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

INPUT INSTRUCTIONS

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

  montecarlo:
  	names = u1-u12;
  	generate = u1-u12(1);
  	categorical = u1-u12;
  	nobs = 500;
  	nreps = 1;
  	save = ex4.2.dat;

  model population:
  	f1 by u1-u3*.7;
  	f2 by u4-u6*.7;
  	f3 by u7-u9*.7;
  	f4 by u10-u12*.7;
  	u1-u12*.51;
  	!V*u*) = 1 so that the parameter metric matches
  	!that of the Delta parameterization
  	f1-f4@1;

  model:	
  	f1 by u1-u3*.7;
  	f2 by u4-u6*.7;
  	f3 by u7-u9*.7;
  	f4 by u10-u12*.7;
  	
  	f1-f4@1;

  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                                   12
Number of independent variables                                  0
Number of continuous latent variables                            4

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4          U5          U6
   U7          U8          U9          U10         U11         U12

Continuous latent variables
   F1          F2          F3          F4


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        -0.015        -0.040         0.070         0.010        -0.035


           Means/Intercepts/Thresholds
              U6$1          U7$1          U8$1          U9$1          U10$1
              ________      ________      ________      ________      ________
      1         0.010        -0.010        -0.020         0.035        -0.010


           Means/Intercepts/Thresholds
              U11$1         U12$1
              ________      ________
      1        -0.025         0.005


           Covariances/Correlations/Residual Correlations
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
 U1
 U2             0.593
 U3             0.422         0.642
 U4             0.019         0.038         0.050
 U5            -0.051        -0.096        -0.216         0.552
 U6            -0.019         0.026        -0.026         0.426         0.488
 U7             0.119         0.025         0.038        -0.113         0.069
 U8             0.094        -0.051        -0.024        -0.063         0.018
 U9             0.051         0.045        -0.009        -0.019         0.001
 U10           -0.144        -0.013        -0.062        -0.050        -0.082
 U11           -0.076         0.030        -0.055        -0.069        -0.039
 U12            0.063         0.094         0.056        -0.132        -0.150


           Covariances/Correlations/Residual Correlations
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
 U7             0.038
 U8             0.101         0.578
 U9             0.131         0.542         0.477
 U10           -0.125         0.012         0.012         0.032
 U11           -0.119        -0.044        -0.107        -0.087         0.562
 U12           -0.082        -0.044        -0.031         0.038         0.409


           Covariances/Correlations/Residual Correlations
              U11           U12
              ________      ________
 U12            0.547


MODEL FIT INFORMATION

Number of Free Parameters                       30

Chi-Square Test of Model Fit

        Degrees of freedom                      48

        Mean                                56.595
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000           28.177         56.595
           0.980       1.000           30.080         56.595
           0.950       1.000           33.098         56.595
           0.900       1.000           35.949         56.595
           0.800       1.000           39.621         56.595
           0.700       1.000           42.420         56.595
           0.500       1.000           47.335         56.595
           0.300       1.000           52.616         56.595
           0.200       1.000           55.993         56.595
           0.100       0.000           60.907         56.595
           0.050       0.000           65.171         56.595
           0.020       0.000           70.197         56.595
           0.010       0.000           73.683         56.595

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.019
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.019          0.019
           0.980       0.000            0.019          0.019
           0.950       0.000            0.019          0.019
           0.900       0.000            0.019          0.019
           0.800       0.000            0.019          0.019
           0.700       0.000            0.019          0.019
           0.500       0.000            0.019          0.019
           0.300       0.000            0.019          0.019
           0.200       0.000            0.019          0.019
           0.100       0.000            0.019          0.019
           0.050       0.000            0.019          0.019
           0.020       0.000            0.019          0.019
           0.010       0.000            0.019          0.019

WRMR (Weighted Root Mean Square Residual)

        Mean                                 0.758
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.758          0.758
           0.980       0.000            0.758          0.758
           0.950       0.000            0.758          0.758
           0.900       0.000            0.758          0.758
           0.800       0.000            0.758          0.758
           0.700       0.000            0.758          0.758
           0.500       0.000            0.758          0.758
           0.300       0.000            0.758          0.758
           0.200       0.000            0.758          0.758
           0.100       0.000            0.758          0.758
           0.050       0.000            0.758          0.758
           0.020       0.000            0.758          0.758
           0.010       0.000            0.758          0.758


