## Loading required package: multilevel
## Loading required package: nlme
## Loading required package: MASS
## skor01 skor02 skor03 skor04 skor05 skor06 skor07 skor08 skor09 skor10
## 1 0 0 0 0 0 0 0 0 0 0
## 2 0 1 0 1 0 1 1 0 0 1
## 3 0 0 0 0 0 1 0 0 0 0
## 4 0 0 0 0 0 0 0 0 0 0
## 5 1 0 1 0 0 1 0 0 0 0
## 6 1 1 1 0 0 0 0 0 0 0
## skor11 skor12 skor13 skor14 skor15 skor16 skor17 skor18 skor19 skor20
## 1 0 0 0 0 0 1 0 0 0 0
## 2 0 0 0 1 0 0 1 1 0 0
## 3 0 0 0 1 0 1 0 1 0 0
## 4 0 0 0 1 1 0 1 0 0 0
## 5 0 0 0 1 0 1 0 0 1 1
## 6 0 0 0 0 1 0 0 0 0 0
## skor21 skor22 skor23 skor24 skor25 skor26 skor27 skor28 skor29 skor30
## 1 0 0 0 0 0 0 0 0 0 0
## 2 1 0 1 0 0 1 0 0 1 0
## 3 1 0 0 0 0 0 0 1 0 1
## 4 0 1 0 0 0 1 0 0 0 0
## 5 0 0 0 0 0 1 1 0 0 1
## 6 0 0 0 0 0 0 0 0 0 1
## skor31 skor32 skor33 skor34 skor35 skor36 skor37 skor38 skor39 skor40
## 1 0 0 0 0 0 0 0 0 0 0
## 2 1 0 1 0 1 0 0 0 1 0
## 3 0 0 0 0 0 0 0 0 0 0
## 4 0 0 0 0 0 0 0 1 0 1
## 5 1 0 0 0 0 0 0 0 1 0
## 6 0 0 1 0 0 0 0 0 0 0
## skor41 skor42 skor43 skor44 skor45 skor46 skor47 skor48 skor49 skor50
## 1 0 1 0 0 0 0 0 1 0 0
## 2 0 0 0 0 0 0 0 0 1 0
## 3 0 1 1 0 0 1 0 0 0 0
## 4 0 0 0 0 0 0 0 0 1 0
## 5 1 0 1 1 0 1 0 0 1 1
## 6 1 0 1 0 0 0 1 0 0 0
## Sample.SD Item.total Item.Tot.woi Difficulty Discrimination
## skor01 0.4081972 0.1864848 0.09611859 0.2112055 0.1598039
## skor02 0.4231450 0.2169167 0.12395975 0.2335838 0.2039216
## skor03 0.4186397 0.2005915 0.10820797 0.2265599 0.1730392
## skor04 0.4316718 0.2088178 0.11371706 0.2476315 0.1828431
## skor05 0.4289648 0.2034022 0.10876633 0.2430578 0.2004902
## skor06 0.3871894 0.1885027 0.10290987 0.1836001 0.1519608
## skor07 0.4379777 0.1802919 0.08307289 0.2587390 0.1754902
## skor08 0.4289648 0.2033167 0.10867863 0.2430578 0.1784314
## skor09 0.4425511 0.2432197 0.14674526 0.2672329 0.2372549
## skor10 0.4400266 0.2069796 0.10994763 0.2624959 0.1897059
## skor11 0.4464231 0.2134069 0.11511386 0.2747468 0.1848039
## skor12 0.3567319 0.1992473 0.12073367 0.1496243 0.1470588
## skor13 0.4373458 0.2118915 0.11559882 0.2575956 0.2029412
## skor14 0.4344070 0.1992871 0.10331931 0.2523685 0.1852941
## skor15 0.4412535 0.1574100 0.05901189 0.2647828 0.1524510
## skor16 0.4461754 0.2041032 0.10560822 0.2742568 0.1867647
## skor17 0.4405543 0.2178266 0.12098283 0.2634760 0.2063725
## skor18 0.4295504 0.2175770 0.12319991 0.2440379 0.1931373
## skor19 0.4263917 0.2305986 0.13732502 0.2388108 0.2147059
## skor20 0.4432361 0.1815521 0.08317293 0.2685397 0.1887255
## skor21 0.4361619 0.1959475 0.09950046 0.2554721 0.1774510
## skor22 0.4076180 0.2064112 0.11665550 0.2103888 0.1833333
## skor23 0.4328120 0.2104380 0.11512513 0.2495916 0.1960784
## skor24 0.4241692 0.1965846 0.10285613 0.2352172 0.1769608
## skor25 0.4333777 0.2011367 0.10544815 0.2505717 0.1813725
## skor26 0.4436617 0.2147187 0.11708505 0.2693564 0.2039216
## skor27 0.4297449 0.2053433 0.11058285 0.2443646 0.1955882
## skor28 0.4313849 0.2298952 0.13547978 0.2471415 0.2088235
## skor29 0.4223192 0.2214146 0.12877387 0.2322770 0.2049020
## skor30 0.4061007 0.1902531 0.10044386 0.2082653 0.1759804
## skor31 0.4369829 0.2052256 0.10883210 0.2569422 0.1980392
## skor32 0.4507662 0.2310990 0.13237192 0.2835675 0.2132353
## skor33 0.3980093 0.1889358 0.10091820 0.1973211 0.1539216
## skor34 0.4358867 0.2293271 0.13388370 0.2549820 0.2093137
## skor35 0.4116209 0.2086769 0.11808137 0.2161058 0.1789216
## skor36 0.4045665 0.2357005 0.14747285 0.2061418 0.2093137
## skor37 0.4110563 0.1996489 0.10894822 0.2152891 0.1740196
## skor38 0.4411664 