このドキュメントでは、袰岩・篠原・篠原(2019)『PISA調査の解剖』の第4章のコードを再現する。
なお、筆者の環境に合わせてコードを一部加筆修正している。
#Load library
library(PISA2012lite)
#Load data
data("scoredItem2012")
data("scoredOtem2012dict")
## Warning in data("scoredOtem2012dict"): data set 'scoredOtem2012dict' not found
#Make dataset of Japan
JPN2012x <- scoredItem2012[scoredItem2012$CNT=="Japan",]
rm("scoredItem2012")
#Summary Math item
summary(JPN2012x[,9:116])
## PM00FQ01 PM00GQ01 PM00KQ02 PM033Q01
## Score 0 : 921 Score 0 :1504 Score 0 :1659 Score 0 : 271
## Score 1 : 983 Score 1 : 417 Score 1 : 219 Score 1 :1686
## N/A :4428 N/A :4416 N/A :4412 N/A :4386
## Not reached: 19 Not reached: 14 Not reached: 61 Not reached: 8
##
## PM034Q01T PM155Q01 PM155Q02D PM155Q03D
## Score 0 : 807 Score 0 : 409 Score 0 : 584 Score 0 :1284
## Score 1 :1124 Score 1 :1546 Score 1 : 230 Score 1 : 272
## N/A :4386 N/A :4386 Score 2 :1142 Score 2 : 399
## Not reached: 34 Not reached: 10 N/A :4386 N/A :4386
## Not reached: 9 Not reached: 10
## PM155Q04T PM192Q01T PM273Q01T PM305Q01
## Score 0 : 808 Score 0 : 783 Score 0 : 690 Score 0 : 778
## Score 1 :1146 Score 1 :1155 Score 1 :1238 Score 1 :1161
## N/A :4386 N/A :4409 N/A :4414 N/A :4409
## Not reached: 11 Not reached: 4 Not reached: 9 Not reached: 3
##
## PM406Q01 PM406Q02 PM408Q01T PM411Q01
## Score 0 :1180 Score 0 :1223 Score 0 :1179 Score 0 : 854
## Score 1 : 755 Score 1 : 709 Score 1 : 747 Score 1 :1099
## N/A :4409 N/A :4409 N/A :4414 N/A :4386
## Not reached: 7 Not reached: 10 Not reached: 11 Not reached: 12
##
## PM411Q02 PM420Q01T PM423Q01 PM442Q02
## Score 0 : 904 Score 0 :1067 Score 0 : 409 Score 0 : 718
## Score 1 :1047 Score 1 : 858 Score 1 :1529 Score 1 :1225
## N/A :4386 N/A :4414 N/A :4409 N/A :4386
## Not reached: 14 Not reached: 12 Not reached: 4 Not reached: 22
##
## PM446Q01 PM446Q02 PM447Q01 PM462Q01D
## Score 0 : 421 Score 0 :1636 Score 0 : 265 Score 0 :1592
## Score 1 :1504 Score 1 : 283 Score 1 :1665 Score 1 : 201
## N/A :4414 N/A :4414 N/A :4414 Score 2 : 146
## Not reached: 12 Not reached: 18 Not reached: 7 N/A :4386
## Not reached: 26
## PM464Q01T PM474Q01 PM496Q01T PM496Q02
## Score 0 :1217 Score 0 : 203 Score 0 : 768 Score 0 : 532
## Score 1 : 697 Score 1 :1753 Score 1 :1170 Score 1 :1406
## N/A :4414 N/A :4386 N/A :4409 N/A :4409
## Not reached: 23 Not reached: 9 Not reached: 4 Not reached: 4
##
## PM559Q01 PM564Q01 PM564Q02 PM571Q01
## Score 0 : 650 Score 0 : 947 Score 0 : 817 Score 0 : 923
## Score 1 :1268 Score 1 : 977 Score 1 :1105 Score 1 :1005
## N/A :4414 N/A :4409 N/A :4409 N/A :4409
## Not reached: 19 Not reached: 18 Not reached: 20 Not reached: 14
##
## PM603Q01T PM800Q01 PM803Q01T PM828Q01
## Score 0 : 941 Score 0 : 77 Score 0 : 870 Score 0 :1147
## Score 1 : 990 Score 1 :1837 Score 1 :1078 Score 1 : 771
## N/A :4409 N/A :4414 N/A :4386 N/A :4414
## Not reached: 11 Not reached: 23 Not reached: 17 Not reached: 19
##
## PM828Q02 PM828Q03 PM903Q01 PM903Q03
## Score 0 : 859 Score 0 :1747 Score 0 :1141 Score 0 :1082
## Score 1 :1057 Score 1 : 168 Score 1 : 189 Score 1 : 827
## N/A :4414 N/A :4414 Score 2 : 579 N/A :4428
## Not reached: 21 Not reached: 22 N/A :4428 Not reached: 14
## Not reached: 14
## PM905Q01T PM905Q02 PM906Q01 PM906Q02
## Score 0 : 256 Score 0 : 738 Score 0 : 776 Score 0 : 857
## Score 1 :1697 Score 1 :1212 Score 1 :1142 Score 1 : 515
## N/A :4389 N/A :4389 N/A :4412 Score 2 : 543
## Not reached: 9 Not reached: 12 Not reached: 21 N/A :4412
## Not reached: 24
## PM909Q01 PM909Q02 PM909Q03 PM915Q01
## Score 0 : 114 Score 0 : 584 Score 0 : 810 Score 0 : 808
## Score 1 :1812 Score 1 :1341 Score 1 :1114 Score 1 :1114
## N/A :4416 N/A :4416 N/A :4416 N/A :4412
## Not reached: 9 Not reached: 10 Not reached: 11 Not reached: 17
##
## PM915Q02 PM918Q01 PM918Q02 PM918Q05
## Score 0 : 663 Score 0 : 285 Score 0 : 177 Score 0 : 239
## Score 1 :1259 Score 1 :1629 Score 1 :1737 Score 1 :1675
## N/A :4412 N/A :4428 N/A :4428 N/A :4428
## Not reached: 17 Not reached: 9 Not reached: 9 Not reached: 9
##
## PM919Q01 PM919Q02 PM923Q01 PM923Q03
## Score 0 : 241 Score 0 :1136 Score 0 : 824 Score 0 : 903
## Score 1 :1707 Score 1 : 811 Score 1 :1090 Score 1 :1009
## N/A :4389 N/A :4389 N/A :4428 N/A :4428
## Not reached: 14 Not reached: 15 Not reached: 9 Not reached: 11
##
## PM923Q04 PM924Q02 PM934Q01 PM934Q02
## Score 0 :1555 Score 0 : 568 Score 0 : 0 Score 0 : 0
## Score 1 : 356 Score 1 :1319 Score 1 : 0 Score 1 : 0
## N/A :4428 N/A :4429 N/A :6351 N/A :6351
## Not reached: 12 Not reached: 35 Not reached: 0 Not reached: 0
##
