Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017   3:29 AM

INPUT INSTRUCTIONS

  Title: N=1 bivariate cross-lagged analysis w latent variables

  MONTECARLO:  NAMES ARE y11-y14 y21-y24;
               NOBS = 100;
               NREP = 1;
               save = ex6.28.dat;

  ANALYSIS:
      		estimator=bayes;
              biter=(500);
              proc=2;

  MODEL POPULATION:
      f1 by y11@1 y12-y14*1 (&1);
      f2 by y21@1 y22-y24*1 (&1);
      f1 on f1&1*.4 f2&1*.2;
      f2 on f2&1*.3 f1&1*.2;
      f1-f2*1;
      f1 with f2*.5;
      y11-y24*1;

  MODEL:
      f1 by y11@1 y12-y14*1 (&1);
      f2 by y21@1 y22-y24*1 (&1);
      f1 on f1&1*.4 f2&1*.2;
      f2 on f2&1*.3 f1&1*.2;
      f1-f2*1;
      f1 with f2*.5;
      y11-y24*1;

  output:
      tech8;



INPUT READING TERMINATED NORMALLY



N=1 bivariate cross-lagged analysis w latent variables

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         100

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                    0

Number of dependent variables                                    8
Number of independent variables                                  0
Number of continuous latent variables                            4

Observed dependent variables

  Continuous
   Y11         Y12         Y13         Y14         Y21         Y22
   Y23         Y24

Continuous latent variables
   F1          F2          F1&1        F2&1


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





MODEL FIT INFORMATION

Number of Free Parameters                       29

Information Criteria

    Deviance (DIC)

        Mean                              2394.403
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         2394.403       2394.403
           0.980       0.000         2394.403       2394.403
           0.950       0.000         2394.403       2394.403
           0.900       0.000         2394.403       2394.403
           0.800       0.000         2394.403       2394.403
           0.700       0.000         2394.403       2394.403
           0.500       0.000         2394.403       2394.403
           0.300       0.000         2394.403       2394.403
           0.200       0.000         2394.403       2394.403
           0.100       0.000         2394.403       2394.403
           0.050       0.000         2394.403       2394.403
           0.020       0.000         2394.403       2394.403
           0.010       0.000         2394.403       2394.403

    Estimated Number of Parameters (pD)

        Mean                               154.229
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000          154.229        154.229
           0.980       0.000          154.229        154.229
           0.950       0.000          154.229        154.229
           0.900       0.000          154.229        154.229
           0.800       0.000          154.229        154.229
           0.700       0.000          154.229        154.229
           0.500       0.000          154.229        154.229
           0.300       0.000          154.229        154.229
           0.200       0.000          154.229        154.229
           0.100       0.000          154.229        154.229
           0.050       0.000          154.229        154.229
           0.020       0.000          154.229        154.229
           0.010       0.000          154.229        154.229



MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 F1       BY
  Y11                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y12                 1.000     1.0933     0.0000     0.1257     0.0087 1.000 1.000
  Y13                 1.000     1.2026     0.0000     0.1510     0.0411 1.000 1.000
  Y14                 1.000     1.1725     0.0000     0.1463     0.0298 1.000 1.000

 F2       BY
  Y21                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y22                 1.000     1.0856     0.0000     0.1427     0.0073 1.000 1.000
  Y23                 1.000     1.0604     0.0000     0.1463     0.0036 1.000 1.000
  Y24                 1.000     0.8804     0.0000     0.1239     0.0143 1.000 1.000

 F1         ON
  F1&1                0.400     0.4511     0.0000     0.1323     0.0026 1.000 1.000
  F2&1                0.200     0.1901     0.0000     0.1342     0.0001 1.000 0.000

 F2         ON
  F2&1                0.300     0.4263     0.0000     0.1523     0.0159 1.000 1.000
  F1&1                0.200     0.1246     0.0000     0.1408     0.0057 1.000 0.000

