Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017   4:39 AM

INPUT INSTRUCTIONS

  TITLE:	this is an example of moderated mediation with a plot of the indirect effect
  DATA:	FILE = ex3.18.dat;
  VARIABLE:	NAMES = y m x z;
  	USEVARIABLES = y m x z xz;
  DEFINE:	xz = x*z;
  ANALYSIS:	ESTIMATOR = BAYES;
  	PROCESSORS = 2;
  	BITERATIONS = (30000);
  MODEL:	y ON m (b)
  	x z;
       	m ON x (gamma1)
  	z
  	xz (gamma2);
  MODEL CONSTRAINT:
  	PLOT(indirect);
  	LOOP(mod,-2,2,0.1);
  	indirect = b*(gamma1+gamma2*mod);
  PLOT:	TYPE = PLOT2;
  OUTPUT:   TECH8;



INPUT READING TERMINATED NORMALLY



this is an example of moderated mediation with a plot of the indirect effect

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         150

Number of dependent variables                                    2
Number of independent variables                                  3
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   Y           M

Observed independent variables
   X           Z           XZ


Estimator                                                    BAYES
Specifications for Bayesian Estimation
  Point estimate                                            MEDIAN
  Number of Markov chain Monte Carlo (MCMC) chains               2
  Random seed for the first chain                                0
  Starting value information                           UNPERTURBED
  Treatment of categorical mediator                         LATENT
  Algorithm used for Markov chain Monte Carlo           GIBBS(PX1)
  Convergence criterion                                  0.500D-01
  Maximum number of iterations                               50000
  K-th iteration used for thinning                               1

Input data file(s)
  ex3.18.dat
Input data format  FREE



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

     Y                    -0.162      -0.068      -3.054    0.67%      -0.808     -0.354     -0.213
             150.000       0.709       0.769       2.199    0.67%       0.021      0.508
     M                    -0.223       0.235      -2.459    0.67%      -1.178     -0.510     -0.197
             150.000       1.001      -0.244       2.528    0.67%       0.024      0.577
     X                     0.573      -0.297       0.000   42.67%       0.000      0.000      1.000
             150.000       0.245      -1.912       1.000   57.33%       1.000      1.000
     Z                     0.085       0.139      -2.550    0.67%      -0.698     -0.149      0.042
             150.000       0.936       0.120       3.033    0.67%       0.290      0.917
     XZ                    0.073       0.570      -2.550    0.67%      -0.308      0.000      0.000
             150.000       0.549       3.074       3.033    0.67%       0.000      0.433


THE MODEL ESTIMATION TERMINATED NORMALLY

     USE THE FBITERATIONS OPTION TO INCREASE THE NUMBER OF ITERATIONS BY A FACTOR
     OF AT LEAST TWO TO CHECK CONVERGENCE AND THAT THE PSR VALUE DOES NOT INCREASE.



MODEL FIT INFORMATION

Number of Free Parameters                              10

Bayesian Posterior Predictive Checking using Chi-Square

          95% Confidence Interval for the Difference Between
          the Observed and the Replicated Chi-Square Values

                                 -7.445            18.769

          Posterior Predictive P-Value              0.188

Information Criteria

          Deviance (DIC)                          745.265
          Estimated Number of Parameters (pD)       9.913
          Bayesian (BIC)                          775.413



MODEL RESULTS

                                Posterior  One-Tailed         95% C.I.
                    Estimate       S.D.      P-Value   Lower 2.5%  Upper 2.5%  Significance

 Y          ON
    M                  0.518       0.057      0.000       0.406       0.630      *
    X                  0.142       0.115      0.112      -0.085       0.369
    Z                  0.064       0.058      0.133      -0.050       0.180

 M          ON
    X                 -0.301       0.166      0.035      -0.629       0.023
    Z                  0.002       0.131      0.495      -0.259       0.259
    XZ                -0.177       0.172      0.149      -0.518       0.160

 Intercepts
    Y                 -0.134       0.087      0.063      -0.304       0.037
    M                 -0.037       0.125      0.384      -0.285       0.208

