Mplus VERSION 7.4
MUTHEN & MUTHEN
06/03/2016   3:36 PM

INPUT INSTRUCTIONS

  title: Hayes PROTEST moderation of X -> M, X->Y
      as a 2-group model for X=0/1.
      Modind checking for moderation.

  data:
      file = protest.txt;

  variable:
      names = sexism liking respappr protest;
      usev = sexism liking respappr protest;

      grouping = protest(0=zero 1=one);

  analysis:
      estimator = mlr;

  model:
      liking on respappr (k1)
      sexism;! (k2);
      respappr on sexism;! (p1);

  model zero:
      liking on sexism (k20);
      respappr on sexism (p10);

  model one:
      liking on sexism (k21);
      respappr on sexism (p11);

  model constraint:
      new(k2diff p1diff);
      k2diff = k21-k20;
      p1diff = p11-p10;

  plot:
      type = plot3;

  output:
      sampstat tech1;



INPUT READING TERMINATED NORMALLY



Hayes PROTEST moderation of X -> M, X->Y
as a 2-group model for X=0/1.
Modind checking for moderation.

SUMMARY OF ANALYSIS

Number of groups                                                 2
Number of observations
   Group ZERO                                                   41
   Group ONE                                                    88
   Total sample size                                           129

Number of dependent variables                                    2
Number of independent variables                                  1
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   LIKING      RESPAPPR

Observed independent variables
   SEXISM

Variables with special functions

  Grouping variable     PROTEST

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

Input data file(s)
  protest.txt

Input data format  FREE


SAMPLE STATISTICS


     SAMPLE STATISTICS FOR ZERO


           Means
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
      1         5.310         3.884         5.071


           Covariances
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING         1.653
 RESPAPPR       0.722         2.070
 SEXISM        -0.271        -0.304         0.574


           Correlations
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING         1.000
 RESPAPPR       0.390         1.000
 SEXISM        -0.278        -0.279         1.000


     SAMPLE STATISTICS FOR ONE


           Means
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
      1         5.789         5.324         5.138


           Covariances
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING         0.760
 RESPAPPR       0.462         1.020
 SEXISM         0.226         0.175         0.625


           Correlations
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING         1.000
 RESPAPPR       0.525         1.000
 SEXISM         0.327         0.220         1.000


UNIVARIATE SAMPLE STATISTICS


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR ZERO

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

     LIKING                5.310      -1.257       1.000    2.44%       4.500      5.160      5.330
              41.000       1.653       2.007       7.000    7.32%       5.830      6.500
     RESPAPPR              3.884      -0.056       1.500    4.88%       2.500      3.250      4.000
              41.000       2.070      -1.273       6.250    2.44%       4.500      5.250
     SEXISM                5.071       0.472       4.000    4.88%       4.250      4.750      5.000
              41.000       0.574      -0.843       6.620    2.44%       5.120      5.750


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR ONE

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

     LIKING                5.789      -0.438       3.660    1.14%       5.000      5.660      5.830
              88.000       0.760      -0.690       7.000   10.23%       6.160      6.500
     RESPAPPR              5.324      -0.811       1.750    1.14%       4.500      5.250      5.500
              88.000       1.020       0.922       7.000    3.41%       5.750      6.250
     SEXISM                5.138      -0.034       2.870    1.14%       4.500      4.870      5.120
              88.000       0.625      -0.007       7.000    2.27%       5.370      5.750


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       13

Loglikelihood

          H0 Value                        -355.204
          H0 Scaling Correction Factor      1.0404
            for MLR
          H1 Value                        -354.955
          H1 Scaling Correction Factor      1.0392
            for MLR

Information Criteria

          Akaike (AIC)                     736.408
          Bayesian (BIC)                   773.585
          Sample-Size Adjusted BIC         732.470
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                              0.486*
          Degrees of Freedom                     1
          P-Value                           0.4857
          Scaling Correction Factor         1.0238
            for MLR

Chi-Square Contribution From Each Group

          ZERO                               0.361
          ONE                                0.125

*   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  0.290
          Probability RMSEA <= .05           0.520

CFI/TLI

          CFI                                1.000
          TLI                                1.071

Chi-Square Test of Model Fit for the Baseline Model

          Value                             49.741
          Degrees of Freedom                     6
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.042



MODEL RESULTS

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

Group ZERO

 LIKING   ON
    RESPAPPR           0.383      0.068      5.642      0.000
    SEXISM            -0.270      0.262     -1.028      0.304

