8        English                 LL              k      Same       1
## 199          p8        English                 FF              p      Same       1
## 200          p8        English                 FH              p Different       1
## 201          p8        English                 FL              p Different       1
## 202          p8        English                 HF              p Different       1
## 203          p8        English                 HH              p      Same       1
## 204          p8        English                 HL              p Different       1
## 205          p8        English                 LF              p Different       1
## 206          p8        English                 LH              p Different       1
## 207          p8        English                 LL              p      Same       1
## 208          p8        English                 FF              t      Same       1
## 209          p8        English                 FH              t Different       1
## 210          p8        English                 FL              t Different       1
## 211          p8        English                 HF              t Different       1
## 212          p8        English                 HH              t      Same       1
## 213          p8        English                 HL              t Different       1
## 214          p8        English                 LF              t      Same       0
## 215          p8        English                 LH              t Different       1
## 216          p8        English                 LL              t      Same       1
## 217          p9        English                 FF              k      Same       1
## 218          p9        English                 FH              k Different       1
## 219          p9        English                 FL              k Different       1
## 220          p9        English                 HF              k Different       1
## 221          p9        English                 HH              k      Same       1
## 222          p9        English                 HL              k Different       1
## 223          p9        English                 LF              k Different       1
## 224          p9        English                 LH              k Different       1
## 225          p9        English                 LL              k      Same       1
## 226          p9        English                 FF              p      Same       1
## 227          p9        English                 FH              p Different       1
## 228          p9        English                 FL              p Different       1
## 229          p9        English                 HF              p Different       1
## 230          p9        English                 HH              p      Same       1
## 231          p9        English                 HL              p Different       1
## 232          p9        English                 LF              p Different       1
## 233          p9        English                 LH              p Different       1
## 234          p9        English                 LL              p Different       0
## 235          p9        English                 FF              t      Same       1
## 236          p9        English                 FH              t Different       1
## 237          p9        English                 FL              t      Same       0
## 238          p9        English                 HF              t Different       1
## 239          p9        English                 HH              t      Same       1
## 240          p9        English                 HL              t Different       1
## 241          p9        English                 LF              t Different       1
## 242          p9        English                 LH              t Different       1
## 243          p9        English                 LL              t      Same       1
## 244         p10        English                 FF              k      Same       1
## 245         p10        English                 FH              k Different       1
## 246         p10        English                 FL              k Different       1
## 247         p10        English                 HF              k Different       1
## 248         p10        English                 HH              k      Same       1
## 249         p10        English                 HL              k Different       1
## 250         p10        English                 LF              k Different       1
## 251         p10        English                 LH              k Different       1
## 252         p10        English                 LL              k      Same       1
## 253         p10        English                 FF              p      Same       1
## 254         p10        English                 FH              p Different       1
## 255         p10        English                 FL              p Different       1
## 256         p10        English                 HF              p Different       1
## 257         p10        English                 HH              p      Same       1
## 258         p10        English                 HL              p Different       1
## 259         p10        English                 LF              p Different       1
## 260         p10        English                 LH              p Different       1
## 261         p10        English                 LL              p      Same       1
## 262         p10        English                 FF              t      Same       1
## 263         p10        English                 FH              t Different       1
## 264         p10        English                 FL              t Different       1
## 265         p10        English                 HF              t Different       1
## 266         p10        English                 HH              t      Same       1
## 267         p10        English                 HL              t Different       1
## 268         p10        English                 LF              t Different       1
## 269         p10        English                 LH              t Different       1
## 270         p10        English                 LL              t      Same       1
## 271         p11        English                 FF              k      Same       1
## 272         p11        English                 FH              k Different       1
## 273         p11        English                 FL              k Different       1
## 274         p11        English                 HF              k Different       1
## 275         p11        English                 HH              k      Same       1
## 276         p11        English                 HL              k Different       1
## 277         p11        English                 LF              k