Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  11:11 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a multiple group CFA with covariates (MIMIC)
  with categorical factor indicators and a threshold structure
  using the Theta parameterization
  DATA:	FILE IS ex5.17.dat;
  VARIABLE:	NAMES ARE u1-u6 x1-x3 g;
  	CATEGORICAL ARE u1-u6;
  	GROUPING IS g (1=male 2=female);
  ANALYSIS: PARAMETERIZATION = THETA;
  MODEL:	f1 BY u1-u3;
  	f2 BY u4-u6;
  	f1 f2 ON x1-x3;
  MODEL female:
  	f1 BY u3;
  	[u3$1];
  	u3@1;




INPUT READING TERMINATED NORMALLY



this is an example of a multiple group CFA with covariates (MIMIC)
with categorical factor indicators and a threshold structure
using the Theta parameterization

SUMMARY OF ANALYSIS

Number of groups                                                 2
Number of observations
   Group MALE                                                 1000
   Group FEMALE                                               1200
   Total sample size                                          2200

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

Observed dependent variables

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

Observed independent variables
   X1          X2          X3

Continuous latent variables
   F1          F2

Variables with special functions

  Grouping variable     G

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

Input data file(s)
  ex5.17.dat

Input data format  FREE


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

  Group MALE
    U1
      Category 1    0.260          260.000
      Category 2    0.740          740.000
    U2
      Category 1    0.354          354.000
      Category 2    0.646          646.000
    U3
      Category 1    0.432          432.000
      Category 2    0.568          568.000
    U4
      Category 1    0.495          495.000
      Category 2    0.505          505.000
    U5
      Category 1    0.547          547.000
      Category 2    0.453          453.000
    U6
      Category 1    0.631          631.000
      Category 2    0.369          369.000

  Group FEMALE
    U1
      Category 1    0.271          325.000
      Category 2    0.729          875.000
    U2
      Category 1    0.382          458.000
      Category 2    0.618          742.000
    U3
      Category 1    0.693          831.000
      Category 2    0.307          369.000
    U4
      Category 1    0.512          614.000
      Category 2    0.488          586.000
    U5
      Category 1    0.571          685.000
      Category 2    0.429          515.000
    U6
      Category 1    0.638          766.000
      Category 2    0.362          434.000



UNIVARIATE SAMPLE STATISTICS


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR MALE

         Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
        Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median

     X1                   -0.022      -0.059      -3.215    0.10%      -0.816     -0.282     -0.047
            1000.000       0.979      -0.046       2.840    0.10%       0.185      0.828
     X2                    0.024      -0.081      -3.990    0.10%      -0.801     -0.190      0.026
            1000.000       1.047       0.136       3.812    0.10%       0.275      0.847
     X3                    0.029      -0.028      -3.223    0.10%      -0.871     -0.281      0.049
            1000.000       1.091      -0.180       2.983    0.10%       0.309      0.929


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR FEMALE

         Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
        Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median

     X1                    0.011       0.082      -3.147    0.08%      -0.884     -0.252      0.017
            1200.000       1.069       0.045       4.267    0.08%       0.280      0.859
     X2                   -0.033      -0.026      -3.406    0.08%      -0.847     -0.294     -0.042
            1200.000       1.002       0.002       2.888    0.08%       0.203      0.820
     X3                   -0.057      -0.051      -3.400    0.08%      -0.884     -0.305     -0.058
            1200.000       1.042       0.032       2.964    0.08%       0.194      0.800


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       37

Chi-Square Test of Model Fit

          Value                             33.719*
          Degrees of Freedom                    41
          P-Value                           0.7830

Chi-Square Contribution From Each Group

          MALE                              16.002
          FEMALE                            17.717

*   The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
    for chi-square difference testing in the regular way.  MLM, MLR and WLSM
    chi-square difference testing is described on the Mplus website.  MLMV, WLSMV,
    and ULSMV difference testing is done using the DIFFTEST option.

