Mplus VERSION 3.0
MUTHEN & MUTHEN
03/29/2004 11:17 PM
INPUT INSTRUCTIONS
title: Study E
catstudye.inp
montecarlo:
file is mcgrowth3.dat;
names are y1-y12;
ngroups = 1;
nobs = 250;
nreps = 500;
seed = 598587;
categorical = y1-y12;
generate = y1-y12(3);
cutpoints = y1(-.7 0 .2) y2-y11(-.7 0 .7) y12(-.2 0 .7);
analysis:
type = meanstructure;
parameterization = theta;
model:
f1 by y1*.3 !first loading different at 1st time
y2@1
y3*.8 (1);
f2 by y4*.6 (2)
y5@1
y6*.8 (1);
f3 by y7*.6 (2)
y8@1
y9*.8 (1);
f4 by y10*.6 (2)
y11@1
y12*.3 ; !last loading different at 4th time
y1-y3@.5;
y4-y12*.5;
i by f1-f4@1;
s by f1@0 f2@1 f3@2 f4@3;
i*.5; s*.1; s with i*0;
[i*.5 s*-.5];
!note that the f1 residual variance is now identified:
f1*.5 f2*.6 f3*.9 f4*1.4;
f1 with f2-f4@0;
f2 with f3-f4@0;
f3 with f4@0;
[y1$1*-.7] (3);
[y1$2*0] (4);
[y1$3*.2] ; !last threshold, 1st item different at 1st time
[y2$1*-.7] (6);
[y2$2@0]; !anchor item, identifying the factor mean
[y2$3*.7] (8);
[y3$1*-.7] (9);
[y3$2*0] (10);
[y3$3*.7] (11);
[y4$1*-.7] (3);
[y4$2*0] (4);
[y4$3*.7] (5);
[y5$1*-.7] (6);
[y5$2@0]; !anchor item, identifying the factor mean
[y5$3*.7] (8);
[y6$1*-.7] (9);
[y6$2*0] (10);
[y6$3*.7] (11);
[y7$1*-.7] (3);
[y7$2*0] (4);
[y7$3*.7] (5);
[y8$1*-.7] (6);
[y8$2@0]; !anchor item, identifying the factor mean
[y8$3*.7] (8);
[y9$1*-.7] (9);
[y9$2*0] (10);
[y9$3*.7] (11);
[y10$1*-.7] (3);
[y10$2*0] (4);
[y10$3*.7] (5);
[y11$1*-.7] (6);
[y11$2@0]; !anchor item, identifying the factor mean
[y11$3*.7] (8);
[y12$1*-.2] ; !first threshold, 3rd item different at 4th time
[y12$2*0] (10);
[y12$3*.7] (11);
INPUT READING TERMINATED NORMALLY
Study E
catstudye.inp
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 250
Number of replications
Requested 500
Completed 500
Value of seed 598587
Number of dependent variables 12
Number of independent variables 0
Number of continuous latent variables 6
Observed dependent variables
Binary and ordered categorical (ordinal)
Y1 Y2 Y3 Y4 Y5 Y6
Y7 Y8 Y9 Y10 Y11 Y12
Continuous latent variables
F1 F2 F3 F4 I S
Estimator WLSMV
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Parameterization THETA
Input data file
mcgrowth3.dat
Input data format FREE
POPULATION VALUES FOR DATA GENERATION
.15 .50 .40 0 0 0 -.30 -.50 -.40 -.60 -1.00 -0.30
.59
.30 1.5
.24 .80 1.14
.09 .30 .24 .932
.15 .50 .40 .72 1.70
.12 .40 .32 .576 .96 1.268
.09 .30 .24 .252 .42 .336 1.148
.15 .50 .40 .42 .70 .448 1.08 2.30
.12 .40 .32 .336 .56 .448 .864 1.44 1.652
.09 .30 .24 .288 .48 .384 .396 .66 .528 1.508
.15 .50 .40 .48 .80 .64 .66 1.10 .88 1.68 3.30