Different       1
## 278         p11        English                 LH              k Different       1
## 279         p11        English                 LL              k      Same       1
## 280         p11        English                 FF              p      Same       1
## 281         p11        English                 FH              p Different       1
## 282         p11        English                 FL              p Different       1
## 283         p11        English                 HF              p Different       1
## 284         p11        English                 HH              p      Same       1
## 285         p11        English                 HL              p Different       1
## 286         p11        English                 LF              p Different       1
## 287         p11        English                 LH              p Different       1
## 288         p11        English                 LL              p      Same       1
## 289         p11        English                 FF              t      Same       1
## 290         p11        English                 FH              t Different       1
## 291         p11        English                 FL              t Different       1
## 292         p11        English                 HF              t Different       1
## 293         p11        English                 HH              t      Same       1
## 294         p11        English                 HL              t Different       1
## 295         p11        English                 LF              t Different       1
## 296         p11        English                 LH              t Different       1
## 297         p11        English                 LL              t      Same       1
## 298         p12        English                 FF              k      Same       1
## 299         p12        English                 FH              k Different       1
## 300         p12        English                 FL              k Different       1
## 301         p12        English                 HF              k Different       1
## 302         p12        English                 HH              k      Same       1
## 303         p12        English                 HL              k Different       1
## 304         p12        English                 LF              k Different       1
## 305         p12        English                 LH              k Different       1
## 306         p12        English                 LL              k      Same       1
## 307         p12        English                 FF              p      Same       1
## 308         p12        English                 FH              p Different       1
## 309         p12        English                 FL              p Different       1
## 310         p12        English                 HF              p Different       1
## 311         p12        English                 HH              p      Same       1
## 312         p12        English                 HL              p Different       1
## 313         p12        English                 LF              p Different       1
## 314         p12        English                 LH              p Different       1
## 315         p12        English                 LL              p      Same       1
## 316         p12        English                 FF              t      Same       1
## 317         p12        English                 FH              t Different       1
## 318         p12        English                 FL              t Different       1
## 319         p12        English                 HF              t      Same       0
## 320         p12        English                 HH              t      Same       1
## 321         p12        English                 HL              t Different       1
## 322         p12        English                 LF              t Different       1
## 323         p12        English                 LH              t Different       1
## 324         p12        English                 LL              t      Same       1
## 325         p13       Mandarin                 FF              k      Same       1
## 326         p13       Mandarin                 FH              k Different       1
## 327         p13       Mandarin                 FL              k Different       1
## 328         p13       Mandarin                 HF              k Different       1
## 329         p13       Mandarin                 HH              k      Same       1
## 330         p13       Mandarin                 HL              k Different       1
## 331         p13       Mandarin                 LF              k Different       1
## 332         p13       Mandarin                 LH              k Different       1
## 333         p13       Mandarin                 LL              k      Same       1
## 334         p13       Mandarin                 FF              p      Same       1
## 335         p13       Mandarin                 FH              p Different       1
## 336         p13       Mandarin                 FL              p Different       1
## 337         p13       Mandarin                 HF              p Different       1
## 338         p13       Mandarin                 HH              p      Same       1
## 339         p13       Mandarin                 HL              p Different       1
## 340         p13       Mandarin                 LF              p Different       1
## 341         p13       Mandarin                 LH              p Different       1
## 342         p13       Mandarin                 LL              p      Same       1
## 343         p13       Mandarin                 FF              t      Same       1
## 344         p13       Mandarin                 FH              t Different       1
## 345         p13       Mandarin                 FL              t Different       1
## 346         p13       Mandarin                 HF              t Different       1
## 347         p13       Mandarin                 HH              t      Same       1
## 348         p13       Mandarin                 HL              t Different       1
## 349         p13       Mandarin                 LF              t Different       1
## 350         p13       Mandarin                 LH              t Different       1
## 351         p13       Mandarin                 LL              t      Same       1
## 352         p14       Mandarin                 FF              k      Same       1
## 353         p14       Mandarin                 FH              k Different       1
## 354         p14       Mandarin                 FL              k Different       1
## 355         p14       Mandarin                 HF              k Different       1
## 356         p14       Mandarin                 HH              k      Same       1
## 357         p14       Mandarin                 