0.1842127 0.08635978 0.2646194 0.1750000
## skor39 0.4401148 0.2309219 0.13458066 0.2626593 0.2294118
## skor40 0.4340339 0.2351469 0.14030692 0.2517151 0.2318627
## skor41 0.4304231 0.1946436 0.09945831 0.2455080 0.1818627
## skor42 0.4379777 0.2253316 0.12929358 0.2587390 0.2073529
## skor43 0.4131891 0.2103153 0.11941132 0.2183927 0.1862745
## skor44 0.4395848 0.2250856 0.12867899 0.2616792 0.2191176
## skor45 0.4049221 0.2111040 0.12207794 0.2066318 0.1843137
## skor46 0.4442543 0.2146133 0.11684324 0.2704998 0.2053922
## skor47 0.4264918 0.2049151 0.11087561 0.2389742 0.1911765
## skor48 0.4313849 0.2020164 0.10679946 0.2471415 0.1794118
## skor49 0.4344070 0.2185314 0.12309064 0.2523685 0.2073529
## skor50 0.4257897 0.2197894 0.12632169 0.2378308 0.1931373
## Item.Criterion Item.Reliab Item.Rel.woi Item.Validity
## skor01 NA 0.07611637 0.03923213 NA
## skor02 NA 0.09177973 0.05244866 NA
## skor03 NA 0.08396871 0.04529645 NA
## skor04 NA 0.09013342 0.04908444 NA
## skor05 NA 0.08724526 0.04665311 NA
## skor06 NA 0.07298027 0.03984235 NA
## skor07 NA 0.07895736 0.03638110 NA
## skor08 NA 0.08720859 0.04661549 NA
## skor09 NA 0.10762838 0.06493697 NA
## skor10 NA 0.09106908 0.04837593 NA
## skor11 NA 0.09526199 0.05138529 NA
## skor12 NA 0.07107206 0.04306603 NA
## skor13 NA 0.09266227 0.05055253 NA
## skor14 NA 0.08656464 0.04487897 NA
## skor15 NA 0.06945204 0.02603707 NA
## skor16 NA 0.09105840 0.04711594 NA
## skor17 NA 0.09595661 0.05329515 NA
## skor18 NA 0.09345266 0.05291625 NA
## skor19 NA 0.09831731 0.05854947 NA
## skor20 NA 0.08046387 0.03686223 NA
## skor21 NA 0.08545785 0.04339476 NA
## skor22 NA 0.08413005 0.04754700 NA
## skor23 NA 0.09107266 0.04982347 NA
## skor24 NA 0.08337831 0.04362484 NA
## skor25 NA 0.08716103 0.04569514 NA
## skor26 NA 0.09525467 0.05194191 NA
## skor27 NA 0.08823805 0.04751854 NA
## skor28 NA 0.09916522 0.05843916 NA
## skor29 NA 0.09350001 0.05437924 NA
## skor30 NA 0.07725560 0.04078699 NA
## skor31 NA 0.08967278 0.04755389 NA
## skor32 NA 0.10416313 0.05966391 NA
## skor33 NA 0.07519204 0.04016310 NA
## skor34 NA 0.09995246 0.05835336 NA
## skor35 NA 0.08588876 0.04860079 NA
## skor36 NA 0.09534876 0.05965771 NA
## skor37 NA 0.08206024 0.04478020 NA
## skor38 NA 0.08126180 0.03809592 NA
## skor39 NA 0.10162385 0.05922610 NA
## skor40 NA 0.10205338 0.06089298 NA
## skor41 NA 0.08377225 0.04280566 NA
## skor42 NA 0.09868214 0.05662308 NA
## skor43 NA 0.08689288 0.04933542 NA
## skor44 NA 0.09893611 0.05656070 NA
## skor45 NA 0.08547371 0.04942801 NA
## skor46 NA 0.09533510 0.05190388 NA
## skor47 NA 0.08738747 0.04728367 NA
## skor48 NA 0.08713970 0.04606791 NA
## skor49 NA 0.09492384 0.05346707 NA
## skor50 NA 0.09357644 0.05378209 NA
## LCL ALPHA UCL
## 1 0.5339858 0.5502298 0.5661781
## Loading required package: msm
## Loading required package: polycor
## Loading required package: mvtnorm
## Loading required package: sfsmisc
##
## Attaching package: 'polycor'
## The following object is masked from 'package:CTT':
##
## polyserial
##
## Call:
## rasch(data = datalc, constraint = cbind(ncol(datalc) + 1, 1))
##
## Coefficients:
## Dffclt.skor01 Dffclt.skor02 Dffclt.skor03 Dffclt.skor04 Dffclt.skor05
## 1.405 1.269 1.310 1.187 1.213
## Dffclt.skor06 Dffclt.skor07 Dffclt.skor08 Dffclt.skor09 Dffclt.skor10
## 1.588 1.125 1.213 1.079 1.105
## Dffclt.skor11 Dffclt.skor12 Dffclt.skor13 Dffclt.skor14 Dffclt.skor15
## 1.039 1.843 1.132 1.161 1.092
## Dffclt.skor16 Dffclt.skor17 Dffclt.skor18 Dffclt.skor19 Dffclt.skor20
## 1.041 1.099 1.208 1.238 1.072
## Dffclt.skor21 