Mplus VERSION 7.2
MUTHEN & MUTHEN
05/07/2014   2:37 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a Monte Carlo
  	simulation study where parameter estimates
  	saved from a real data analysis are used
  	for true population parameter values for
  	data generation and coverage
  MONTECARLO:
  	NAMES ARE y1-y10 x1 x2;
  	NOBSERVATIONS = 500;
  	NREPS = 500;
  	SEED = 45335;
  	POPULATION = ex12.7estimates.dat;
  	COVERAGE = ex12.7estimates.dat;
  MODEL POPULATION:
  	f1 BY y1-y5;
  	f2 BY y6-y10;
  	f1 ON x1 x2;
  	f2 ON x1 x2;
  MODEL:	f1 BY y1-y5;
  	f2 BY y6-y10;
  	f1 ON x1 x2;
  	f2 ON x1 x2;
  OUTPUT:	TECH9;



INPUT READING TERMINATED NORMALLY



this is an example of a Monte Carlo
simulation study where parameter estimates
saved from a real data analysis are used
for true population parameter values for
data generation and coverage

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
    Requested                                                  500
    Completed                                                  500
Value of seed                                                45335

Number of dependent variables                                   10
Number of independent variables                                  2
Number of continuous latent variables                            2

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6
   Y7          Y8          Y9          Y10

Observed independent variables
   X1          X2

Continuous latent variables
   F1          F2


Estimator                                                       ML
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20



SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1         1.850         1.836         1.899         1.850         1.886


           Means
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1         2.851         2.807         2.878         2.856         2.872


           Means
              X1            X2
              ________      ________
      1         1.070         1.006


           Covariances
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.333
 Y2             0.961         1.561
 Y3             1.017         1.051         1.470
 Y4             0.957         1.056         1.061         1.598
 Y5             1.029         1.058         1.121         1.107         1.567
 Y6             0.565         0.552         0.633         0.576         0.698
 Y7             0.681         0.676         0.699         0.747         0.812
 Y8             0.576         0.624         0.591         0.625         0.695
 Y9             0.643         0.672         0.712         0.625         0.743
 Y10            0.648         0.585         0.642         0.661         0.730
 X1             0.464         0.478         0.490         0.464         0.568
 X2             0.863         0.861         0.910         0.866         0.885


           Covariances
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6             1.685
 Y7             1.076         1.955
 Y8             0.864         1.168         1.650
 Y9             1.084         1.256         1.072         2.006
 Y10            0.908         1.127         0.959         1.137         1.638
 X1             0.685         0.772         0.652         0.830         0.735
 X2             0.426         0.614         0.494         0.476         0.505


           Covariances
              X1            X2
              ________      ________
 X1             1.660
 X2            -0.030         1.841


           Correlations
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.666         1.000
 Y3             0.726         0.693         1.000
 Y4             0.655         0.668         0.692         1.000
 Y5             0.712         0.676         0.739         0.700         1.000
 Y6             0.377         0.341         0.402         0.351         0.429
 Y7             0.422         0.387         0.412         0.423         0.464
 Y8             0.388         0.389         0.380         0.385         0.432
 Y9             0.393         0.380         0.414         0.349         0.419
 Y10            0.439         0.366         0.414         0.409         0.455
 X1             0.312         0.297         0.313         0.285         0.352
 X2             0.551         0.508         0.553         0.505         0.521


           Correlations
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6             1.000
 Y7             0.593         1.000
 Y8             0.518         0.650         1.000
 Y9             0.590         0.634         0.589         1.000
 Y10            0.547         0.630         0.584         0.628         1.000
 X1             0.410         0.428         0.394         0.455         0.446
 X2             0.242         0.324         0.284         0.248         0.291


           Correlations
              X1            X2
              ________      ________
 X1             1.000
 X2            -0.017         1.000


MODEL FIT INFORMATION

Number of Free Parameters                       35

Loglikelihood

    H0 Value

        Mean                             -6570.990
        Std Dev                             49.957
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.988        -6687.205      -6691.527
           0.980       0.980        -6673.587      -6675.336
           0.950       0.946        -6653.164      -6654.896
           0.900       0.882        -6635.015      -6641.324
           0.800       0.800        -6613.034      -6613.729
           0.700       0.714        -6597.188      -6595.015
           0.500       0.514        -6570.990      -6569.507
           0.300       0.288        -6544.793      -6546.713
           0.200       0.192        -6528.947      -6530.438
           0.100       0.108        -6506.966      -6505.379
           0.050       0.056        -6488.817      -6486.102
           0.020       0.018        -6468.394      -6470.308
           0.010       0.006        -6454.776      -6462.627