HL              k Different       1
## 358         p14       Mandarin                 LF              k Different       1
## 359         p14       Mandarin                 LH              k Different       1
## 360         p14       Mandarin                 LL              k      Same       1
## 361         p14       Mandarin                 FF              p      Same       1
## 362         p14       Mandarin                 FH              p Different       1
## 363         p14       Mandarin                 FL              p Different       1
## 364         p14       Mandarin                 HF              p Different       1
## 365         p14       Mandarin                 HH              p      Same       1
## 366         p14       Mandarin                 HL              p Different       1
## 367         p14       Mandarin                 LF              p Different       1
## 368         p14       Mandarin                 LH              p Different       1
## 369         p14       Mandarin                 LL              p      Same       1
## 370         p14       Mandarin                 FF              t      Same       1
## 371         p14       Mandarin                 FH              t Different       1
## 372         p14       Mandarin                 FL              t Different       1
## 373         p14       Mandarin                 HF              t Different       1
## 374         p14       Mandarin                 HH              t      Same       1
## 375         p14       Mandarin                 HL              t Different       1
## 376         p14       Mandarin                 LF              t Different       1
## 377         p14       Mandarin                 LH              t Different       1
## 378         p14       Mandarin                 LL              t      Same       1
## 379         p15       Mandarin                 FF              k      Same       1
## 380         p15       Mandarin                 FH              k Different       1
## 381         p15       Mandarin                 FL              k Different       1
## 382         p15       Mandarin                 HF              k Different       1
## 383         p15       Mandarin                 HH              k      Same       1
## 384         p15       Mandarin                 HL              k Different       1
## 385         p15       Mandarin                 LF              k Different       1
## 386         p15       Mandarin                 LH              k Different       1
## 387         p15       Mandarin                 LL              k      Same       1
## 388         p15       Mandarin                 FF              p      Same       1
## 389         p15       Mandarin                 FH              p Different       1
## 390         p15       Mandarin                 FL              p Different       1
## 391         p15       Mandarin                 HF              p Different       1
## 392         p15       Mandarin                 HH              p      Same       1
## 393         p15       Mandarin                 HL              p Different       1
## 394         p15       Mandarin                 LF              p Different       1
## 395         p15       Mandarin                 LH              p Different       1
## 396         p15       Mandarin                 LL              p      Same       1
## 397         p15       Mandarin                 FF              t      Same       1
## 398         p15       Mandarin                 FH              t Different       1
## 399         p15       Mandarin                 FL              t Different       1
## 400         p15       Mandarin                 HF              t Different       1
## 401         p15       Mandarin                 HH              t      Same       1
## 402         p15       Mandarin                 HL              t Different       1
## 403         p15       Mandarin                 LF              t Different       1
## 404         p15       Mandarin                 LH              t Different       1
## 405         p15       Mandarin                 LL              t      Same       1
## 406         p16       Mandarin                 FF              k      Same       1
## 407         p16       Mandarin                 FH              k Different       1
## 408         p16       Mandarin                 FL              k Different       1
## 409         p16       Mandarin                 HF              k Different       1
## 410         p16       Mandarin                 HH              k      Same       1
## 411         p16       Mandarin                 HL              k Different       1
## 412         p16       Mandarin                 LF              k Different       1
## 413         p16       Mandarin                 LH              k Different       1
## 414         p16       Mandarin                 LL              k      Same       1
## 415         p16       Mandarin                 FF              p      Same       1
## 416         p16       Mandarin                 FH              p Different       1
## 417         p16       Mandarin                 FL              p Different       1
## 418         p16       Mandarin                 HF              p Different       1
## 419         p16       Mandarin                 HH              p      Same       1
## 420         p16       Mandarin                 HL              p Different       1
## 421         p16       Mandarin                 LF              p Different       1
## 422         p16       Mandarin                 LH              p Different       1
## 423         p16       Mandarin                 LL              p      Same       1
## 424         p16       Mandarin                 FF              t      Same       1
## 425         p16       Mandarin                 FH              t Different       1
## 426         p16       Mandarin                 FL              t Different       1
## 427         p16       Mandarin                 HF              t Different       1
## 428         p16       Mandarin                 HH              t      Same       1
## 429         p16       Mandarin                 HL              t Different       1
## 430         p16       Mandarin                 LF              t Different       1
## 431         p16       Mandarin                 LH              t Different       1
## 432         p16       Mandarin                 LL              t      Same       1
## 433         p17       Mandarin                 FF              k Different       0
## 434         p17       Mandarin                 FH              k Different       1
## 435         p17       Mandarin                 FL              k Different       1
## 436         p17       Mandarin                 HF              k Different       1
## 