```Mplus VERSION 7.4
MUTHEN & MUTHEN
06/03/2016   2:42 PM

INPUT INSTRUCTIONS

TITLE: MacKinnon Chapter 6 Multiple Mediator Model Path Analysis with OCG Data

DATA:
Type = STD CORRELATION;
Nobservations = 3214;
File = Chap6_ocgexample.txt;

VARIABLE:
Names = income occ educ numsib fathocc fatheduc;
Usevariables = income occ educ numsib fathocc fatheduc;

ANALYSIS:
Estimator = ML;

MODEL:
income ON educ occ fatheduc numsib fathocc;
educ ON fathocc numsib fatheduc;
occ ON educ fathocc numsib fatheduc;

MODEL INDIRECT:
income IND fathocc;
! income VIA educ fathocc;
! income VIA occ fathocc;

OUTPUT:
sampstat standardized;

MacKinnon Chapter 6 Multiple Mediator Model Path Analysis with OCG Data

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        3214

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

Observed dependent variables

Continuous
INCOME      OCC         EDUC

Observed independent variables
NUMSIB      FATHOCC     FATHEDUC

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

Input data file(s)
Chap6_ocgexample.txt

Input data format  FREE

SAMPLE STATISTICS

SAMPLE STATISTICS

Covariances/Correlations/Residual Correlations
INCOME        OCC           EDUC          NUMSIB        FATHOCC
________      ________      ________      ________      ________
INCOME        28.730
OCC           58.514       610.584
EDUC           6.447        50.812        10.240
NUMSIB        -2.705       -19.577        -3.051         8.294
FATHOCC       32.087       222.941        32.144       -16.501       535.460
FATHEDUC       4.650        29.360         4.819        -3.076        45.623

Covariances/Correlations/Residual Correlations
FATHEDUC
________
FATHEDUC      13.838

THE MODEL ESTIMATION TERMINATED NORMALLY

MODEL FIT INFORMATION

Number of Free Parameters                       15

Loglikelihood

H0 Value                      -31322.178
H1 Value                      -31322.178

Information Criteria

Akaike (AIC)                   62674.356
Bayesian (BIC)                 62765.485
(n* = (n + 2) / 24)

Chi-Square Test of Model Fit

Value                              0.000
Degrees of Freedom                     0
P-Value                           0.0000

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                           3600.501
Degrees of Freedom                    12
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

INCOME   ON
EDUC               0.200      0.036      5.494      0.000
OCC                0.070      0.004     15.685      0.000
FATHEDUC           0.071      0.028      2.585      0.010
NUMSIB            -0.037      0.031     -1.186      0.236
FATHOCC            0.011      0.004      2.535      0.011

EDUC     ON
FATHOCC            0.038      0.002     15.528      0.000
NUMSIB            -0.228      0.018    -12.947      0.000
FATHEDUC           0.171      0.016     10.958      0.000

OCC      ON
EDUC               4.377      0.120     36.413      0.000
FATHOCC            0.135      0.017      7.725      0.000
NUMSIB            -0.463      0.123     -3.761      0.000
FATHEDUC           0.049      0.108      0.453      0.650

Residual Variances
INCOME            22.516      0.562     40.087      0.000
OCC              347.452      8.667     40.087      0.000
EDUC               7.483      0.187     40.087      0.000

STANDARDIZED MODEL RESULTS

STDYX Standardization

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

INCOME   ON
EDUC               0.119      0.022      5.513      0.000
OCC                0.325      0.020     16.164      0.000
FATHEDUC           0.049      0.019      2.586      0.010
NUMSIB            -0.020      0.017     -1.186      0.236
FATHOCC            0.049      0.019      2.537      0.011

EDUC     ON
FATHOCC            0.278      0.017     15.921      0.000
NUMSIB            -0.205      0.016    -13.145      0.000
FATHEDUC           0.198      0.018     11.089      0.000

OCC      ON
EDUC               0.567      0.014     41.428      0.000
FATHOCC            0.127      0.016      7.746      0.000
NUMSIB            -0.054      0.014     -3.763      0.000
FATHEDUC           0.007      0.016      0.453      0.650

Residual Variances
INCOME             0.784      0.013     60.986      0.000
OCC                0.569      0.013     43.188      0.000
EDUC               0.731      0.013     54.651      0.000

STDY Standardization

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

INCOME   ON
EDUC               0.119      0.022      5.513      0.000
OCC                0.325      0.020     16.164      0.000