    H1 Value

        Mean                             -6545.782
        Std Dev                             50.387
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.992        -6662.997      -6661.422
           0.980       0.980        -6649.261      -6650.085
           0.950       0.948        -6628.663      -6630.385
           0.900       0.884        -6610.358      -6614.444
           0.800       0.794        -6588.188      -6589.736
           0.700       0.722        -6572.205      -6569.147
           0.500       0.516        -6545.782      -6544.401
           0.300       0.296        -6519.359      -6520.194
           0.200       0.198        -6503.377      -6503.708
           0.100       0.102        -6481.207      -6481.083
           0.050       0.058        -6462.901      -6459.946
           0.020       0.020        -6442.303      -6443.127
           0.010       0.004        -6428.568      -6433.752

Information Criteria

    Akaike (AIC)

        Mean                             13211.981
        Std Dev                             99.913
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.994        12979.552      12985.832
           0.980       0.982        13006.789      13009.108
           0.950       0.944        13047.633      13042.200
           0.900       0.892        13083.932      13077.204
           0.800       0.808        13127.894      13129.870
           0.700       0.712        13159.586      13163.303
           0.500       0.486        13211.981      13208.786
           0.300       0.286        13264.376      13259.658
           0.200       0.200        13296.068      13295.693
           0.100       0.118        13340.030      13347.584
           0.050       0.054        13376.329      13377.820
           0.020       0.020        13417.173      13413.859
           0.010       0.012        13444.410      13445.263

    Bayesian (BIC)

        Mean                             13359.492
        Std Dev                             99.913
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.994        13127.064      13133.343
           0.980       0.982        13154.300      13156.619
           0.950       0.944        13195.145      13189.711
           0.900       0.892        13231.443      13224.715
           0.800       0.808        13275.405      13277.381
           0.700       0.712        13307.098      13310.815
           0.500       0.486        13359.492      13356.297
           0.300       0.286        13411.887      13407.169
           0.200       0.200        13443.579      13443.204
           0.100       0.118        13487.541      13495.095
           0.050       0.054        13523.840      13525.332
           0.020       0.020        13564.685      13561.370
           0.010       0.012        13591.921      13592.774

    Sample-Size Adjusted BIC (n* = (n + 2) / 24)

        Mean                             13248.400
        Std Dev                             99.913
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.994        13015.971      13022.251
           0.980       0.982        13043.208      13045.527
           0.950       0.944        13084.052      13078.619
           0.900       0.892        13120.351      13113.623
           0.800       0.808        13164.313      13166.289
           0.700       0.712        13196.005      13199.722
           0.500       0.486        13248.400      13245.205
           0.300       0.286        13300.795      13296.077
           0.200       0.200        13332.487      13332.112
           0.100       0.118        13376.449      13384.003
           0.050       0.054        13412.748      13414.240
           0.020       0.020        13453.592      13450.278
           0.010       0.012        13480.829      13481.682

Chi-Square Test of Model Fit

        Degrees of freedom                      50

        Mean                                50.417
        Std Dev                             10.291
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.982           29.707         25.251
           0.980       0.974           31.664         29.989
           0.950       0.928           34.764         33.322
           0.900       0.902           37.689         37.514
           0.800       0.828           41.449         42.102
           0.700       0.730           44.313         44.951
           0.500       0.514           49.335         49.742
           0.300       0.330           54.723         55.991
           0.200       0.220           58.164         58.802
           0.100       0.124           63.167         64.286
           0.050       0.054           67.505         67.591
           0.020       0.018           72.613         71.647
           0.010       0.012           76.154         76.267

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.008
        Std Dev                              0.010
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000           -0.015          0.000
           0.980       1.000           -0.012          0.000
           0.950       1.000           -0.008          0.000
           0.900       1.000           -0.004          0.000
           0.800       0.490            0.000          0.000
           0.700       0.474            0.003          0.000
           0.500       0.424            0.008          0.000
           0.300       0.332            0.014          0.015
           0.200       0.250            0.017          0.019
           0.100       0.144            0.021          0.024
           0.050       0.086            0.025          0.027
           0.020       0.022            0.029          0.029
           0.010       0.014            0.032          0.032

SRMR (Standardized Root Mean Square Residual)

