Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:11 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a generalized partial credit
item response theory (IRT) model
DATA: FILE IS ex5.5part1.dat;
VARIABLE: NAMES ARE u1-u20;
CATEGORICAL ARE u1-u20 (gpcm);
ANALYSIS: ESTIMATOR = MLR;
MODEL: f BY u1-u20*;
f@1;
OUTPUT: TECH1 TECH8;
PLOT: TYPE = PLOT3;
INPUT READING TERMINATED NORMALLY
this is an example of a generalized partial credit
item response theory (IRT) model
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 5000
Number of dependent variables 20
Number of independent variables 0
Number of continuous latent variables 1
Observed dependent variables
Binary and ordered categorical (ordinal)
U1 U2 U3 U4 U5 U6
U7 U8 U9 U10 U11 U12
U13 U14 U15 U16 U17 U18
U19 U20
Continuous latent variables
F
Estimator MLR
Information matrix OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
Maximum number of iterations 100
Convergence criterion 0.100D-05
Optimization Specifications for the EM Algorithm
Maximum number of iterations 500
Convergence criteria
Loglikelihood change 0.100D-02
Relative loglikelihood change 0.100D-05
Derivative 0.100D-02
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
Number of M step iterations 1
M step convergence criterion 0.100D-02
Basis for M step termination ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
Number of M step iterations 1
M step convergence criterion 0.100D-02
Basis for M step termination ITERATION
Maximum value for logit thresholds 15
Minimum value for logit thresholds -15
Minimum expected cell size for chi-square 0.100D-01
Optimization algorithm EMA
Integration Specifications
Type STANDARD
Number of integration points 15
Dimensions of numerical integration 1
Adaptive quadrature ON
Link LOGIT
Cholesky ON
Input data file(s)
ex5.5part1.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U1
Category 1 0.369 1844.000
Category 2 0.129 644.000
Category 3 0.186 929.000
Category 4 0.096 480.000
Category 5 0.221 1103.000
U2
Category 1 0.355 1775.000
Category 2 0.123 615.000
Category 3 0.199 997.000
Category 4 0.095 474.000
Category 5 0.228 1139.000
U3
Category 1 0.356 1778.000
Category 2 0.129 644.000
Category 3 0.186 931.000
Category 4 0.101 506.000
Category 5 0.228 1141.000
U4
Category 1 0.367 1836.000
Category 2 0.119 594.000
Category 3 0.197 983.000
Category 4 0.098 490.000
Category 5 0.219 1097.000
U5
Category 1 0.363 1815.000
Category 2 0.127 633.000
Category 3 0.194 969.000
Category 4 0.095 474.000
Category 5 0.222 1109.000
U6
Category 1 0.358 1792.000
Category 2 0.125 626.000
Category 3 0.193 965.000
Category 4 0.100 500.000
Category 5 0.223 1117.000
U7
Category 1 0.359 1794.000
Category 2 0.129 647.000
Category 3 0.191 955.000
Category 4 0.103 517.000
Category 5 0.217 1087.000
U8
Category 1 0.366 1831.000
Category 2 0.122 609.000
Category 3 0.197 985.000
Category 4 0.098 490.000