## PM936Q01 PM936Q02 PM939Q01 PM939Q02
## Score 0 : 0 Score 0 : 0 Score 0 : 0 Score 0 : 0
## Score 1 : 0 Score 1 : 0 Score 1 : 0 Score 1 : 0
## N/A :6351 N/A :6351 N/A :6351 N/A :6351
## Not reached: 0 Not reached: 0 Not reached: 0 Not reached: 0
##
## PM942Q01 PM942Q02 PM942Q03 PM943Q01
## Score 0 : 0 Score 0 : 0 Score 0 : 0 Score 0 : 771
## Score 1 : 0 Score 1 : 0 Score 1 : 0 Score 1 :1164
## N/A :6351 N/A :6351 Score 2 : 0 N/A :4389
## Not reached: 0 Not reached: 0 N/A :6351 Not reached: 27
## Not reached: 0
## PM943Q02 PM948Q01 PM948Q02 PM948Q03
## Score 0 :1608 Score 0 : 0 Score 0 : 0 Score 0 : 0
## Score 1 : 326 Score 1 : 0 Score 1 : 0 Score 1 : 0
## N/A :4389 N/A :6351 N/A :6351 N/A :6351
## Not reached: 28 Not reached: 0 Not reached: 0 Not reached: 0
##
## PM949Q01T PM949Q02T PM949Q03 PM953Q02
## Score 0 : 302 Score 0 : 531 Score 0 : 590 Score 0 : 895
## Score 1 :1621 Score 1 :1392 Score 1 : 170 Score 1 :1000
## N/A :4416 N/A :4416 Score 2 :1163 N/A :4389
## Not reached: 12 Not reached: 12 N/A :4416 Not reached: 67
## Not reached: 12
## PM953Q03 PM953Q04D PM954Q01 PM954Q02
## Score 0 : 750 Score 0 :1398 Score 0 : 466 Score 0 : 808
## Score 1 :1135 Score 1 : 171 Score 1 :1479 Score 1 :1131
## N/A :4389 Score 2 : 302 N/A :4389 N/A :4389
## Not reached: 77 N/A :4389 Not reached: 17 Not reached: 23
## Not reached: 91
## PM954Q04 PM955Q01 PM955Q02 PM955Q03
## Score 0 :1295 Score 0 : 433 Score 0 :1252 Score 0 :1543
## Score 1 : 640 Score 1 :1487 Score 1 : 667 Score 1 : 104
## N/A :4389 N/A :4416 N/A :4416 Score 2 : 269
## Not reached: 27 Not reached: 15 Not reached: 16 N/A :4416
## Not reached: 19
## PM957Q01 PM957Q02 PM957Q03 PM961Q02
## Score 0 : 0 Score 0 : 0 Score 0 : 0 Score 0 : 0
## Score 1 : 0 Score 1 : 0 Score 1 : 0 Score 1 : 0
## N/A :6351 N/A :6351 N/A :6351 N/A :6351
## Not reached: 0 Not reached: 0 Not reached: 0 Not reached: 0
##
## PM961Q03 PM961Q05 PM967Q01 PM967Q03T
## Score 0 : 0 Score 0 : 0 Score 0 : 0 Score 0 : 0
## Score 1 : 0 Score 1 : 0 Score 1 : 0 Score 1 : 0
## N/A :6351 Score 2 : 0 N/A :6351 N/A :6351
## Not reached: 0 N/A :6351 Not reached: 0 Not reached: 0
## Not reached: 0
## PM982Q01 PM982Q02 PM982Q03T PM982Q04
## Score 0 : 286 Score 0 :1140 Score 0 : 468 Score 0 : 488
## Score 1 :1646 Score 1 : 790 Score 1 :1462 Score 1 :1442
## N/A :4412 N/A :4412 N/A :4412 N/A :4412
## Not reached: 7 Not reached: 9 Not reached: 9 Not reached: 9
##
## PM985Q01 PM985Q02 PM985Q03 PM991Q01
## Score 0 : 0 Score 0 : 0 Score 0 : 0 Score 0 : 0
## Score 1 : 0 Score 1 : 0 Score 1 : 0 Score 1 : 0
## N/A :6351 N/A :6351 N/A :6351 N/A :6351
## Not reached: 0 Not reached: 0 Not reached: 0 Not reached: 0
##
## PM991Q02D PM992Q01 PM992Q02 PM992Q03
## Score 0 : 0 Score 0 : 220 Score 0 :1094 Score 0 :1582
## Score 1 : 0 Score 1 :1709 Score 1 : 832 Score 1 : 340
## Score 2 : 0 N/A :4412 N/A :4412 N/A :4412
## N/A :6351 Not reached: 10 Not reached: 13 Not reached: 17
## Not reached: 0
## PM995Q01 PM995Q02 PM995Q03 PM998Q02
## Score 0 : 502 Score 0 :1760 Score 0 : 893 Score 0 : 282
## Score 1 :1407 Score 1 : 147 Score 1 :1013 Score 1 :1633
## N/A :4428 N/A :4428 N/A :4428 N/A :4416
## Not reached: 14 Not reached: 16 Not reached: 17 Not reached: 20
##
#Make dataset for JML
JPN2012m <- as.data.frame(lapply(JPN2012x[,9:116], as.character), stringsAsFactors = F)
JPN2012m[JPN2012m=="Score 0"] <- 0
JPN2012m[JPN2012m=="Score 1"] <- 1
JPN2012m[JPN2012m=="Score 2"] <- 2
JPN2012m[JPN2012m=="N/A"|JPN2012m=="Not reached"] <- NA
JPN2012m <- as.data.frame(lapply(JPN2012m, as.numeric), stringsAsFactors = F)
#delete all .na item
all.na <- apply(JPN2012m, 2, function(x){all(is.na(x))})
JPN2012m <- JPN2012m[, !all.na]
#delete all .na student
all.na <- apply(JPN2012m, 1, function(x){all(is.na(x))})
JPN2012j <-JPN2012m[!all.na,]
#Load library
library(TAM)
## Loading required package: CDM
## Loading required package: mvtnorm
## **********************************
## ** CDM 7.5-15 (2020-03-10 14:19:21)
## ** Cognitive Diagnostic Models **
## **********************************
## * TAM 3.5-19 (2020-05-05 22:45:39)
#JML
mod0 <- tam.jml(JPN2012j)
summary(mod0) #item difficulty