.045 .15 .12 .144 .24 .192 .198 .33 .264 .504 .84 .752
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means/Intercepts/Thresholds
Y1$1 Y1$2 Y1$3 Y2$1 Y2$2
________ ________ ________ ________ ________
1 -1.117 -0.151 0.131 -0.915 -0.285
Means/Intercepts/Thresholds
Y2$3 Y3$1 Y3$2 Y3$3 Y4$1
________ ________ ________ ________ ________
1 0.305 -0.915 -0.285 0.380 -0.693
Means/Intercepts/Thresholds
Y4$2 Y4$3 Y5$1 Y5$2 Y5$3
________ ________ ________ ________ ________
1 0.181 0.900 -0.402 0.090 0.619
Means/Intercepts/Thresholds
Y6$1 Y6$2 Y6$3 Y7$1 Y7$2
________ ________ ________ ________ ________
1 -0.548 0.080 0.681 -0.423 0.295
Means/Intercepts/Thresholds
Y7$3 Y8$1 Y8$2 Y8$3 Y9$1
________ ________ ________ ________ ________
1 0.962 -0.060 0.327 0.931 -0.285
Means/Intercepts/Thresholds
Y9$2 Y9$3 Y10$1 Y10$2 Y10$3
________ ________ ________ ________ ________
1 0.316 0.842 -0.040 0.536 1.136
Means/Intercepts/Thresholds
Y11$1 Y11$2 Y11$3 Y12$1 Y12$2
________ ________ ________ ________ ________
1 0.171 0.583 0.946 0.080 0.316
Means/Intercepts/Thresholds
Y12$3
________
1 1.216
Covariances/Correlations/Residual Correlations
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
Y1
Y2 0.310
Y3 0.216 0.580
Y4 0.076 0.257 0.163
Y5 0.181 0.306 0.304 0.660
Y6 0.182 0.344 0.236 0.594 0.703
Y7 0.154 0.174 0.181 0.258 0.274
Y8 0.226 0.260 0.325 0.346 0.398
Y9 0.163 0.149 0.241 0.379 0.422
Y10 0.143 0.352 0.236 0.326 0.231
Y11 0.129 0.329 0.303 0.370 0.366
Y12 0.062 0.129 0.100 0.148 0.078
Covariances/Correlations/Residual Correlations
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
Y7 0.258
Y8 0.326 0.694
Y9 0.319 0.634 0.768
Y10 0.243 0.363 0.445 0.267
Y11 0.266 0.403 0.448 0.399 0.760
Y12 0.170 0.243 0.195 0.157 0.419
Covariances/Correlations/Residual Correlations
Y11 Y12
________ ________
Y12 0.470
CHI-SQUARE P-VALUES
Expected Observed
0.990 0.998
0.980 0.992
0.950 0.976
0.900 0.932
0.800 0.860
0.700 0.772
0.500 0.560
0.300 0.324
0.200 0.214
0.100 0.126
0.050 0.068
0.020 0.032
0.010 0.016
MODEL RESULTS
ESTIMATES STANDARD ERRORS 95%
Average Std. Dev. Average Std. Dev. Cover
F1 BY
Y1 0.3151 0.1012 0.0986 0.0194 0.954
Y2 1.0000 0.0000 0.0000 0.0000 1.000
Y3 0.8266 0.2226 0.2219 0.0572 0.972
F2 BY
Y4 0.6046 0.1359 0.1358 0.0247 0.950
Y5 1.0000 0.0000 0.0000 0.0000 1.000
Y6 0.8266 0.2226 0.2219 0.0572 0.972
F3 BY
Y7 0.6046 0.1359 0.1358 0.0247 0.950
Y8 1.0000 0.0000 0.0000 0.0000 1.000
Y9 0.8266 0.2226 0.2219 0.0572 0.972
F4 BY
Y10 0.6046 0.1359 0.1358 0.0247 0.950
Y11 1.0000 0.0000 0.0000 0.0000 1.000
Y12 0.3134 0.1089 0.1043 0.0344 0.928
I BY