Category 5 0.217 1085.000
U9
Category 1 0.354 1771.000
Category 2 0.125 627.000
Category 3 0.198 990.000
Category 4 0.098 488.000
Category 5 0.225 1124.000
U10
Category 1 0.360 1802.000
Category 2 0.123 615.000
Category 3 0.192 958.000
Category 4 0.098 490.000
Category 5 0.227 1135.000
U11
Category 1 0.367 1834.000
Category 2 0.121 604.000
Category 3 0.193 967.000
Category 4 0.098 492.000
Category 5 0.221 1103.000
U12
Category 1 0.362 1812.000
Category 2 0.120 600.000
Category 3 0.201 1004.000
Category 4 0.098 491.000
Category 5 0.219 1093.000
U13
Category 1 0.363 1817.000
Category 2 0.120 598.000
Category 3 0.193 963.000
Category 4 0.101 506.000
Category 5 0.223 1116.000
U14
Category 1 0.358 1791.000
Category 2 0.118 589.000
Category 3 0.195 975.000
Category 4 0.099 497.000
Category 5 0.230 1148.000
U15
Category 1 0.360 1801.000
Category 2 0.125 626.000
Category 3 0.188 942.000
Category 4 0.102 508.000
Category 5 0.225 1123.000
U16
Category 1 0.361 1804.000
Category 2 0.125 625.000
Category 3 0.184 920.000
Category 4 0.107 533.000
Category 5 0.224 1118.000
U17
Category 1 0.357 1786.000
Category 2 0.132 658.000
Category 3 0.189 944.000
Category 4 0.102 511.000
Category 5 0.220 1101.000
U18
Category 1 0.366 1829.000
Category 2 0.116 580.000
Category 3 0.191 956.000
Category 4 0.098 492.000
Category 5 0.229 1143.000
U19
Category 1 0.363 1815.000
Category 2 0.118 590.000
Category 3 0.195 976.000
Category 4 0.097 487.000
Category 5 0.226 1132.000
U20
Category 1 0.354 1771.000
Category 2 0.129 644.000
Category 3 0.190 949.000
Category 4 0.108 542.000
Category 5 0.219 1094.000
THE MODEL ESTIMATION TERMINATED NORMALLY
THE CHI-SQUARE TEST CANNOT BE COMPUTED BECAUSE THE FREQUENCY TABLE FOR THE
CATEGORICAL VARIABLES IS TOO LARGE.
MODEL FIT INFORMATION
Number of Free Parameters 100
Loglikelihood
H0 Value -121621.098
H0 Scaling Correction Factor 0.9979
for MLR
Information Criteria
Akaike (AIC) 243442.196
Bayesian (BIC) 244093.915
Sample-Size Adjusted BIC 243776.149
(n* = (n + 2) / 24)
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F BY
U1 0.982 0.029 33.901 0.000
U2 1.016 0.030 34.345 0.000
U3 1.011 0.030 33.401 0.000
U4 1.085 0.032 33.713 0.000
U5 0.989 0.029 33.637 0.000
U6 0.993 0.030 33.557 0.000
U7 1.012 0.030 33.907 0.000
U8 1.063 0.031 34.575 0.000
U9 0.991 0.029 34.209 0.000
U10 1.032 0.030 34.603 0.000
U11 1.056 0.031 33.638 0.000
U12 0.988 0.030 33.392 0.000
U13 0.980 0.029 33.441 0.000
U14 0.938 0.027 34.386 0.000
U15 0.981 0.029 33.648 0.000
U16 1.023 0.030 34.611 0.000
U17 1.051 0.031 34.195 0.000
U18 1.004 0.029 34.345 0.000
U19 0.999 0.030 33.838 0.000
U20 1.005 0.030 33.331 0.000
Steps
U1$1 0.551 0.052 10.587 0.000
U1$2 -0.419 0.054 -7.723 0.000
U1$3 1.023 0.061 16.895 0.000
U1$4 -0.036 0.064 -0.564 0.573
U2$1 0.514 0.053 9.643 0.000
U2$2 -0.562 0.055 -10.266 0.000
U2$3 1.099 0.060 18.461 0.000
U2$4 -0.066 0.064 -1.018 0.309
