Mplus VERSION 7.4
MUTHEN & MUTHEN
06/04/2016  10:42 AM

INPUT INSTRUCTIONS

  title: Hayes (2013) PMI multiple mediators example, p. 131

  data:
      file = pmi.txt;

  variable:
      names = cond pmi import reaction gender age;
      usev = reaction import pmi cond;

  analysis:
      estimator = mlr;

  model:
      reaction on import pmi cond;
      import on cond;
      pmi on cond;
      import with pmi;

  model indirect:
      reaction ind cond;

  output:
      sampstat cinterval standardized;


  plot:
      type = plot3;
      outliers = cooks loglikelihood;



INPUT READING TERMINATED NORMALLY



Hayes (2013) PMI multiple mediators example, p. 131

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         123

Number of dependent variables                                    3
Number of independent variables                                  1
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   REACTION    IMPORT      PMI

Observed independent variables
   COND


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)
  pmi.txt

Input data format  FREE


SAMPLE STATISTICS


     SAMPLE STATISTICS


           Means
              REACTION      IMPORT        PMI           COND
              ________      ________      ________      ________
      1         3.484         4.203         5.602         0.472


           Covariances
              REACTION      IMPORT        PMI           COND
              ________      ________      ________      ________
 REACTION       2.384
 IMPORT         1.241         2.991
 PMI            0.907         0.642         1.732
 COND           0.124         0.156         0.119         0.249


           Correlations
              REACTION      IMPORT        PMI           COND
              ________      ________      ________      ________
 REACTION       1.000
 IMPORT         0.465         1.000
 PMI            0.446         0.282         1.000
 COND           0.160         0.181         0.181         1.000


UNIVARIATE SAMPLE STATISTICS


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS

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

     REACTION              3.484       0.212       1.000    4.88%       2.000      3.000      3.250
             123.000       2.384      -0.870       7.000    1.63%       4.000      5.000
     IMPORT                4.203      -0.258       1.000    8.94%       3.000      4.000      4.000
             123.000       2.991      -0.856       7.000    8.13%       5.000      6.000
     PMI                   5.602      -1.182       1.000    0.81%       4.500      5.500      6.000
             123.000       1.732       1.373       7.000   24.39%       6.000      7.000
     COND                  0.472       0.114       0.000   52.85%       0.000      0.000      0.000
             123.000       0.249      -1.987       1.000   47.15%       1.000      1.000


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       12

Loglikelihood

          H0 Value                        -645.659
          H0 Scaling Correction Factor      0.9963
            for MLR
          H1 Value                        -645.659
          H1 Scaling Correction Factor      0.9963
            for MLR

Information Criteria

          Akaike (AIC)                    1315.317
          Bayesian (BIC)                  1349.063
          Sample-Size Adjusted BIC        1311.120
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                              0.000*
          Degrees of Freedom                     0
          P-Value                           0.0000
          Scaling Correction Factor         1.0000
            for MLR

*   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  0.000
          Probability RMSEA <= .05           0.000

CFI/TLI

          CFI                                1.000
          TLI                                1.000

Chi-Square Test of Model Fit for the Baseline Model

          Value                             63.611
          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

 REACTION ON
    IMPORT             0.324      0.072      4.498      0.000
    PMI                0.397      0.075      5.265      0.000
    COND               0.103      0.236      0.437      0.662

 IMPORT   ON
    COND               0.627      0.308      2.032      0.042

 PMI      ON
    COND               0.477      0.233      2.045      0.041

 IMPORT   WITH
    PMI                0.568      0.221      2.566      0.010

 Intercepts
    REACTION          -0.150      0.376     -0.399      0.690
    IMPORT             3.908      0.204     19.176      0.000
    PMI                5.377      0.165     32.660      0.000

 Residual Variances
    REACTION           1.609      0.178      9.050      0.000
    IMPORT             2.893      0.286     10.132      0.000
    PMI                1.675      0.291      5.761      0.000