MODEL RESULTS

                           ESTIMATES              S. E.     M. S. E.  95%  % Sig
              Population   Average   Std. Dev.   Average             Cover Coeff
 F1       BY
  U1               0.700     0.6345     0.0000     0.0580     0.0043 1.000 1.000
  U2               0.700     0.9296     0.0000     0.0638     0.0527 0.000 1.000
  U3               0.700     0.6872     0.0000     0.0588     0.0002 1.000 1.000

 F2       BY
  U4               0.700     0.6707     0.0000     0.0650     0.0009 1.000 1.000
  U5               0.700     0.8114     0.0000     0.0685     0.0124 1.000 1.000
  U6               0.700     0.6217     0.0000     0.0633     0.0061 1.000 1.000

 F3       BY
  U7               0.700     0.8112     0.0000     0.0620     0.0124 1.000 1.000
  U8               0.700     0.7119     0.0000     0.0600     0.0001 1.000 1.000
  U9               0.700     0.6690     0.0000     0.0593     0.0010 1.000 1.000

 F4       BY
  U10              0.700     0.6512     0.0000     0.0636     0.0024 1.000 1.000
  U11              0.700     0.8502     0.0000     0.0697     0.0226 0.000 1.000
  U12              0.700     0.6453     0.0000     0.0630     0.0030 1.000 1.000

 F2       WITH
  F1               0.000    -0.0673     0.0000     0.0724     0.0045 1.000 0.000

 F3       WITH
  F1               0.000     0.0519     0.0000     0.0716     0.0027 1.000 0.000
  F2               0.000     0.0312     0.0000     0.0750     0.0010 1.000 0.000

 F4       WITH
  F1               0.000    -0.0140     0.0000     0.0715     0.0002 1.000 0.000
  F2               0.000    -0.1776     0.0000     0.0726     0.0315 0.000 1.000
  F3               0.000    -0.0559     0.0000     0.0738     0.0031 1.000 0.000

 Thresholds
  U1$1             0.000    -0.0150     0.0000     0.0561     0.0002 1.000 0.000
  U2$1             0.000    -0.0401     0.0000     0.0561     0.0016 1.000 0.000
  U3$1             0.000     0.0703     0.0000     0.0561     0.0049 1.000 0.000
  U4$1             0.000     0.0100     0.0000     0.0561     0.0001 1.000 0.000
  U5$1             0.000    -0.0351     0.0000     0.0561     0.0012 1.000 0.000
  U6$1             0.000     0.0100     0.0000     0.0561     0.0001 1.000 0.000
  U7$1             0.000    -0.0100     0.0000     0.0561     0.0001 1.000 0.000
  U8$1             0.000    -0.0201     0.0000     0.0561     0.0004 1.000 0.000
  U9$1             0.000     0.0351     0.0000     0.0561     0.0012 1.000 0.000
  U10$1            0.000    -0.0100     0.0000     0.0561     0.0001 1.000 0.000
  U11$1            0.000    -0.0251     0.0000     0.0561     0.0006 1.000 0.000
  U12$1            0.000     0.0050     0.0000     0.0561     0.0000 1.000 0.000

 Variances
  F1               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  F2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  F3               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  F4               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.118E+00
       (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          U7$1          U8$1          U9$1          U10$1
              ________      ________      ________      ________      ________
      1           6             7             8             9            10


           TAU
              U11$1         U12$1
              ________      ________
      1          11            12


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


           NU
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           NU
              U11           U12
              ________      ________
      1           0             0


           LAMBDA
              F1            F2            F3            F4
              ________      ________      ________      ________
 U1                13             0             0             0
 U2                14             0             0             0
 U3                15             0             0             0
 U4                 0            16             0             0
 U5                 0            17             0             0
 U6                 0            18             0             0
 U7                 0             0            19             0
 U8                 0             0            20             0
 U9                 0             0            21             0
 U10                0             0             0            22
 U11                0             0             0            23
 U12                0             0             0            24


           ALPHA
              F1            F2            F3            F4
              ________      ________      ________      ________
      1           0             0             0             0


           BETA
              F1            F2            F3            F4
              ________      ________      ________      ________
 F1                 0             0             0             0
 F2                 0             0             0             0
 F3                 0             0             0             0
 F4                 0             0             0             0


           PSI
              F1            F2            F3            F4
              ________      ________      ________      ________
 F1                 0
 F2                25             0
 F3                26            27             0
 F4                28            29            30             0