F1 1.0000 0.0000 0.0000 0.0000 1.000
F2 1.0000 0.0000 0.0000 0.0000 1.000
F3 1.0000 0.0000 0.0000 0.0000 1.000
F4 1.0000 0.0000 0.0000 0.0000 1.000
S BY
F1 0.0000 0.0000 0.0000 0.0000 1.000
F2 1.0000 0.0000 0.0000 0.0000 1.000
F3 2.0000 0.0000 0.0000 0.0000 1.000
F4 3.0000 0.0000 0.0000 0.0000 1.000
S WITH
I 0.0033 0.0815 0.0830 0.0514 0.994
F1 WITH
F2 0.0000 0.0000 0.0000 0.0000 1.000
F3 0.0000 0.0000 0.0000 0.0000 1.000
F4 0.0000 0.0000 0.0000 0.0000 1.000
F2 WITH
F3 0.0000 0.0000 0.0000 0.0000 1.000
F4 0.0000 0.0000 0.0000 0.0000 1.000
F3 WITH
F4 0.0000 0.0000 0.0000 0.0000 1.000
Means
I 0.5123 0.1195 0.1200 0.0565 0.956
S -0.5190 0.1105 0.1077 0.0638 0.952
Thresholds
Y1$1 -0.7024 0.0774 0.0776 0.0046 0.954
Y1$2 -0.0003 0.0426 0.0430 0.0042 0.956
Y1$3 0.2052 0.0677 0.0690 0.0037 0.962
Y2$1 -0.7268 0.1524 0.1416 0.0884 0.950
Y2$2 0.0000 0.0000 0.0000 0.0000 1.000
Y2$3 0.7217 0.1344 0.1341 0.0798 0.954
Y3$1 -0.7163 0.1013 0.0972 0.0224 0.948
Y3$2 -0.0055 0.0485 0.0483 0.0073 0.950
Y3$3 0.7083 0.1059 0.1055 0.0250 0.944
Y4$1 -0.7024 0.0774 0.0776 0.0046 0.954
Y4$2 -0.0003 0.0426 0.0430 0.0042 0.956
Y4$3 0.7056 0.1077 0.1066 0.0134 0.940
Y5$1 -0.7268 0.1524 0.1416 0.0884 0.950
Y5$2 0.0000 0.0000 0.0000 0.0000 1.000
Y5$3 0.7217 0.1344 0.1341 0.0798 0.954
Y6$1 -0.7163 0.1013 0.0972 0.0224 0.948
Y6$2 -0.0055 0.0485 0.0483 0.0073 0.950
Y6$3 0.7083 0.1059 0.1055 0.0250 0.944
Y7$1 -0.7024 0.0774 0.0776 0.0046 0.954
Y7$2 -0.0003 0.0426 0.0430 0.0042 0.956
Y7$3 0.7056 0.1077 0.1066 0.0134 0.940
Y8$1 -0.7268 0.1524 0.1416 0.0884 0.950
Y8$2 0.0000 0.0000 0.0000 0.0000 1.000
Y8$3 0.7217 0.1344 0.1341 0.0798 0.954
Y9$1 -0.7163 0.1013 0.0972 0.0224 0.948
Y9$2 -0.0055 0.0485 0.0483 0.0073 0.950
Y9$3 0.7083 0.1059 0.1055 0.0250 0.944
Y10$1 -0.7024 0.0774 0.0776 0.0046 0.954
Y10$2 -0.0003 0.0426 0.0430 0.0042 0.956
Y10$3 0.7056 0.1077 0.1066 0.0134 0.940
Y11$1 -0.7268 0.1524 0.1416 0.0884 0.950
Y11$2 0.0000 0.0000 0.0000 0.0000 1.000
Y11$3 0.7217 0.1344 0.1341 0.0798 0.954
Y12$1 -0.2191 0.0911 0.0902 0.0221 0.962
Y12$2 -0.0055 0.0485 0.0483 0.0073 0.950
Y12$3 0.7083 0.1059 0.1055 0.0250 0.944
Variances
I 0.5657 0.3480 0.2882 0.3566 0.940
S 0.1156 0.0797 0.0766 0.0719 0.950
Residual Variances
Y1 0.5000 0.0000 0.0000 0.0000 1.000
Y2 0.5000 0.0000 0.0000 0.0000 1.000
Y3 0.5000 0.0000 0.0000 0.0000 1.000
Y4 0.5183 0.1714 0.1553 0.0501 0.930
Y5 0.5501 0.3013 0.2790 0.2651 0.916
Y6 0.5609 0.2233 0.2000 0.0880 0.938
Y7 0.5240 0.1697 0.1627 0.0505 0.938
Y8 0.6047 0.3618 0.3189 0.3253 0.944
Y9 0.5276 0.2079 0.1975 0.0871 0.936
Y10 0.5242 0.2027 0.1871 0.0683 0.934