U3$1 0.475 0.053 8.979 0.000
U3$2 -0.446 0.055 -8.182 0.000
U3$3 0.961 0.059 16.178 0.000
U3$4 -0.010 0.063 -0.165 0.869
U4$1 0.557 0.055 10.154 0.000
U4$2 -0.567 0.055 -10.231 0.000
U4$3 1.098 0.060 18.214 0.000
U4$4 0.089 0.066 1.351 0.177
U5$1 0.539 0.052 10.277 0.000
U5$2 -0.487 0.054 -8.985 0.000
U5$3 1.074 0.060 17.911 0.000
U5$4 -0.051 0.065 -0.792 0.428
U6$1 0.527 0.053 9.916 0.000
U6$2 -0.504 0.054 -9.270 0.000
U6$3 1.009 0.059 16.965 0.000
U6$4 -0.010 0.063 -0.157 0.875
U7$1 0.487 0.052 9.309 0.000
U7$2 -0.455 0.054 -8.379 0.000
U7$3 0.981 0.059 16.560 0.000
U7$4 0.079 0.063 1.257 0.209
U8$1 0.543 0.054 10.103 0.000
U8$2 -0.541 0.055 -9.823 0.000
U8$3 1.095 0.060 18.305 0.000
U8$4 0.084 0.065 1.290 0.197
U9$1 0.510 0.053 9.618 0.000
U9$2 -0.532 0.054 -9.807 0.000
U9$3 1.054 0.060 17.707 0.000
U9$4 -0.045 0.064 -0.707 0.479
U10$1 0.526 0.053 9.874 0.000
U10$2 -0.517 0.055 -9.402 0.000
U10$3 1.036 0.060 17.386 0.000
U10$4 -0.012 0.065 -0.179 0.858
U11$1 0.556 0.054 10.266 0.000
U11$2 -0.534 0.055 -9.670 0.000
U11$3 1.064 0.060 17.712 0.000
U11$4 0.058 0.065 0.887 0.375
U12$1 0.588 0.054 10.986 0.000
U12$2 -0.579 0.055 -10.595 0.000
U12$3 1.072 0.059 18.130 0.000
U12$4 -0.002 0.064 -0.036 0.971
U13$1 0.598 0.054 11.141 0.000
U13$2 -0.545 0.055 -9.906 0.000
U13$3 0.990 0.059 16.830 0.000
U13$4 -0.010 0.064 -0.157 0.876
U14$1 0.616 0.054 11.491 0.000
U14$2 -0.581 0.055 -10.582 0.000
U14$3 0.991 0.059 16.889 0.000
U14$4 -0.108 0.062 -1.759 0.079
U15$1 0.540 0.053 10.260 0.000
U15$2 -0.479 0.055 -8.761 0.000
U15$3 0.963 0.059 16.316 0.000
U15$4 -0.013 0.063 -0.204 0.839
U16$1 0.517 0.053 9.732 0.000
U16$2 -0.460 0.055 -8.356 0.000
U16$3 0.907 0.059 15.406 0.000
U16$4 0.079 0.062 1.274 0.203
U17$1 0.439 0.053 8.332 0.000
U17$2 -0.431 0.054 -7.929 0.000
U17$3 0.996 0.059 16.761 0.000
U17$4 0.090 0.064 1.397 0.162
U18$1 0.619 0.054 11.512 0.000
U18$2 -0.572 0.056 -10.263 0.000
U18$3 1.016 0.060 17.048 0.000
U18$4 -0.045 0.063 -0.708 0.479
U19$1 0.596 0.054 11.080 0.000
U19$2 -0.575 0.055 -10.405 0.000
U19$3 1.047 0.060 17.573 0.000
U19$4 -0.047 0.064 -0.734 0.463
U20$1 0.475 0.053 9.003 0.000
U20$2 -0.462 0.054 -8.517 0.000
U20$3 0.916 0.059 15.651 0.000
U20$4 0.105 0.062 1.689 0.091
Variances
F 1.000 0.000 999.000 999.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.181E-01
(ratio of smallest to largest eigenvalue)
RESULTS IN PROBABILITY SCALE
Estimate
U1
Category 1 0.368
Category 2 0.128
Category 3 0.186
Category 4 0.097
Category 5 0.221
U2
Category 1 0.354
Category 2 0.123
Category 3 0.200
Category 4 0.095
Category 5 0.228
U3
Category 1 0.355
Category 2 0.128
Category 3 0.186
Category 4 0.102
Category 5 0.229
U4
Category 1 0.366
Category 2 0.118
Category 3 0.197
Category 4 0.099
Category 5 0.220
U5
Category 1 0.362
Category 2 0.126
Category 3 0.194
Category 4 0.095
Category 5 0.222
U6
Category 1 0.357
Category 2 0.125
Category 3 0.193