437         p17       Mandarin                 HH              k      Same       1
## 438         p17       Mandarin                 HL              k Different       1
## 439         p17       Mandarin                 LF              k Different       1
## 440         p17       Mandarin                 LH              k Different       1
## 441         p17       Mandarin                 LL              k      Same       1
## 442         p17       Mandarin                 FF              p      Same       1
## 443         p17       Mandarin                 FH              p Different       1
## 444         p17       Mandarin                 FL              p Different       1
## 445         p17       Mandarin                 HF              p Different       1
## 446         p17       Mandarin                 HH              p      Same       1
## 447         p17       Mandarin                 HL              p Different       1
## 448         p17       Mandarin                 LF              p Different       1
## 449         p17       Mandarin                 LH              p Different       1
## 450         p17       Mandarin                 LL              p      Same       1
## 451         p17       Mandarin                 FF              t      Same       1
## 452         p17       Mandarin                 FH              t Different       1
## 453         p17       Mandarin                 FL              t Different       1
## 454         p17       Mandarin                 HF              t Different       1
## 455         p17       Mandarin                 HH              t      Same       1
## 456         p17       Mandarin                 HL              t Different       1
## 457         p17       Mandarin                 LF              t Different       1
## 458         p17       Mandarin                 LH              t Different       1
## 459         p17       Mandarin                 LL              t      Same       1
## 460         p18       Mandarin                 FF              k      Same       1
## 461         p18       Mandarin                 FH              k Different       1
## 462         p18       Mandarin                 FL              k Different       1
## 463         p18       Mandarin                 HF              k Different       1
## 464         p18       Mandarin                 HH              k      Same       1
## 465         p18       Mandarin                 HL              k Different       1
## 466         p18       Mandarin                 LF              k Different       1
## 467         p18       Mandarin                 LH              k      Same       0
## 468         p18       Mandarin                 LL              k      Same       1
## 469         p18       Mandarin                 FF              p      Same       1
## 470         p18       Mandarin                 FH              p Different       1
## 471         p18       Mandarin                 FL              p      Same       0
## 472         p18       Mandarin                 HF              p Different       1
## 473         p18       Mandarin                 HH              p      Same       1
## 474         p18       Mandarin                 HL              p Different       1
## 475         p18       Mandarin                 LF              p Different       1
## 476         p18       Mandarin                 LH              p Different       1
## 477         p18       Mandarin                 LL              p      Same       1
## 478         p18       Mandarin                 FF              t      Same       1
## 479         p18       Mandarin                 FH              t Different       1
## 480         p18       Mandarin                 FL              t Different       1
## 481         p18       Mandarin                 HF              t Different       1
## 482         p18       Mandarin                 HH              t      Same       1
## 483         p18       Mandarin                 HL              t Different       1
## 484         p18       Mandarin                 LF              t Different       1
## 485         p18       Mandarin                 LH              t Different       1
## 486         p18       Mandarin                 LL              t      Same       1
## 487         p19       Mandarin                 FF              k      Same       1
## 488         p19       Mandarin                 FH              k Different       1
## 489         p19       Mandarin                 FL              k Different       1
## 490         p19       Mandarin                 HF              k Different       1
## 491         p19       Mandarin                 HH              k      Same       1
## 492         p19       Mandarin                 HL              k Different       1
## 493         p19       Mandarin                 LF              k Different       1
## 494         p19       Mandarin                 LH              k      Same       0
## 495         p19       Mandarin                 LL              k      Same       1
## 496         p19       Mandarin                 FF              p      Same       1
## 497         p19       Mandarin                 FH              p Different       1
## 498         p19       Mandarin                 FL              p Different       1
## 499         p19       Mandarin                 HF              p Different       1
## 500         p19       Mandarin                 HH              p      Same       1
## 501         p19       Mandarin                 HL              p Different       1
## 502         p19       Mandarin                 LF              p Different       1
## 503         p19       Mandarin                 LH              p Different       1
## 504         p19       Mandarin                 LL              p      Same       1
## 505         p19       Mandarin                 FF              t      Same       1
## 506         p19       Mandarin                 FH              t Different       1
## 507         p19       Mandarin                 FL              t Different       1
## 508         p19       Mandarin                 HF              t Different       1
## 509         p19       Mandarin                 HH              t      Same       1
## 510         p19       Mandarin                 HL              t Different       1
## 511         p19       Mandarin                 LF              t Different       1
## 512         p19       Mandarin                 LH              t Different       1
## 513         p19       Mandarin                 LL              t      Same       1
## 514         p20       Mandarin                 FF              k      Same       1
## 515         p20       Mandarin                 FH              k Different       1
## 516         p20       Mandarin                 FL              