Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  10:01 PM

INPUT INSTRUCTIONS

  TITLE: this is an example of BSEM analysis of a MIMIC model
      with cross-loadings and direct effects
      (same data generation as for ex5.8)
  MONTECARLO:
      NAMES = y1-y6 x1-x3;
  	NOBSERVATIONS = 500;
  	NREPS = 1;
  	save = ex5.32.dat;

  MODEL POPULATION:

  	[x1@0 x2@1 x3@2]; x1@3 x2@2 x3@1;
  	
  	f1 by y1@1 y2-y3*1;
  	f2 by y4@1 y5-y6*1;
  	f1 on x1*.5 x2*.6 x3*.7;
  	f2 on x1*.7 x2*.6 x3*.5;

  	f1-f2*.7;
  	f1 with f2*.25;
  	
  	y1-y6*.5;

  MODEL:	

  	f1 by y1@1 y2-y3*1;
  	f2 by y4@1 y5-y6*1;
  	f1 on x1*.5 x2*.6 x3*.7;
  	f2 on x1*.7 x2*.6 x3*.5;

  	f1-f2*.7;
  	f1 with f2*.25;
  	
  	y1-y6*.5;
  	
  OUTPUT:
  	TECH9;	



INPUT READING TERMINATED NORMALLY



this is an example of BSEM analysis of a MIMIC model
with cross-loadings and direct effects
(same data generation as for ex5.8)

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                    0

Number of dependent variables                                    6
Number of independent variables                                  3
Number of continuous latent variables                            2

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6

Observed independent variables
   X1          X2          X3

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         2.066         2.088         2.088         1.663         1.623


           Means
              Y6            X1            X2            X3
              ________      ________      ________      ________
      1         1.596        -0.061         1.033         2.090


           Covariances
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             3.227
 Y2             2.790         3.388
 Y3             2.752         2.847         3.295
 Y4             2.385         2.441         2.434         3.595
 Y5             2.206         2.305         2.296         2.990         3.290
 Y6             2.248         2.344         2.374         2.953         2.905
 X1             1.426         1.486         1.500         2.044         1.964
 X2             1.367         1.411         1.356         1.380         1.364
 X3             0.727         0.722         0.737         0.429         0.404


           Covariances
              Y6            X1            X2            X3
              ________      ________      ________      ________
 Y6             3.434
 X1             1.957         2.921
 X2             1.465         0.176         2.082
 X3             0.418        -0.151         0.125         1.042


           Correlations
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.844         1.000
 Y3             0.844         0.852         1.000
 Y4             0.700         0.699         0.707         1.000
 Y5             0.677         0.690         0.697         0.869         1.000
 Y6             0.675         0.687         0.706         0.841         0.864
 X1             0.465         0.472         0.484         0.631         0.634
 X2             0.527         0.531         0.518         0.504         0.521
 X3             0.396         0.384         0.398         0.222         0.218


           Correlations
              Y6            X1            X2            X3
              ________      ________      ________      ________
 Y6             1.000
 X1             0.618         1.000
 X2             0.548         0.071         1.000
 X3             0.221        -0.087         0.085         1.000


MODEL FIT INFORMATION

Number of Free Parameters                       25

Loglikelihood

    H0 Value

        Mean                             -4000.617
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -4000.617      -4000.617
           0.980       0.000        -4000.617      -4000.617
           0.950       0.000        -4000.617      -4000.617
           0.900       0.000        -4000.617      -4000.617
           0.800       0.000        -4000.617      -4000.617
           0.700       0.000        -4000.617      -4000.617
           0.500       0.000        -4000.617      -4000.617
           0.300       0.000        -4000.617      -4000.617
           0.200       0.000        -4000.617      -4000.617
           0.100       0.000        -4000.617      -4000.617
           0.050       0.000        -4000.617      -4000.617
           0.020       0.000        -4000.617      -4000.617
           0.010       0.000        -4000.617      -4000.617

    H1 Value

        Mean                             -3990.606
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -3990.606      -3990.606
           0.980       0.000        -3990.606      -3990.606
           0.950       0.000        -3990.606      -3990.606
           0.900       0.000        -3990.606      -3990.606
           0.800       0.000        -3990.606      -3990.606
           0.700       0.000        -3990.606      -3990.606
           0.500       0.000        -3990.606      -3990.606
           0.300       0.000        -3990.606      -3990.606
           0.200       0.000        -3990.606      -3990.606
           0.100       0.000        -3990.606      -3990.606
           0.050       0.000        -3990.606      -3990.606
           0.020       0.000        -3990.606      -3990.606
           0.010       0.000        -3990.606      -3990.606

Information Criteria

    Akaike (AIC)

        Mean                              8051.235
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         8051.235       8051.235
           0.980       0.000         8051.235       8051.235
           0.950       0.000         8051.235       8051.235
           0.900       0.000         8051.235       8051.235
           0.800       0.000         8051.235       8051.235
           0.700       0.000         8051.235       8051.235
           0.500       0.000         8051.235       8051.235
           0.300       0.000         8051.235       8051.235
           0.200       0.000         8051.235       8051.235
           0.100       0.000         8051.235       8051.235
           0.050       0.000         8051.235       8051.235
           0.020       0.000         8051.235       8051.235
           0.010       0.000         8051.235       8051.235