Category 4 0.101
Category 5 0.224
U7
Category 1 0.358
Category 2 0.129
Category 3 0.191
Category 4 0.104
Category 5 0.218
U8
Category 1 0.365
Category 2 0.121
Category 3 0.197
Category 4 0.099
Category 5 0.218
U9
Category 1 0.353
Category 2 0.125
Category 3 0.198
Category 4 0.098
Category 5 0.225
U10
Category 1 0.359
Category 2 0.123
Category 3 0.192
Category 4 0.099
Category 5 0.228
U11
Category 1 0.366
Category 2 0.120
Category 3 0.194
Category 4 0.099
Category 5 0.221
U12
Category 1 0.361
Category 2 0.120
Category 3 0.201
Category 4 0.099
Category 5 0.219
U13
Category 1 0.362
Category 2 0.119
Category 3 0.193
Category 4 0.102
Category 5 0.224
U14
Category 1 0.357
Category 2 0.117
Category 3 0.195
Category 4 0.100
Category 5 0.230
U15
Category 1 0.359
Category 2 0.125
Category 3 0.189
Category 4 0.102
Category 5 0.225
U16
Category 1 0.360
Category 2 0.125
Category 3 0.184
Category 4 0.107
Category 5 0.224
U17
Category 1 0.356
Category 2 0.131
Category 3 0.189
Category 4 0.103
Category 5 0.221
U18
Category 1 0.365
Category 2 0.116
Category 3 0.192
Category 4 0.099
Category 5 0.229
U19
Category 1 0.362
Category 2 0.118
Category 3 0.196
Category 4 0.098
Category 5 0.227
U20
Category 1 0.353
Category 2 0.128
Category 3 0.190
Category 4 0.109
Category 5 0.219
IRT PARAMETERIZATION
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Item Discriminations
F BY
U1 0.982 0.029 33.901 0.000
U2 1.016 0.030 34.345 0.000
U3 1.011 0.030 33.401 0.000
U4 1.085 0.032 33.713 0.000
U5 0.989 0.029 33.637 0.000
U6 0.993 0.030 33.557 0.000
U7 1.012 0.030 33.907 0.000
U8 1.063 0.031 34.575 0.000
U9 0.991 0.029 34.209 0.000
U10 1.032 0.030 34.603 0.000
U11 1.056 0.031 33.638 0.000
U12 0.988 0.030 33.392 0.000
U13 0.980 0.029 33.441 0.000
U14 0.938 0.027 34.386 0.000
U15 0.981 0.029 33.648 0.000
U16 1.023 0.030 34.611 0.000
U17 1.051 0.031 34.195 0.000
U18 1.004 0.029 34.345 0.000
U19 0.999 0.030 33.838 0.000
U20 1.005 0.030 33.331 0.000
Item Locations
U1 0.285 0.020 14.042 0.000
U2 0.242 0.020 12.147 0.000
U3 0.242 0.020 12.124 0.000
U4 0.271 0.020 13.798 0.000
U5 0.272 0.020 13.450 0.000
U6 0.257 0.020 12.770 0.000
U7 0.270 0.020 13.402 0.000
U8 0.278 0.020 13.999 0.000
U9 0.249 0.020 12.383 0.000
U10 0.250 0.020 12.601 0.000
U11 0.271 0.020 13.634 0.000
U12 0.273 0.020 13.472 0.000
U13 0.263 0.020 13.033 0.000
U14 0.245 0.021 11.925 0.000
U15 0.258 0.020 12.735 0.000
U16 0.255 0.020 12.766 0.000
U17 0.260 0.020 13.132 0.000
U18 0.253 0.020 12.667 0.000
U19 0.256 0.020 12.736 0.000
U20 0.257 0.020 12.780 0.000
Item Categories
U1
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.276 0.055 -5.059 0.000
Category 3 0.712 0.056 12.774 0.000
Category 4 -0.757 0.060 -12.522 0.000
Category 5 0.321 0.061 5.273 0.000
U2
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.263 0.053 -4.935 0.000
Category 3 0.795 0.055 14.573 0.000
Category 4 -0.838 0.059 -14.207 0.000
