Mplus VERSION 7.3
MUTHEN & MUTHEN
09/22/2014   5:17 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a CFA with categorical factor indicators

  montecarlo:
  	names = u1-u6;
  	generate = u1-u6(1);
  	categorical = u1-u6;
  	nobs = 500;
  	nreps = 1;
  	save = ex5.2.dat;

  model montecarlo:

  	f1 by u1@1 u2-u3*1;
  	f2 by u4@1 u5-u6*1;
  	u1-u6*.2;
  	f1-f2*.8;

  	! note that u* variances should be 1
  	! in order for the Delta parameterization
  	! to give estimates in the correct metric

  model:	
  	f1 by u1@1 u2-u3*1;
  	f2 by u4@1 u5-u6*1;

  	f1-f2*.8;

  output:
  	tech9;




INPUT READING TERMINATED NORMALLY



this is an example of a CFA with categorical factor indicators

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                                  0
Number of continuous latent variables                            2

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4          U5          U6

Continuous latent variables
   F1          F2


Estimator                                                    WLSMV
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20
Parameterization                                             DELTA



SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means/Intercepts/Thresholds
              U1$1          U2$1          U3$1          U4$1          U5$1
              ________      ________      ________      ________      ________
      1         0.010         0.015        -0.010         0.060         0.020


           Means/Intercepts/Thresholds
              U6$1
              ________
      1         0.025


           Covariances/Correlations/Residual Correlations
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
 U1
 U2             0.854
 U3             0.802         0.855
 U4             0.025        -0.070         0.026
 U5             0.012        -0.082        -0.037         0.817
 U6            -0.007        -0.013        -0.044         0.758         0.841


           Covariances/Correlations/Residual Correlations
              U6
              ________


MODEL FIT INFORMATION

Number of Free Parameters                       13

Chi-Square Test of Model Fit

        Degrees of freedom                       8

        Mean                                 5.482
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            1.646          5.482
           0.980       1.000            2.032          5.482
           0.950       1.000            2.733          5.482
           0.900       1.000            3.490          5.482
           0.800       1.000            4.594          5.482
           0.700       0.000            5.527          5.482
           0.500       0.000            7.344          5.482
           0.300       0.000            9.524          5.482
           0.200       0.000           11.030          5.482
           0.100       0.000           13.362          5.482
           0.050       0.000           15.507          5.482
           0.020       0.000           18.168          5.482
           0.010       0.000           20.090          5.482

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations        1

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

WRMR (Weighted Root Mean Square Residual)

        Mean                                 0.342
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.342          0.342
           0.980       0.000            0.342          0.342
           0.950       0.000            0.342          0.342
           0.900       0.000            0.342          0.342
           0.800       0.000            0.342          0.342
           0.700       0.000            0.342          0.342
           0.500       0.000            0.342          0.342
           0.300       0.000            0.342          0.342
           0.200       0.000            0.342          0.342
           0.100       0.000            0.342          0.342
           0.050       0.000            0.342          0.342
           0.020       0.000            0.342          0.342
           0.010       0.000            0.342          0.342


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 F1       BY
  U1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U2                  1.000     1.0673     0.0000     0.0433     0.0045 1.000 1.000
  U3                  1.000     1.0008     0.0000     0.0386     0.0000 1.000 1.000

 F2       BY
  U4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U5                  1.000     1.1094     0.0000     0.0542     0.0120 0.000 1.000
  U6                  1.000     1.0297     0.0000     0.0468     0.0009 1.000 1.000

 F2       WITH
  F1                  0.000    -0.0209     0.0000     0.0485     0.0004 1.000 0.000

 Thresholds
  U1$1                0.000     0.0100     0.0000     0.0561     0.0001 1.000 0.000
  U2$1                0.000     0.0150     0.0000     0.0561     0.0002 1.000 0.000
  U3$1                0.000    -0.0100     0.0000     0.0561     0.0001 1.000 0.000
  U4$1                0.000     0.0602     0.0000     0.0561     0.0036 1.000 0.000
  U5$1                0.000     0.0201     0.0000     0.0561     0.0004 1.000 0.000
  U6$1                0.000     0.0251     0.0000     0.0561     0.0006 1.000 0.000

 Variances
  F1                  0.800     0.8005     0.0000     0.0459     0.0000 1.000 1.000
  F2                  0.800     0.7362     0.0000     0.0522     0.0041 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.200E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           TAU
              U1$1          U2$1          U3$1          U4$1          U5$1
              ________      ________      ________      ________      ________
      1           1             2             3             4             5


           TAU
              U6$1
              ________
      1           6


           NU
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           NU
              U6
              ________
      1           0


           LAMBDA
              F1            F2
              ________      ________
 U1                 0             0
 U2                 7             0
 U3                 8             0
 U4                 0             0
 U5                 0             9
 U6                 0            10


           ALPHA
              F1            F2
              ________      ________
      1           0             0


           BETA
              F1            F2
              ________      ________
 F1                 0             0
 F2                 0             0


           PSI
              F1            F2
              ________      ________
 F1                11
 F2                12            13


     STARTING VALUES


           TAU
              U1$1          U2$1          U3$1          U4$1          U5$1
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           TAU
              U6$1
              ________
      1         0.000


           NU
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           NU
              U6
              ________
      1         0.000


           LAMBDA
              F1            F2
              ________      ________
 U1             1.000         0.000
 U2             1.066         0.000
 U3             1.000         0.000
 U4             0.000         1.000
 U5             0.000         1.109
 U6             0.000         1.030


           ALPHA
              F1            F2
              ________      ________
      1         0.000         0.000


           BETA
              F1            F2
              ________      ________
 F1             0.000         0.000
 F2             0.000         0.000


           PSI
              F1            F2
              ________      ________
 F1             0.800
 F2             0.000         0.800


     POPULATION VALUES


           TAU
              U1$1          U2$1          U3$1          U4$1          U5$1
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           TAU
              U6$1
              ________
 1              0.000


           NU
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              U6
              ________
 1              0.000


           LAMBDA
              F1            F2
              ________      ________
 U1             1.000         0.000
 U2             1.000         0.000
 U3             1.000         0.000
 U4             0.000         1.000
 U5             0.000         1.000
 U6             0.000         1.000


           THETA
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
 U1             0.200
 U2             0.000         0.200
 U3             0.000         0.000         0.200
 U4             0.000         0.000         0.000         0.200
 U5             0.000         0.000         0.000         0.000         0.200
 U6             0.000         0.000         0.000         0.000         0.000


           THETA
              U6
              ________
 U6             0.200


           ALPHA
              F1            F2
              ________      ________
 1              0.000         0.000


           BETA
              F1            F2
              ________      ________
 F1             0.000         0.000
 F2             0.000         0.000


           PSI
              F1            F2
              ________      ________
 F1             0.800
 F2             0.000         0.800


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    U1
    U2
    U3
    U4
    U5
    U6

  Save file
    ex5.2.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  17:17:51
        Ending Time:  17:17:51
       Elapsed Time:  00:00:00



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