Y11 0.5779 0.5288 0.4090 0.5150 0.912
Y12 0.5376 0.2139 0.1994 0.0931 0.912
F1 0.5572 0.3416 0.3229 0.3336 0.924
F2 0.6921 0.3872 0.3428 0.3494 0.916
F3 1.0458 0.5720 0.5154 0.5723 0.936
F4 1.5862 0.8403 0.8058 0.7019 0.908
TECHNICAL OUTPUT
PARAMETER SPECIFICATION
TAU
Y1$1 Y1$2 Y1$3 Y2$1 Y2$2
________ ________ ________ ________ ________
1 1 2 3 4 0
TAU
Y2$3 Y3$1 Y3$2 Y3$3 Y4$1
________ ________ ________ ________ ________
1 5 6 7 8 1
TAU
Y4$2 Y4$3 Y5$1 Y5$2 Y5$3
________ ________ ________ ________ ________
1 2 9 4 0 5
TAU
Y6$1 Y6$2 Y6$3 Y7$1 Y7$2
________ ________ ________ ________ ________
1 6 7 8 1 2
TAU
Y7$3 Y8$1 Y8$2 Y8$3 Y9$1
________ ________ ________ ________ ________
1 9 4 0 5 6
TAU
Y9$2 Y9$3 Y10$1 Y10$2 Y10$3
________ ________ ________ ________ ________
1 7 8 1 2 9
TAU
Y11$1 Y11$2 Y11$3 Y12$1 Y12$2
________ ________ ________ ________ ________
1 4 0 5 10 7
TAU
Y12$3
________
1 8
NU
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
1 0 0 0 0 0
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
1 0 0 0 0 0
NU
Y11 Y12
________ ________
1 0 0
LAMBDA
F1 F2 F3 F4 I
________ ________ ________ ________ ________
Y1 11 0 0 0 0
Y2 0 0 0 0 0
Y3 12 0 0 0 0
Y4 0 13 0 0 0
Y5 0 0 0 0 0
Y6 0 12 0 0 0
Y7 0 0 13 0 0
Y8 0 0 0 0 0
Y9 0 0 12 0 0
Y10 0 0 0 13 0
Y11 0 0 0 0 0
Y12 0 0 0 14 0
LAMBDA
S
________
Y1 0
Y2 0
Y3 0
Y4 0
Y5 0
Y6 0
Y7 0
Y8 0
Y9 0
Y10 0
Y11 0
Y12 0
THETA
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
Y1 0
Y2 0 0
Y3 0 0 0
Y4 0 0 0 15
Y5 0 0 0 0 16
Y6 0 0 0 0 0
Y7 0 0 0 0 0
Y8 0 0 0 0 0
Y9 0 0 0 0 0
Y10 0 0 0 0 0
Y11 0 0 0 0 0
Y12 0 0 0 0 0
THETA
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
Y6 17
Y7 0 18
Y8 0 0 19
Y9 0 0 0 20
Y10 0 0 0 0 21
Y11 0 0 0 0 0
Y12 0 0 0 0 0
THETA
Y11 Y12
________ ________
Y11 22
Y12 0 23
ALPHA
F1 F2 F3 F4 I
________ ________ ________ ________ ________
1 0 0 0 0 24
ALPHA
S
________
1 25
BETA
F1 F2 F3 F4 I
________ ________ ________ ________ ________
F1 0 0 0 0 0
F2 0 0 0 0 0
F3 0 0 0 0 0
F4 0 0 0 0 0
I 0 0 0 0 0
S 0 0 0 0 0
BETA
S
________
F1 0
F2 0
F3 0
F4 0
I 0
S 0
PSI
F1 F2 F3 F4 I
________ ________ ________ ________ ________
F1 26
F2 0 27
F3 0 0 28
F4 0 0 0 29
I 0 0 0 0 30
S 0 0 0 0 31
PSI
S
________
S 32
STARTING VALUES
TAU
Y1$1 Y1$2 Y1$3 Y2$1 Y2$2
________ ________ ________ ________ ________
1 -0.700 0.000 0.200 -0.700 0.000
TAU
Y2$3 Y3$1 Y3$2 Y3$3 Y4$1
________ ________ ________ ________ ________
1 0.700 -0.700 0.000 0.700 -0.700
TAU
Y4$2 Y4$3 Y5$1 Y5$2 Y5$3
________ ________ ________ ________ ________
1 0.000 0.700 -0.700 0.000 0.700
TAU
Y6$1 Y6$2 Y6$3 Y7$1 Y7$2