Dffclt.skor22 Dffclt.skor23 Dffclt.skor24 Dffclt.skor25
## 1.143 1.410 1.176 1.259 1.171
## Dffclt.skor26 Dffclt.skor27 Dffclt.skor28 Dffclt.skor29 Dffclt.skor30
## 1.068 1.206 1.190 1.276 1.423
## Dffclt.skor31 Dffclt.skor32 Dffclt.skor33 Dffclt.skor34 Dffclt.skor35
## 1.135 0.992 1.494 1.146 1.374
## Dffclt.skor36 Dffclt.skor37 Dffclt.skor38 Dffclt.skor39 Dffclt.skor40
## 1.437 1.380 1.093 1.104 1.164
## Dffclt.skor41 Dffclt.skor42 Dffclt.skor43 Dffclt.skor44 Dffclt.skor45
## 1.199 1.125 1.360 1.109 1.433
## Dffclt.skor46 Dffclt.skor47 Dffclt.skor48 Dffclt.skor49 Dffclt.skor50
## 1.061 1.237 1.190 1.161 1.244
## Dscrmn
## 1.000
##
## Log.Lik: -169811.6
##
## Call:
## rasch(data = datalc, constraint = cbind(ncol(datalc) + 1, 1))
##
## Total Information = 49.99
## Information in (-10, 10) = 49.99 (100%)
## Based on all the items
##
## Item-Fit Statistics and P-values
##
## Call:
## rasch(data = datalc, constraint = cbind(ncol(datalc) + 1, 1))
##
## Alternative: Items do not fit the model
## Ability Categories: 10
##
## X^2 Pr(>X^2)
## skor01 16.5477 0.0563
## skor02 20.6475 0.0143
## skor03 16.9827 0.049
## skor04 14.4019 0.1087
## skor05 15.1479 0.087
## skor06 14.0324 0.1212
## skor07 6.2067 0.7191
## skor08 16.1476 0.0639
## skor09 39.3486 <0.0001
## skor10 28.6185 0.0008
## skor11 22.6006 0.0072
## skor12 23.1966 0.0058
## skor13 15.6437 0.0747
## skor14 11.6094 0.2362
## skor15 19.1893 0.0236
## skor16 12.4298 0.1902
## skor17 14.6224 0.1018
## skor18 23.5762 0.005
## skor19 25.3791 0.0026
## skor20 8.9990 0.4374
## skor21 8.3657 0.4978
## skor22 19.3353 0.0225
## skor23 15.9451 0.068
## skor24 17.7008 0.0388
## skor25 12.4045 0.1915
## skor26 15.7306 0.0727
## skor27 20.4924 0.0151
## skor28 19.4253 0.0218
## skor29 28.3228 0.0008
## skor30 15.5363 0.0772
## skor31 10.9733 0.2775
## skor32 24.9034 0.0031
## skor33 12.0412 0.211
## skor34 28.1586 0.0009
## skor35 29.7668 0.0005
## skor36 40.5822 <0.0001
## skor37 11.0739 0.2707
## skor38 7.7454 0.56
## skor39 32.2416 0.0002
## skor40 37.8539 <0.0001
## skor41 13.3329 0.1481
## skor42 20.1716 0.0169
## skor43 17.6555 0.0394
## skor44 20.9048 0.0131
## skor45 18.5981 0.0288
## skor46 18.6743 0.0281
## skor47 11.5364 0.2407
## skor48 14.3941 0.109
## skor49 16.9810 0.049
## skor50 27.1643 0.0013
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## -1.66400 -0.26490 0.05808 0.02333 0.33860 1.98300
## [1] 0.4541373
##
## Call:
## rasch(data = datalc)
##
## Model Summary:
## log.Lik AIC BIC
## -167688.8 335479.5 335822.2
##
## Coefficients:
## value std.err z.vals
## Dffclt.skor01 3.7086 0.1066 34.7739
## Dffclt.skor02 3.3454 0.1008 33.1781
## Dffclt.skor03 3.4563 0.1026 33.6989
## Dffclt.skor04 3.1302 0.0976 32.0777
## Dffclt.skor05 3.1999 0.0986 32.4477
## Dffclt.skor06 4.1982 0.1151 36.4692
## Dffclt.skor07 2.9674 0.0952 31.1620
## Dffclt.skor08 3.1999 0.0986 32.4477
## Dffclt.skor09 2.8435 0.0935 30.4144
## Dffclt.skor10 2.9119 0.0944 30.8326
## Dffclt.skor11 2.7446 0.0921 29.7846
## Dffclt.skor12 4.8781 0.1280 38.1074
## Dffclt.skor13 2.9825 0.0954 31.2500
## Dffclt.skor14 3.0581 0.0965 31.6812
## Dffclt.skor15 2.8786 0.0940 30.6304
## Dffclt.skor16 2.7512 0.0922 29.8272
## Dffclt.skor17 2.8963 0.0942 30.7382
## Dffclt.skor18 3.1848 0.0984 32.3685
## Dffclt.skor19 3.2647 0.0996 32.7799
## Dffclt.skor20 2.8230 0.0932 30.2859
## Dffclt.skor21 3.0121 0.0959 31.4209
## Dffclt.skor22 3.7221 0.1069 34.8276
## Dffclt.skor23 3.1003 0.0971 31.9152
## Dffclt.skor24 3.3194 0.1004 33.0518
## Dffclt.skor25 3.0854 0.0969 31.8329
## Dffclt.skor26 2.8094 