    Bayesian (BIC)

        Mean                              8156.600
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         8156.600       8156.600
           0.980       0.000         8156.600       8156.600
           0.950       0.000         8156.600       8156.600
           0.900       0.000         8156.600       8156.600
           0.800       0.000         8156.600       8156.600
           0.700       0.000         8156.600       8156.600
           0.500       0.000         8156.600       8156.600
           0.300       0.000         8156.600       8156.600
           0.200       0.000         8156.600       8156.600
           0.100       0.000         8156.600       8156.600
           0.050       0.000         8156.600       8156.600
           0.020       0.000         8156.600       8156.600
           0.010       0.000         8156.600       8156.600

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

        Mean                              8077.248
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         8077.248       8077.248
           0.980       0.000         8077.248       8077.248
           0.950       0.000         8077.248       8077.248
           0.900       0.000         8077.248       8077.248
           0.800       0.000         8077.248       8077.248
           0.700       0.000         8077.248       8077.248
           0.500       0.000         8077.248       8077.248
           0.300       0.000         8077.248       8077.248
           0.200       0.000         8077.248       8077.248
           0.100       0.000         8077.248       8077.248
           0.050       0.000         8077.248       8077.248
           0.020       0.000         8077.248       8077.248
           0.010       0.000         8077.248       8077.248

Chi-Square Test of Model Fit

        Degrees of freedom                      20

        Mean                                20.023
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            8.260         20.023
           0.980       1.000            9.237         20.023
           0.950       1.000           10.851         20.023
           0.900       1.000           12.443         20.023
           0.800       1.000           14.578         20.023
           0.700       1.000           16.266         20.023
           0.500       1.000           19.337         20.023
           0.300       0.000           22.775         20.023
           0.200       0.000           25.038         20.023
           0.100       0.000           28.412         20.023
           0.050       0.000           31.410         20.023
           0.020       0.000           35.020         20.023
           0.010       0.000           37.566         20.023

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.002
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.002          0.002
           0.980       0.000            0.002          0.002
           0.950       0.000            0.002          0.002
           0.900       0.000            0.002          0.002
           0.800       0.000            0.002          0.002
           0.700       0.000            0.002          0.002
           0.500       0.000            0.002          0.002
           0.300       0.000            0.002          0.002
           0.200       0.000            0.002          0.002
           0.100       0.000            0.002          0.002
           0.050       0.000            0.002          0.002
           0.020       0.000            0.002          0.002
           0.010       0.000            0.002          0.002

SRMR (Standardized Root Mean Square Residual)

        Mean                                 0.008
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.008          0.008
           0.980       0.000            0.008          0.008
           0.950       0.000            0.008          0.008
           0.900       0.000            0.008          0.008
           0.800       0.000            0.008          0.008
           0.700       0.000            0.008          0.008
           0.500       0.000            0.008          0.008
           0.300       0.000            0.008          0.008
           0.200       0.000            0.008          0.008
           0.100       0.000            0.008          0.008
           0.050       0.000            0.008          0.008
           0.020       0.000            0.008          0.008
           0.010       0.000            0.008          0.008


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               1.000     1.0324     0.0000     0.0297     0.0010 1.000 1.000
  Y3               1.000     1.0220     0.0000     0.0292     0.0005 1.000 1.000

 F2       BY
  Y4               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y5               1.000     0.9730     0.0000     0.0255     0.0007 1.000 1.000
  Y6               1.000     0.9765     0.0000     0.0273     0.0006 1.000 1.000

 F1       ON
  X1               0.500     0.4966     0.0000     0.0262     0.0000 1.000 1.000
  X2               0.600     0.5662     0.0000     0.0310     0.0011 1.000 1.000
  X3               0.700     0.6905     0.0000     0.0432     0.0001 1.000 1.000

 F2       ON
  X1               0.700     0.6784     0.0000     0.0262     0.0005 1.000 1.000
  X2               0.600     0.6011     0.0000     0.0297     0.0000 1.000 1.000
  X3               0.500     0.4323     0.0000     0.0404     0.0046 1.000 1.000

 F1       WITH
  F2               0.250     0.2282     0.0000     0.0396     0.0005 1.000 1.000

 Intercepts
  Y1               0.000     0.0684     0.0000     0.1081     0.0047 1.000 0.000
  Y2               0.000     0.0250     0.0000     0.1101     0.0006 1.000 0.000
  Y3               0.000     0.0457     0.0000     0.1086     0.0021 1.000 0.000
  Y4               0.000     0.1795     0.0000     0.1011     0.0322 1.000 0.000
  Y5               0.000     0.1803     0.0000     0.0962     0.0325 1.000 0.000
  Y6               0.000     0.1474     0.0000     0.0990     0.0217 1.000 0.000

