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;

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

  analysis:
      estimator = mlr;

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

  plot:
      type = plot3;

  output:
      sampstat tech1 modindices(3.841);



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                       11

Loglikelihood

          H0 Value                        -360.227
          H0 Scaling Correction Factor      1.0311
            for MLR
          H1 Value                        -354.955
          H1 Scaling Correction Factor      1.0392
            for MLR

Information Criteria

          Akaike (AIC)                     742.454
          Bayesian (BIC)                   773.912
          Sample-Size Adjusted BIC         739.122
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                              9.863*
          Degrees of Freedom                     3
          P-Value                           0.0198
          Scaling Correction Factor         1.0690
            for MLR

Chi-Square Contribution From Each Group

          ZERO                               8.532
          ONE                                1.331

*   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                           0.188
          90 Percent C.I.                    0.066  0.325
          Probability RMSEA <= .05           0.036

CFI/TLI

          CFI                                0.843
          TLI                                0.686

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                              0.137



MODEL RESULTS

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

Group ZERO

 LIKING   ON
    RESPAPPR           0.410      0.068      6.011      0.000
    SEXISM             0.181      0.081      2.237      0.025

 RESPAPPR ON
    SEXISM             0.150      0.122      1.232      0.218

 Intercepts
    LIKING             2.801      0.457      6.134      0.000
    RESPAPPR           3.125      0.641      4.877      0.000

 Residual Variances
    LIKING             1.480      0.459      3.223      0.001
    RESPAPPR           2.174      0.302      7.197      0.000

Group ONE

 LIKING   ON
    RESPAPPR           0.410      0.068      6.011      0.000
    SEXISM             0.181      0.081      2.237      0.025

 RESPAPPR ON
    SEXISM             0.150      0.122      1.232      0.218

 Intercepts
    LIKING             2.676      0.458      5.846      0.000
    RESPAPPR           4.554      0.629      7.236      0.000

 Residual Variances
    LIKING             0.517      0.073      7.095      0.000
    RESPAPPR           0.982      0.176      5.577      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.286E-03
       (ratio of smallest to largest eigenvalue)


MODEL MODIFICATION INDICES

NOTE:  Modification indices for direct effects of observed dependent variables
regressed on covariates may not be included.  To include these, request
MODINDICES (ALL).

Minimum M.I. value for printing the modification index     3.841

                                   M.I.     E.P.C.  Std E.P.C.  StdYX E.P.C.
Group ZERO


ON Statements

RESPAPPR ON RESPAPPR               5.570    -5.410     -5.410       -5.410
RESPAPPR ON SEXISM                 5.568    -0.679     -0.679       -0.348

WITH Statements

SEXISM   WITH RESPAPPR             5.568    -0.465     -0.465       -0.416

Group ONE


ON Statements

RESPAPPR ON RESPAPPR               5.560     5.405      5.405        5.405
RESPAPPR ON SEXISM                 5.567     0.131      0.131        0.104

WITH Statements

SEXISM   WITH RESPAPPR             5.567     0.506      0.506        0.646



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             4
 RESPAPPR           0             0             5
 SEXISM             0             0             0


           PSI
              LIKING        RESPAPPR      SEXISM
              ________      ________      ________
 LIKING            10
 RESPAPPR           0            11
 SEXISM             0             0             0


     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


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\ex3.28.dgm

     Beginning Time:  15:36:50
        Ending Time:  15:36:50
       Elapsed Time:  00:00:00



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