Mplus VERSION 3.0
MUTHEN & MUTHEN
03/29/2004  11:16 PM

INPUT INSTRUCTIONS

  title: Study A
      catstudya.inp
  montecarlo:
      file is mc.dat;
      names are v1-v6;
      ngroups = 2;
      nobs = 100 100;
      nreps = 500;
      seed = 598587;
      categorical = v1-v6;
      generate = v1-v6(3);
      cutpoints = v1-v2(-.7 0 .7) v3(-.8 0 .8)
                  v4-v5(-.7 0 .7) v6(-.8 0 .8);

  analysis:
      type = mgroup meanstructure;
      parameterization = theta;

  model:
      f by v1*.4 v2*.5 v3*.6 v4*.4 v5*.5 v6*.6;
      f@1;
      [v1$1*-.7] (1);
      [v1$2*0] (2);
      [v1$3*.7] (3);
      [v2$1*-.7] (4);
      [v2$2*0] (5);
      [v2$3*.7] (6);
      [v3$1*-.8] (7);
      [v3$2*0] (8);
      [v3$3*.8] (9);
      [v4$1*-.7] (10);
      [v4$2*0] (11);
      [v4$3*.7] (12);
      [v5$1*-.7] (13);
      [v5$2*0] (14);
      [v5$3*.7] (15);
      [v6$1*-.8] (16);
      [v6$2*0] (17);
      [v6$3*.8] (18);
  model g1:
      v1-v6@.30;
  model g2:
      [f*.25];
      f*1.2;
      v1-v6*.49;



INPUT READING TERMINATED NORMALLY



Study A
catstudya.inp

SUMMARY OF ANALYSIS

Number of groups                                                 2
Number of observations
   Group G1                                                    100
   Group G2                                                    100

Number of replications
    Requested                                                  500
    Completed                                                  500
Value of seed                                               598587

Number of dependent variables                                    6
Number of independent variables                                  0
Number of continuous latent variables                            1

Observed dependent variables

  Binary and ordered categorical (ordinal)
   V1          V2          V3          V4          V5          V6

Continuous latent variables
   F


Estimator                                                    WLSMV
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20
Parameterization                                             THETA
Input data file
  mc.dat

Input data format  FREE

POPULATION VALUES FOR DATA GENERATION

    0 0 0 0 0 0
    .46
    .20 .55
    .24 .30 .66
    .16 .20 .24 .46
    .20 .25 .30 .20 .55
    .24 .30 .36 .24 .30 .66
    .10 .125 .15 .10 .125 .15
    .682
    .24 .79
    .288 .36 .922
    .192 .24 .288 .682
    .24 .30 .36 .24 .79
    .288 .36 .432 .288 .36 .922



SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS FOR G1


           Means/Intercepts/Thresholds
              V1$1          V1$2          V1$3          V2$1          V2$2
              ________      ________      ________      ________      ________
      1        -0.994         0.202         1.227        -0.842         0.253


           Means/Intercepts/Thresholds
              V2$3          V3$1          V3$2          V3$3          V4$1
              ________      ________      ________      ________      ________
      1         1.080        -0.842         0.126         1.036        -0.954


           Means/Intercepts/Thresholds
              V4$2          V4$3          V5$1          V5$2          V5$3
              ________      ________      ________      ________      ________
      1         0.176         1.282        -0.954         0.253         1.282


           Means/Intercepts/Thresholds
              V6$1          V6$2          V6$3
              ________      ________      ________
      1        -0.994         0.253         1.405


           Covariances/Correlations/Residual Correlations
              V1            V2            V3            V4            V5
              ________      ________      ________      ________      ________
 V1
 V2             0.367
 V3             0.431         0.553
 V4             0.325         0.523         0.395
 V5             0.354         0.478         0.446         0.341
 V6             0.229         0.410         0.465         0.290         0.435


           Covariances/Correlations/Residual Correlations
              V6
              ________


     SAMPLE STATISTICS FOR G2


           Means/Intercepts/Thresholds
              V1$1          V1$2          V1$3          V2$1          V2$2
              ________      ________      ________      ________      ________
      1        -1.080        -0.305         0.613        -0.878        -0.202