0.0930 30.2003
## Dffclt.skor27 3.1801 0.0983 32.3436
## Dffclt.skor28 3.1373 0.0977 32.1162
## Dffclt.skor29 3.3660 0.1011 33.2770
## Dffclt.skor30 3.7578 0.1075 34.9670
## Dffclt.skor31 2.9917 0.0956 31.3031
## Dffclt.skor32 2.6169 0.0905 28.9276
## Dffclt.skor33 3.9492 0.1107 35.6678
## Dffclt.skor34 3.0206 0.0960 31.4695
## Dffclt.skor35 3.6268 0.1053 34.4414
## Dffclt.skor36 3.7939 0.1081 35.1048
## Dffclt.skor37 3.6402 0.1055 34.4972
## Dffclt.skor38 2.8783 0.0940 30.6288
## Dffclt.skor39 2.9077 0.0944 30.8075
## Dffclt.skor40 3.0688 0.0967 31.7407
## Dffclt.skor41 3.1629 0.0981 32.2528
## Dffclt.skor42 2.9660 0.0952 31.1535
## Dffclt.skor43 3.5890 0.1047 34.2829
## Dffclt.skor44 2.9227 0.0946 30.8975
## Dffclt.skor45 3.7845 0.1079 35.0692
## Dffclt.skor46 2.7955 0.0928 30.1125
## Dffclt.skor47 3.2620 0.0996 32.7661
## Dffclt.skor48 3.1378 0.0977 32.1187
## Dffclt.skor49 3.0587 0.0965 31.6845
## Dffclt.skor50 3.2797 0.0998 32.8549
## Dscrmn 0.3655 0.0062 58.5371
##
## Integration:
## method: Gauss-Hermite
## quadrature points: 21
##
## Optimization:
## Convergence: 0
## max(|grad|): 3.8
## quasi-Newton: BFGS
##
## Call:
## rasch(data = datalc)
##
## Total Information = 16.7
## Information in (-10, 10) = 16.7 (100%)
## Based on all the items
##
## Call:
## rasch(data = datalc)
##
## Total Information = 16.7
## Information in (0, 10) = 12.53 (75.02%)
## Based on all the items
##
## Item-Fit Statistics and P-values
##
## Call:
## rasch(data = datalc, constraint = cbind(ncol(datalc) + 1, 1))
##
## Alternative: Items do not fit the model
## Ability Categories: 10
##
## X^2 Pr(>X^2)
## skor01 16.5477 0.0563
## skor02 20.6475 0.0143
## skor03 16.9827 0.049
## skor04 14.4019 0.1087
## skor05 15.1479 0.087
## skor06 14.0324 0.1212
## skor07 6.2067 0.7191
## skor08 16.1476 0.0639
## skor09 39.3486 <0.0001
## skor10 28.6185 0.0008
## skor11 22.6006 0.0072
## skor12 23.1966 0.0058
## skor13 15.6437 0.0747
## skor14 11.6094 0.2362
## skor15 19.1893 0.0236
## skor16 12.4298 0.1902
## skor17 14.6224 0.1018
## skor18 23.5762 0.005
## skor19 25.3791 0.0026
## skor20 8.9990 0.4374
## skor21 8.3657 0.4978
## skor22 19.3353 0.0225
## skor23 15.9451 0.068
## skor24 17.7008 0.0388
## skor25 12.4045 0.1915
## skor26 15.7306 0.0727
## skor27 20.4924 0.0151
## skor28 19.4253 0.0218
## skor29 28.3228 0.0008
## skor30 15.5363 0.0772
## skor31 10.9733 0.2775
## skor32 24.9034 0.0031
## skor33 12.0412 0.211
## skor34 28.1586 0.0009
## skor35 29.7668 0.0005
## skor36 40.5822 <0.0001
## skor37 11.0739 0.2707
## skor38 7.7454 0.56
## skor39 32.2416 0.0002
## skor40 37.8539 <0.0001
## skor41 13.3329 0.1481
## skor42 20.1716 0.0169
## skor43 17.6555 0.0394
## skor44 20.9048 0.0131
## skor45 18.5981 0.0288
## skor46 18.6743 0.0281
## skor47 11.5364 0.2407
## skor48 14.3941 0.109
## skor49 16.9810 0.049
## skor50 27.1643 0.0013
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## -2.00400 -0.47900 0.03117 0.02275 0.51570 3.52500
##
## Call:
## ltm(formula = datalc ~ z1)
##
## Model Summary:
## log.Lik AIC BIC
## -167640.6 335481.2 336153.2
##
## Coefficients:
## value std.err z.vals
## Dffclt.skor01 4.2639 0.5748 7.4176
## Dffclt.skor02 2.9939 0.3045 9.8333
## Dffclt.skor03 3.5911 0.4280 8.3896
## Dffclt.skor04 3.1892 0.3638 8.7656
## Dffclt.skor05 3.4226 0.4117 8.3128
## Dffclt.skor06 4.1112 0.4907 8.3784
## Dffclt.skor07 4.1649 0.6486 6.4213
## Dffclt.skor08 3.4121 0.4097 8.3274
## Dffclt.skor09 2.2749 0.2018 11.2729
## Dffclt.skor10 3.1120 0.3683 8.4507
## Dffclt.skor11 2.8637 0.3282 8.7261
## Dffclt.skor12 3.8460 0.3915 