     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          U7$1          U8$1          U9$1          U10$1
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           TAU
              U11$1         U12$1
              ________      ________
      1         0.000         0.000


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


           NU
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           NU
              U11           U12
              ________      ________
      1         0.000         0.000


           LAMBDA
              F1            F2            F3            F4
              ________      ________      ________      ________
 U1             0.700         0.000         0.000         0.000
 U2             0.700         0.000         0.000         0.000
 U3             0.700         0.000         0.000         0.000
 U4             0.000         0.700         0.000         0.000
 U5             0.000         0.700         0.000         0.000
 U6             0.000         0.700         0.000         0.000
 U7             0.000         0.000         0.700         0.000
 U8             0.000         0.000         0.700         0.000
 U9             0.000         0.000         0.700         0.000
 U10            0.000         0.000         0.000         0.700
 U11            0.000         0.000         0.000         0.700
 U12            0.000         0.000         0.000         0.700


           ALPHA
              F1            F2            F3            F4
              ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000


           BETA
              F1            F2            F3            F4
              ________      ________      ________      ________
 F1             0.000         0.000         0.000         0.000
 F2             0.000         0.000         0.000         0.000
 F3             0.000         0.000         0.000         0.000
 F4             0.000         0.000         0.000         0.000


           PSI
              F1            F2            F3            F4
              ________      ________      ________      ________
 F1             1.000
 F2             0.000         1.000
 F3             0.000         0.000         1.000
 F4             0.000         0.000         0.000         1.000


     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          U7$1          U8$1          U9$1          U10$1
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           TAU
              U11$1         U12$1
              ________      ________
 1              0.000         0.000


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


           NU
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              U11           U12
              ________      ________
 1              0.000         0.000


           LAMBDA
              F1            F2            F3            F4
              ________      ________      ________      ________
 U1             0.700         0.000         0.000         0.000
 U2             0.700         0.000         0.000         0.000
 U3             0.700         0.000         0.000         0.000
 U4             0.000         0.700         0.000         0.000
 U5             0.000         0.700         0.000         0.000
 U6             0.000         0.700         0.000         0.000
 U7             0.000         0.000         0.700         0.000
 U8             0.000         0.000         0.700         0.000
 U9             0.000         0.000         0.700         0.000
 U10            0.000         0.000         0.000         0.700
 U11            0.000         0.000         0.000         0.700
 U12            0.000         0.000         0.000         0.700


           THETA
              U1            U2            U3            U4            U5
              ________      ________      ________      ________      ________
 U1             0.510
 U2             0.000         0.510
 U3             0.000         0.000         0.510
 U4             0.000         0.000         0.000         0.510
 U5             0.000         0.000         0.000         0.000         0.510
 U6             0.000         0.000         0.000         0.000         0.000
 U7             0.000         0.000         0.000         0.000         0.000
 U8             0.000         0.000         0.000         0.000         0.000
 U9             0.000         0.000         0.000         0.000         0.000
 U10            0.000         0.000         0.000         0.000         0.000
 U11            0.000         0.000         0.000         0.000         0.000
 U12            0.000         0.000         0.000         0.000         0.000


           THETA
              U6            U7            U8            U9            U10
              ________      ________      ________      ________      ________
 U6             0.510
 U7             0.000         0.510
 U8             0.000         0.000         0.510
 U9             0.000         0.000         0.000         0.510
 U10            0.000         0.000         0.000         0.000         0.510
 U11            0.000         0.000         0.000         0.000         0.000
 U12            0.000         0.000         0.000         0.000         0.000


           THETA
              U11           U12
              ________      ________
 U11            0.510
 U12            0.000         0.510


           ALPHA
              F1            F2            F3            F4
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           BETA
              F1            F2            F3            F4
              ________      ________      ________      ________
 F1             0.000         0.000         0.000         0.000
 F2             0.000         0.000         0.000         0.000
 F3             0.000         0.000         0.000         0.000
 F4             0.000         0.000         0.000         0.000


           PSI
              F1            F2            F3            F4
              ________      ________      ________      ________
 F1             1.000
 F2             0.000         1.000
 F3             0.000         0.000         1.000
 F4             0.000         0.000         0.000         1.000


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    U1
    U2
    U3
    U4
    U5
    U6
    U7
    U8
    U9
    U10
    U11
    U12

  Save file
    ex4.2.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:01:20
        Ending Time:  22:01:20
       Elapsed Time:  00:00:00



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