           Means/Intercepts/Thresholds
              V2$3          V3$1          V3$2          V3$3          V4$1
              ________      ________      ________      ________      ________
      1         0.674        -0.806        -0.075         0.806        -0.954


           Means/Intercepts/Thresholds
              V4$2          V4$3          V5$1          V5$2          V5$3
              ________      ________      ________      ________      ________
      1         0.075         0.915        -1.036        -0.075         0.674


           Means/Intercepts/Thresholds
              V6$1          V6$2          V6$3
              ________      ________      ________
      1        -0.994        -0.075         0.674


           Covariances/Correlations/Residual Correlations
              V1            V2            V3            V4            V5
              ________      ________      ________      ________      ________
 V1
 V2             0.438
 V3             0.395         0.412
 V4             0.281         0.187         0.394
 V5             0.179         0.173         0.404         0.443
 V6             0.398         0.381         0.440         0.338         0.531


           Covariances/Correlations/Residual Correlations
              V6
              ________

CHI-SQUARE P-VALUES

     Expected     Observed
       0.990        0.994
       0.980        0.986
       0.950        0.964
       0.900        0.938
       0.800        0.836
       0.700        0.754
       0.500        0.546
       0.300        0.332
       0.200        0.226
       0.100        0.096
       0.050        0.054
       0.020        0.022
       0.010        0.014


MODEL RESULTS

                           ESTIMATES              STANDARD ERRORS       95%
                     Average     Std. Dev.     Average     Std. Dev.   Cover
Group G1

 F        BY
    V1                 0.4178       0.0828       0.0787       0.0129   0.956
    V2                 0.5209       0.1024       0.0958       0.0193   0.946
    V3                 0.6344       0.1301       0.1200       0.0334   0.966
    V4                 0.4151       0.0827       0.0786       0.0126   0.934
    V5                 0.5206       0.1037       0.0952       0.0195   0.946
    V6                 0.6282       0.1318       0.1184       0.0331   0.954

 Means
    F                  0.0000       0.0000       0.0000       0.0000   1.000

 Thresholds
    V1$1              -0.7116       0.1098       0.1041       0.0146   0.960
    V1$2               0.0023       0.0785       0.0742       0.0081   0.934
    V1$3               0.7195       0.1098       0.1045       0.0151   0.946
    V2$1              -0.7162       0.1185       0.1148       0.0184   0.942
    V2$2              -0.0001       0.0883       0.0831       0.0106   0.940
    V2$3               0.7221       0.1269       0.1159       0.0206   0.948
    V3$1              -0.8344       0.1576       0.1398       0.0335   0.934
    V3$2              -0.0010       0.1014       0.0940       0.0139   0.934
    V3$3               0.8254       0.1463       0.1402       0.0338   0.960
    V4$1              -0.7108       0.1023       0.1039       0.0138   0.964
    V4$2               0.0027       0.0776       0.0740       0.0080   0.934
    V4$3               0.7145       0.1122       0.1041       0.0150   0.930
    V5$1              -0.7145       0.1220       0.1147       0.0199   0.948
    V5$2              -0.0006       0.0889       0.0831       0.0106   0.938
    V5$3               0.7127       0.1173       0.1143       0.0192   0.948
    V6$1              -0.8275       0.1543       0.1385       0.0336   0.946
    V6$2              -0.0033       0.0963       0.0934       0.0139   0.948
    V6$3               0.8232       0.1471       0.1386       0.0327   0.934

 Variances
    F                  1.0000       0.0000       0.0000       0.0000   1.000

 Residual Variances
    V1                 0.3000       0.0000       0.0000       0.0000   1.000
    V2                 0.3000       0.0000       0.0000       0.0000   1.000
    V3                 0.3000       0.0000       0.0000       0.0000   1.000
    V4                 0.3000       0.0000       0.0000       0.0000   1.000
    V5                 0.3000       0.0000       0.0000       0.0000   1.000
    V6                 0.3000       0.0000       0.0000       0.0000   1.000

