1 *** LOGISTIC MODEL ITEM ANALYSER *** *** PHASE 2 *** AGREEABLENESS CALIBRATION FOR IRT TUTORIAL. >COMMENT >CALIB NQPT=40, CYC=100, NEW=30, CRIT=.001, PLOT=0; CALIBRATION PARAMETERS ====================== MAXIMUM NUMBER OF EM CYCLES: 100 MAXIMUM NUMBER OF NEWTON CYCLES: 30 CONVERGENCE CRITERION: 0.0010 SUBJECT DISTRIBUTION: NORMAL PRIOR PLOT EMPIRICAL VS. FITTED ICC'S: NO DATA HANDLING: RIGHT/WRONG/NOT PRESENTED DATA, IN CORE PRIOR DISTRIBUTION ON ASYMPTOTES: YES PRIOR DISTRIBUTION ON SLOPES: YES PRIOR DISTRIBUTION ON THRESHOLDS: NO SOURCE OF ITEM HYPERPARAMETERS: PROGRAM DEFAULTS 1 ****************************** CALIBRATION OF SUBTEST AGR ****************************** METHOD OF SOLUTION ================== EM CYCLES (MAXIMUM OF 100) FOLLOWED BY NEWTON-RAPHSON STEPS (MAXIMUM OF 30) QUADRATURE POINTS AND PRIOR WEIGHTS: 1 2 3 4 5 POINT -0.4000E+01 -0.3795E+01 -0.3590E+01 -0.3385E+01 -0.3179E+01 WEIGHT 0.2745E-04 0.6107E-04 0.1302E-03 0.2663E-03 0.5221E-03 6 7 8 9 10 POINT -0.2974E+01 -0.2769E+01 -0.2564E+01 -0.2359E+01 -0.2154E+01 WEIGHT 0.9815E-03 0.1769E-02 0.3057E-02 0.5065E-02 0.8046E-02 11 12 13 14 15 POINT -0.1949E+01 -0.1744E+01 -0.1538E+01 -0.1333E+01 -0.1128E+01 WEIGHT 0.1226E-01 0.1790E-01 0.2506E-01 0.3364E-01 0.4331E-01 16 17 18 19 20 POINT -0.9231E+00 -0.7179E+00 -0.5128E+00 -0.3077E+00 -0.1026E+00 WEIGHT 0.5345E-01 0.6324E-01 0.7175E-01 0.7805E-01 0.8141E-01 21 22 23 24 25 POINT 0.1026E+00 0.3077E+00 0.5128E+00 0.7179E+00 0.9231E+00 WEIGHT 0.8141E-01 0.7805E-01 0.7175E-01 0.6324E-01 0.5345E-01 26 27 28 29 30 POINT 0.1128E+01 0.1333E+01 0.1538E+01 0.1744E+01 0.1949E+01 WEIGHT 0.4331E-01 0.3364E-01 0.2506E-01 0.1790E-01 0.1226E-01 31 32 33 34 35 POINT 0.2154E+01 0.2359E+01 0.2564E+01 0.2769E+01 0.2974E+01 WEIGHT 0.8046E-02 0.5065E-02 0.3057E-02 0.1769E-02 0.9815E-03 36 37 38 39 40 POINT 0.3179E+01 0.3385E+01 0.3590E+01 0.3795E+01 0.4000E+01 WEIGHT 0.5221E-03 0.2663E-03 0.1302E-03 0.6107E-04 0.2745E-04 PRIOR DISTRIBUTIONS ON ITEM PARAMETERS (THRESHOLDS, NORMAL; SLOPES, LOG-NORMAL; GUESSING, BETA) THRESHOLDS SLOPES ASYMPTOTES ITEM MU SIGMA MU SIGMA ALPHA BETA 0001 - - 0.000 0.500 5.00 17.00 0002 - - 0.000 0.500 5.00 17.00 0003 - - 0.000 0.500 5.00 17.00 0004 - - 0.000 0.500 5.00 17.00 0005 - - 0.000 0.500 5.00 17.00 0006 - - 0.000 0.500 5.00 17.00 0007 - - 0.000 0.500 5.00 17.00 0008 - - 0.000 0.500 5.00 17.00 0009 - - 0.000 0.500 5.00 17.00 0010 - - 0.000 0.500 5.00 17.00 DATA FOR FIRST TWO OBSERVATIONS (TT=RIGHT, TF=WRONG, FF=NOT PRESENTED) OBSERVATION 1 WEIGHT = 1.000 TT TT TT TT TT TF TF TT TF