________ ________ ________ ________ ________
1 -0.700 0.000 0.700 -0.700 0.000
TAU
Y7$3 Y8$1 Y8$2 Y8$3 Y9$1
________ ________ ________ ________ ________
1 0.700 -0.700 0.000 0.700 -0.700
TAU
Y9$2 Y9$3 Y10$1 Y10$2 Y10$3
________ ________ ________ ________ ________
1 0.000 0.700 -0.700 0.000 0.700
TAU
Y11$1 Y11$2 Y11$3 Y12$1 Y12$2
________ ________ ________ ________ ________
1 -0.700 0.000 0.700 -0.200 0.000
TAU
Y12$3
________
1 0.700
NU
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
Y11 Y12
________ ________
1 0.000 0.000
LAMBDA
F1 F2 F3 F4 I
________ ________ ________ ________ ________
Y1 0.300 0.000 0.000 0.000 0.000
Y2 1.000 0.000 0.000 0.000 0.000
Y3 0.800 0.000 0.000 0.000 0.000
Y4 0.000 0.600 0.000 0.000 0.000
Y5 0.000 1.000 0.000 0.000 0.000
Y6 0.000 0.800 0.000 0.000 0.000
Y7 0.000 0.000 0.600 0.000 0.000
Y8 0.000 0.000 1.000 0.000 0.000
Y9 0.000 0.000 0.800 0.000 0.000
Y10 0.000 0.000 0.000 0.600 0.000
Y11 0.000 0.000 0.000 1.000 0.000
Y12 0.000 0.000 0.000 0.300 0.000
LAMBDA
S
________
Y1 0.000
Y2 0.000
Y3 0.000
Y4 0.000
Y5 0.000
Y6 0.000
Y7 0.000
Y8 0.000
Y9 0.000
Y10 0.000
Y11 0.000
Y12 0.000
THETA
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
Y1 0.500
Y2 0.000 0.500
Y3 0.000 0.000 0.500
Y4 0.000 0.000 0.000 0.500
Y5 0.000 0.000 0.000 0.000 0.500
Y6 0.000 0.000 0.000 0.000 0.000
Y7 0.000 0.000 0.000 0.000 0.000
Y8 0.000 0.000 0.000 0.000 0.000
Y9 0.000 0.000 0.000 0.000 0.000
Y10 0.000 0.000 0.000 0.000 0.000
Y11 0.000 0.000 0.000 0.000 0.000
Y12 0.000 0.000 0.000 0.000 0.000
THETA
Y6 Y7 Y8 Y9 Y10
________ ________ ________ ________ ________
Y6 0.500
Y7 0.000 0.500
Y8 0.000 0.000 0.500
Y9 0.000 0.000 0.000 0.500
Y10 0.000 0.000 0.000 0.000 0.500
Y11 0.000 0.000 0.000 0.000 0.000
Y12 0.000 0.000 0.000 0.000 0.000
THETA
Y11 Y12
________ ________
Y11 0.500
Y12 0.000 0.500
ALPHA
F1 F2 F3 F4 I
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.500
ALPHA
S
________
1 -0.500
BETA
F1 F2 F3 F4 I
________ ________ ________ ________ ________
F1 0.000 0.000 0.000 0.000 1.000
F2 0.000 0.000 0.000 0.000 1.000
F3 0.000 0.000 0.000 0.000 1.000
F4 0.000 0.000 0.000 0.000 1.000
I 0.000 0.000 0.000 0.000 0.000
S 0.000 0.000 0.000 0.000 0.000
BETA
S
________
F1 0.000
F2 1.000
F3 2.000
F4 3.000
I 0.000
S 0.000
PSI
F1 F2 F3 F4 I
________ ________ ________ ________ ________
F1 0.500
F2 0.000 0.600
F3 0.000 0.000 0.900
F4 0.000 0.000 0.000 1.400
I 0.000 0.000 0.000 0.000 0.500
S 0.000 0.000 0.000 0.000 0.000
PSI
S
________
S 0.100
Beginning Time: 23:17:12
Ending Time: 23:19:21
Elapsed Time: 00:02:09
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