 Residual Variances
    Y                  0.471       0.057      0.000       0.376       0.600      *
    M                  1.004       0.120      0.000       0.804       1.276      *


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           LAMBDA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y                  0             0             0             0             0
 M                  0             0             0             0             0
 X                  0             0             0             0             0
 Z                  0             0             0             0             0
 XZ                 0             0             0             0             0


           THETA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y                  0
 M                  0             0
 X                  0             0             0
 Z                  0             0             0             0
 XZ                 0             0             0             0             0


           ALPHA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
                    1             2             0             0             0


           BETA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y                  0             3             4             5             0
 M                  0             0             6             7             8
 X                  0             0             0             0             0
 Z                  0             0             0             0             0
 XZ                 0             0             0             0             0


           PSI
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y                  9
 M                  0            10
 X                  0             0             0
 Z                  0             0             0             0
 XZ                 0             0             0             0             0


     PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS


           NEW/ADDITIONAL PARAMETERS
              INDIRECT      MOD
              ________      ________
                   11            12


     STARTING VALUES


           NU
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           LAMBDA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y              1.000         0.000         0.000         0.000         0.000
 M              0.000         1.000         0.000         0.000         0.000
 X              0.000         0.000         1.000         0.000         0.000
 Z              0.000         0.000         0.000         1.000         0.000
 XZ             0.000         0.000         0.000         0.000         1.000


           THETA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y              0.000
 M              0.000         0.000
 X              0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000
 XZ             0.000         0.000         0.000         0.000         0.000


           ALPHA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
               -0.162        -0.223         0.000         0.000         0.000


           BETA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y              0.000         0.000         0.000         0.000         0.000
 M              0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000
 XZ             0.000         0.000         0.000         0.000         0.000


           PSI
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y              0.354
 M              0.000         0.501
 X              0.000         0.000         0.122
 Z              0.000         0.000         0.000         0.468
 XZ             0.000         0.000         0.000         0.000         0.275


     STARTING VALUES FOR THE ADDITIONAL PARAMETERS


           NEW/ADDITIONAL PARAMETERS
              INDIRECT      MOD
              ________      ________
                0.500         0.000



     PRIORS FOR ALL PARAMETERS            PRIOR MEAN      PRIOR VARIANCE     PRIOR STD. DEV.

     Parameter 1~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 2~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 3~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 4~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 5~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 6~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 7~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 8~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 9~IG(-1.000,0.000)          infinity            infinity            infinity
     Parameter 10~IG(-1.000,0.000)         infinity            infinity            infinity


TECHNICAL 8 OUTPUT



     Kolmogorov-Smirnov comparing posterior distributions across chains 1 and 2 using 100 draws.





     Parameter   KS Statistic P-value
     Parameter 1    0.2100    0.0205
     Parameter 7    0.1500    0.1930
     Parameter 10    0.1200    0.4431
     Parameter 4    0.1200    0.4431
     Parameter 8    0.1000    0.6766
     Parameter 11    0.1000    0.6766
     Parameter 3    0.0800    0.8938
     Parameter 6    0.0600    0.9921
     Parameter 2    0.0600    0.9921
     Parameter 5    0.0400    1.0000
     Parameter 9    0.0300    1.0000
     Parameter 12    0.0000    1.0000



     Simulated prior distributions

     Parameter       Prior Mean  Prior Variance  Prior Std. Dev.


     Parameter 1 Improper Prior
     Parameter 2 Improper Prior
     Parameter 3 Improper Prior
     Parameter 4 Improper Prior
     Parameter 5 Improper Prior
     Parameter 6 Improper Prior
     Parameter 7 Improper Prior
     Parameter 8 Improper Prior
     Parameter 9 Improper Prior
     Parameter 10 Improper Prior
     Parameter 11 Not available
     Parameter 12 Not available