Category 5 0.307 0.060 5.125 0.000
U3
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.228 0.053 -4.297 0.000
Category 3 0.684 0.054 12.677 0.000
Category 4 -0.709 0.058 -12.289 0.000
Category 5 0.253 0.058 4.331 0.000
U4
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.242 0.052 -4.627 0.000
Category 3 0.794 0.052 15.197 0.000
Category 4 -0.741 0.054 -13.651 0.000
Category 5 0.189 0.055 3.410 0.001
U5
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.274 0.055 -5.013 0.000
Category 3 0.764 0.055 13.818 0.000
Category 4 -0.815 0.061 -13.446 0.000
Category 5 0.324 0.062 5.223 0.000
U6
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.274 0.055 -4.969 0.000
Category 3 0.765 0.056 13.777 0.000
Category 4 -0.759 0.059 -12.891 0.000
Category 5 0.267 0.060 4.493 0.000
U7
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.211 0.052 -4.057 0.000
Category 3 0.719 0.053 13.479 0.000
Category 4 -0.700 0.057 -12.361 0.000
Category 5 0.191 0.057 3.362 0.001
U8
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.233 0.052 -4.521 0.000
Category 3 0.787 0.053 14.967 0.000
Category 4 -0.752 0.055 -13.579 0.000
Category 5 0.199 0.056 3.559 0.000
U9
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.265 0.055 -4.855 0.000
Category 3 0.786 0.055 14.183 0.000
Category 4 -0.815 0.059 -13.744 0.000
Category 5 0.294 0.060 4.893 0.000
U10
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.259 0.053 -4.934 0.000
Category 3 0.751 0.053 14.048 0.000
Category 4 -0.753 0.057 -13.107 0.000
Category 5 0.261 0.058 4.468 0.000
U11
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.256 0.053 -4.838 0.000
Category 3 0.776 0.053 14.615 0.000
Category 4 -0.737 0.056 -13.226 0.000
Category 5 0.216 0.057 3.819 0.000
U12
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.323 0.057 -5.698 0.000
Category 3 0.860 0.057 15.098 0.000
Category 4 -0.812 0.060 -13.621 0.000
Category 5 0.275 0.061 4.529 0.000
U13
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.347 0.058 -6.020 0.000
Category 3 0.820 0.058 14.253 0.000
Category 4 -0.747 0.060 -12.542 0.000
Category 5 0.274 0.061 4.510 0.000
U14
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.412 0.060 -6.882 0.000
Category 3 0.864 0.060 14.324 0.000
Category 4 -0.812 0.062 -13.011 0.000
Category 5 0.360 0.063 5.734 0.000
U15
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.293 0.055 -5.327 0.000
Category 3 0.746 0.056 13.313 0.000
Category 4 -0.723 0.059 -12.209 0.000
Category 5 0.271 0.060 4.528 0.000
U16
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.251 0.053 -4.757 0.000
Category 3 0.705 0.054 13.041 0.000
Category 4 -0.632 0.056 -11.339 0.000
Category 5 0.178 0.055 3.223 0.001
U17
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.157 0.050 -3.148 0.002
Category 3 0.670 0.052 12.977 0.000
Category 4 -0.687 0.055 -12.403 0.000
Category 5 0.175 0.056 3.140 0.002
U18