## ------------------------------------------------------------
## TAM 3.5-19 (2020-05-05 22:45:39)
## R version 4.0.3 (2020-10-10) x86_64, mingw32 | nodename=DESKTOP-4VK45GQ | login=turid
##
## Start of Analysis: 2020-11-10 05:03:42
## End of Analysis: 2020-11-10 05:03:45
## Time difference of 3.293189 secs
## Computation time: 3.293189
##
## Joint Maximum Likelihood Estimation in TAM
##
## IRT Model
## Call:
## tam.jml(resp = JPN2012j)
##
## ------------------------------------------------------------
## Number of iterations = 21
##
## Deviance = 146268.4 | Log Likelihood = -73134.18
## Number of persons = 6303
## Number of items = 83
## constraint = cases
## bias = TRUE
## ------------------------------------------------------------
## Person Parameters xsi
## M = 0
## SD = 1.46
## ------------------------------------------------------------
## Item Parameters xsi
## xsi.label xsi.index xsi se.xsi
## 1 PM00FQ01_Cat1 1 -0.007 0.054
## 2 PM00GQ01_Cat1 2 1.783 0.063
## 3 PM00KQ02_Cat1 3 2.602 0.079
## 4 PM033Q01_Cat1 4 -2.279 0.073
## 5 PM034Q01T_Cat1 5 -0.369 0.053
## 6 PM155Q01_Cat1 6 -1.655 0.063
## 7 PM155Q02D_Cat1 7 0.262 0.064
## 8 PM155Q02D_Cat2 8 -1.339 0.059
## 9 PM155Q03D_Cat1 9 1.606 0.060
## 10 PM155Q03D_Cat2 10 0.619 0.070
## 11 PM155Q04T_Cat1 11 -0.386 0.053
## 12 PM192Q01T_Cat1 12 -0.491 0.054
## 13 PM273Q01T_Cat1 13 -0.778 0.055
## 14 PM305Q01_Cat1 14 -0.506 0.054
## 15 PM406Q01_Cat1 15 0.639 0.054
## 16 PM406Q02_Cat1 16 0.774 0.055
## 17 PM408Q01T_Cat1 17 0.626 0.054
## 18 PM411Q01_Cat1 18 -0.257 0.053
## 19 PM411Q02_Cat1 19 -0.118 0.052
## 20 PM420Q01T_Cat1 20 0.308 0.053
## 21 PM423Q01_Cat1 21 -1.713 0.063
## 22 PM442Q02_Cat1 22 -0.620 0.054
## 23 PM446Q01_Cat1 23 -1.686 0.063
## 24 PM446Q02_Cat1 24 2.282 0.071
## 25 PM447Q01_Cat1 25 -2.413 0.074
## 26 PM462Q01D_Cat1 26 2.442 0.070
## 27 PM462Q01D_Cat2 27 1.755 0.102
## 28 PM464Q01T_Cat1 28 0.767 0.055
## 29 PM474Q01_Cat1 29 -2.679 0.082
## 30 PM496Q01T_Cat1 30 -0.535 0.054
## 31 PM496Q02_Cat1 31 -1.265 0.059
## 32 PM559Q01_Cat1 32 -0.882 0.056
## 33 PM564Q01_Cat1 33 0.000 0.053
## 34 PM564Q02_Cat1 34 -0.366 0.054
## 35 PM571Q01_Cat1 35 -0.075 0.053
## 36 PM603Q01T_Cat1 36 -0.030 0.053
## 37 PM800Q01_Cat1 37 -3.976 0.124
## 38 PM803Q01T_Cat1 38 -0.208 0.053
## 39 PM828Q01_Cat1 39 0.552 0.054
## 40 PM828Q02_Cat1 40 -0.258 0.054
## 41 PM828Q03_Cat1 41 2.974 0.087
## 42 PM903Q01_Cat1 42 1.709 0.062
## 43 PM903Q01_Cat2 43 -0.232 0.066
## 44 PM903Q03_Cat1 44 0.443 0.054
## 45 PM905Q01T_Cat1 45 -2.639 0.078
## 46 PM905Q02_Cat1 46 -0.707 0.056
## 47 PM906Q01_Cat1 47 -0.515 0.054
## 48 PM906Q02_Cat1 48 0.186 0.058
## 49 PM906Q02_Cat2 49 0.642 0.063
## 50 PM909Q01_Cat1 50 -3.501 0.106
## 51 PM909Q02_Cat1 51 -1.044 0.058
## 52 PM909Q03_Cat1 52 -0.349 0.054
## 53 PM915Q01_Cat1 53 -0.431 0.054
## 54 PM915Q02_Cat1 54 -0.860 0.056
## 55 PM918Q01_Cat1 55 -2.218 0.072
## 56 PM918Q02_Cat1 56 -2.885 0.087
## 57 PM918Q05_Cat1 57 -2.473 0.077
## 58 PM919Q01_Cat1 58 -2.718 0.079
## 59 PM919Q02_Cat1 59 0.477 0.055
## 60 PM923Q01_Cat1 60 -0.298 0.054
## 61 PM923Q03_Cat1 61 -0.068 0.054
## 62 PM923Q04_Cat1 62 2.007 0.066
## 63 PM924Q02_Cat1 63 -1.032 0.058
## 64 PM943Q01_Cat1 64 -0.576 0.056
## 65 PM943Q02_Cat1 65 2.169 0.069
## 66 PM949Q01T_Cat1 66 -2.154 0.071
## 67 PM949Q02T_Cat1 67 -1.218 0.059
## 68 PM949Q03_Cat1 68 0.491 0.067
## 69 PM949Q03_Cat2 69 -1.645 0.063
## 70 PM953Q02_Cat1 70 -0.115 0.055
## 71 PM953Q03_Cat1 71 -0.541 0.056
## 72 PM953Q04D_Cat1 72 2.331 0.069
## 73 PM953Q04D_Cat2 73 0.788 0.081
## 74 PM954Q01_Cat1 74 -1.627 0.063
## 75 PM954Q02_Cat1 75 -0.469 0.055
## 76 PM954Q04_Cat1 76 0.991 0.057
## 77 PM955Q01_Cat1 77 -1.571 0.063
## 78 PM955Q02_Cat1 78 0.936 0.056
## 79 PM955Q03_Cat1 79 3.036 0.073
## 80 PM955Q03_Cat2 80 0.436 0.083
## 81 PM982Q01_Cat1 81 -2.298 0.072
## 82 PM982Q02_Cat1 82 0.490 0.054
## 83 PM982Q03T_Cat1 83 -1.518 0.061
## 84 PM982Q04_Cat1 84 -1.446 0.060
## 85 PM992Q01_Cat1 85 -2.668 0.080
## 86 PM992Q02_Cat1 86 0.367 0.053
## 87 PM992Q03_Cat1 87 2.002 0.067
## 88 PM995Q01_Cat1 88 -1.298 0.060
## 89 PM995Q02_Cat1 89 3.216 0.093
## 90 PM995Q03_Cat1 90 -0.089 0.054
## 91 PM998Q02_Cat1 91 -2.245 0.073
## ------------------------------------------------------------
## Item Parameters -A*Xsi
## item N M xsi.item AXsi_.Cat1 AXsi_.Cat2 B.Cat1.Dim1 B.Cat2.Dim1
## 1 PM00FQ01 1904 0.516 -0.007 -0.007 NA 1 0
## 2 PM00GQ01 1921 0.217 1.783 1.783 NA 1 0
## 3 PM00KQ02 1878 0.117 2.602 2.602 NA 1 0
## 4 PM033Q01 1957 0.862 -2.279 -2.279 NA 1 0
## 5 PM034Q01T 1931 0.582 -0.369 -0.369 NA 1 0
## 6 PM155Q01 1955 0.791 -1.655 -1.655 NA 1 0
## 7 PM155Q02D 1956 1.285 -0.538 0.262 -1.077 1 2
## 8 PM155Q03D 1955 0.547 1.112 1.606 2.225 1 2
## 9 PM155Q04T 1954 0.586 -0.386 -0.386 NA 1 0
## 10 PM192Q01T 1938 0.596 -0.491 -0.491 NA 1 0
## 11 PM273Q01T 1928 0.642 -0.778 -0.778 NA 1 0
## 12 PM305Q01 1939 0.599 -0.506 -0.506 NA 1 0
## 13 PM406Q01 1935 0.390 0.639 