        Mean                                 0.017
        Std Dev                              0.002
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.996            0.011          0.012
           0.980       0.994            0.012          0.012
           0.950       0.964            0.013          0.013
           0.900       0.916            0.013          0.014
           0.800       0.814            0.015          0.015
           0.700       0.682            0.015          0.015
           0.500       0.468            0.017          0.016
           0.300       0.262            0.018          0.018
           0.200       0.194            0.019          0.019
           0.100       0.098            0.020          0.020
           0.050       0.068            0.021          0.021
           0.020       0.034            0.022          0.023
           0.010       0.024            0.022          0.023


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 F1       BY
  Y1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  1.074     1.0756     0.0548     0.0520     0.0030 0.946 1.000
  Y3                  1.113     1.1162     0.0507     0.0501     0.0026 0.950 1.000
  Y4                  1.059     1.0637     0.0519     0.0515     0.0027 0.968 1.000
  Y5                  1.067     1.0709     0.0518     0.0500     0.0027 0.942 1.000

 F2       BY
  Y6                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y7                  1.081     1.0873     0.0577     0.0571     0.0034 0.938 1.000
  Y8                  0.943     0.9474     0.0551     0.0541     0.0030 0.948 1.000
  Y9                  1.047     1.0524     0.0601     0.0570     0.0036 0.930 1.000
  Y10                 1.008     1.0132     0.0561     0.0553     0.0032 0.948 1.000

 F1       ON
  X1                  0.262     0.2616     0.0241     0.0233     0.0006 0.936 1.000
  X2                  0.459     0.4579     0.0282     0.0277     0.0008 0.950 1.000

 F2       ON
  X1                  0.482     0.4802     0.0317     0.0312     0.0010 0.932 1.000
  X2                  0.295     0.2933     0.0306     0.0302     0.0009 0.944 1.000

 F2       WITH
  F1                  0.205     0.2019     0.0291     0.0288     0.0009 0.930 1.000

 Intercepts
  Y1                  1.097     1.0971     0.0604     0.0583     0.0036 0.938 1.000
  Y2                  1.004     1.0033     0.0636     0.0625     0.0040 0.950 1.000
  Y3                  0.999     1.0002     0.0628     0.0604     0.0039 0.942 1.000
  Y4                  1.059     1.0564     0.0638     0.0619     0.0041 0.950 1.000
  Y5                  1.092     1.0916     0.0631     0.0601     0.0040 0.946 1.000
  Y6                  1.991     1.9951     0.0710     0.0713     0.0050 0.944 1.000
  Y7                  1.912     1.9141     0.0770     0.0718     0.0059 0.934 1.000
  Y8                  2.079     2.0798     0.0693     0.0685     0.0048 0.948 1.000
  Y9                  1.961     1.9588     0.0768     0.0720     0.0059 0.938 1.000
  Y10                 2.013     2.0130     0.0693     0.0698     0.0048 0.962 1.000

 Residual Variances
  Y1                  0.469     0.4662     0.0361     0.0350     0.0013 0.936 1.000
  Y2                  0.535     0.5356     0.0397     0.0403     0.0016 0.938 1.000
  Y3                  0.410     0.4091     0.0298     0.0334     0.0009 0.978 1.000
  Y4                  0.529     0.5272     0.0383     0.0396     0.0015 0.952 1.000
  Y5                  0.458     0.4538     0.0349     0.0353     0.0012 0.962 1.000
  Y6                  0.794     0.7890     0.0590     0.0589     0.0035 0.946 1.000
  Y7                  0.675     0.6739     0.0515     0.0540     0.0026 0.960 1.000
  Y8                  0.749     0.7507     0.0531     0.0554     0.0028 0.964 1.000
  Y9                  0.744     0.7395     0.0568     0.0570     0.0032 0.950 1.000
  Y10                 0.712     0.7076     0.0555     0.0542     0.0031 0.942 1.000
  F1                  0.407     0.3999     0.0417     0.0394     0.0018 0.918 1.000
  F2                  0.546     0.5416     0.0612     0.0582     0.0038 0.928 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.783E-02
       (ratio of smallest to largest eigenvalue)


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1           1             2             3             4             5


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
      1           6             7             8             9            10


           NU
              X1            X2
              ________      ________
      1           0             0


           LAMBDA
              F1            F2            X1            X2
              ________      ________      ________      ________
 Y1                 0             0             0             0
 Y2                11             0             0             0
 Y3                12             0             0             0
 Y4                13             0             0             0
 Y5                14             0             0             0
 Y6                 0             0             0             0
 Y7                 0            15             0             0
 Y8                 0            16             0             0
 Y9                 0            17             0             0
 Y10                0            18             0             0
 X1                 0             0             0             0
 X2                 0             0             0             0


