PERSIAPAN DATA

## 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

ANALISA CTT

##        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

KALIBRASI MODEL RASCH

## 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

KALIBRASI MODEL IRT 1 PL

## 
## 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

KALIBRASI MODEL IRT 2 PL

## 
## 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

KALIBRASI MODEL IRT 3 PL

## 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

PERBANDINGAN INFORMATION FUNCTION

## 
## 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

ANOVA KEEMPAT MODEL

## 
##  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