0.639 NA 1 0
## 14 PM406Q02 1932 0.367 0.774 0.774 NA 1 0
## 15 PM408Q01T 1926 0.388 0.626 0.626 NA 1 0
## 16 PM411Q01 1953 0.563 -0.257 -0.257 NA 1 0
## 17 PM411Q02 1951 0.537 -0.118 -0.118 NA 1 0
## 18 PM420Q01T 1925 0.446 0.308 0.308 NA 1 0
## 19 PM423Q01 1938 0.789 -1.713 -1.713 NA 1 0
## 20 PM442Q02 1943 0.630 -0.620 -0.620 NA 1 0
## 21 PM446Q01 1925 0.781 -1.686 -1.686 NA 1 0
## 22 PM446Q02 1919 0.147 2.282 2.282 NA 1 0
## 23 PM447Q01 1930 0.863 -2.413 -2.413 NA 1 0
## 24 PM462Q01D 1939 0.254 2.099 2.442 4.197 1 2
## 25 PM464Q01T 1914 0.364 0.767 0.767 NA 1 0
## 26 PM474Q01 1956 0.896 -2.679 -2.679 NA 1 0
## 27 PM496Q01T 1938 0.604 -0.535 -0.535 NA 1 0
## 28 PM496Q02 1938 0.725 -1.265 -1.265 NA 1 0
## 29 PM559Q01 1918 0.661 -0.882 -0.882 NA 1 0
## 30 PM564Q01 1924 0.508 0.000 0.000 NA 1 0
## 31 PM564Q02 1922 0.575 -0.366 -0.366 NA 1 0
## 32 PM571Q01 1928 0.521 -0.075 -0.075 NA 1 0
## 33 PM603Q01T 1931 0.513 -0.030 -0.030 NA 1 0
## 34 PM800Q01 1914 0.960 -3.976 -3.976 NA 1 0
## 35 PM803Q01T 1948 0.553 -0.208 -0.208 NA 1 0
## 36 PM828Q01 1918 0.402 0.552 0.552 NA 1 0
## 37 PM828Q02 1916 0.552 -0.258 -0.258 NA 1 0
## 38 PM828Q03 1915 0.088 2.974 2.974 NA 1 0
## 39 PM903Q01 1909 0.706 0.738 1.709 1.476 1 2
## 40 PM903Q03 1909 0.433 0.443 0.443 NA 1 0
## 41 PM905Q01T 1953 0.869 -2.639 -2.639 NA 1 0
## 42 PM905Q02 1950 0.622 -0.707 -0.707 NA 1 0
## 43 PM906Q01 1918 0.595 -0.515 -0.515 NA 1 0
## 44 PM906Q02 1915 0.836 0.414 0.186 0.828 1 2
## 45 PM909Q01 1926 0.941 -3.501 -3.501 NA 1 0
## 46 PM909Q02 1925 0.697 -1.044 -1.044 NA 1 0
## 47 PM909Q03 1924 0.579 -0.349 -0.349 NA 1 0
## 48 PM915Q01 1922 0.580 -0.431 -0.431 NA 1 0
## 49 PM915Q02 1922 0.655 -0.860 -0.860 NA 1 0
## 50 PM918Q01 1914 0.851 -2.218 -2.218 NA 1 0
## 51 PM918Q02 1914 0.908 -2.885 -2.885 NA 1 0
## 52 PM918Q05 1914 0.875 -2.473 -2.473 NA 1 0
## 53 PM919Q01 1948 0.876 -2.718 -2.718 NA 1 0
## 54 PM919Q02 1947 0.417 0.477 0.477 NA 1 0
## 55 PM923Q01 1914 0.569 -0.298 -0.298 NA 1 0
## 56 PM923Q03 1912 0.528 -0.068 -0.068 NA 1 0
## 57 PM923Q04 1911 0.186 2.007 2.007 NA 1 0
## 58 PM924Q02 1887 0.699 -1.032 -1.032 NA 1 0
## 59 PM943Q01 1935 0.602 -0.576 -0.576 NA 1 0
## 60 PM943Q02 1934 0.169 2.169 2.169 NA 1 0
## 61 PM949Q01T 1923 0.843 -2.154 -2.154 NA 1 0
## 62 PM949Q02T 1923 0.724 -1.218 -1.218 NA 1 0
## 63 PM949Q03 1923 1.298 -0.577 0.491 -1.154 1 2
## 64 PM953Q02 1895 0.528 -0.115 -0.115 NA 1 0
## 65 PM953Q03 1885 0.602 -0.541 -0.541 NA 1 0
## 66 PM953Q04D 1871 0.414 1.560 2.331 3.119 1 2
## 67 PM954Q01 1945 0.760 -1.627 -1.627 NA 1 0
## 68 PM954Q02 1939 0.583 -0.469 -0.469 NA 1 0
## 69 PM954Q04 1935 0.331 0.991 0.991 NA 1 0
## 70 PM955Q01 1920 0.774 -1.571 -1.571 NA 1 0
## 71 PM955Q02 1919 0.348 0.936 0.936 NA 1 0
## 72 PM955Q03 1916 0.335 1.736 3.036 3.472 1 2
## 73 PM982Q01 1932 0.852 -2.298 -2.298 NA 1 0
## 74 PM982Q02 1930 0.409 0.490 0.490 NA 1 0
## 75 PM982Q03T 1930 0.758 -1.518 -1.518 NA 1 0
## 76 PM982Q04 1930 0.747 -1.446 -1.446 NA 1 0
## 77 PM992Q01 1929 0.886 -2.668 -2.668 NA 1 0
## 78 PM992Q02 1926 0.432 0.367 0.367 NA 1 0
## 79 PM992Q03 1922 0.177 2.002 2.002 NA 1 0
## 80 PM995Q01 1909 0.737 -1.298 -1.298 NA 1 0
## 81 PM995Q02 1907 0.077 3.216 3.216 NA 1 0
## 82 PM995Q03 1906 0.531 -0.089 -0.089 NA 1 0
## 83 PM998Q02 1915 0.853 -2.245 -2.245 NA 1 0
mod0$theta #student ability
#MML
mod1 <- tam.mml(JPN2012m)
mod1$xsi #item difficulty
## xsi se.xsi
## PM00FQ01_Cat1 -0.024541064 0.05241313
## PM00GQ01_Cat1 1.704168240 0.06136013
## PM00KQ02_Cat1 2.542710722 0.07729738
## PM033Q01_Cat1 -2.241346504 0.07148742
## PM034Q01T_Cat1 -0.366964492 0.05215372
## PM155Q01_Cat1 -1.636749489 0.06170272
## PM155Q02D_Cat1 0.323828043 0.06283967
## PM155Q02D_Cat2 -1.396448601 0.05800349
## PM155Q03D_Cat1 1.597730553 0.05832519
## PM155Q03D_Cat2 0.485205655 0.06855625
## PM155Q04T_Cat1 -0.400063428 0.05197507
## PM192Q01T_Cat1 -0.480650294 0.05272057
## PM273Q01T_Cat1 -0.762497344 0.05414971
## PM305Q01_Cat1 -0.495128806 0.05275789
## PM406Q01_Cat1 0.608049334 0.05302155
## PM406Q02_Cat1 0.737228598 0.05360316
## PM408Q01T_Cat1 0.596506679 0.05314982
## PM411Q01_Cat1 -0.275926040 0.05164433
## PM411Q02_Cat1 -0.140288235 0.05141879
## PM420Q01T_Cat1 0.287673613 0.05233341
## PM423Q01_Cat1 -1.660474044 0.06178736
## PM442Q02_Cat1 -0.633089297 0.05305127
## PM446Q01_Cat1 -1.641029827 0.06172479
## PM446Q02_Cat1 2.210453327 0.06995048
## PM447Q01_Cat1 -2.338304032 0.07248992
## PM462Q01D_Cat1 2.403947455 0.06831647
## PM462Q01D_Cat2 1.548832538 0.09900803
## PM464Q01T_Cat1 