9.8235
## Dffclt.skor13 2.9378 0.3212 9.1451
## Dffclt.skor14 3.4329 0.4296 7.9915
## Dffclt.skor15 5.9212 1.3449 4.4027
## Dffclt.skor16 3.1676 0.4008 7.9033
## Dffclt.skor17 2.8509 0.3103 9.1860
## Dffclt.skor18 2.9606 0.3092 9.5760
## Dffclt.skor19 2.6829 0.2486 10.7939
## Dffclt.skor20 4.0516 0.6392 6.3381
## Dffclt.skor21 3.5241 0.4584 7.6871
## Dffclt.skor22 3.3445 0.3519 9.5055
## Dffclt.skor23 3.0537 0.3367 9.0703
## Dffclt.skor24 3.6692 0.4605 7.9676
## Dffclt.skor25 3.4750 0.4376 7.9418
## Dffclt.skor26 2.8804 0.3250 8.8634
## Dffclt.skor27 3.2787 0.3796 8.6378
## Dffclt.skor28 2.6974 0.2599 10.3772
## Dffclt.skor29 3.0018 0.3045 9.8589
## Dffclt.skor30 3.9565 0.4892 8.0884
## Dffclt.skor31 3.2433 0.3909 8.2964
## Dffclt.skor32 2.3588 0.2332 10.1128
## Dffclt.skor33 4.2071 0.5354 7.8587
## Dffclt.skor34 2.7003 0.2693 10.0263
## Dffclt.skor35 3.3665 0.3620 9.3007
## Dffclt.skor36 2.7298 0.2291 11.9167
## Dffclt.skor37 3.6019 0.4150 8.6798
## Dffclt.skor38 3.8922 0.5804 6.7066
## Dffclt.skor39 2.5558 0.2487 10.2760
## Dffclt.skor40 2.4907 0.2258 11.0306
## Dffclt.skor41 3.6166 0.4641 7.7926
## Dffclt.skor42 2.7177 0.2770 9.8126
## Dffclt.skor43 3.2816 0.3463 9.4763
## Dffclt.skor44 2.7021 0.2767 9.7638
## Dffclt.skor45 3.2626 0.3291 9.9141
## Dffclt.skor46 2.9134 0.3344 8.7114
## Dffclt.skor47 3.4144 0.4039 8.4525
## Dffclt.skor48 3.2949 0.3881 8.4888
## Dffclt.skor49 2.8647 0.2991 9.5770
## Dffclt.skor50 3.0650 0.3243 9.4518
## Dscrmn.skor01 0.3157 0.0437 7.2244
## Dscrmn.skor02 0.4115 0.0435 9.4568
## Dscrmn.skor03 0.3511 0.0431 8.1399
## Dscrmn.skor04 0.3584 0.0420 8.5288
## Dscrmn.skor05 0.3404 0.0420 8.1016
## Dscrmn.skor06 0.3735 0.0464 8.0563
## Dscrmn.skor07 0.2565 0.0405 6.3369
## Dscrmn.skor08 0.3415 0.0421 8.1140
## Dscrmn.skor09 0.4646 0.0427 10.8705
## Dscrmn.skor10 0.3406 0.0412 8.2688
## Dscrmn.skor11 0.3482 0.0407 8.5606
## Dscrmn.skor12 0.4715 0.0512 9.2163
## Dscrmn.skor13 0.3714 0.0417 8.9034
## Dscrmn.skor14 0.3238 0.0414 7.8191
## Dscrmn.skor15 0.1737 0.0397 4.3770
## Dscrmn.skor16 0.3141 0.0404 7.7777
## Dscrmn.skor17 0.3717 0.0415 8.9567
## Dscrmn.skor18 0.3950 0.0427 9.2586
## Dscrmn.skor19 0.4512 0.0437 10.3243
## Dscrmn.skor20 0.2509 0.0400 6.2664
## Dscrmn.skor21 0.3101 0.0411 7.5381
## Dscrmn.skor22 0.4096 0.0450 9.1026
## Dscrmn.skor23 0.3715 0.0422 8.8116
## Dscrmn.skor24 0.3290 0.0424 7.7672
## Dscrmn.skor25 0.3226 0.0415 7.7687
## Dscrmn.skor26 0.3563 0.0411 8.6724
## Dscrmn.skor27 0.3538 0.0421 8.4043
## Dscrmn.skor28 0.4297 0.0430 9.9858
## Dscrmn.skor29 0.4130 0.0436 9.4764
## Dscrmn.skor30 0.3462 0.0442 7.8357
## Dscrmn.skor31 0.3357 0.0414 8.1123
## Dscrmn.skor32 0.4077 0.0412 9.8932
## Dscrmn.skor33 0.3418 0.0449 7.6107
## Dscrmn.skor34 0.4120 0.0425 9.6966
## Dscrmn.skor35 0.3956 0.0442 8.9404
## Dscrmn.skor36 0.5220 0.0469 11.1323
## Dscrmn.skor37 0.3696 0.0441 8.3807
## Dscrmn.skor38 0.2668 0.0403 6.6174
## Dscrmn.skor39 0.4197 0.0422 9.9544
## Dscrmn.skor40 0.4575 0.0432 10.5827
## Dscrmn.skor41 0.3174 0.0416 7.6218
## Dscrmn.skor42 0.4011 0.0422 9.5161
## Dscrmn.skor43 0.4020 0.0442 9.1021
## Dscrmn.skor44 0.3974 0.0419 9.4836
## Dscrmn.skor45 0.4284 0.0453 9.4548
## Dscrmn.skor46 0.3499 0.0410 8.5320
## Dscrmn.skor47 0.3483 0.0424 8.2218
## Dscrmn.skor48 0.3471 0.0420 8.2711
## Dscrmn.skor49 0.3920 0.0422 9.2838
## Dscrmn.skor50 0.3928 0.0430 9.1273
##
## Integration:
## method: Gauss-Hermite
## quadrature points: 21
##
## Optimization:
## Convergence: 0
## max(|grad|): 9.1e-06
## quasi-Newton: BFGS
##
## Call:
## ltm(formula = datalc ~ z1)
##