FATHEDUC           0.013      0.005      2.587      0.010
NUMSIB            -0.007      0.006     -1.186      0.235
FATHOCC            0.002      0.001      2.538      0.011

EDUC     ON
FATHOCC            0.012      0.001     16.121      0.000
NUMSIB            -0.071      0.005    -13.285      0.000
FATHEDUC           0.053      0.005     11.161      0.000

OCC      ON
EDUC               0.567      0.014     41.428      0.000
FATHOCC            0.005      0.001      7.771      0.000
NUMSIB            -0.019      0.005     -3.767      0.000
FATHEDUC           0.002      0.004      0.453      0.650

Residual Variances
INCOME             0.784      0.013     60.986      0.000
OCC                0.569      0.013     43.188      0.000
EDUC               0.731      0.013     54.651      0.000

STD Standardization

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

INCOME   ON
EDUC               0.200      0.036      5.494      0.000
OCC                0.070      0.004     15.685      0.000
FATHEDUC           0.071      0.028      2.585      0.010
NUMSIB            -0.037      0.031     -1.186      0.236
FATHOCC            0.011      0.004      2.535      0.011

EDUC     ON
FATHOCC            0.038      0.002     15.528      0.000
NUMSIB            -0.228      0.018    -12.947      0.000
FATHEDUC           0.171      0.016     10.958      0.000

OCC      ON
EDUC               4.377      0.120     36.413      0.000
FATHOCC            0.135      0.017      7.725      0.000
NUMSIB            -0.463      0.123     -3.761      0.000
FATHEDUC           0.049      0.108      0.453      0.650

Residual Variances
INCOME            22.516      0.562     40.087      0.000
OCC              347.452      8.667     40.087      0.000
EDUC               7.483      0.187     40.087      0.000

R-SQUARE

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

INCOME             0.216      0.013     16.806      0.000
OCC                0.431      0.013     32.684      0.000
EDUC               0.269      0.013     20.113      0.000

QUALITY OF NUMERICAL RESULTS

Condition Number for the Information Matrix              0.269E-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 FATHOCC to INCOME

Total                0.040      0.005      8.734      0.000
Total indirect       0.029      0.002     13.334      0.000

Specific indirect

INCOME
OCC
FATHOCC            0.010      0.001      6.930      0.000

INCOME
EDUC
FATHOCC            0.008      0.001      5.180      0.000

INCOME
OCC
EDUC
FATHOCC            0.012      0.001     10.561      0.000

Direct
INCOME
FATHOCC            0.011      0.004      2.535      0.011

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

STDYX Standardization

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

Effects from FATHOCC to INCOME

Total                0.175      0.020      8.828      0.000
Total indirect       0.125      0.009     13.715      0.000

Specific indirect

INCOME
OCC
FATHOCC            0.041      0.006      6.977      0.000

INCOME
EDUC
FATHOCC            0.033      0.006      5.200      0.000

INCOME
OCC
EDUC
FATHOCC            0.051      0.005     10.770      0.000

Direct
INCOME
FATHOCC            0.049      0.019      2.537      0.011

STDY Standardization

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

Effects from FATHOCC to INCOME

Total                0.008      0.001      8.875      0.000
Total indirect       0.005      0.000     13.892      0.000

Specific indirect

INCOME
OCC
FATHOCC            0.002      0.000      7.000      0.000

INCOME
EDUC
FATHOCC            0.001      0.000      5.209      0.000

INCOME
OCC
EDUC
FATHOCC            0.002      0.000     10.856      0.000

Direct
INCOME
FATHOCC            0.002      0.001      2.538      0.011

STD Standardization

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

Effects from FATHOCC to INCOME

Total                0.040      0.005      8.734      0.000
Total indirect       0.029      0.002     13.334      0.000

Specific indirect

INCOME
OCC
FATHOCC            0.010      0.001      6.930      0.000

INCOME
EDUC
FATHOCC            0.008      0.001      5.180      0.000

INCOME
OCC
EDUC
FATHOCC            0.012      0.001     10.561      0.000

Direct
INCOME
FATHOCC            0.011      0.004      2.535      0.011

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\path an

Beginning Time:  14:42:26
Ending Time:  14:42:26
Elapsed Time:  00:00:00

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