0.732606844 0.05384830
## PM474Q01_Cat1 -2.628733730 0.08009653
## PM496Q01T_Cat1 -0.522454898 0.05286509
## PM496Q02_Cat1 -1.227938616 0.05717866
## PM559Q01_Cat1 -0.864870679 0.05489265
## PM564Q01_Cat1 -0.008049265 0.05206606
## PM564Q02_Cat1 -0.360846305 0.05259849
## PM571Q01_Cat1 -0.080006104 0.05204939
## PM603Q01T_Cat1 -0.036833116 0.05198489
## PM800Q01_Cat1 -3.850466811 0.12151218
## PM803Q01T_Cat1 -0.226696722 0.05160261
## PM828Q01_Cat1 0.524127552 0.05298504
## PM828Q02_Cat1 -0.262198933 0.05252380
## PM828Q03_Cat1 2.889536023 0.08581228
## PM903Q01_Cat1 1.720998972 0.06003034
## PM903Q01_Cat2 -0.358820918 0.06398744
## PM903Q03_Cat1 0.410696082 0.05264978
## PM905Q01T_Cat1 -2.480711962 0.07427590
## PM905Q02_Cat1 -0.675133095 0.05409721
## PM906Q01_Cat1 -0.492711489 0.05290812
## PM906Q02_Cat1 0.233151147 0.05606692
## PM906Q02_Cat2 0.555780969 0.06127143
## PM909Q01_Cat1 -3.389068177 0.10293943
## PM909Q02_Cat1 -1.031762837 0.05642493
## PM909Q03_Cat1 -0.360475451 0.05293691
## PM915Q01_Cat1 -0.411537937 0.05259848
## PM915Q02_Cat1 -0.824595879 0.05435881
## PM918Q01_Cat1 -2.161407388 0.07065109
## PM918Q02_Cat1 -2.802643207 0.08506250
## PM918Q05_Cat1 -2.406356207 0.07549871
## PM919Q01_Cat1 -2.556929592 0.07600795
## PM919Q02_Cat1 0.447943304 0.05308875
## PM923Q01_Cat1 -0.306228105 0.05275176
## PM923Q03_Cat1 -0.084020091 0.05236524
## PM923Q04_Cat1 1.930640581 0.06464215
## PM924Q02_Cat1 -1.019747716 0.05680630
## PM943Q01_Cat1 -0.553870808 0.05381820
## PM943Q02_Cat1 2.066457435 0.06708673
## PM949Q01T_Cat1 -2.102360801 0.06947630
## PM949Q02T_Cat1 -1.200227904 0.05784772
## PM949Q03_Cat1 0.580002063 0.06506119
## PM949Q03_Cat2 -1.706485722 0.06098019
## PM953Q02_Cat1 -0.120206928 0.05331294
## PM953Q03_Cat1 -0.524711094 0.05446294
## PM953Q04D_Cat1 2.300505507 0.06623008
## PM953Q04D_Cat2 0.568769476 0.07825511
## PM954Q01_Cat1 -1.541885617 0.06055553
## PM954Q02_Cat1 -0.452336371 0.05342232
## PM954Q04_Cat1 0.938043762 0.05526401
## PM955Q01_Cat1 -1.541590949 0.06143478
## PM955Q02_Cat1 0.882393342 0.05436340
## PM955Q03_Cat1 2.993394692 0.07090290
## PM955Q03_Cat2 0.231674582 0.08112438
## PM982Q01_Cat1 -2.205266575 0.07004012
## PM982Q02_Cat1 0.478135739 0.05257098
## PM982Q03T_Cat1 -1.457583658 0.05936500
## PM982Q04_Cat1 -1.387966915 0.05864146
## PM992Q01_Cat1 -2.559731944 0.07741971
## PM992Q02_Cat1 0.359313787 0.05230291
## PM992Q03_Cat1 1.945089624 0.06555053
## PM995Q01_Cat1 -1.274823515 0.05860434
## PM995Q02_Cat1 3.105749128 0.09096748
## PM995Q03_Cat1 -0.104519566 0.05247531
## PM998Q02_Cat1 -2.190817204 0.07127495
mle1 <- tam.wle(mod1, WLE=F) #mle
## Iteration in WLE/MLE estimation 1 | Maximal change 2.6043
## Iteration in WLE/MLE estimation 2 | Maximal change 1.5935
## Iteration in WLE/MLE estimation 3 | Maximal change 0.356
## Iteration in WLE/MLE estimation 4 | Maximal change 0.0707
## Iteration in WLE/MLE estimation 5 | Maximal change 0.0024
## Iteration in WLE/MLE estimation 6 | Maximal change 0
## ----
## MLE Reliability= 0.829
View(mle1)
wle1 <- tam.wle(mod1) #wle
## Iteration in WLE/MLE estimation 1 | Maximal change 2.8261
## Iteration in WLE/MLE estimation 2 | Maximal change 1.5552
## Iteration in WLE/MLE estimation 3 | Maximal change 1.7417
## Iteration in WLE/MLE estimation 4 | Maximal change 1.9061
## Iteration in WLE/MLE estimation 5 | Maximal change 2.3144
## Iteration in WLE/MLE estimation 6 | Maximal change 0.7008
## Iteration in WLE/MLE estimation 7 | Maximal change 1.3652
## Iteration in WLE/MLE estimation 8 | Maximal change 1.4786
## Iteration in WLE/MLE estimation 9 | Maximal change 1.5687
## Iteration in WLE/MLE estimation 10 | Maximal change 1.7615
## Iteration in WLE/MLE estimation 11 | Maximal change 0.4832
## Iteration in WLE/MLE estimation 12 | Maximal change 1.0559
## Iteration in WLE/MLE estimation 13 | Maximal change 1.0992
## Iteration in WLE/MLE estimation 14 | Maximal change 1.1311
## Iteration in WLE/MLE estimation 15 | Maximal change 1.187
## Iteration in WLE/MLE estimation 16 | Maximal change 1.2284
## Iteration in WLE/MLE estimation 17 | Maximal change 1.3046
## Iteration in WLE/MLE estimation 18 | Maximal change 0.3406
## Iteration in WLE/MLE estimation 19 | Maximal change 0.7691
## Iteration in WLE/MLE estimation 20 | Maximal change 0.783
## Iteration in WLE/MLE estimation 21 | Maximal change 0.7933
## ----
## WLE Reliability= 0.824
View(wle1)
wap1 <- mod1$person$EAP
View(mod1$person)
#item-fit statistics
fit1 <- tam.fit(mod1)