k Different       1
## 517         p20       Mandarin                 HF              k Different       1
## 518         p20       Mandarin                 HH              k      Same       1
## 519         p20       Mandarin                 HL              k      Same       0
## 520         p20       Mandarin                 LF              k Different       1
## 521         p20       Mandarin                 LH              k Different       1
## 522         p20       Mandarin                 LL              k      Same       1
## 523         p20       Mandarin                 FF              p      Same       1
## 524         p20       Mandarin                 FH              p Different       1
## 525         p20       Mandarin                 FL              p Different       1
## 526         p20       Mandarin                 HF              p Different       1
## 527         p20       Mandarin                 HH              p      Same       1
## 528         p20       Mandarin                 HL              p Different       1
## 529         p20       Mandarin                 LF              p Different       1
## 530         p20       Mandarin                 LH              p Different       1
## 531         p20       Mandarin                 LL              p      Same       1
## 532         p20       Mandarin                 FF              t      Same       1
## 533         p20       Mandarin                 FH              t Different       1
## 534         p20       Mandarin                 FL              t Different       1
## 535         p20       Mandarin                 HF              t Different       1
## 536         p20       Mandarin                 HH              t      Same       1
## 537         p20       Mandarin                 HL              t Different       1
## 538         p20       Mandarin                 LF              t Different       1
## 539         p20       Mandarin                 LH              t Different       1
## 540         p20       Mandarin                 LL              t      Same       1
## 541         p21       Mandarin                 FF              k      Same       1
## 542         p21       Mandarin                 FH              k Different       1
## 543         p21       Mandarin                 FL              k Different       1
## 544         p21       Mandarin                 HF              k Different       1
## 545         p21       Mandarin                 HH              k      Same       1
## 546         p21       Mandarin                 HL              k Different       1
## 547         p21       Mandarin                 LF              k      Same       0
## 548         p21       Mandarin                 LH              k Different       1
## 549         p21       Mandarin                 LL              k      Same       1
## 550         p21       Mandarin                 FF              p      Same       1
## 551         p21       Mandarin                 FH              p Different       1
## 552         p21       Mandarin                 FL              p Different       1
## 553         p21       Mandarin                 HF              p Different       1
## 554         p21       Mandarin                 HH              p      Same       1
## 555         p21       Mandarin                 HL              p Different       1
## 556         p21       Mandarin                 LF              p Different       1
## 557         p21       Mandarin                 LH              p Different       1
## 558         p21       Mandarin                 LL              p      Same       1
## 559         p21       Mandarin                 FF              t      Same       1
## 560         p21       Mandarin                 FH              t Different       1
## 561         p21       Mandarin                 FL              t Different       1
## 562         p21       Mandarin                 HF              t Different       1
## 563         p21       Mandarin                 HH              t      Same       1
## 564         p21       Mandarin                 HL              t Different       1
## 565         p21       Mandarin                 LF              t      Same       0
## 566         p21       Mandarin                 LH              t Different       1
## 567         p21       Mandarin                 LL              t      Same       1
## 568         p22       Mandarin                 FF              k      Same       1
## 569         p22       Mandarin                 FH              k Different       1
## 570         p22       Mandarin                 FL              k Different       1
## 571         p22       Mandarin                 HF              k Different       1
## 572         p22       Mandarin                 HH              k Different       0
## 573         p22       Mandarin                 HL              k Different       1
## 574         p22       Mandarin                 LF              k Different       1
## 575         p22       Mandarin                 LH              k Different       1
## 576         p22       Mandarin                 LL              k Different       0
## 577         p22       Mandarin                 FF              p Different       0
## 578         p22       Mandarin                 FH              p Different       1
## 579         p22       Mandarin                 FL              p Different       1
## 580         p22       Mandarin                 HF              p Different       1
## 581         p22       Mandarin                 HH              p Different       0
## 582         p22       Mandarin                 HL              p Different       1
## 583         p22       Mandarin                 LF              p Different       1
## 584         p22       Mandarin                 LH              p Different       1
## 585         p22       Mandarin                 LL              p Different       0
## 586         p22       Mandarin                 FF              t Different       0
## 587         p22       Mandarin                 FH              t Different       1
## 588         p22       Mandarin                 FL              t Different       1
## 589         p22       Mandarin                 HF              t Different       1
## 590         p22       Mandarin                 HH              t      Same       1
## 591         p22       Mandarin                 HL              t      Same       0
## 592         p22       Mandarin                 LF              t Different       1
## 593         p22       Mandarin                 LH              t      Same       0
## 594         p22       Mandarin                 LL              t Different       0
## 595         p23       Mandarin                 FF              k      Same       1
## 596         p23       