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.363 0.056 -6.483 0.000
Category 3 0.823 0.057 14.508 0.000
Category 4 -0.758 0.059 -12.883 0.000
Category 5 0.298 0.059 5.034 0.000
U19
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.341 0.056 -6.057 0.000
Category 3 0.831 0.057 14.653 0.000
Category 4 -0.792 0.059 -13.368 0.000
Category 5 0.302 0.060 5.028 0.000
U20
Category 1 0.000 0.000 0.000 1.000
Category 2 -0.215 0.053 -4.047 0.000
Category 3 0.717 0.054 13.212 0.000
Category 4 -0.654 0.056 -11.661 0.000
Category 5 0.152 0.056 2.717 0.007
Variances
F 1.000 0.000 0.000 1.000
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
TAU
U1$1 U1$2 U1$3 U1$4 U2$1
________ ________ ________ ________ ________
21 22 23 24 25
TAU
U2$2 U2$3 U2$4 U3$1 U3$2
________ ________ ________ ________ ________
26 27 28 29 30
TAU
U3$3 U3$4 U4$1 U4$2 U4$3
________ ________ ________ ________ ________
31 32 33 34 35
TAU
U4$4 U5$1 U5$2 U5$3 U5$4
________ ________ ________ ________ ________
36 37 38 39 40
TAU
U6$1 U6$2 U6$3 U6$4 U7$1
________ ________ ________ ________ ________
41 42 43 44 45
TAU
U7$2 U7$3 U7$4 U8$1 U8$2
________ ________ ________ ________ ________
46 47 48 49 50
TAU
U8$3 U8$4 U9$1 U9$2 U9$3
________ ________ ________ ________ ________
51 52 53 54 55
TAU
U9$4 U10$1 U10$2 U10$3 U10$4
________ ________ ________ ________ ________
56 57 58 59 60
TAU
U11$1 U11$2 U11$3 U11$4 U12$1
________ ________ ________ ________ ________
61 62 63 64 65
TAU
U12$2 U12$3 U12$4 U13$1 U13$2
________ ________ ________ ________ ________
66 67 68 69 70
TAU
U13$3 U13$4 U14$1 U14$2 U14$3
________ ________ ________ ________ ________
71 72 73 74 75
TAU
U14$4 U15$1 U15$2 U15$3 U15$4
________ ________ ________ ________ ________
76 77 78 79 80
TAU
U16$1 U16$2 U16$3 U16$4 U17$1
________ ________ ________ ________ ________
81 82 83 84 85
TAU
U17$2 U17$3 U17$4 U18$1 U18$2
________ ________ ________ ________ ________
86 87 88 89 90
TAU
U18$3 U18$4 U19$1 U19$2 U19$3
________ ________ ________ ________ ________
91 92 93 94 95
TAU
U19$4 U20$1 U20$2 U20$3 U20$4
________ ________ ________ ________ ________
96 97 98 99 100
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
0 0 0 0 0
NU
U6 U7 U8 U9 U10
________ ________ ________ ________ ________
0 0 0 0 0
NU
U11 U12 U13 U14 U15
________ ________ ________ ________ ________
0 0 0 0 0
NU
U16 U17 U18 U19 U20
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
F
________
U1 1
U2 2
U3 3
U4 4
U5 5
U6 6
U7 7
U8 8
U9 9
U10 10
U11 11
U12 12
U13 13
U14 14
U15 15
U16 16
U17 17
U18 18
U19 19
U20 20
THETA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1 0
U2 0 0
U3 0 0 0
U4 0 0 0 0
U5 0 0 0 0 0
U6 0 0 0 0 0
U7 0 0 0 0 0
U8 0 0 0 0 0
U9 0 0 0 0 0
U10 0 0 0 0 0
U11 0 0 0 0 0
U12 0 0 0 0 0
U13 0 0 0 0 0
U14 0 0 0 0 0
U15 0 0 0 0 0
U16 0 0 0 0 0
U17 0 0 0 0 0
U18 0 0 0 0 0
U19 0 0 0 0 0
U20 0 0 0 0 0
THETA
U6 U7 U8 U9 U10