## Total Information = 16.77
## Information in (-10, 10) = 16.77 (100%)
## Based on all the items
##
## Item-Fit Statistics and P-values
##
## Call:
## ltm(formula = datalc ~ z1)
##
## Alternative: Items do not fit the model
## Ability Categories: 10
##
## X^2 Pr(>X^2)
## skor01 51.8315 <0.0001
## skor02 72.7231 <0.0001
## skor03 59.0809 <0.0001
## skor04 61.5877 <0.0001
## skor05 59.9381 <0.0001
## skor06 58.7053 <0.0001
## skor07 38.2362 <0.0001
## skor08 61.8397 <0.0001
## skor09 109.4856 <0.0001
## skor10 55.9985 <0.0001
## skor11 80.2816 <0.0001
## skor12 64.7078 <0.0001
## skor13 61.5914 <0.0001
## skor14 50.2915 <0.0001
## skor15 35.4129 <0.0001
## skor16 57.7286 <0.0001
## skor17 68.7771 <0.0001
## skor18 69.9809 <0.0001
## skor19 90.5391 <0.0001
## skor20 48.7117 <0.0001
## skor21 53.0474 <0.0001
## skor22 69.4079 <0.0001
## skor23 76.4100 <0.0001
## skor24 51.3360 <0.0001
## skor25 52.7080 <0.0001
## skor26 68.7355 <0.0001
## skor27 61.2772 <0.0001
## skor28 81.0250 <0.0001
## skor29 70.6299 <0.0001
## skor30 55.8805 <0.0001
## skor31 56.7698 <0.0001
## skor32 81.3932 <0.0001
## skor33 46.9937 <0.0001
## skor34 84.7318 <0.0001
## skor35 62.0497 <0.0001
## skor36 116.2022 <0.0001
## skor37 55.4108 <0.0001
## skor38 40.4917 <0.0001
## skor39 94.3991 <0.0001
## skor40 109.6896 <0.0001
## skor41 56.2146 <0.0001
## skor42 83.0668 <0.0001
## skor43 69.3788 <0.0001
## skor44 84.5433 <0.0001
## skor45 76.7428 <0.0001
## skor46 66.9033 <0.0001
## skor47 55.1686 <0.0001
## skor48 60.4469 <0.0001
## skor49 74.2555 <0.0001
## skor50 71.6892 <0.0001
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## -2.004000 -0.482500 -0.009452 0.023900 0.488200 3.440000
## Warning in tpm(datalc): Hessian matrix at convergence is not positive definite; unstable solution.
##
## Call:
## tpm(data = datalc)
##
## Model Summary:
## log.Lik AIC BIC
## -167656.2 335612.3 336620.3
##
## Coefficients:
## value std.err z.vals
## Gussng.skor01 0.2048 NaN NaN
## Gussng.skor02 0.0148 0.0378 0.3918
## Gussng.skor03 0.0165 NaN NaN
## Gussng.skor04 0.1147 NaN NaN
## Gussng.skor05 0.0087 0.0377 0.2306
## Gussng.skor06 0.0245 0.0315 0.7758
## Gussng.skor07 0.0345 NaN NaN
## Gussng.skor08 0.1835 0.0175 10.4743
## Gussng.skor09 0.0031 0.0146 0.2144
## Gussng.skor10 0.0061 NaN NaN
## Gussng.skor11 0.2184 0.0175 12.4708
## Gussng.skor12 0.0085 0.0116 0.7266
## Gussng.skor13 0.0115 NaN NaN
## Gussng.skor14 0.0277 NaN NaN
## Gussng.skor15 0.0432 NaN NaN
## Gussng.skor16 0.2143 0.0201 10.6435
## Gussng.skor17 0.0050 NaN NaN
## Gussng.skor18 0.0062 0.0210 0.2946
## Gussng.skor19 0.0037 0.0231 0.1595
## Gussng.skor20 0.0093 0.0260 0.3586
## Gussng.skor21 0.1635 NaN NaN
## Gussng.skor22 0.0220 0.0309 0.7103
## Gussng.skor23 0.0053 0.0330 0.1610
## Gussng.skor24 0.1482 0.0261 5.6688
## Gussng.skor25 0.1739 0.0242 7.1931
## Gussng.skor26 0.0011 0.0074 0.1473
## Gussng.skor27 0.0149 0.0714 0.2090
## Gussng.skor28 0.0092 0.0837 0.1097
## Gussng.skor29 0.0534 0.2307 0.2315
## Gussng.skor30 0.0019 NaN NaN
## Gussng.skor31 0.0042 0.0828 0.0512
## Gussng.skor32 0.0038 0.0127 0.2971
## Gussng.skor33 0.1859 0.0050 36.9048
## Gussng.skor34 0.0062 0.0572 0.1077
## Gussng.skor35 0.1335 0.0273 4.8864
## Gussng.skor36 0.0032 0.0088 0.3586
## Gussng.skor37 0.0776 NaN NaN
## Gussng.skor38 0.0402 0.0354 1.1342
## Gussng.skor39 0.0030 0.0189 0.1608
## Gussng.skor40 0.0010 0.0087 0.1174
## Gussng.skor41 0.0010 0.0148 0.0652
## Gussng.skor42 0.0103 NaN NaN
## Gussng.skor43 0.0998 0.0595 1.6762
## Gussng.skor44 0.0120 NaN NaN
## Gussng.skor45 0.0084 0.0250 0.3377