 RESPAPPR ON
    SEXISM            -0.529      0.312     -1.697      0.090

 Intercepts
    LIKING             5.191      1.299      3.996      0.000
    RESPAPPR           6.567      1.555      4.224      0.000

 Residual Variances
    LIKING             1.361      0.399      3.414      0.001
    RESPAPPR           1.910      0.311      6.132      0.000

Group ONE

 LIKING   ON
    RESPAPPR           0.383      0.068      5.642      0.000
    SEXISM             0.253      0.088      2.896      0.004

 RESPAPPR ON
    SEXISM             0.281      0.125      2.247      0.025

 Intercepts
    LIKING             2.447      0.468      5.231      0.000
    RESPAPPR           3.880      0.655      5.920      0.000

 Residual Variances
    LIKING             0.515      0.072      7.183      0.000
    RESPAPPR           0.971      0.172      5.652      0.000

New/Additional Parameters
    K2DIFF             0.523      0.279      1.878      0.060
    P1DIFF             0.810      0.336      2.412      0.016


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.993E-04
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR ZERO


           NU
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
      1           0             0             0


           LAMBDA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING             0             0             0
 RESPAPPR           0             0             0
 SEXISM             0             0             0


           THETA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING             0
 RESPAPPR           0             0
 SEXISM             0             0             0


           ALPHA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
      1           1             2             0


           BETA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING             0             3             4
 RESPAPPR           0             0             5
 SEXISM             0             0             0


           PSI
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING             6
 RESPAPPR           0             7
 SEXISM             0             0             0


     PARAMETER SPECIFICATION FOR ONE


           NU
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
      1           0             0             0


           LAMBDA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING             0             0             0
 RESPAPPR           0             0             0
 SEXISM             0             0             0


           THETA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING             0
 RESPAPPR           0             0
 SEXISM             0             0             0


           ALPHA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
      1           8             9             0


           BETA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING             0             3            10
 RESPAPPR           0             0            11
 SEXISM             0             0             0


           PSI
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING            12
 RESPAPPR           0            13
 SEXISM             0             0             0


     PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS


           New/Additional Parameters
              K2DIFF        P1DIFF
              ________      ________
 1                 14            15


     STARTING VALUES FOR ZERO


           NU
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
      1         0.000         0.000         0.000


           LAMBDA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING         1.000         0.000         0.000
 RESPAPPR       0.000         1.000         0.000
 SEXISM         0.000         0.000         1.000


           THETA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING         0.000
 RESPAPPR       0.000         0.000
 SEXISM         0.000         0.000         0.000


           ALPHA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
      1         5.310         3.884         5.071


           BETA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING         0.000         0.000         0.000
 RESPAPPR       0.000         0.000         0.000
 SEXISM         0.000         0.000         0.000


           PSI
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING         0.826
 RESPAPPR       0.000         1.035
 SEXISM         0.000         0.000         0.574


     STARTING VALUES FOR ONE


           NU
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
      1         0.000         0.000         0.000


           LAMBDA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING         1.000         0.000         0.000
 RESPAPPR       0.000         1.000         0.000
 SEXISM         0.000         0.000         1.000


           THETA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING         0.000
 RESPAPPR       0.000         0.000
 SEXISM         0.000         0.000         0.000


           ALPHA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
      1         5.310         3.884         5.138


           BETA
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING         0.000         0.000         0.000
 RESPAPPR       0.000         0.000         0.000
 SEXISM         0.000         0.000         0.000


           PSI
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING         0.826
 RESPAPPR       0.000         1.035
 SEXISM         0.000         0.000         0.625


     STARTING VALUES FOR THE ADDITIONAL PARAMETERS


           New/Additional Parameters
              K2DIFF        P1DIFF
              ________      ________
 1              0.500         0.500


PLOT INFORMATION

The following plots are available:

  Histograms (sample values, estimated values, residuals)
  Scatterplots (sample values, estimated values, residuals)

DIAGRAM INFORMATION

  Use View Diagram under the Diagram menu in the Mplus Editor to view the diagram.
  If running Mplus from the Mplus Diagrammer, the diagram opens automatically.

  Diagram output
    c:\users\gryphon\desktop\chapter3\ex3.29.dgm

     Beginning Time:  15:36:55
        Ending Time:  15:36:55
       Elapsed Time:  00:00:00



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