STANDARDIZED MODEL RESULTS


STDYX Standardization

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

 REACTION ON
    IMPORT             0.363      0.077      4.732      0.000
    PMI                0.338      0.065      5.172      0.000
    COND               0.033      0.076      0.437      0.662

 IMPORT   ON
    COND               0.181      0.088      2.062      0.039

 PMI      ON
    COND               0.181      0.089      2.024      0.043

 IMPORT   WITH
    PMI                0.258      0.088      2.920      0.004

 Intercepts
    REACTION          -0.097      0.241     -0.403      0.687
    IMPORT             2.259      0.185     12.195      0.000
    PMI                4.086      0.413      9.897      0.000

 Residual Variances
    REACTION           0.675      0.067     10.066      0.000
    IMPORT             0.967      0.032     30.467      0.000
    PMI                0.967      0.032     29.958      0.000


STDY Standardization

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

 REACTION ON
    IMPORT             0.363      0.077      4.732      0.000
    PMI                0.338      0.065      5.172      0.000
    COND               0.067      0.153      0.437      0.662

 IMPORT   ON
    COND               0.362      0.176      2.062      0.039

 PMI      ON
    COND               0.362      0.179      2.024      0.043

 IMPORT   WITH
    PMI                0.258      0.088      2.920      0.004

 Intercepts
    REACTION          -0.097      0.241     -0.403      0.687
    IMPORT             2.259      0.185     12.195      0.000
    PMI                4.086      0.413      9.897      0.000

 Residual Variances
    REACTION           0.675      0.067     10.066      0.000
    IMPORT             0.967      0.032     30.467      0.000
    PMI                0.967      0.032     29.958      0.000


STD Standardization

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

 REACTION ON
    IMPORT             0.324      0.072      4.498      0.000
    PMI                0.397      0.075      5.265      0.000
    COND               0.103      0.236      0.437      0.662

 IMPORT   ON
    COND               0.627      0.308      2.032      0.042

 PMI      ON
    COND               0.477      0.233      2.045      0.041

 IMPORT   WITH
    PMI                0.568      0.221      2.566      0.010

 Intercepts
    REACTION          -0.150      0.376     -0.399      0.690
    IMPORT             3.908      0.204     19.176      0.000
    PMI                5.377      0.165     32.660      0.000

 Residual Variances
    REACTION           1.609      0.178      9.050      0.000
    IMPORT             2.893      0.286     10.132      0.000
    PMI                1.675      0.291      5.761      0.000


R-SQUARE

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

    REACTION           0.325      0.067      4.850      0.000
    IMPORT             0.033      0.032      1.031      0.303
    PMI                0.033      0.032      1.012      0.311


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.889E-03
       (ratio of smallest to largest eigenvalue)


TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS


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

Effects from COND to REACTION

  Total                0.496      0.274      1.811      0.070
  Total indirect       0.392      0.161      2.430      0.015

  Specific indirect

    REACTION
    IMPORT
    COND               0.203      0.112      1.823      0.068

    REACTION
    PMI
    COND               0.189      0.101      1.867      0.062

  Direct
    REACTION
    COND               0.103      0.236      0.437      0.662



STANDARDIZED TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS


STDYX Standardization

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

Effects from COND to REACTION

  Total                0.160      0.087      1.834      0.067
  Total indirect       0.127      0.051      2.498      0.012

  Specific indirect

    REACTION
    IMPORT
    COND               0.066      0.035      1.857      0.063

    REACTION
    PMI
    COND               0.061      0.032      1.889      0.059

  Direct
    REACTION
    COND               0.033      0.076      0.437      0.662



STDY Standardization

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

Effects from COND to REACTION

  Total                0.321      0.175      1.834      0.067
  Total indirect       0.254      0.102      2.498      0.012

  Specific indirect

    REACTION
    IMPORT
    COND               0.132      0.071      1.858      0.063

    REACTION
    PMI
    COND               0.122      0.065      1.889      0.059

  Direct
    REACTION
    COND               0.067      0.153      0.437      0.662



STD Standardization

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

Effects from COND to REACTION

  Total                0.496      0.274      1.811      0.070
  Total indirect       0.392      0.161      2.430      0.015