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.000
          90 Percent C.I.                    0.000  0.014
          Probability RMSEA <= .05           1.000

CFI/TLI

          CFI                                1.000
          TLI                                1.000

Chi-Square Test of Model Fit for the Baseline Model

          Value                           6573.773
          Degrees of Freedom                    66
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.016

Optimum Function Value for Weighted Least-Squares Estimator

          Value                     0.48565290D-02



MODEL RESULTS

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

Group MALE

 F1       BY
    U1                 1.000      0.000    999.000    999.000
    U2                 0.861      0.152      5.657      0.000
    U3                 0.922      0.167      5.511      0.000

 F2       BY
    U4                 1.000      0.000    999.000    999.000
    U5                 1.006      0.143      7.044      0.000
    U6                 0.973      0.140      6.942      0.000

 F1       ON
    X1                 0.981      0.145      6.757      0.000
    X2                 1.081      0.153      7.077      0.000
    X3                 1.317      0.177      7.449      0.000

 F2       ON
    X1                 1.158      0.130      8.889      0.000
    X2                 1.113      0.124      8.969      0.000
    X3                 0.810      0.104      7.789      0.000

 F2       WITH
    F1                 0.018      0.152      0.116      0.907

 Intercepts
    F1                 0.000      0.000    999.000    999.000
    F2                 0.000      0.000    999.000    999.000

 Thresholds
    U1$1              -1.778      0.223     -7.962      0.000
    U2$1              -0.945      0.129     -7.355      0.000
    U3$1              -0.425      0.096     -4.444      0.000
    U4$1              -0.024      0.081     -0.297      0.766
    U5$1               0.358      0.083      4.310      0.000
    U6$1               0.881      0.112      7.868      0.000

 Residual Variances
    U1                 1.000      0.000    999.000    999.000
    U2                 1.000      0.000    999.000    999.000
    U3                 1.000      0.000    999.000    999.000
    U4                 1.000      0.000    999.000    999.000
    U5                 1.000      0.000    999.000    999.000
    U6                 1.000      0.000    999.000    999.000
    F1                 2.856      0.756      3.779      0.000
    F2                 2.237      0.466      4.805      0.000

Group FEMALE

 F1       BY
    U1                 1.000      0.000    999.000    999.000
    U2                 0.861      0.152      5.657      0.000
    U3                 0.453      0.106      4.279      0.000

 F2       BY
    U4                 1.000      0.000    999.000    999.000
    U5                 1.006      0.143      7.044      0.000
    U6                 0.973      0.140      6.942      0.000

 F1       ON
    X1                 0.785      0.182      4.322      0.000
    X2                 0.931      0.212      4.394      0.000
    X3                 1.030      0.234      4.410      0.000

 F2       ON
    X1                 1.403      0.249      5.640      0.000
    X2                 1.165      0.211      5.523      0.000
    X3                 0.954      0.177      5.378      0.000

 F2       WITH
    F1                -0.139      0.130     -1.066      0.286

 Intercepts
    F1                -0.330      0.259     -1.272      0.203
    F2                -0.062      0.115     -0.545      0.586

 Thresholds
    U1$1              -1.778      0.223     -7.962      0.000
    U2$1              -0.945      0.129     -7.355      0.000
    U3$1               0.500      0.148      3.382      0.001
    U4$1              -0.024      0.081     -0.297      0.766
    U5$1               0.358      0.083      4.310      0.000
    U6$1               0.881      0.112      7.868      0.000

 Residual Variances
    U1                 0.546      0.271      2.018      0.044
    U2                 0.534      0.301      1.776      0.076
    U3                 1.000      0.000    999.000    999.000
    U4                 0.985      0.393      2.508      0.012
    U5                 1.045      0.411      2.543      0.011
    U6                 1.166      0.416      2.803      0.005
    F1                 1.599      0.719      2.224      0.026
    F2                 2.684      0.934      2.875      0.004


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.583E-03
       (ratio of smallest to largest eigenvalue)


     Beginning Time:  23:11:16
        Ending Time:  23:11:17
       Elapsed Time:  00:00:01



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