 Residual Variances
  Y1               0.500     0.5294     0.0000     0.0460     0.0009 1.000 1.000
  Y2               0.500     0.5124     0.0000     0.0463     0.0002 1.000 1.000
  Y3               0.500     0.4772     0.0000     0.0442     0.0005 1.000 1.000
  Y4               0.500     0.5414     0.0000     0.0465     0.0017 1.000 1.000
  Y5               0.500     0.3989     0.0000     0.0380     0.0102 0.000 1.000
  Y6               0.500     0.5216     0.0000     0.0447     0.0005 1.000 1.000
  F1               0.700     0.7202     0.0000     0.0615     0.0004 1.000 1.000
  F2               0.700     0.6426     0.0000     0.0560     0.0033 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.364E-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            X1            X2            X3
              ________      ________      ________      ________
      1           6             0             0             0


           LAMBDA
              F1            F2            X1            X2            X3
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 7             0             0             0             0
 Y3                 8             0             0             0             0
 Y4                 0             0             0             0             0
 Y5                 0             9             0             0             0
 Y6                 0            10             0             0             0
 X1                 0             0             0             0             0
 X2                 0             0             0             0             0
 X3                 0             0             0             0             0


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                11
 Y2                 0            12
 Y3                 0             0            13
 Y4                 0             0             0            14
 Y5                 0             0             0             0            15
 Y6                 0             0             0             0             0
 X1                 0             0             0             0             0
 X2                 0             0             0             0             0
 X3                 0             0             0             0             0


           THETA
              Y6            X1            X2            X3
              ________      ________      ________      ________
 Y6                16
 X1                 0             0
 X2                 0             0             0
 X3                 0             0             0             0


           ALPHA
              F1            F2            X1            X2            X3
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           BETA
              F1            F2            X1            X2            X3
              ________      ________      ________      ________      ________
 F1                 0             0            17            18            19
 F2                 0             0            20            21            22
 X1                 0             0             0             0             0
 X2                 0             0             0             0             0
 X3                 0             0             0             0             0


           PSI
              F1            F2            X1            X2            X3
              ________      ________      ________      ________      ________
 F1                23
 F2                24            25
 X1                 0             0             0
 X2                 0             0             0             0
 X3                 0             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            X1            X2            X3
              ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000


           LAMBDA
              F1            F2            X1            X2            X3
              ________      ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             1.035         0.000         0.000         0.000         0.000
 Y3             1.021         0.000         0.000         0.000         0.000
 Y4             0.000         1.000         0.000         0.000         0.000
 Y5             0.000         0.984         0.000         0.000         0.000
 Y6             0.000         0.972         0.000         0.000         0.000
 X1             0.000         0.000         1.000         0.000         0.000
 X2             0.000         0.000         0.000         1.000         0.000
 X3             0.000         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
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            X1            X2            X3
              ________      ________      ________      ________
 Y6             0.500
 X1             0.000         0.000
 X2             0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000


           ALPHA
              F1            F2            X1            X2            X3
              ________      ________      ________      ________      ________
      1         0.000         0.000        -0.061         1.033         2.090


           BETA
              F1            F2            X1            X2            X3
              ________      ________      ________      ________      ________
 F1             0.000         0.000         0.500         0.600         0.700
 F2             0.000         0.000         0.700         0.600         0.500
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000         0.000


           PSI
              F1            F2            X1            X2            X3
              ________      ________      ________      ________      ________
 F1             0.700
 F2             0.250         0.700
 X1             0.000         0.000         2.921
 X2             0.000         0.000         0.176         2.082
 X3             0.000         0.000        -0.151         0.125         1.042


     POPULATION VALUES


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              Y6            X1            X2            X3
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           LAMBDA
              F1            F2            X1            X2            X3
              ________      ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             1.000         0.000         0.000         0.000         0.000
 Y3             1.000         0.000         0.000         0.000         0.000
 Y4             0.000         1.000         0.000         0.000         0.000
 Y5             0.000         1.000         0.000         0.000         0.000
 Y6             0.000         1.000         0.000         0.000         0.000
 X1             0.000         0.000         1.000         0.000         0.000
 X2             0.000         0.000         0.000         1.000         0.000
 X3             0.000         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
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            X1            X2            X3
              ________      ________      ________      ________
 Y6             0.500
 X1             0.000         0.000
 X2             0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000


           ALPHA
              F1            F2            X1            X2            X3
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         1.000         2.000


           BETA
              F1            F2            X1            X2            X3
              ________      ________      ________      ________      ________
 F1             0.000         0.000         0.500         0.600         0.700
 F2             0.000         0.000         0.700         0.600         0.500
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000         0.000


           PSI
              F1            F2            X1            X2            X3
              ________      ________      ________      ________      ________
 F1             0.700
 F2             0.250         0.700
 X1             0.000         0.000         3.000
 X2             0.000         0.000         0.000         2.000
 X3             0.000         0.000         0.000         0.000         1.000


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    Y1
    Y2
    Y3
    Y4
    Y5
    Y6
    X1
    X2
    X3

  Save file
    ex5.32.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:01:57
        Ending Time:  22:01:57
       Elapsed Time:  00:00:00



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