  Specific indirect

    REACTION
    IMPORT
    COND               0.203      0.112      1.823      0.068

    REACTION
    PMI
    COND               0.189      0.101      1.867      0.062

  Direct
    REACTION
    COND               0.103      0.236      0.437      0.662




CONFIDENCE INTERVALS OF MODEL RESULTS

                  Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%

 REACTION ON
    IMPORT           0.139       0.183       0.206       0.324       0.443       0.466       0.510
    PMI              0.203       0.249       0.273       0.397       0.520       0.544       0.591
    COND            -0.506      -0.360      -0.286       0.103       0.492       0.567       0.712

 IMPORT   ON
    COND            -0.168       0.022       0.119       0.627       1.134       1.231       1.421

 PMI      ON
    COND            -0.124       0.020       0.093       0.477       0.860       0.933       1.077

 IMPORT   WITH
    PMI             -0.002       0.134       0.204       0.568       0.931       1.001       1.137

 Intercepts
    REACTION        -1.117      -0.886      -0.768      -0.150       0.468       0.587       0.818
    IMPORT           3.383       3.508       3.572       3.908       4.243       4.307       4.433
    PMI              4.953       5.054       5.106       5.377       5.648       5.700       5.801

 Residual Variances
    REACTION         1.151       1.260       1.316       1.609       1.901       1.957       2.067
    IMPORT           2.158       2.334       2.424       2.893       3.363       3.453       3.629
    PMI              0.926       1.105       1.197       1.675       2.153       2.245       2.424


CONFIDENCE INTERVALS OF STANDARDIZED MODEL RESULTS


STDYX Standardization

                  Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%

 REACTION ON
    IMPORT           0.166       0.213       0.237       0.363       0.490       0.514       0.561
    PMI              0.170       0.210       0.230       0.338       0.445       0.466       0.506
    COND            -0.163      -0.116      -0.092       0.033       0.159       0.183       0.230

 IMPORT   ON
    COND            -0.045       0.009       0.037       0.181       0.325       0.353       0.407

 PMI      ON
    COND            -0.049       0.006       0.034       0.181       0.328       0.356       0.411

 IMPORT   WITH
    PMI              0.030       0.085       0.113       0.258       0.403       0.431       0.485

 Intercepts
    REACTION        -0.718      -0.569      -0.493      -0.097       0.299       0.375       0.524
    IMPORT           1.782       1.896       1.955       2.259       2.564       2.623       2.737
    PMI              3.023       3.277       3.407       4.086       4.765       4.895       5.150

 Residual Variances
    REACTION         0.502       0.543       0.565       0.675       0.785       0.806       0.848
    IMPORT           0.885       0.905       0.915       0.967       1.019       1.029       1.049
    PMI              0.884       0.904       0.914       0.967       1.020       1.031       1.050


STDY Standardization

                  Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%

 REACTION ON
    IMPORT           0.166       0.213       0.237       0.363       0.490       0.514       0.561
    PMI              0.170       0.210       0.230       0.338       0.445       0.466       0.506
    COND            -0.327      -0.233      -0.185       0.067       0.319       0.367       0.461

 IMPORT   ON
    COND            -0.090       0.018       0.073       0.362       0.652       0.707       0.815

 PMI      ON
    COND            -0.099       0.011       0.068       0.362       0.656       0.713       0.823

 IMPORT   WITH
    PMI              0.030       0.085       0.113       0.258       0.403       0.431       0.485

 Intercepts
    REACTION        -0.718      -0.569      -0.493      -0.097       0.299       0.375       0.524
    IMPORT           1.782       1.896       1.955       2.259       2.564       2.623       2.737
    PMI              3.023       3.277       3.407       4.086       4.765       4.895       5.150

 Residual Variances
    REACTION         0.502       0.543       0.565       0.675       0.785       0.806       0.848
    IMPORT           0.885       0.905       0.915       0.967       1.019       1.029       1.049
    PMI              0.884       0.904       0.914       0.967       1.020       1.031       1.050