Mandarin                 FH              k Different       1
## 597         p23       Mandarin                 FL              k Different       1
## 598         p23       Mandarin                 HF              k Different       1
## 599         p23       Mandarin                 HH              k      Same       1
## 600         p23       Mandarin                 HL              k Different       1
## 601         p23       Mandarin                 LF              k Different       1
## 602         p23       Mandarin                 LH              k Different       1
## 603         p23       Mandarin                 LL              k      Same       1
## 604         p23       Mandarin                 FF              p      Same       1
## 605         p23       Mandarin                 FH              p Different       1
## 606         p23       Mandarin                 FL              p Different       1
## 607         p23       Mandarin                 HF              p Different       1
## 608         p23       Mandarin                 HH              p      Same       1
## 609         p23       Mandarin                 HL              p Different       1
## 610         p23       Mandarin                 LF              p Different       1
## 611         p23       Mandarin                 LH              p Different       1
## 612         p23       Mandarin                 LL              p      Same       1
## 613         p23       Mandarin                 FF              t      Same       1
## 614         p23       Mandarin                 FH              t Different       1
## 615         p23       Mandarin                 FL              t Different       1
## 616         p23       Mandarin                 HF              t Different       1
## 617         p23       Mandarin                 HH              t      Same       1
## 618         p23       Mandarin                 HL              t Different       1
## 619         p23       Mandarin                 LF              t Different       1
## 620         p23       Mandarin                 LH              t Different       1
## 621         p23       Mandarin                 LL              t      Same       1
## 622         p24       Mandarin                 FF              k      Same       1
## 623         p24       Mandarin                 FH              k Different       1
## 624         p24       Mandarin                 FL              k Different       1
## 625         p24       Mandarin                 HF              k Different       1
## 626         p24       Mandarin                 HH              k      Same       1
## 627         p24       Mandarin                 HL              k Different       1
## 628         p24       Mandarin                 LF              k Different       1
## 629         p24       Mandarin                 LH              k Different       1
## 630         p24       Mandarin                 LL              k      Same       1
## 631         p24       Mandarin                 FF              p      Same       1
## 632         p24       Mandarin                 FH              p Different       1
## 633         p24       Mandarin                 FL              p Different       1
## 634         p24       Mandarin                 HF              p Different       1
## 635         p24       Mandarin                 HH              p      Same       1
## 636         p24       Mandarin                 HL              p Different       1
## 637         p24       Mandarin                 LF              p Different       1
## 638         p24       Mandarin                 LH              p Different       1
## 639         p24       Mandarin                 LL              p      Same       1
## 640         p24       Mandarin                 FF              t      Same       1
## 641         p24       Mandarin                 FH              t Different       1
## 642         p24       Mandarin                 FL              t Different       1
## 643         p24       Mandarin                 HF              t Different       1
## 644         p24       Mandarin                 HH              t      Same       1
## 645         p24       Mandarin                 HL              t Different       1
## 646         p24       Mandarin                 LF              t Different       1
## 647         p24       Mandarin                 LH              t Different       1
## 648         p24       Mandarin                 LL              t      Same       1
## 649         p25       Mandarin                 FF              k      Same       1
## 650         p25       Mandarin                 FH              k Different       1
## 651         p25       Mandarin                 FL              k      Same       0
## 652         p25       Mandarin                 HF              k Different       1
## 653         p25       Mandarin                 HH              k      Same       1
## 654         p25       Mandarin                 HL              k Different       1
## 655         p25       Mandarin                 LF              k Different       1
## 656         p25       Mandarin                 LH              k Different       1
## 657         p25       Mandarin                 LL              k      Same       1
## 658         p25       Mandarin                 FF              p      Same       1
## 659         p25       Mandarin                 FH              p Different       1
## 660         p25       Mandarin                 FL              p Different       1
## 661         p25       Mandarin                 HF              p Different       1
## 662         p25       Mandarin                 HH              p      Same       1
## 663         p25       Mandarin                 HL              p Different       1
## 664         p25       Mandarin                 LF              p Different       1
## 665         p25       Mandarin                 LH              p Different       1
## 666         p25       Mandarin                 LL              p      Same       1
## 667         p25       Mandarin                 FF              t      Same       1
## 668         p25       Mandarin                 FH              t Different       1
## 669         p25       Mandarin                 FL              t Different       1
## 670         p25       Mandarin                 HF              t Different       1
## 671         p25       Mandarin                 HH              t      Same       1
## 672         p25       Mandarin                 HL              t Different       1
## 673         p25       Mandarin                 LF              t Different       1
## 674         p25       Mandarin                 LH              t Different       1
## 675         p25       Mandarin                 LL              t      Same       1