 F1       WITH
  F2                  0.500     0.4949     0.0000     0.1821     0.0000 1.000 1.000

 Intercepts
  Y11                 0.000     0.1190     0.0000     0.2789     0.0142 1.000 0.000
  Y12                 0.000     0.2716     0.0000     0.2817     0.0738 1.000 0.000
  Y13                 0.000     0.2557     0.0000     0.3148     0.0654 1.000 0.000
  Y14                 0.000     0.2326     0.0000     0.3150     0.0541 1.000 0.000
  Y21                 0.000     0.0661     0.0000     0.2409     0.0044 1.000 0.000
  Y22                 0.000     0.0259     0.0000     0.2557     0.0007 1.000 0.000
  Y23                 0.000     0.2106     0.0000     0.2632     0.0443 1.000 0.000
  Y24                 0.000    -0.0098     0.0000     0.2273     0.0001 1.000 0.000

 Residual Variances
  Y11                 1.000     0.9028     0.0000     0.1717     0.0094 1.000 1.000
  Y12                 1.000     0.7806     0.0000     0.1515     0.0481 1.000 1.000
  Y13                 1.000     1.0107     0.0000     0.1898     0.0001 1.000 1.000
  Y14                 1.000     1.2247     0.0000     0.2301     0.0505 1.000 1.000
  Y21                 1.000     0.8195     0.0000     0.1622     0.0326 1.000 1.000
  Y22                 1.000     0.8100     0.0000     0.1891     0.0361 1.000 1.000
  Y23                 1.000     1.1410     0.0000     0.2155     0.0199 1.000 1.000
  Y24                 1.000     1.2568     0.0000     0.2382     0.0660 1.000 1.000
  F1                  1.000     0.9590     0.0000     0.2585     0.0017 1.000 1.000
  F2                  1.000     1.0656     0.0000     0.3277     0.0043 1.000 1.000


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y11           Y12           Y13           Y14           Y21
              ________      ________      ________      ________      ________
                    1             2             3             4             5


           NU
              Y22           Y23           Y24
              ________      ________      ________
                    6             7             8


           LAMBDA
              F1            F2            F1&1          F2&1
              ________      ________      ________      ________
 Y11                0             0             0             0
 Y12                9             0             0             0
 Y13               10             0             0             0
 Y14               11             0             0             0
 Y21                0             0             0             0
 Y22                0            12             0             0
 Y23                0            13             0             0
 Y24                0            14             0             0


           THETA
              Y11           Y12           Y13           Y14           Y21
              ________      ________      ________      ________      ________
 Y11               15
 Y12                0            16
 Y13                0             0            17
 Y14                0             0             0            18
 Y21                0             0             0             0            19
 Y22                0             0             0             0             0
 Y23                0             0             0             0             0
 Y24                0             0             0             0             0


           THETA
              Y22           Y23           Y24
              ________      ________      ________
 Y22               20
 Y23                0            21
 Y24                0             0            22


           ALPHA
              F1            F2            F1&1          F2&1
              ________      ________      ________      ________
                    0             0             0             0


           BETA
              F1            F2            F1&1          F2&1
              ________      ________      ________      ________
 F1                 0             0            23            24
 F2                 0             0            25            26
 F1&1               0             0             0             0
 F2&1               0             0             0             0


           PSI
              F1            F2            F1&1          F2&1
              ________      ________      ________      ________
 F1                27
 F2                28            29
 F1&1               0             0             0
 F2&1               0             0             0             0


     STARTING VALUES


           NU
              Y11           Y12           Y13           Y14           Y21
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              Y22           Y23           Y24
              ________      ________      ________
                0.000         0.000         0.000


           LAMBDA
              F1            F2            F1&1          F2&1
              ________      ________      ________      ________
 Y11            1.000         0.000         0.000         0.000
 Y12            1.000         0.000         0.000         0.000
 Y13            1.000         0.000         0.000         0.000
 Y14            1.000         0.000         0.000         0.000
 Y21            0.000         1.000         0.000         0.000
 Y22            0.000         1.000         0.000         0.000
 Y23            0.000         1.000         0.000         0.000
 Y24            0.000         1.000         0.000         0.000