________ ________ ________ ________ ________
U6 0
U7 0 0
U8 0 0 0
U9 0 0 0 0
U10 0 0 0 0 0
U11 0 0 0 0 0
U12 0 0 0 0 0
U13 0 0 0 0 0
U14 0 0 0 0 0
U15 0 0 0 0 0
U16 0 0 0 0 0
U17 0 0 0 0 0
U18 0 0 0 0 0
U19 0 0 0 0 0
U20 0 0 0 0 0
THETA
U11 U12 U13 U14 U15
________ ________ ________ ________ ________
U11 0
U12 0 0
U13 0 0 0
U14 0 0 0 0
U15 0 0 0 0 0
U16 0 0 0 0 0
U17 0 0 0 0 0
U18 0 0 0 0 0
U19 0 0 0 0 0
U20 0 0 0 0 0
THETA
U16 U17 U18 U19 U20
________ ________ ________ ________ ________
U16 0
U17 0 0
U18 0 0 0
U19 0 0 0 0
U20 0 0 0 0 0
ALPHA
F
________
0
BETA
F
________
F 0
PSI
F
________
F 0
STARTING VALUES
TAU
U1$1 U1$2 U1$3 U1$4 U2$1
________ ________ ________ ________ ________
1.052 -0.366 0.660 -0.832 1.060
TAU
U2$2 U2$3 U2$4 U3$1 U3$2
________ ________ ________ ________ ________
-0.483 0.744 -0.877 1.016 -0.369
TAU
U3$3 U3$4 U4$1 U4$2 U4$3
________ ________ ________ ________ ________
0.610 -0.813 1.128 -0.504 0.696
TAU
U4$4 U5$1 U5$2 U5$3 U5$4
________ ________ ________ ________ ________
-0.806 1.053 -0.426 0.715 -0.850
TAU
U6$1 U6$2 U6$3 U6$4 U7$1
________ ________ ________ ________ ________
1.052 -0.433 0.658 -0.804 1.020
TAU
U7$2 U7$3 U7$4 U8$1 U8$2
________ ________ ________ ________ ________
-0.389 0.614 -0.743 1.101 -0.481
TAU
U8$3 U8$4 U9$1 U9$2 U9$3
________ ________ ________ ________ ________
0.698 -0.795 1.038 -0.457 0.707
TAU
U9$4 U10$1 U10$2 U10$3 U10$4
________ ________ ________ ________ ________
-0.834 1.075 -0.443 0.670 -0.840
TAU
U11$1 U11$2 U11$3 U11$4 U12$1
________ ________ ________ ________ ________
1.111 -0.471 0.676 -0.807 1.105
TAU
U12$2 U12$3 U12$4 U13$1 U13$2
________ ________ ________ ________ ________
-0.515 0.715 -0.800 1.111 -0.476
TAU
U13$3 U13$4 U14$1 U14$2 U14$3
________ ________ ________ ________ ________
0.644 -0.791 1.112 -0.504 0.674
TAU
U14$4 U15$1 U15$2 U15$3 U15$4
________ ________ ________ ________ ________
-0.837 1.057 -0.409 0.618 -0.793
TAU
U16$1 U16$2 U16$3 U16$4 U17$1
________ ________ ________ ________ ________
1.060 -0.387 0.546 -0.741 0.999
TAU
U17$2 U17$3 U17$4 U18$1 U18$2
________ ________ ________ ________ ________
-0.361 0.614 -0.768 1.148 -0.500
TAU
U18$3 U18$4 U19$1 U19$2 U19$3
________ ________ ________ ________ ________
0.664 -0.843 1.124 -0.503 0.695
TAU
U19$4 U20$1 U20$2 U20$3 U20$4
________ ________ ________ ________ ________
-0.843 1.012 -0.388 0.560 -0.702
NU
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U6 U7 U8 U9 U10
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U11 U12 U13 U14 U15
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U16 U17 U18 U19 U20
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
F
________
U1 1.000
U2 1.000
U3 1.000
U4 1.000
U5 1.000
U6 1.000
U7 1.000
U8 1.000
U9 1.000
U10 1.000
U11 1.000
U12 1.000
U13 1.000
U14 1.000
U15 1.000
U16 1.000
U17 1.000
U18 1.000
U19 1.000
U20 1.000
THETA
U1 U2 U3 U4 U5
________ ________ ________ ________ ________
U1 1.000