Group G2

 F        BY
    V1                 0.4178       0.0828       0.0787       0.0129   0.956
    V2                 0.5209       0.1024       0.0958       0.0193   0.946
    V3                 0.6344       0.1301       0.1200       0.0334   0.966
    V4                 0.4151       0.0827       0.0786       0.0126   0.934
    V5                 0.5206       0.1037       0.0952       0.0195   0.946
    V6                 0.6282       0.1318       0.1184       0.0331   0.954

 Means
    F                  0.2467       0.1728       0.1705       0.0130   0.930

 Thresholds
    V1$1              -0.7116       0.1098       0.1041       0.0146   0.960
    V1$2               0.0023       0.0785       0.0742       0.0081   0.934
    V1$3               0.7195       0.1098       0.1045       0.0151   0.946
    V2$1              -0.7162       0.1185       0.1148       0.0184   0.942
    V2$2              -0.0001       0.0883       0.0831       0.0106   0.940
    V2$3               0.7221       0.1269       0.1159       0.0206   0.948
    V3$1              -0.8344       0.1576       0.1398       0.0335   0.934
    V3$2              -0.0010       0.1014       0.0940       0.0139   0.934
    V3$3               0.8254       0.1463       0.1402       0.0338   0.960
    V4$1              -0.7108       0.1023       0.1039       0.0138   0.964
    V4$2               0.0027       0.0776       0.0740       0.0080   0.934
    V4$3               0.7145       0.1122       0.1041       0.0150   0.930
    V5$1              -0.7145       0.1220       0.1147       0.0199   0.948
    V5$2              -0.0006       0.0889       0.0831       0.0106   0.938
    V5$3               0.7127       0.1173       0.1143       0.0192   0.948
    V6$1              -0.8275       0.1543       0.1385       0.0336   0.946
    V6$2              -0.0033       0.0963       0.0934       0.0139   0.948
    V6$3               0.8232       0.1471       0.1386       0.0327   0.934

 Variances
    F                  1.2194       0.3369       0.3329       0.0930   0.946

 Residual Variances
    V1                 0.5265       0.2042       0.1716       0.0726   0.916
    V2                 0.5318       0.2311       0.1870       0.0879   0.914
    V3                 0.5387       0.2426       0.2010       0.1058   0.908
    V4                 0.5250       0.1931       0.1710       0.0693   0.932
    V5                 0.5236       0.2103       0.1844       0.0842   0.926
    V6                 0.5260       0.2267       0.1966       0.0990   0.904


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION FOR G1


           TAU
              V1$1          V1$2          V1$3          V2$1          V2$2
              ________      ________      ________      ________      ________
      1           1             2             3             4             5


           TAU
              V2$3          V3$1          V3$2          V3$3          V4$1
              ________      ________      ________      ________      ________
      1           6             7             8             9            10


           TAU
              V4$2          V4$3          V5$1          V5$2          V5$3
              ________      ________      ________      ________      ________
      1          11            12            13            14            15


           TAU
              V6$1          V6$2          V6$3
              ________      ________      ________
      1          16            17            18


           NU
              V1            V2            V3            V4            V5
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           NU
              V6
              ________
      1           0


           LAMBDA
              F
              ________
 V1                19
 V2                20
 V3                21
 V4                22
 V5                23
 V6                24


           THETA
              V1            V2            V3            V4            V5
              ________      ________      ________      ________      ________
 V1                 0
 V2                 0             0
 V3                 0             0             0
 V4                 0             0             0             0
 V5                 0             0             0             0             0
 V6                 0             0             0             0             0


           THETA
              V6
              ________
 V6                 0


           ALPHA
              F
              ________
      1           0


           BETA
              F
              ________
 F                  0


           PSI
              F
              ________
 F                  0


     PARAMETER SPECIFICATION FOR G2


           TAU
              V1$1          V1$2          V1$3          V2$1          V2$2
              ________      ________      ________      ________      ________
      1           1             2             3             4             5


           TAU
              V2$3          V3$1          V3$2          V3$3          V4$1
              ________      ________      ________      ________      ________
      1           6             7             8             9            10