## Gussng.skor46 0.0937 0.0691 1.3552
## Gussng.skor47 0.1470 0.0318 4.6259
## Gussng.skor48 0.0441 0.0668 0.6604
## Gussng.skor49 0.0096 0.0286 0.3350
## Gussng.skor50 0.0847 0.0997 0.8488
## Dffclt.skor01 2.3768 NaN NaN
## Dffclt.skor02 2.9592 0.3044 9.7221
## Dffclt.skor03 3.6941 0.4607 8.0191
## Dffclt.skor04 2.9720 NaN NaN
## Dffclt.skor05 3.4128 0.4229 8.0709
## Dffclt.skor06 3.8245 0.4442 8.6090
## Dffclt.skor07 4.0960 0.6030 6.7927
## Dffclt.skor08 2.5897 0.2266 11.4270
## Dffclt.skor09 2.2347 0.2015 11.0918
## Dffclt.skor10 3.0313 0.3517 8.6183
## Dffclt.skor11 2.3740 0.2020 11.7546
## Dffclt.skor12 3.7505 0.3864 9.7059
## Dffclt.skor13 3.0277 0.3320 9.1189
## Dffclt.skor14 3.4432 0.4011 8.5835
## Dffclt.skor15 6.1104 1.3836 4.4162
## Dffclt.skor16 2.6313 0.2599 10.1229
## Dffclt.skor17 2.8103 0.2891 9.7196
## Dffclt.skor18 2.8440 0.2935 9.6900
## Dffclt.skor19 2.6534 0.2506 10.5894
## Dffclt.skor20 4.0057 0.6431 6.2289
## Dffclt.skor21 3.0182 NaN NaN
## Dffclt.skor22 3.3612 0.3595 9.3497
## Dffclt.skor23 2.9345 0.3249 9.0316
## Dffclt.skor24 3.1369 0.3892 8.0606
## Dffclt.skor25 2.9327 0.3485 8.4157
## Dffclt.skor26 2.7663 0.3078 8.9880
## Dffclt.skor27 3.2664 0.4017 8.1317
## Dffclt.skor28 2.6700 0.2917 9.1543
## Dffclt.skor29 2.9862 0.3624 8.2399
## Dffclt.skor30 3.8396 0.4716 8.1410
## Dffclt.skor31 3.1597 0.4555 6.9363
## Dffclt.skor32 2.2615 0.2218 10.1980
## Dffclt.skor33 2.1131 NaN NaN
## Dffclt.skor34 2.6131 0.2839 9.2051
## Dffclt.skor35 2.7161 0.2613 10.3951
## Dffclt.skor36 2.7103 0.2298 11.7962
## Dffclt.skor37 3.4280 NaN NaN
## Dffclt.skor38 3.9516 0.5900 6.6981
## Dffclt.skor39 2.4524 0.2350 10.4361
## Dffclt.skor40 2.4147 0.2167 11.1457
## Dffclt.skor41 3.4711 0.4392 7.9038
## Dffclt.skor42 2.6936 0.2560 10.5215
## Dffclt.skor43 2.9770 0.3971 7.4972
## Dffclt.skor44 2.7340 0.2246 12.1745
## Dffclt.skor45 3.2514 0.3337 9.7427
## Dffclt.skor46 2.9510 0.3192 9.2457
## Dffclt.skor47 2.9450 0.3612 8.1534
## Dffclt.skor48 3.2413 0.3707 8.7443
## Dffclt.skor49 2.7990 0.2953 9.4779
## Dffclt.skor50 3.1158 0.3478 8.9573
## Dscrmn.skor01 6.0863 NaN NaN
## Dscrmn.skor02 0.4394 0.0740 5.9361
## Dscrmn.skor03 0.3619 NaN NaN
## Dscrmn.skor04 0.6254 NaN NaN
## Dscrmn.skor05 0.3518 0.0603 5.8328
## Dscrmn.skor06 0.4422 0.0874 5.0600
## Dscrmn.skor07 0.2980 0.0115 26.0167
## Dscrmn.skor08 1.1713 0.2749 4.2605
## Dscrmn.skor09 0.4764 0.0479 9.9503
## Dscrmn.skor10 0.3578 0.0353 10.1277
## Dscrmn.skor11 1.3451 0.3448 3.9011
## Dscrmn.skor12 0.4981 0.0631 7.8959
## Dscrmn.skor13 0.3754 NaN NaN
## Dscrmn.skor14 0.3582 NaN NaN
## Dscrmn.skor15 0.1983 0.0279 7.1158
## Dscrmn.skor16 1.1168 0.2956 3.7785
## Dscrmn.skor17 0.3843 0.0242 15.8853
## Dscrmn.skor18 0.4206 0.0517 8.1275
## Dscrmn.skor19 0.4615 0.0560 8.2359
## Dscrmn.skor20 0.2617 0.0457 5.7301
## Dscrmn.skor21 0.7655 NaN NaN
## Dscrmn.skor22 0.4413 0.0744 5.9303
## Dscrmn.skor23 0.3943 0.0579 6.8039
## Dscrmn.skor24 0.7530 0.1978 3.8060
## Dscrmn.skor25 0.8646 0.2323 3.7215
## Dscrmn.skor26 0.3707 0.0426 8.6980
## Dscrmn.skor27 0.3751 0.0972 3.8587
## Dscrmn.skor28 0.4482 0.1295 3.4611
## Dscrmn.skor29 0.5119 0.5386 0.9503
## Dscrmn.skor30 0.3599 0.0433 8.3053
## Dscrmn.skor31 0.3499 0.0923 3.7923
## Dscrmn.skor32 0.4286 0.0445 9.6248
## Dscrmn.skor33 14.4367 NaN NaN
## Dscrmn.skor34 0.4354 0.0880 4.9460
## Dscrmn.skor35 0.9480 0.2591 3.6595
## Dscrmn.skor36 0.5294 0.0509 10.4090
## Dscrmn.skor37 0.5350 NaN NaN
## Dscrmn.skor38 0.3040 0.0583 5.2156
## Dscrmn.skor39 0.4416 0.0489 9.0293
## Dscrmn.skor40 0.4732 0.0456 10.3777
## Dscrmn.skor41 