STD Standardization

                  Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%

 REACTION ON
    IMPORT           0.139       0.183       0.206       0.324       0.443       0.466       0.510
    PMI              0.203       0.249       0.273       0.397       0.520       0.544       0.591
    COND            -0.506      -0.360      -0.286       0.103       0.492       0.567       0.712

 IMPORT   ON
    COND            -0.168       0.022       0.119       0.627       1.134       1.231       1.421

 PMI      ON
    COND            -0.124       0.020       0.093       0.477       0.860       0.933       1.077

 IMPORT   WITH
    PMI             -0.002       0.134       0.204       0.568       0.931       1.001       1.137

 Intercepts
    REACTION        -1.117      -0.886      -0.768      -0.150       0.468       0.587       0.818
    IMPORT           3.383       3.508       3.572       3.908       4.243       4.307       4.433
    PMI              4.953       5.054       5.106       5.377       5.648       5.700       5.801

 Residual Variances
    REACTION         1.151       1.260       1.316       1.609       1.901       1.957       2.067
    IMPORT           2.158       2.334       2.424       2.893       3.363       3.453       3.629
    PMI              0.926       1.105       1.197       1.675       2.153       2.245       2.424


CONFIDENCE INTERVALS OF TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS


                  Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%

Effects from COND to REACTION

  Total             -0.209      -0.041       0.045       0.496       0.946       1.032       1.201
  Total indirect    -0.023       0.076       0.127       0.392       0.658       0.709       0.808

  Specific indirect

    REACTION
    IMPORT
    COND            -0.084      -0.015       0.020       0.203       0.387       0.422       0.491

    REACTION
    PMI
    COND            -0.072      -0.009       0.022       0.189       0.355       0.387       0.450

  Direct
    REACTION
    COND            -0.506      -0.360      -0.286       0.103       0.492       0.567       0.712



CONFIDENCE INTERVALS OF STANDARDIZED TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS


STDYX Standardization

                  Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%

Effects from COND to REACTION

  Total             -0.065      -0.011       0.017       0.160       0.304       0.332       0.385
  Total indirect    -0.004       0.027       0.043       0.127       0.210       0.226       0.258

  Specific indirect

    REACTION
    IMPORT
    COND            -0.025      -0.004       0.008       0.066       0.124       0.135       0.157

    REACTION
    PMI
    COND            -0.022      -0.002       0.008       0.061       0.114       0.124       0.144

  Direct
    REACTION
    COND            -0.163      -0.116      -0.092       0.033       0.159       0.183       0.230



STDY Standardization

                  Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%

Effects from COND to REACTION

  Total             -0.130      -0.022       0.033       0.321       0.609       0.664       0.772
  Total indirect    -0.008       0.055       0.087       0.254       0.421       0.453       0.516

  Specific indirect

    REACTION
    IMPORT
    COND            -0.051      -0.007       0.015       0.132       0.248       0.271       0.314

    REACTION
    PMI
    COND            -0.044      -0.005       0.016       0.122       0.229       0.249       0.289

  Direct
    REACTION
    COND            -0.327      -0.233      -0.185       0.067       0.319       0.367       0.461



STD Standardization

                  Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%

Effects from COND to REACTION

  Total             -0.209      -0.041       0.045       0.496       0.946       1.032       1.201
  Total indirect    -0.023       0.076       0.127       0.392       0.658       0.709       0.808

  Specific indirect

    REACTION
    IMPORT
    COND            -0.084      -0.015       0.020       0.203       0.387       0.422       0.491

    REACTION
    PMI
    COND            -0.072      -0.009       0.022       0.189       0.355       0.387       0.450

  Direct
    REACTION
    COND            -0.506      -0.360      -0.286       0.103       0.492       0.567       0.712




PLOT INFORMATION

The following plots are available:

  Histograms (sample values, outliers, estimated values, residuals)
  Scatterplots (sample values, outliers, 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\bengt 2013\documents\bengt\mplus runs\a book - topic 1 mplus runs\path analysis\hayes p

     Beginning Time:  10:42:15
        Ending Time:  10:42:15
       Elapsed Time:  00:00:00



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