           THETA
              Y11           Y12           Y13           Y14           Y21
              ________      ________      ________      ________      ________
 Y11            1.000
 Y12            0.000         1.000
 Y13            0.000         0.000         1.000
 Y14            0.000         0.000         0.000         1.000
 Y21            0.000         0.000         0.000         0.000         1.000
 Y22            0.000         0.000         0.000         0.000         0.000
 Y23            0.000         0.000         0.000         0.000         0.000
 Y24            0.000         0.000         0.000         0.000         0.000


           THETA
              Y22           Y23           Y24
              ________      ________      ________
 Y22            1.000
 Y23            0.000         1.000
 Y24            0.000         0.000         1.000


           ALPHA
              F1            F2            F1&1          F2&1
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           BETA
              F1            F2            F1&1          F2&1
              ________      ________      ________      ________
 F1             0.000         0.000         0.400         0.200
 F2             0.000         0.000         0.200         0.300
 F1&1           0.000         0.000         0.000         0.000
 F2&1           0.000         0.000         0.000         0.000


           PSI
              F1            F2            F1&1          F2&1
              ________      ________      ________      ________
 F1             1.000
 F2             0.500         1.000
 F1&1           0.000         0.000         1.000
 F2&1           0.000         0.000         0.000         1.000


     POPULATION VALUES


           NU
              Y11           Y12           Y13           Y14           Y21
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              Y22           Y23           Y24
              ________      ________      ________
                0.000         0.000         0.000


           LAMBDA
              F1            F2            F1&1          F2&1
              ________      ________      ________      ________
 Y11            1.000         0.000         0.000         0.000
 Y12            1.000         0.000         0.000         0.000
 Y13            1.000         0.000         0.000         0.000
 Y14            1.000         0.000         0.000         0.000
 Y21            0.000         1.000         0.000         0.000
 Y22            0.000         1.000         0.000         0.000
 Y23            0.000         1.000         0.000         0.000
 Y24            0.000         1.000         0.000         0.000


           THETA
              Y11           Y12           Y13           Y14           Y21
              ________      ________      ________      ________      ________
 Y11            1.000
 Y12            0.000         1.000
 Y13            0.000         0.000         1.000
 Y14            0.000         0.000         0.000         1.000
 Y21            0.000         0.000         0.000         0.000         1.000
 Y22            0.000         0.000         0.000         0.000         0.000
 Y23            0.000         0.000         0.000         0.000         0.000
 Y24            0.000         0.000         0.000         0.000         0.000


           THETA
              Y22           Y23           Y24
              ________      ________      ________
 Y22            1.000
 Y23            0.000         1.000
 Y24            0.000         0.000         1.000


           ALPHA
              F1            F2            F1&1          F2&1
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           BETA
              F1            F2            F1&1          F2&1
              ________      ________      ________      ________
 F1             0.000         0.000         0.400         0.200
 F2             0.000         0.000         0.200         0.300
 F1&1           0.000         0.000         0.000         0.000
 F2&1           0.000         0.000         0.000         0.000


           PSI
              F1            F2            F1&1          F2&1
              ________      ________      ________      ________
 F1             1.000
 F2             0.500         1.000
 F1&1           0.000         0.000         1.000
 F2&1           0.000         0.000         0.000         1.000



     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~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 10~N(0.000,infinity)          0.0000            infinity            infinity
     Parameter 11~N(0.000,infinity)          0.0000            infinity            infinity
     Parameter 12~N(0.000,infinity)          0.0000            infinity            infinity
     Parameter 13~N(0.000,infinity)          0.0000            infinity            infinity
     Parameter 14~N(0.000,infinity)          0.0000            infinity            infinity
     Parameter 15~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 16~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 17~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 18~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 19~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 20~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 21~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 22~IG(-1.000,0.000)         infinity            infinity            infinity
     Parameter 23~N(0.000,infinity)          0.0000            infinity            infinity
     Parameter 24~N(0.000,infinity)          0.0000            infinity            infinity
     Parameter 25~N(0.000,infinity)          0.0000            infinity            infinity
     Parameter 26~N(0.000,infinity)          0.0000            infinity            infinity
     Parameter 27~IW(0.000,-3)             infinity            infinity            infinity
     Parameter 28~IW(0.000,-3)             infinity            infinity            infinity
     Parameter 29~IW(0.000,-3)             infinity            infinity            infinity