Run the model:

library(lme4)
## Loading required package: Matrix
contrast <- cbind (c(-1/2, +1/2))

colnames (contrast) <- c("-English+Mandarin")
my_data$language.group <- as.factor (my_data$language.group)
contrasts (my_data$language.group) <- contrast
modelAccuracy <- glmer (correct ~ language.group + (1 | participant), data = my_data, family = "binomial")
summary (modelAccuracy)
## Generalized linear mixed model fit by maximum likelihood (Laplace Approximation) ['glmerMod']
##  Family: binomial  ( logit )
## Formula: correct ~ language.group + (1 | participant)
##    Data: my_data
## 
##      AIC      BIC   logLik deviance df.resid 
##    291.4    304.9   -142.7    285.4      672 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.5413  0.1292  0.1805  0.2640  0.5795 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  participant (Intercept) 1.13     1.063   
## Number of obs: 675, groups:  participant, 25
## 
## Fixed effects:
##                                 Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                       3.2643     0.3413   9.565   <2e-16 ***
## language.group-English+Mandarin   0.6560     0.5932   1.106    0.269    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr)
## lngg.gr-E+M 0.143
confint (modelAccuracy)
## Computing profile confidence intervals ...
##                                      2.5 %   97.5 %
## .sig01                           0.5929067 1.847018
## (Intercept)                      2.6823886 4.092366
## language.group-English+Mandarin -0.5219077 1.970285