## Item fit calculation based on 5 simulations
## |**********|
## |----------|
View(fit1$itemfit)
fit1$itemfit
## parameter Outfit Outfit_t Outfit_p Outfit_pholm Infit
## 1 PM00FQ01_Cat1 0.9045490 -4.5873320 4.489465e-06 1.840680e-04 0.9467884
## 2 PM00GQ01_Cat1 0.7494193 -8.4485378 2.949738e-17 1.946827e-15 0.8867759
## 3 PM00KQ02_Cat1 1.1569017 2.9149698 3.557230e-03 9.003090e-02 1.0098272
## 4 PM033Q01_Cat1 1.3800826 7.4283450 1.099648e-13 6.267996e-12 1.1047007
## 5 PM034Q01T_Cat1 1.0290929 1.3503522 1.769030e-01 1.000000e+00 1.0238672
## 6 PM155Q01_Cat1 1.0128764 0.3806412 7.034695e-01 1.000000e+00 0.9582833
## 7 PM155Q02D_Cat1 1.7028036 18.2552035 1.881086e-74 1.711788e-72 1.1908034
## 8 PM155Q02D_Cat2 1.4448537 13.7588458 4.506645e-43 3.920781e-41 1.2204292
## 9 PM155Q03D_Cat1 0.8275804 -6.3096079 2.797433e-10 1.482640e-08 0.9262116
## 10 PM155Q03D_Cat2 1.0737180 1.9295375 5.366418e-02 9.659552e-01 1.0661923
## 11 PM155Q04T_Cat1 1.2569688 11.0771434 1.619575e-28 1.279465e-26 1.1491027
## 12 PM192Q01T_Cat1 1.0164935 0.7453602 4.560540e-01 1.000000e+00 1.0287673
## 13 PM273Q01T_Cat1 1.1367111 5.3979526 6.740567e-08 3.100661e-06 1.0911075
## 14 PM305Q01_Cat1 1.4133085 16.4466822 8.859007e-61 7.884516e-59 1.2703536
## 15 PM406Q01_Cat1 0.8693637 -6.0339360 1.600135e-09 8.160688e-08 0.8979212
## 16 PM406Q02_Cat1 0.6978049 -14.4932653 1.336360e-47 1.175996e-45 0.7930062
## 17 PM408Q01T_Cat1 1.0737278 3.2000537 1.374020e-03 3.984658e-02 1.0640062
## 18 PM411Q01_Cat1 1.0866769 4.0290497 5.600279e-05 2.128106e-03 1.0480568
## 19 PM411Q02_Cat1 1.0217312 1.0484156 2.944472e-01 1.000000e+00 1.0195590
## 20 PM420Q01T_Cat1 1.4365469 17.8392092 3.506228e-71 3.155605e-69 1.2617072
## 21 PM423Q01_Cat1 1.2914538 8.0042684 1.201790e-15 7.330919e-14 1.1065238
## 22 PM442Q02_Cat1 0.9698497 -1.3437404 1.790324e-01 1.000000e+00 0.9523852
## 23 PM446Q01_Cat1 0.8751275 -3.9116952 9.165055e-05 3.299420e-03 0.8839972
## 24 PM446Q02_Cat1 0.6482848 -9.4723117 2.737178e-21 1.970768e-19 0.8926494
## 25 PM447Q01_Cat1 1.0055080 0.1298055 8.967203e-01 1.000000e+00 0.9885425
## 26 PM462Q01D_Cat1 0.7803146 -5.9291065 3.045875e-09 1.522937e-07 0.9321831
## 27 PM462Q01D_Cat2 1.3869360 5.1606822 2.460515e-07 1.058022e-05 1.1054936
## 28 PM464Q01T_Cat1 0.8250879 -8.0153602 1.098147e-15 6.808512e-14 0.9014299
## 29 PM474Q01_Cat1 1.5486168 8.4973682 1.939375e-17 1.299381e-15 1.0827635
## 30 PM496Q01T_Cat1 0.9350603 -2.9584632 3.091772e-03 8.347783e-02 0.9381285
## 31 PM496Q02_Cat1 1.0026803 0.1006972 9.197908e-01 1.000000e+00 0.9664322
## 32 PM559Q01_Cat1 1.0135608 0.5456960 5.852749e-01 1.000000e+00 0.9981074
## 33 PM564Q01_Cat1 1.1801950 8.0036811 1.207539e-15 7.330919e-14 1.1194487
## 34 PM564Q02_Cat1 1.0996841 4.3896794 1.135179e-05 4.540717e-04 1.0598054
## 35 PM571Q01_Cat1 0.9465053 -2.5561609 1.058342e-02 2.116683e-01 0.9538155
## 36 PM603Q01T_Cat1 1.0663212 3.0608222 2.207302e-03 6.180444e-02 1.0266174
## 37 PM800Q01_Cat1 1.0505100 0.5195290 6.033919e-01 1.000000e+00 1.0055217
## 38 PM803Q01T_Cat1 0.8871194 -5.6497946 1.606397e-08 7.710705e-07 0.9188193
## 39 PM828Q01_Cat1 0.9191732 -3.7261338 1.944392e-04 6.610932e-03 0.9607078
## 40 PM828Q02_Cat1 1.1334259 5.8416450 5.168787e-09 2.532706e-07 1.0853204
## 41 PM828Q03_Cat1 0.7932461 -3.6580653 2.541263e-04 8.132043e-03 0.9873423
## 42 PM903Q01_Cat1 1.3370179 9.6718030 3.973157e-22 2.940136e-20 1.1097079
## 43 PM903Q01_Cat2 1.2281167 6.5259492 6.757223e-11 3.648900e-09 1.0452180
## 44 PM903Q03_Cat1 0.8881630 -5.3731794 7.736030e-08 3.481213e-06 0.9143944
## 45 PM905Q01T_Cat1 1.1993004 3.9838828 6.779832e-05 2.508538e-03 1.0367176
## 46 PM905Q02_Cat1 0.7186954 -12.7483866 3.182638e-37 2.705242e-35 0.8028677
## 47 PM906Q01_Cat1 0.9366704 -2.8664128 4.151526e-03 9.548509e-02 0.9569910
## 48 PM906Q02_Cat1 0.7536955 -10.4809985 1.056227e-25 8.238569e-24 0.8340351
## 49 PM906Q02_Cat2 1.0745561 2.4649584 1.370292e-02 2.603554e-01 1.0968968
## 50 PM909Q01_Cat1 0.9093645 -1.1823003 2.370866e-01 1.000000e+00 0.9180268
## 51 PM909Q02_Cat1 0.9067411 -3.5623986 3.674818e-04 1.102446e-02 0.9295843
## 52 PM909Q03_Cat1 0.7395584 -12.7473372 3.225766e-37 2.709643e-35 0.8099073
## 53 PM915Q01_Cat1 1.0267106 1.1971414 2.312514e-01 1.000000e+00 1.0201102
## 54 PM915Q02_Cat1 0.9798361 -0.8221055 4.110169e-01 1.000000e+00 0.9732967
## 55 PM918Q01_Cat1 1.7054547 13.4814804 2.010324e-41 1.728878e-39 1.1572518
## 56 PM918Q02_Cat1 1.6463630 9.1653530 4.938506e-20 3.506339e-18 1.0246035
## 57 PM918Q05_Cat1 1.0435183 0.8875277 3.747948e-01 1.000000e+00 1.0318006
## 58 