TECHNICAL 8 OUTPUT

     REPLICATION 1:



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





     Parameter   KS Statistic P-value
     Parameter 6    0.3200    0.0000

     REPLICATION 1:


     THE KOLMOGOROV-SMIRNOV DISTRIBUTION TEST FOR PARAMETER 6 HAS A P-VALUE 0.0000,
     INDICATING DISCREPANT POSTERIOR DISTRIBUTIONS IN THE DIFFERENT MCMC CHAINS.
     THIS MAY INDICATE NON-CONVERGENCE DUE TO AN INSUFFICIENT NUMBER OF MCMC ITERATIONS OR IT MAY
     INDICATE A NON-IDENTIFIED MODEL. SPECIFY A LARGER NUMBER OF MCMC ITERATIONS USING THE FBITER
     OPTION OF THE ANALYSIS COMMAND TO INVESTIGATE THE PROBLEM.

     Parameter 7    0.3100    0.0001
     Parameter 5    0.2900    0.0003
     Parameter 3    0.2700    0.0010
     Parameter 4    0.2600    0.0018
     Parameter 8    0.2600    0.0018
     Parameter 1    0.2400    0.0050
     Parameter 2    0.2200    0.0131
     Parameter 23    0.2100    0.0205
     Parameter 15    0.1700    0.0994
     Parameter 16    0.1600    0.1400
     Parameter 22    0.1600    0.1400
     Parameter 12    0.1600    0.1400
     Parameter 24    0.1500    0.1930
     Parameter 13    0.1500    0.1930
     Parameter 29    0.1500    0.1930
     Parameter 10    0.1400    0.2606
     Parameter 27    0.1300    0.3439
     Parameter 14    0.1100    0.5560
     Parameter 11    0.1100    0.5560
     Parameter 21    0.1000    0.6766
     Parameter 17    0.0700    0.9610
     Parameter 18    0.0600    0.9921
     Parameter 19    0.0600    0.9921
     Parameter 25    0.0600    0.9921
     Parameter 20    0.0600    0.9921
     Parameter 9    0.0500    0.9995
     Parameter 28    0.0400    1.0000
     Parameter 26    0.0300    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 Improper Prior
     Parameter 12 Improper Prior
     Parameter 13 Improper Prior
     Parameter 14 Improper Prior
     Parameter 15 Improper Prior
     Parameter 16 Improper Prior
     Parameter 17 Improper Prior
     Parameter 18 Improper Prior
     Parameter 19 Improper Prior
     Parameter 20 Improper Prior
     Parameter 21 Improper Prior
     Parameter 22 Improper Prior
     Parameter 23 Improper Prior
     Parameter 24 Improper Prior
     Parameter 25 Improper Prior
     Parameter 26 Improper Prior
     Parameter 27 Improper Prior
     Parameter 28 Improper Prior
     Parameter 29 Improper Prior


   TECHNICAL 8 OUTPUT FOR BAYES ESTIMATION

     CHAIN    BSEED
     1        0
     2        285380

     REPLICATION 1:


                     POTENTIAL       PARAMETER WITH
     ITERATION    SCALE REDUCTION      HIGHEST PSR
     100              1.196               4
     200              1.081               9
     300              1.468               6
     400              1.348               1
     500              1.134               1
     600              1.075               5


SAVEDATA INFORMATION

  Order of variables

    Y11
    Y12
    Y13
    Y14
    Y21
    Y22
    Y23
    Y24

  Save file
    ex6.28.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  03:29:16
        Ending Time:  03:29:17
       Elapsed Time:  00:00:01



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