U2 0.000 1.000
U3 0.000 0.000 1.000
U4 0.000 0.000 0.000 1.000
U5 0.000 0.000 0.000 0.000 1.000
U6 0.000 0.000 0.000 0.000 0.000
U7 0.000 0.000 0.000 0.000 0.000
U8 0.000 0.000 0.000 0.000 0.000
U9 0.000 0.000 0.000 0.000 0.000
U10 0.000 0.000 0.000 0.000 0.000
U11 0.000 0.000 0.000 0.000 0.000
U12 0.000 0.000 0.000 0.000 0.000
U13 0.000 0.000 0.000 0.000 0.000
U14 0.000 0.000 0.000 0.000 0.000
U15 0.000 0.000 0.000 0.000 0.000
U16 0.000 0.000 0.000 0.000 0.000
U17 0.000 0.000 0.000 0.000 0.000
U18 0.000 0.000 0.000 0.000 0.000
U19 0.000 0.000 0.000 0.000 0.000
U20 0.000 0.000 0.000 0.000 0.000
THETA
U6 U7 U8 U9 U10
________ ________ ________ ________ ________
U6 1.000
U7 0.000 1.000
U8 0.000 0.000 1.000
U9 0.000 0.000 0.000 1.000
U10 0.000 0.000 0.000 0.000 1.000
U11 0.000 0.000 0.000 0.000 0.000
U12 0.000 0.000 0.000 0.000 0.000
U13 0.000 0.000 0.000 0.000 0.000
U14 0.000 0.000 0.000 0.000 0.000
U15 0.000 0.000 0.000 0.000 0.000
U16 0.000 0.000 0.000 0.000 0.000
U17 0.000 0.000 0.000 0.000 0.000
U18 0.000 0.000 0.000 0.000 0.000
U19 0.000 0.000 0.000 0.000 0.000
U20 0.000 0.000 0.000 0.000 0.000
THETA
U11 U12 U13 U14 U15
________ ________ ________ ________ ________
U11 1.000
U12 0.000 1.000
U13 0.000 0.000 1.000
U14 0.000 0.000 0.000 1.000
U15 0.000 0.000 0.000 0.000 1.000
U16 0.000 0.000 0.000 0.000 0.000
U17 0.000 0.000 0.000 0.000 0.000
U18 0.000 0.000 0.000 0.000 0.000
U19 0.000 0.000 0.000 0.000 0.000
U20 0.000 0.000 0.000 0.000 0.000
THETA
U16 U17 U18 U19 U20
________ ________ ________ ________ ________
U16 1.000
U17 0.000 1.000
U18 0.000 0.000 1.000
U19 0.000 0.000 0.000 1.000
U20 0.000 0.000 0.000 0.000 1.000
ALPHA
F
________
0.000
BETA
F
________
F 0.000
PSI
F
________
F 1.000
TECHNICAL 8 OUTPUT
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.12678920D+06 0.0000000 0.0000000 EM
2 -0.12179181D+06 4997.3920372 0.0394150 EM
3 -0.12168778D+06 104.0329214 0.0008542 EM
4 -0.12167601D+06 11.7633239 0.0000967 EM
5 -0.12166697D+06 9.0409311 0.0000743 EM
6 -0.12165985D+06 7.1228628 0.0000585 EM
7 -0.12162454D+06 35.3127037 0.0002903 FS
8 -0.12162113D+06 3.4010235 0.0000280 FS
9 -0.12162110D+06 0.0344081 0.0000003 FS
10 -0.12162110D+06 0.0024837 0.0000000 FS
11 -0.12162110D+06 0.0000715 0.0000000 FS
SAMPLE STATISTICS FOR ESTIMATED FACTOR SCORES
SAMPLE STATISTICS
Means
F F_SE
________ ________
0.000 0.237
Covariances
F F_SE
________ ________
F 0.936
F_SE -0.028 0.007
Correlations
F F_SE
________ ________
F 1.000
F_SE -0.336 1.000
PLOT INFORMATION
The following plots are available:
Histograms (sample values, estimated factor scores)
Scatterplots (sample values, estimated factor scores)
Sample proportions and estimated probabilities
Item characteristic curves
Information curves
Latent variable distribution plots
Beginning Time: 23:11:30
Ending Time: 23:11:35
Elapsed Time: 00:00:05
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