Mplus VERSION 7.4
MUTHEN & MUTHEN
06/03/2016   3:37 PM

INPUT INSTRUCTIONS

  title: Hayes PROTEST moderation of X -> M, X->Y
      as a 2-group model for X=0/1.
      Combined model except beta5=0 and gamma4=0 (no c).

  data:
      file = protest.txt;

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

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

  model:
      liking on respappr sexism;
      respappr on sexism;

  model zero:
      [liking] (k00);
      liking on respappr (k01)
      sexism (k02);
      [respappr] (p00);
      respappr on sexism (p01);

  model one:
      [liking] (k10);
      liking on respappr (k11)
      sexism (k12);
      [respappr] (p10);
      respappr on sexism (p11);

  model constraint:
     new(b1 b2 b4 b6 g0 g1 g2 g3);
     b1=k01;
     b2=k10-k00;
     b4=k11-k01;
     b6=k12-k02;
     g0=p00;
     g1=p10-p00;
     g2=p01;
     g3=p11-p01;
     LOOP(z,4,6,0.1);
     PLOT(indirect, direct);
     indirect = (b1+b4*1)*(g1+g3*z);
     direct = b2+b6*z+b4*(g0+g1*0+g2*z+g3*0*z);

  plot:
      type = plot3;

  output:
      sampstat;



INPUT READING TERMINATED NORMALLY



Hayes PROTEST moderation of X -> M, X->Y
as a 2-group model for X=0/1.
Combined model except beta5=0 and gamma4=0 (no c).

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                                                       ML
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                       14

Loglikelihood

          H0 Value                        -354.955
          H1 Value                        -354.955

Information Criteria

          Akaike (AIC)                     737.910
          Bayesian (BIC)                   777.947
          Sample-Size Adjusted BIC         733.670
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                              0.000
          Degrees of Freedom                     0
          P-Value                           0.0000

Chi-Square Contribution From Each Group

          ZERO                               0.000
          ONE                                0.000

RMSEA (Root Mean Square Error Of Approximation)

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

CFI/TLI

          CFI                                1.000
          TLI                                1.000

Chi-Square Test of Model Fit for the Baseline Model

          Value                             50.286
          Degrees of Freedom                     6
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.000



MODEL RESULTS

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

Group ZERO

 LIKING   ON
    RESPAPPR           0.303      0.131      2.309      0.021
    SEXISM            -0.312      0.249     -1.252      0.210

 RESPAPPR ON
    SEXISM            -0.529      0.285     -1.858      0.063

 Intercepts
    LIKING             5.716      1.500      3.811      0.000
    RESPAPPR           6.567      1.460      4.497      0.000

 Residual Variances
    LIKING             1.349      0.298      4.527      0.000
    RESPAPPR           1.910      0.422      4.528      0.000

Group ONE

 LIKING   ON
    RESPAPPR           0.411      0.078      5.293      0.000
    SEXISM             0.246      0.099      2.476      0.013

 RESPAPPR ON
    SEXISM             0.281      0.133      2.114      0.035

 Intercepts
    LIKING             2.340      0.586      3.991      0.000
    RESPAPPR           3.880      0.691      5.616      0.000

 Residual Variances
    LIKING             0.515      0.078      6.633      0.000
    RESPAPPR           0.971      0.146      6.633      0.000

New/Additional Parameters
    B1                 0.303      0.131      2.309      0.021
    B2                -3.376      1.611     -2.096      0.036
    B4                 0.108      0.153      0.706      0.480
    B6                 0.558      0.268      2.079      0.038
    G0                 6.567      1.460      4.497      0.000
    G1                -2.687      1.616     -1.663      0.096
    G2                -0.529      0.285     -1.858      0.063
    G3                 0.810      0.314      2.577      0.010


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.102E-03
       (ratio of smallest to largest eigenvalue)


PLOT INFORMATION

The following plots are available:

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

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\ex3.30.dgm

     Beginning Time:  15:37:01
        Ending Time:  15:37:01
       Elapsed Time:  00:00:00



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