Calculate separate probabilities for each language group:

#Mandarin
log_odds_mandarin <- 3.2643 + 0.5 * 0.6560
prob_mandarin <- exp(log_odds_mandarin) / (1 + exp(log_odds_mandarin))
prob_mandarin
## [1] 0.9732029
#English
log_odds_english <- 3.2643 - 0.5 * 0.6560
prob_english <- exp(log_odds_english) / (1 + exp(log_odds_english))
prob_english
## [1] 0.949612

Calculate the odds ratio of the language effect:

log_odds <- c(-0.5219077, 1.970285)
odds_ratios <- exp(log_odds)
print(odds_ratios)
## [1] 0.5933875 7.1727204

Plot for quantitative analysis

# Load required library
library(ggplot2)

# Create a data frame with the given data
data <- data.frame(
  Language = c("English", "Mandarin"),
  Average = c(prob_english, prob_mandarin)
)

# Create the bar plot
ggplot(data, aes(x = Language, y = Average, fill = Language)) +
  geom_bar(stat = "identity") +
  scale_fill_manual(values = c("skyblue", "orange")) +
  labs(title = "Average Language Group Scores",
       x = "Language",
       y = "Average Score") +
  theme_minimal()

Plot for exploratory observation

library(ggplot2)

data <- data.frame(
  participant = paste0("p", 1:25),
  language_group = c(rep("English", 12), rep("Mandarin", 13)),
  correct = c(27, 27, 25, 23, 22, 23, 24, 25, 25, 27, 27, 26, 27, 27, 27, 27, 26, 25, 26, 26, 25, 18, 27, 27, 26),
  incorrect = c(0, 0, 2, 4, 5, 4, 3, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 9, 0, 0, 1)
)
english_data <- subset(data, language_group == "English")
mandarin_data <- subset(data, language_group == "Mandarin")

english_data$participant <- factor(english_data$participant, levels = unique(english_data$participant))
mandarin_data$participant <- factor(mandarin_data$participant, levels = unique(mandarin_data$participant))

ggplot(english_data, aes(x = participant, y = correct, fill = "Correct")) +
  geom_bar(stat = "identity", position = "dodge") +
  geom_bar(aes(y = -incorrect, fill = "Incorrect"), stat = "identity", position = "dodge") +
  scale_fill_manual(values = c("Correct" = "darkolivegreen3", "Incorrect" = "pink2")) +
  labs(title = "English",
       x = "Participant",
       y = "Count") +
  theme_minimal() +
  theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust=1)) +
  theme(legend.position = "bottom")

ggplot(mandarin_data, aes(x = participant, y = correct, fill = "Correct")) +
  geom_bar(stat = "identity", position = "dodge") +
  geom_bar(aes(y = -incorrect, fill = "Incorrect"), stat = "identity", position = "dodge") +
  scale_fill_manual(values = c("Correct" = "darkolivegreen3", "Incorrect" = "pink2")) +
  labs(title = "Mandarin",
       x = "Participant",
       y = "Count") +
  theme_minimal() +
  theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust=1)) +
  theme(legend.position = "bottom")