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                19
 Y2                 0            20
 Y3                 0             0            21
 Y4                 0             0             0            22
 Y5                 0             0             0             0            23
 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
 X1                 0             0             0             0             0
 X2                 0             0             0             0             0


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6                24
 Y7                 0            25
 Y8                 0             0            26
 Y9                 0             0             0            27
 Y10                0             0             0             0            28
 X1                 0             0             0             0             0
 X2                 0             0             0             0             0


           THETA
              X1            X2
              ________      ________
 X1                 0
 X2                 0             0


           ALPHA
              F1            F2            X1            X2
              ________      ________      ________      ________
      1           0             0             0             0


           BETA
              F1            F2            X1            X2
              ________      ________      ________      ________
 F1                 0             0            29            30
 F2                 0             0            31            32
 X1                 0             0             0             0
 X2                 0             0             0             0


           PSI
              F1            F2            X1            X2
              ________      ________      ________      ________
 F1                33
 F2                34            35
 X1                 0             0             0
 X2                 0             0             0             0


     STARTING VALUES


           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
              X1            X2
              ________      ________
      1         0.000         0.000


           LAMBDA
              F1            F2            X1            X2
              ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000
 Y2             1.045         0.000         0.000         0.000
 Y3             1.095         0.000         0.000         0.000
 Y4             1.068         0.000         0.000         0.000
 Y5             1.115         0.000         0.000         0.000
 Y6             0.000         1.000         0.000         0.000
 Y7             0.000         1.227         0.000         0.000
 Y8             0.000         1.042         0.000         0.000
 Y9             0.000         1.209         0.000         0.000
 Y10            0.000         1.058         0.000         0.000
 X1             0.000         0.000         1.000         0.000
 X2             0.000         0.000         0.000         1.000


           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
 X1             0.000         0.000         0.000         0.000         0.000
 X2             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
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000


           THETA
              X1            X2
              ________      ________
 X1             0.000
 X2             0.000         0.000


           ALPHA
              F1            F2            X1            X2
              ________      ________      ________      ________
      1         0.000         0.000         1.070         1.006


           BETA
              F1            F2            X1            X2
              ________      ________      ________      ________
 F1             0.000         0.000         0.000         0.000
 F2             0.000         0.000         0.000         0.000
 X1             0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000


           PSI
              F1            F2            X1            X2
              ________      ________      ________      ________
 F1             0.050
 F2             0.000         0.050
 X1             0.000         0.000         1.660
 X2             0.000         0.000        -0.030         1.841


     POPULATION VALUES


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1              1.097         1.004         0.999         1.059         1.092


           NU
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 1              1.991         1.912         2.079         1.961         2.013


           NU
              X1            X2
              ________      ________
 1              0.000         0.000


           LAMBDA
              F1            F2            X1            X2
              ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000
 Y2             1.074         0.000         0.000         0.000
 Y3             1.113         0.000         0.000         0.000
 Y4             1.059         0.000         0.000         0.000
 Y5             1.067         0.000         0.000         0.000
 Y6             0.000         1.000         0.000         0.000
 Y7             0.000         1.081         0.000         0.000
 Y8             0.000         0.943         0.000         0.000
 Y9             0.000         1.047         0.000         0.000
 Y10            0.000         1.008         0.000         0.000
 X1             0.000         0.000         1.000         0.000
 X2             0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.469
 Y2             0.000         0.535
 Y3             0.000         0.000         0.410
 Y4             0.000         0.000         0.000         0.529
 Y5             0.000         0.000         0.000         0.000         0.458
 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
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            Y7            Y8            Y9            Y10
              ________      ________      ________      ________      ________
 Y6             0.794
 Y7             0.000         0.675
 Y8             0.000         0.000         0.749
 Y9             0.000         0.000         0.000         0.744
 Y10            0.000         0.000         0.000         0.000         0.712
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000


           THETA
              X1            X2
              ________      ________
 X1             0.000
 X2             0.000         0.000


           ALPHA
              F1            F2            X1            X2
              ________      ________      ________      ________
 1              0.000         0.000         1.023         1.042


           BETA
              F1            F2            X1            X2
              ________      ________      ________      ________
 F1             0.000         0.000         0.262         0.459
 F2             0.000         0.000         0.482         0.295
 X1             0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000


           PSI
              F1            F2            X1            X2
              ________      ________      ________      ________
 F1             0.407
 F2             0.205         0.546
 X1             0.000         0.000         2.030
 X2             0.000         0.000        -0.021         1.719


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



     Beginning Time:  14:37:41
        Ending Time:  14:37:45
       Elapsed Time:  00:00:04



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