PM919Q01_Cat1 1.1846990 3.5829155 3.397806e-04 1.053320e-02 0.9827130
## 59 PM919Q02_Cat1 1.2372885 9.7500269 1.844195e-22 1.401588e-20 1.1724305
## 60 PM923Q01_Cat1 1.0304426 1.3578678 1.745056e-01 1.000000e+00 1.0373010
## 61 PM923Q03_Cat1 1.1834473 8.0307384 9.688775e-16 6.103928e-14 1.1119426
## 62 PM923Q04_Cat1 0.7301270 -8.1889292 2.635606e-16 1.713144e-14 0.9170495
## 63 PM924Q02_Cat1 0.7578178 -9.7141785 2.623561e-22 1.967670e-20 0.8611843
## 64 PM943Q01_Cat1 1.1013559 4.0832353 4.441301e-05 1.732107e-03 1.0451408
## 65 PM943Q02_Cat1 0.6167227 -11.5313091 9.173808e-31 7.430784e-29 0.8440379
## 66 PM949Q01T_Cat1 0.8512245 -3.7176395 2.010929e-04 6.636066e-03 0.9180366
## 67 PM949Q02T_Cat1 0.9203201 -2.8580902 4.261993e-03 9.548509e-02 0.9385131
## 68 PM949Q03_Cat1 1.0900631 2.5911680 9.565079e-03 2.008667e-01 1.0496809
## 69 PM949Q03_Cat2 1.3273139 9.4789301 2.569036e-21 1.875396e-19 1.1532578
## 70 PM953Q02_Cat1 0.8315433 -7.8850125 3.145042e-15 1.855575e-13 0.8870735
## 71 PM953Q03_Cat1 0.8175635 -8.0332709 9.490782e-16 6.074101e-14 0.8501448
## 72 PM953Q04D_Cat1 0.7544201 -7.5377742 4.780607e-14 2.772752e-12 0.9361371
## 73 PM953Q04D_Cat2 0.7648155 -6.0453273 1.491070e-09 7.753564e-08 0.9996884
## 74 PM954Q01_Cat1 0.7904150 -7.0701554 1.547603e-12 8.511818e-11 0.8681969
## 75 PM954Q02_Cat1 0.8891070 -4.8969388 9.734111e-07 4.088327e-05 0.9185050
## 76 PM954Q04_Cat1 0.7928335 -8.9566974 3.345482e-19 2.341837e-17 0.9078457
## 77 PM955Q01_Cat1 1.4807843 12.7364804 3.707464e-37 3.077195e-35 1.1544534
## 78 PM955Q02_Cat1 0.9773333 -0.9492097 3.425140e-01 1.000000e+00 1.0109534
## 79 PM955Q03_Cat1 0.9928089 -0.1830373 8.547688e-01 1.000000e+00 1.0615546
## 80 PM955Q03_Cat2 0.7660791 -5.4982614 3.835540e-08 1.802704e-06 1.0746601
## 81 PM982Q01_Cat1 1.5108311 10.2450506 1.245596e-24 9.591092e-23 1.0989354
## 82 PM982Q02_Cat1 1.2740165 11.5050119 1.244722e-30 9.957778e-29 1.2163832
## 83 PM982Q03T_Cat1 1.4111832 11.8806197 1.492567e-32 1.223905e-30 1.1278759
## 84 PM982Q04_Cat1 0.9151559 -2.9233629 3.462727e-03 9.003090e-02 0.9360951
## 85 PM992Q01_Cat1 0.8128833 -3.8794318 1.047007e-04 3.664526e-03 0.9395036
## 86 PM992Q02_Cat1 0.8907740 -5.2655698 1.397552e-07 6.149230e-06 0.9235102
## 87 PM992Q03_Cat1 0.7024784 -8.8605796 7.959953e-19 5.492368e-17 0.9068513
## 88 PM995Q01_Cat1 0.8032350 -7.1240524 1.047992e-12 5.868755e-11 0.8753030
## 89 PM995Q02_Cat1 0.8169602 -2.9117271 3.594365e-03 9.003090e-02 0.9329113
## 90 PM995Q03_Cat1 1.0377081 1.7133525 8.664771e-02 1.000000e+00 1.0110757
## 91 PM998Q02_Cat1 1.4304420 8.6372279 5.759344e-18 3.916354e-16 1.0855525
## Infit_t Infit_p Infit_pholm
## 1 -2.514236576 1.192904e-02 5.606648e-01
## 2 -3.612660732 3.030711e-04 1.818427e-02
## 3 0.207433487 8.356713e-01 1.000000e+00
## 4 2.229413189 2.578643e-02 1.000000e+00
## 5 1.114102993 2.652350e-01 1.000000e+00
## 6 -1.228543700 2.192429e-01 1.000000e+00
## 7 5.642433223 1.676636e-08 1.341309e-06
## 8 7.248283749 4.220857e-13 3.587728e-11
## 9 -2.598466172 9.364127e-03 4.588422e-01
## 10 1.785990095 7.410086e-02 1.000000e+00
## 11 6.634329006 3.259820e-11 2.673052e-09
## 12 1.287993197 1.977483e-01 1.000000e+00
## 13 3.654120524 2.580650e-04 1.625810e-02
## 14 11.176494482 5.314813e-29 4.783331e-27
## 15 -4.658363386 3.187332e-06 2.358626e-04
## 16 -9.536228219 1.481217e-21 1.318283e-19
## 17 2.788970003 5.287596e-03 2.802426e-01
## 18 2.265674822 2.347130e-02 1.000000e+00
## 19 0.947395793 3.434371e-01 1.000000e+00
## 20 11.205267078 3.841933e-29 3.496159e-27
## 21 3.092807160 1.982729e-03 1.090501e-01
## 22 -2.116435341 3.430780e-02 1.000000e+00
## 23 -3.617185171 2.978242e-04 1.816728e-02
## 24 -2.606031562 9.159802e-03 4.579901e-01
## 25 -0.240976819 8.095731e-01 1.000000e+00
## 26 -1.720946737 8.526049e-02 1.000000e+00
## 27 1.584918555 1.129848e-01 1.000000e+00
## 28 -4.386128908 1.153858e-05 8.307774e-04
## 29 1.472157060 1.409785e-01 1.000000e+00
## 30 -2.812196847 4.920438e-03 2.657037e-01
## 31 -1.212465195 2.253344e-01 1.000000e+00
## 32 -0.069816257 9.443399e-01 1.000000e+00
## 33 5.406122283 6.440383e-08 5.087903e-06
## 34 2.681009313 7.340047e-03 3.816825e-01
## 35 -2.199790224 2.782178e-02 1.000000e+00
## 36 1.243817198 2.135668e-01 1.000000e+00
## 37 0.088198217 9.297191e-01 1.000000e+00
## 38 -4.012523488 6.007310e-05 4.024898e-03
## 39 -1.782488558 7.466960e-02 1.000000e+00
## 40 3.792867770 1.489175e-04 9.530718e-03
## 41 -0.191519421 8.481187e-01 1.000000e+00
## 42 3.544887196 3.927811e-04 2.278131e-02
## 43 1.391100991 