           TAU
              V4$2          V4$3          V5$1          V5$2          V5$3
              ________      ________      ________      ________      ________
      1          11            12            13            14            15


           TAU
              V6$1          V6$2          V6$3
              ________      ________      ________
      1          16            17            18


           NU
              V1            V2            V3            V4            V5
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           NU
              V6
              ________
      1           0


           LAMBDA
              F
              ________
 V1                19
 V2                20
 V3                21
 V4                22
 V5                23
 V6                24


           THETA
              V1            V2            V3            V4            V5
              ________      ________      ________      ________      ________
 V1                25
 V2                 0            26
 V3                 0             0            27
 V4                 0             0             0            28
 V5                 0             0             0             0            29
 V6                 0             0             0             0             0


           THETA
              V6
              ________
 V6                30


           ALPHA
              F
              ________
      1          31


           BETA
              F
              ________
 F                  0


           PSI
              F
              ________
 F                 32


     STARTING VALUES FOR G1


           TAU
              V1$1          V1$2          V1$3          V2$1          V2$2
              ________      ________      ________      ________      ________
      1        -0.700         0.000         0.700        -0.700         0.000


           TAU
              V2$3          V3$1          V3$2          V3$3          V4$1
              ________      ________      ________      ________      ________
      1         0.700        -0.800         0.000         0.800        -0.700


           TAU
              V4$2          V4$3          V5$1          V5$2          V5$3
              ________      ________      ________      ________      ________
      1         0.000         0.700        -0.700         0.000         0.700


           TAU
              V6$1          V6$2          V6$3
              ________      ________      ________
      1        -0.800         0.000         0.800


           NU
              V1            V2            V3            V4            V5
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           NU
              V6
              ________
      1         0.000


           LAMBDA
              F
              ________
 V1             0.400
 V2             0.500
 V3             0.600
 V4             0.400
 V5             0.500
 V6             0.600


           THETA
              V1            V2            V3            V4            V5
              ________      ________      ________      ________      ________
 V1             0.300
 V2             0.000         0.300
 V3             0.000         0.000         0.300
 V4             0.000         0.000         0.000         0.300
 V5             0.000         0.000         0.000         0.000         0.300
 V6             0.000         0.000         0.000         0.000         0.000


           THETA
              V6
              ________
 V6             0.300


           ALPHA
              F
              ________
      1         0.000


           BETA
              F
              ________
 F              0.000


           PSI
              F
              ________
 F              1.000


     STARTING VALUES FOR G2


           TAU
              V1$1          V1$2          V1$3          V2$1          V2$2
              ________      ________      ________      ________      ________
      1        -0.700         0.000         0.700        -0.700         0.000


           TAU
              V2$3          V3$1          V3$2          V3$3          V4$1
              ________      ________      ________      ________      ________
      1         0.700        -0.800         0.000         0.800        -0.700


           TAU
              V4$2          V4$3          V5$1          V5$2          V5$3
              ________      ________      ________      ________      ________
      1         0.000         0.700        -0.700         0.000         0.700


           TAU
              V6$1          V6$2          V6$3
              ________      ________      ________
      1        -0.800         0.000         0.800


           NU
              V1            V2            V3            V4            V5
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           NU
              V6
              ________
      1         0.000


           LAMBDA
              F
              ________
 V1             0.400
 V2             0.500
 V3             0.600
 V4             0.400
 V5             0.500
 V6             0.600


           THETA
              V1            V2            V3            V4            V5
              ________      ________      ________      ________      ________
 V1             0.490
 V2             0.000         0.490
 V3             0.000         0.000         0.490
 V4             0.000         0.000         0.000         0.490
 V5             0.000         0.000         0.000         0.000         0.490
 V6             0.000         0.000         0.000         0.000         0.000


           THETA
              V6
              ________
 V6             0.490


           ALPHA
              F
              ________
      1         0.250


           BETA
              F
              ________
 F              0.000


           PSI
              F
              ________
 F              1.200


     Beginning Time:  23:16:02
        Ending Time:  23:16:36
       Elapsed Time:  00:00:34



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