   TECHNICAL 8 OUTPUT FOR BAYES ESTIMATION

     CHAIN    BSEED
     1        0
     2        285380

                     POTENTIAL       PARAMETER WITH
     ITERATION    SCALE REDUCTION      HIGHEST PSR
     100              1.046               7
     200              1.014               8
     300              1.012               8
     400              1.002               4
     500              1.003               5
     600              1.001               7
     700              1.003               8
     800              1.002               4
     900              1.001               8
     1000             1.001               8
     1100             1.002               4
     1200             1.002               5
     1300             1.004               5
     1400             1.003               5
     1500             1.003               5
     1600             1.005               5
     1700             1.003               5
     1800             1.002               5
     1900             1.003               5
     2000             1.002               5
     2100             1.002               5
     2200             1.001               5
     2300             1.002               5
     2400             1.001               5
     2500             1.001               5
     2600             1.002               3
     2700             1.002               5
     2800             1.001               5
     2900             1.001               9
     3000             1.001               9
     3100             1.001               9
     3200             1.001               9
     3300             1.001               9
     3400             1.001               9
     3500             1.001               9
     3600             1.001               1
     3700             1.001               1
     3800             1.000               4
     3900             1.000               1
     4000             1.000               4
     4100             1.000               4
     4200             1.001               4
     4300             1.000               4
     4400             1.000               1
     4500             1.001               1
     4600             1.001               1
     4700             1.001               1
     4800             1.000               1
     4900             1.000               10
     5000             1.001               10
     5100             1.000               10
     5200             1.000               10
     5300             1.000               10
     5400             1.000               10
     5500             1.001               10
     5600             1.001               10
     5700             1.000               10
     5800             1.000               8
     5900             1.000               10
     6000             1.000               10
     6100             1.000               10
     6200             1.000               10
     6300             1.000               10
     6400             1.000               10
     6500             1.000               10
     6600             1.000               10
     6700             1.000               8
     6800             1.000               10
     6900             1.000               10
     7000             1.000               10
     7100             1.000               8
     7200             1.000               6
     7300             1.000               8
     7400             1.000               8
     7500             1.000               8
     7600             1.000               8
     7700             1.000               8
     7800             1.000               8
     7900             1.000               8
     8000             1.000               3
     8100             1.000               3
     8200             1.000               3
     8300             1.000               3
     8400             1.000               3
     8500             1.000               3
     8600             1.000               3
     8700             1.000               3
     8800             1.000               3
     8900             1.000               3
     9000             1.000               3
     9100             1.000               3
     9200             1.000               3
     9300             1.000               3
     9400             1.000               3
     9500             1.000               3
     9600             1.000               3
     9700             1.000               1
     9800             1.000               1
     9900             1.000               1
     10000            1.000               3
     10100            1.000               1
     10200            1.000               3
     10300            1.000               10
     10400            1.000               1
     10500            1.000               1
     10600            1.000               1
     10700            1.000               1
     10800            1.000               5
     10900            1.000               10
     11000            1.000               5
     11100            1.000               5
     11200            1.000               5
     11300            1.000               5
     11400            1.000               10
     11500            1.000               10
     11600            1.000               10
     11700            1.000               10
     11800            1.000               10
     11900            1.000               10
     12000            1.000               10
     12100            1.000               10
     12200            1.000               10
     12300            1.000               10
     12400            1.000               10
     12500            1.000               10
     12600            1.000               10
     12700            1.000               10
     12800            1.000               10
     12900            1.000               10
     13000            1.000               10
     13100            1.000               10
     13200            1.000               10
     13300            1.000               10
     13400            1.000               10
     13500            1.000               1
     13600            1.000               1
     13700            1.000               1
     13800            1.000               1
     13900            1.000               10
     14000            1.000               10
     14100            1.000               10
     14200            1.000               10
     14300            1.000               10
     14400            1.000               10
     14500            1.000               10
     14600            1.000               10
     14700            1.000               4
     14800            1.000               1
     14900            1.000               1
     15000            1.000               1
     15100            1.000               1
     15200            1.000               1
     15300            1.000               1
     15400            1.000               1