1.641948e-01 1.000000e+00
## 44 -4.068245537 4.736845e-05 3.221055e-03
## 45 0.786911359 4.313338e-01 1.000000e+00
## 46 -8.624891620 6.415338e-18 5.517191e-16
## 47 -1.930773090 5.351112e-02 1.000000e+00
## 48 -6.820620456 9.064814e-12 7.523796e-10
## 49 3.192130388 1.412276e-03 7.908744e-02
## 50 -1.056964443 2.905278e-01 1.000000e+00
## 51 -2.665374258 7.690268e-03 3.922037e-01
## 52 -9.038861348 1.583122e-19 1.377316e-17
## 53 0.904480088 3.657409e-01 1.000000e+00
## 54 -1.091660209 2.749825e-01 1.000000e+00
## 55 3.465284366 5.296711e-04 3.019125e-02
## 56 0.430568716 6.667820e-01 1.000000e+00
## 57 0.660937626 5.086523e-01 1.000000e+00
## 58 -0.341801196 7.325005e-01 1.000000e+00
## 59 7.220122838 5.194063e-13 4.363013e-11
## 60 1.663042688 9.630389e-02 1.000000e+00
## 61 5.007826281 5.504818e-07 4.183662e-05
## 62 -2.332576058 1.967041e-02 9.048387e-01
## 63 -5.343774681 9.103071e-08 7.100396e-06
## 64 1.856428827 6.339246e-02 1.000000e+00
## 65 -4.254874619 2.091662e-05 1.443247e-03
## 66 -1.987717073 4.684299e-02 1.000000e+00
## 67 -2.180763490 2.920091e-02 1.000000e+00
## 68 1.461236465 1.439506e-01 1.000000e+00
## 69 4.694283445 2.675429e-06 2.006571e-04
## 70 -5.173218778 2.300953e-07 1.771734e-05
## 71 -6.514904205 7.273606e-11 5.891621e-09
## 72 -1.818945204 6.891979e-02 1.000000e+00
## 73 0.007472419 9.940379e-01 1.000000e+00
## 74 -4.306178214 1.660993e-05 1.162695e-03
## 75 -3.562186330 3.677792e-04 2.169897e-02
## 76 -3.810081336 1.389211e-04 9.029870e-03
## 77 4.476899939 7.573472e-06 5.528635e-04
## 78 0.457404535 6.473803e-01 1.000000e+00
## 79 1.498759710 1.339360e-01 1.000000e+00
## 80 1.585675004 1.128131e-01 1.000000e+00
## 81 2.233209553 2.553513e-02 1.000000e+00
## 82 9.235387821 2.573520e-20 2.264698e-18
## 83 4.003423238 6.243246e-05 4.120543e-03
## 84 -2.182625855 2.906337e-02 1.000000e+00
## 85 -1.184543520 2.361980e-01 1.000000e+00
## 86 -3.639563743 2.731003e-04 1.693222e-02
## 87 -2.549460869 1.078896e-02 5.178702e-01
## 88 -4.385094432 1.159355e-05 8.307774e-04
## 89 -1.006192532 3.143230e-01 1.000000e+00
## 90 0.512864884 6.080458e-01 1.000000e+00
## 91 1.901258904 5.726811e-02 1.000000e+00
ctt1 <- tam.ctt(JPN2012m, wlescore = wle1$theta)
## |**********| Group 1
## |----------|
View(ctt1)
ctt1$rpb.WLE
## [1] -0.55264330 0.55264330 -0.51722857 0.51722857 -0.33905856 0.33905856
## [7] -0.29143290 0.29143290 -0.47657465 0.47657465 -0.46045620 0.46045620
## [13] -0.53643024 -0.03334447 0.51981567 -0.61821286 0.23870994 0.52328958
## [19] -0.37251323 0.37251323 -0.48538058 0.48538058 -0.42602005 0.42602005
## [25] -0.29352832 0.29352832 -0.58874573 0.58874573 -0.65879030 0.65879030
## [31] -0.44922914 0.44922914 -0.45254533 0.45254533 -0.48211312 0.48211312
## [37] -0.30553407 0.30553407 -0.34176590 0.34176590 -0.52277965 0.52277965
## [43] -0.53966185 0.53966185 -0.47413200 0.47413200 -0.40563093 0.40563093
## [49] -0.51189305 0.31829704 0.37592032 -0.56883386 0.56883386 -0.26519552
## [55] 0.26519552 -0.54999599 0.54999599 -0.48895134 0.48895134 -0.49080288
## [61] 0.49080288 -0.41205030 0.41205030 -0.46509466 0.46509466 -0.54144292
## [67] 0.54144292 -0.49188681 0.49188681 -0.25996396 0.25996396 -0.56270847
## [73] 0.56270847 -0.52887876 0.52887876 -0.44485019 0.44485019 -0.34196100
## [79] 0.34196100 -0.58872460 0.04550045 0.59845291 -0.55901641 0.55901641
## [85] -0.39157359 0.39157359 -0.65843193 0.65843193 -0.53808494 0.53808494
## [91] -0.68657492 0.24898072 0.51249486 -0.36351250 0.36351250 -0.53986096
## [97] 0.53986096 -0.64455357 0.64455357 -0.49834127 0.49834127 -0.51666275
## [103] 0.51666275 -0.25799033 0.25799033 -0.28711192 0.28711192 -0.35939847
## [109] 0.35939847 -0.41129461 0.41129461 -0.39786326 0.39786326 -0.48120471
## [115] 0.48120471 -0.42096507 0.42096507 -0.48675637 0.48675637 -0.58530492
## [121] 0.58530492 -0.49522775 0.49522775 -0.52272193 0.52272193 -0.49051703
## [127] 0.49051703 -0.52675569 0.52675569 -0.62477769 0.01116665 0.58286148
## [133] -0.60640648 0.60640648 -0.62959382 0.62959382 -0.59884550 0.22449742
## [139] 0.53159036 -0.58619531 0.58619531 -0.58521612 0.58521612 -0.56285767
## [145] 0.56285767 -0.33111134 0.33111134 -0.48370537 0.48370537 -0.50922346
## [151] 0.14047584 0.48877723 -0.29483163 0.29483163 -0.34072161 0.34072161
## [157] -0.34541986 0.34541986 -0.51460899 0.51460899 -0.42751419 0.42751419
## [163] -0.56296414 0.56296414 -0.49548659 0.49548659 -0.56168072 0.56168072
## [169] -0.36294270 0.36294270 -0.49586259 0.49586259 -0.33330149 0.33330149