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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