TT OBSERVATION 2 WEIGHT = 1.000 TT TT TT TT TT TT TT TT TT TT [EM STEP] -2 LOG LIKELIHOOD = 15272.2401 CYCLE 1: LARGEST CHANGE = 0.31898 -2 LOG LIKELIHOOD = 15202.1931 CYCLE 2: LARGEST CHANGE = 0.12935 -2 LOG LIKELIHOOD = 15186.9419 CYCLE 3: LARGEST CHANGE = 0.05059 -2 LOG LIKELIHOOD = 15183.1838 CYCLE 4: LARGEST CHANGE = 0.04335 -2 LOG LIKELIHOOD = 15182.1378 CYCLE 5: LARGEST CHANGE = 0.00609 -2 LOG LIKELIHOOD = 15181.7481 CYCLE 6: LARGEST CHANGE = 0.00638 -2 LOG LIKELIHOOD = 15181.6063 CYCLE 7: LARGEST CHANGE = 0.00992 -2 LOG LIKELIHOOD = 15181.5288 CYCLE 8: LARGEST CHANGE = 0.00466 -2 LOG LIKELIHOOD = 15181.4930 CYCLE 9: LARGEST CHANGE = 0.00749 -2 LOG LIKELIHOOD = 15181.4728 CYCLE 10: LARGEST CHANGE = 0.00351 -2 LOG LIKELIHOOD = 15181.4638 CYCLE 11: LARGEST CHANGE = 0.00105 -2 LOG LIKELIHOOD = 15181.4532 CYCLE 12: LARGEST CHANGE = 0.00116 -2 LOG LIKELIHOOD = 15181.4541 CYCLE 13: LARGEST CHANGE = 0.00071 [FULL NEWTON STEP] -2 LOG LIKELIHOOD = 15181.2347 CYCLE 14: LARGEST CHANGE = 0.00066 1 SUBTEST AGR : INDICES OF ITEM FIT STANDARDIZED POSTERIOR RESIDUALS AT QUADRATURE POINTS WITH POSTERIOR WEIGHTS ITEM STANDARDIZED RESIDUALS ----------------------------------------------------------------------------- 0001 | 0.359 0.252 0.121 -0.036 -0.219 -0.426 -0.647 -0.870 -1.071 -1.218 | -1.272 -1.194 -0.956 -0.572 -0.145 0.148 0.184 0.051 -0.021 0.065 | 0.192 0.216 0.113 -0.042 -0.173 -0.248 -0.271 -0.259 -0.230******* |********************************************************************** | 0002 | -4.792 -4.686 -4.559 -4.411 -4.241 -4.051 -3.846 -3.627 -3.392 -3.124 | -2.787 -2.319 -1.656 -0.802 0.086 0.722 0.889 0.664 0.334 0.117 | 0.030 -0.023 -0.117 -0.258 -0.408 -0.527 -0.600 -0.626 -0.617 -0.584 | -0.538 -0.486 -0.432 -0.381 -0.334 -0.291 -0.253 -0.219 -0.189 -0.163 | 0003 | -1.356 -1.365 -1.369 -1.365 -1.345 -1.303 -1.227 -1.105 -0.926 -0.681 | -0.370 -0.014 0.338 0.610 0.732 0.706 0.584 0.373 0.022 -0.441 | -0.830 -0.952 -0.767 -0.377 0.079 0.494 0.813 1.021 1.127 1.154 | 1.125 1.062 0.980************************************************* | 0004 | -9.554 -9.391 -9.194 -8.958 -8.682 -8.364 -8.000 -7.584 -7.094 -6.488 | -5.700 -4.647 -3.276 -1.641 0.032 1.365 2.033 1.963 1.314 0.358 | -0.567 -1.187 -1.430 -1.385 -1.187 -0.942 -0.712 -0.521 -0.374 -0.266 |********************************************************************** | 0005 | -7.684 -7.709 -7.734 -7.754 -7.760 -7.740 -7.674 -7.536 -7.289 -6.891 | -6.292 -5.445 -4.321 -2.944 -1.442 -0.066 0.894 1.270 1.111 0.625 | 0.056 -0.409 -0.687 -0.790 -0.773 -0.693 -0.589 -0.485 -0.392 -0.312 | -0.247 -0.195******************************************************** | 0006 | -1.144 -1.171 -1.205 -1.247 -1.300 -1.363 -1.438 -1.521 -1.602 -1.660 | -1.652 -1.516 -1.179 -0.608 0.103 0.707 0.969 0.896 0.672 0.393 | 0.055 -0.293 -0.561 -0.708 -0.754 -0.739 -0.697 -0.644 -0.588 -0.533 | -0.480 -0.430 -0.383 -0.340 -0.301 -0.265 -0.233 -0.205************** | 0007 | -6.733 -6.628 -6.494 -6.321 -6.100 -5.818 -5.459 -5.004 -4.434 -3.737 | -2.920 -2.027 -1.167 -0.508 -0.221 -0.322 -0.524 -0.428 0.031 0.516 | 0.685 0.488 0.104 -0.267 -0.522 -0.646 -0.669 -0.629 -0.559 -0.477 | -0.398 -0.326 -0.264************************************************* | 0008 |-17.215-16.905-16.519-16.042-15.460-14.754-13.909-12.906-11.721-10.335 | -8.728 -6.907 -4.924 -2.915 -1.104 0.261 1.045 1.322 1.279 1.039 | 0.642 0.143 -0.354 -0.755 -1.016 -1.141 -1.161 -1.112 -1.023 -0.917 | -0.807 -0.701 -0.604 -0.517 -0.441 -0.375 -0.318 -0.269 -0.227******* | 0009 | -2.346 -2.379 -2.418 -2.465 -2.518 -2.575 -2.633 -2.682 -2.709 -2.690 | -2.593 -2.379 -2.011 -1.478 -0.826 -0.159 0.414 0.841 1.096 1.124 | 0.876 0.391 -0.194 -0.729 -1.124 -1.356 -1.447 -1.438 -1.365 -1.258 | -1.137 -1.013 -0.894 -0.785 -0.685 -0.597 -0.518 -0.450 -0.389 -0.337 | 0010 | -7.618 -7.459 -7.263 -7.025 -6.738 -6.398 -6.001 -5.544 -5.025 -4.442 | -3.793 -3.080 -2.306 -1.484 -0.646 0.130 0.706 0.952 0.879 0.629 | 0.331 0.033 -0.247 -0.480 -0.643 -0.730 -0.753 -0.731 -0.682 -0.619 | -0.552 -0.487 -0.425 -0.369 -0.320 -0.276 -0.238 -0.205 -0.176 -0.151 ----------------------------------------------------------------------------- POINT -4.000 -3.795 -3.590 -3.385 -3.179 -2.974 -2.769 -2.564 -2.359 -2.154 WEIGHT 0.000 0.000 0.000 0.000 0.001 0.001 0.002 0.004 0.006 0.009 -1.949 -1.744 -1.538 -1.333 -1.128 -0.923 -0.718 -0.513 -0.308 -0.103 0.013 0.018 0.025 0.032 0.040 0.049 0.060 0.070 0.078 0.084 0.103 0.308 0.513 0.718 0.923 1.128 1.333 1.538 1.744 1.949 0.085 0.082 0.074 0.065 0.054 0.043 0.033 0.024 0.017 0.012 2.154 2.359 2.564 2.769 2.974 3.179 3.385 3.590 3.795 4.000 0.008 0.005 0.003 0.002 0.001 0.000 0.000 0.000 0.000 0.000 * - NOT COMPUTED: S.D. OF POSTERIOR RESIDUAL IS LESS THAN 0.001. 