     15500            1.000               10
     15600            1.000               3
     15700            1.000               3
     15800            1.000               3
     15900            1.000               3
     16000            1.000               3
     16100            1.000               3
     16200            1.000               3
     16300            1.000               3
     16400            1.000               3
     16500            1.000               3
     16600            1.000               10
     16700            1.000               10
     16800            1.000               10
     16900            1.000               10
     17000            1.000               10
     17100            1.000               10
     17200            1.000               10
     17300            1.000               10
     17400            1.000               10
     17500            1.000               3
     17600            1.000               10
     17700            1.000               3
     17800            1.000               3
     17900            1.000               3
     18000            1.000               3
     18100            1.000               3
     18200            1.000               3
     18300            1.000               3
     18400            1.000               3
     18500            1.000               3
     18600            1.000               3
     18700            1.000               3
     18800            1.000               3
     18900            1.000               3
     19000            1.000               3
     19100            1.000               3
     19200            1.000               3
     19300            1.000               3
     19400            1.000               1
     19500            1.000               1
     19600            1.000               1
     19700            1.000               1
     19800            1.000               1
     19900            1.000               1
     20000            1.000               1
     20100            1.000               1
     20200            1.000               1
     20300            1.000               1
     20400            1.000               1
     20500            1.000               1
     20600            1.000               1
     20700            1.000               1
     20800            1.000               1
     20900            1.000               1
     21000            1.000               1
     21100            1.000               1
     21200            1.000               1
     21300            1.000               1
     21400            1.000               1
     21500            1.000               1
     21600            1.000               1
     21700            1.000               1
     21800            1.000               1
     21900            1.000               1
     22000            1.000               1
     22100            1.000               1
     22200            1.000               1
     22300            1.000               1
     22400            1.000               1
     22500            1.000               1
     22600            1.000               1
     22700            1.000               1
     22800            1.000               1
     22900            1.000               8
     23000            1.000               8
     23100            1.000               1
     23200            1.000               8
     23300            1.000               8
     23400            1.000               8
     23500            1.000               8
     23600            1.000               8
     23700            1.000               9
     23800            1.000               9
     23900            1.000               9
     24000            1.000               9
     24100            1.000               9
     24200            1.000               7
     24300            1.000               7
     24400            1.000               7
     24500            1.000               9
     24600            1.000               7
     24700            1.000               8
     24800            1.000               8
     24900            1.000               9
     25000            1.000               2
     25100            1.000               8
     25200            1.000               8
     25300            1.000               2
     25400            1.000               9
     25500            1.000               7
     25600            1.000               7
     25700            1.000               8
     25800            1.000               8
     25900            1.000               8
     26000            1.000               7
     26100            1.000               2
     26200            1.000               2
     26300            1.000               7
     26400            1.000               7
     26500            1.000               7
     26600            1.000               7
     26700            1.000               7
     26800            1.000               7
     26900            1.000               7
     27000            1.000               2
     27100            1.000               2
     27200            1.000               2
     27300            1.000               2
     27400            1.000               2
     27500            1.000               2
     27600            1.000               2
     27700            1.000               2
     27800            1.000               2
     27900            1.000               2
     28000            1.000               2
     28100            1.000               2
     28200            1.000               2
     28300            1.000               2
     28400            1.000               2
     28500            1.000               2
     28600            1.000               2
     28700            1.000               2
     28800            1.000               2
     28900            1.000               2
     29000            1.000               2
     29100            1.000               2
     29200            1.000               7
     29300            1.000               7
     29400            1.000               7
     29500            1.000               7
     29600            1.000               2
     29700            1.000               2
     29800            1.000               2
     29900            1.000               2
     30000            1.000               2


PLOT INFORMATION

The following plots are available:

  Loop plots
  Bayesian posterior parameter distributions
  Bayesian posterior parameter trace plots
  Bayesian autocorrelation plots
  Bayesian prior parameter distributions
  Bayesian posterior predictive checking scatterplots
  Bayesian posterior predictive checking distribution plots

     Beginning Time:  04:39:38
        Ending Time:  04:39:39
       Elapsed Time:  00:00:01



MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA  90066

Tel: (310) 391-9971
Fax: (310) 391-8971
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