0.3316 0.0451 7.3508
## Dscrmn.skor42 0.4203 NaN NaN
## Dscrmn.skor43 0.6856 0.2932 2.3384
## Dscrmn.skor44 0.4102 NaN NaN
## Dscrmn.skor45 0.4423 0.0643 6.8769
## Dscrmn.skor46 0.5028 0.1653 3.0413
## Dscrmn.skor47 0.7910 0.2389 3.3105
## Dscrmn.skor48 0.4175 0.1181 3.5346
## Dscrmn.skor49 0.4153 0.0559 7.4299
## Dscrmn.skor50 0.5437 0.2808 1.9361
##
## Integration:
## method: Gauss-Hermite
## quadrature points: 21
##
## Optimization:
## Optimizer: optim (BFGS)
## Convergence: 0
## max(|grad|): 7.1
##
## Call:
## tpm(data = datalc)
##
## Total Information = 31.85
## Information in (-10, 10) = 31.85 (100%)
## Based on all the items
##
## Call:
## tpm(data = datalc)
##
## Total Information = 31.85
## Information in (0, 10) = 28.96 (90.94%)
## Based on all the items
##
## Item-Fit Statistics and P-values
##
## Call:
## tpm(data = datalc)
##
## Alternative: Items do not fit the model
## Ability Categories: 10
##
## X^2 Pr(>X^2)
## skor01 69.6087 <0.0001
## skor02 69.5688 <0.0001
## skor03 63.1780 <0.0001
## skor04 64.6901 <0.0001
## skor05 58.8868 <0.0001
## skor06 59.2871 <0.0001
## skor07 36.5118 <0.0001
## skor08 44.4929 <0.0001
## skor09 106.7880 <0.0001
## skor10 54.3870 <0.0001
## skor11 63.7849 <0.0001
## skor12 62.1658 <0.0001
## skor13 66.1853 <0.0001
## skor14 45.7533 <0.0001
## skor15 31.0049 0.0001
## skor16 43.0056 <0.0001
## skor17 74.1269 <0.0001
## skor18 86.1071 <0.0001
## skor19 98.2708 <0.0001
## skor20 44.5222 <0.0001
## skor21 45.5226 <0.0001
## skor22 69.1179 <0.0001
## skor23 84.1719 <0.0001
## skor24 46.9690 <0.0001
## skor25 44.4087 <0.0001
## skor26 67.0196 <0.0001
## skor27 55.5592 <0.0001
## skor28 74.1958 <0.0001
## skor29 64.1954 <0.0001
## skor30 54.4370 <0.0001
## skor31 64.1761 <0.0001
## skor32 87.8874 <0.0001
## skor33 86.1481 <0.0001
## skor34 86.9941 <0.0001
## skor35 62.8067 <0.0001
## skor36 109.6344 <0.0001
## skor37 52.3670 <0.0001
## skor38 41.2865 <0.0001
## skor39 103.8350 <0.0001
## skor40 100.3602 <0.0001
## skor41 67.5378 <0.0001
## skor42 70.8291 <0.0001
## skor43 77.6595 <0.0001
## skor44 75.1014 <0.0001
## skor45 78.7542 <0.0001
## skor46 60.5498 <0.0001
## skor47 52.2945 <0.0001
## skor48 64.1341 <0.0001
## skor49 79.6293 <0.0001
## skor50 60.0726 <0.0001
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## -1.88500 -0.45880 0.01520 0.05895 0.51110 3.07500
##
## Call:
## rasch(data = datalc, constraint = cbind(ncol(datalc) + 1, 1))
##
## Total Information = 49.99
## Information in (-10, 10) = 49.99 (100%)
## Based on all the items
##
## Call:
## rasch(data = datalc)
##
## Total Information = 16.7
## Information in (-10, 10) = 16.7 (100%)
## Based on all the items
##
## Call:
## ltm(formula = datalc ~ z1)
##
## Total Information = 16.77
## Information in (-10, 10) = 16.77 (100%)
## Based on all the items
##
## Call:
## tpm(data = datalc)
##
## Total Information = 31.85
## Information in (-10, 10) = 31.85 (100%)
## Based on all the items
##
## Likelihood Ratio Table
## AIC BIC log.Lik LRT df p.value
## lcrasch 339723.2 340059.2 -169811.6
## lcIRT.1pl 335479.5 335822.2 -167688.8 4245.67 1 <0.001
##
## Likelihood Ratio Table
## AIC BIC log.Lik LRT df p.value
## lcIRT.1pl 335479.5 335822.2 -167688.8
## lcIRT.2pl 335481.2 336153.2 -167640.6 96.27 49 <0.001
## Warning in anova.ltm(lcIRT.2pl, lcIRT.3pl): either the two models are not nested or the model represented by 'object2' fell on a local maxima.
##
## Likelihood Ratio Table
## AIC BIC log.Lik LRT df p.value
## lcIRT.2pl 335481.2 336153.2 -167640.6
## lcIRT.3pl 335612.3 336620.3 -167656.2 -31.09 50 1