1 SUBTEST AGR : ITEM PARAMETERS AFTER CYCLE 14 ITEM INTERCEPT SLOPE THRESHOLD DISPERSN ASYMPTOTE RT MEAN SQUARE STD S.E. S.E. S.E. S.E. S.E. POSTERIOR RESIDUAL ------------------------------------------------------------------------------ 0001 | 1.131 | 1.533 | -0.737 | 0.652 | 0.147 | 0.361 | 0.102* | 0.186* | 0.095* | 0.079* | 0.054* | | | | | | | 0002 | 0.361 | 0.870 | -0.414 | 1.149 | 0.133 | 0.863 | 0.087* | 0.098* | 0.128* | 0.129* | 0.054* | | | | | | | 0003 | 1.474 | 0.743 | -1.984 | 1.346 | 0.197 | 0.656 | 0.109* | 0.084* | 0.229* | 0.153* | 0.088* | | | | | | | 0004 | 1.196 | 1.256 | -0.952 | 0.796 | 0.091 | 1.941 | 0.088* | 0.115* | 0.087* | 0.073* | 0.043* | | | | | | | 0005 | 0.544 | 1.404 | -0.388 | 0.712 | 0.057 | 1.894 | 0.071* | 0.133* | 0.060* | 0.068* | 0.026* | | | | | | | 0006 | 0.892 | 0.777 | -1.148 | 1.286 | 0.174 | 0.723 | 0.093* | 0.082* | 0.181* | 0.136* | 0.076* | | | | | | | 0007 | 0.174 | 1.369 | -0.127 | 0.730 | 0.088 | 0.954 | 0.084* | 0.160* | 0.069* | 0.085* | 0.032* | | | | | | | 0008 | 0.042 | 0.979 | -0.043 | 1.021 | 0.057 | 2.624 | 0.066* | 0.093* | 0.069* | 0.097* | 0.027* | | | | | | | 0009 | 0.442 | 0.839 | -0.526 | 1.192 | 0.130 | 1.125 | 0.084* | 0.089* | 0.132* | 0.126* | 0.055* | | | | | | | 0010 | 0.104 | 0.880 | -0.119 | 1.137 | 0.101 | 1.232 | 0.084* | 0.098* | 0.103* | 0.126* | 0.042* | ------------------------------------------------------------------------------ * STANDARD ERROR LARGEST CHANGE = 0.001 PARAMETER MEAN STN DEV ----------------------------- ASYMPTOTE 0.117 0.047 SLOPE 1.065 0.294 LOG(SLOPE) 0.030 0.270 THRESHOLD -0.644 0.595 QUADRATURE POINTS AND POSTERIOR WEIGHTS: 1 2 3 4 5 POINT -0.4000E+01 -0.3795E+01 -0.3590E+01 -0.3385E+01 -0.3179E+01 WEIGHT 0.3487E-04 0.7729E-04 0.1641E-03 0.3334E-03 0.6481E-03 6 7 8 9 10 POINT -0.2974E+01 -0.2769E+01 -0.2564E+01 -0.2359E+01 -0.2154E+01 WEIGHT 0.1205E-02 0.2140E-02 0.3628E-02 0.5864E-02 0.9025E-02 11 12 13 14 15 POINT -0.1949E+01 -0.1744E+01 -0.1538E+01 -0.1333E+01 -0.1128E+01 WEIGHT 0.1322E-01 0.1845E-01 0.2465E-01 0.3177E-01 0.3996E-01 16 17 18 19 20 POINT -0.9231E+00 -0.7179E+00 -0.5128E+00 -0.3077E+00 -0.1026E+00 WEIGHT 0.4940E-01 0.5977E-01 0.6995E-01 0.7838E-01 0.8365E-01 21 22 23 24 25 POINT 0.1026E+00 0.3077E+00 0.5128E+00 0.7179E+00 0.9231E+00 WEIGHT 0.8479E-01 0.8154E-01 0.7448E-01 0.6482E-01 0.5395E-01 26 27 28 29 30 POINT 0.1128E+01 0.1333E+01 0.1538E+01 0.1744E+01 0.1949E+01 WEIGHT 0.4305E-01 0.3300E-01 0.2430E-01 0.1720E-01 0.1170E-01 31 32 33 34 35 POINT 0.2154E+01 0.2359E+01 0.2564E+01 0.2769E+01 0.2974E+01 WEIGHT 0.7640E-02 0.4790E-02 0.2883E-02 0.1665E-02 0.9221E-03 36 37 38 39 40 POINT 0.3179E+01 0.3385E+01 0.3590E+01 0.3795E+01 0.4000E+01 WEIGHT 0.4900E-03 0.2497E-03 0.1220E-03 0.5720E-04 0.2571E-04 183848 BYTES OF NUMERIAL WORKSPACE USED OUT OF 3600000 IN PHASE-2 3012 BYTES OF CHARACTER WORKSPACE USED OUT OF 80000 IN PHASE-2