Mplus VERSION 7.2
MUTHEN & MUTHEN
05/07/2014   2:03 PM

INPUT INSTRUCTIONS

  title:	
      this is an example of multiple imputation of
      plausible values generated from a multiple
      indicator linear growth model for categorical
      outcomes using Bayesian estimation

      The Monte Carlo setup is the same as mcex6.15,
      except Bayes estimation is used instead of WLSMV

  montecarlo:
  	names = u11 u21 u31 u12 u22 u32 u13 u23 u33;
  	generate = u11-u33(1);
  	categorical = u11-u33;
  	nobs = 500;
  	nreps = 1;
  	save = ex11.7.dat;

  model montecarlo:	

  	f1 by	u11@1
              u21*1 (1)
              u31*1 (2);
  	f2 by 	u12@1
  			u22*1 (1)
  			u32*1 (2);
  	f3 by 	u13@1
  			u23*1 (1)
  			u33*1 (2);

  	[u11$1*-.5 u12$1*-.5 u13$1*-.5] (3);
  	[u21$1*0 u22$1*0 u23$1*0] (4);
  	[u31$1*.5 u32$1*.5 u33$1*.5] (5);

  	i s | f1@0 f2@1 f3@2;

  	[i@0 s*1];
  	i*.4  s*0;

  	f1-f3*.4;

  analysis:
      estimator = bayes;
      process = 2;


  model:	

      f1 by	u11@1
              u21*1 (1)
              u31*1 (2);
  	f2 by 	u12@1
  			u22*1 (1)
  			u32*1 (2);
  	f3 by 	u13@1
  			u23*1 (1)
  			u33*1 (2);

  	[u11$1*-.5 u12$1*-.5 u13$1*-.5] (3);
  	[u21$1*0 u22$1*0 u23$1*0] (4);
  	[u31$1*.5 u32$1*.5 u33$1*.5] (5);

  	i s | f1@0 f2@1 f3@2;

  	[i@0 s*1];
  	i*.4 s*0;

  	f1-f3*.4;


  output:
  	tech9;



INPUT READING TERMINATED NORMALLY




this is an example of multiple imputation of
plausible values generated from a multiple
indicator linear growth model for categorical
outcomes using Bayesian estimation

The Monte Carlo setup is the same as mcex6.15,
except Bayes estimation is used instead of WLSMV

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                    0

Number of dependent variables                                    9
Number of independent variables                                  0
Number of continuous latent variables                            5

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U11         U21         U31         U12         U22         U32
   U13         U23         U33

Continuous latent variables
   F1          F2          F3          I           S


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                       12

Bayesian Posterior Predictive Checking using Chi-Square

    Posterior Predictive P-Value

        Number of successful computations        1

             Proportions
        Expected    Observed
           0.990       1.000
           0.980       1.000
           0.950       1.000
           0.900       1.000
           0.800       1.000
           0.700       1.000
           0.500       0.000
           0.300       0.000
           0.200       0.000
           0.100       0.000
           0.050       0.000
           0.020       0.000
           0.010       0.000



MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 I        |
  F1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  F2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  F3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S        |
  F1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  F2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  F3                  2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000

 F1       BY
  U11                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U21                 1.000     1.0857     0.0000     0.1190     0.0073 1.000 1.000
  U31                 1.000     1.1478     0.0000     0.1346     0.0218 1.000 1.000

 F2       BY
  U12                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U22                 1.000     1.0857     0.0000     0.1190     0.0073 1.000 1.000
  U32                 1.000     1.1478     0.0000     0.1346     0.0218 1.000 1.000

 F3       BY
  U13                 1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  U23                 1.000     1.0857     0.0000     0.1190     0.0073 1.000 1.000
  U33                 1.000     1.1478     0.0000     0.1346     0.0218 1.000 1.000

 S        WITH
  I                   0.000    -0.1163     0.0000     0.0725     0.0135 0.000 1.000

 Means
  I                   0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  S                   1.000     0.9328     0.0000     0.0614     0.0045 1.000 1.000

 Intercepts
  F1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  F2                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  F3                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Thresholds
  U11$1              -0.500    -0.6581     0.0000     0.0670     0.0250 0.000 1.000
  U21$1               0.000    -0.0149     0.0000     0.0704     0.0002 1.000 0.000
  U31$1               0.500     0.4892     0.0000     0.0912     0.0001 1.000 1.000
  U12$1              -0.500    -0.6581     0.0000     0.0670     0.0250 0.000 1.000
  U22$1               0.000    -0.0149     0.0000     0.0704     0.0002 1.000 0.000
  U32$1               0.500     0.4892     0.0000     0.0912     0.0001 1.000 1.000
  U13$1              -0.500    -0.6581     0.0000     0.0670     0.0250 0.000 1.000
  U23$1               0.000    -0.0149     0.0000     0.0704     0.0002 1.000 0.000
  U33$1               0.500     0.4892     0.0000     0.0912     0.0001 1.000 1.000

 Variances
  I                   0.400     0.5268     0.0000     0.1421     0.0161 1.000 1.000
  S                   0.000     0.0734     0.0000     0.0483     0.0054 0.000 1.000

 Residual Variances
  F1                  0.400     0.4899     0.0000     0.1820     0.0081 1.000 1.000
  F2                  0.400     0.3995     0.0000     0.1201     0.0000 1.000 1.000
  F3                  0.400     0.4550     0.0000     0.1968     0.0030 1.000 1.000


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           TAU
              U11$1         U21$1         U31$1         U12$1         U22$1
              ________      ________      ________      ________      ________
 1                 10            11            12            10            11


           TAU
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
 1                 12            10            11            12


           NU
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           NU
              U32           U13           U23           U33
              ________      ________      ________      ________
 1                  0             0             0             0


           LAMBDA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 U11                0             0             0             0             0
 U21                1             0             0             0             0
 U31                2             0             0             0             0
 U12                0             0             0             0             0
 U22                0             1             0             0             0
 U32                0             2             0             0             0
 U13                0             0             0             0             0
 U23                0             0             1             0             0
 U33                0             0             2             0             0


           THETA
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 U11                0
 U21                0             0
 U31                0             0             0
 U12                0             0             0             0
 U22                0             0             0             0             0
 U32                0             0             0             0             0
 U13                0             0             0             0             0
 U23                0             0             0             0             0
 U33                0             0             0             0             0


           THETA
              U32           U13           U23           U33
              ________      ________      ________      ________
 U32                0
 U13                0             0
 U23                0             0             0
 U33                0             0             0             0


           ALPHA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 1                  0             0             0             0             3


           BETA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 F1                 0             0             0             0             0
 F2                 0             0             0             0             0
 F3                 0             0             0             0             0
 I                  0             0             0             0             0
 S                  0             0             0             0             0


           PSI
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 F1                 4
 F2                 0             5
 F3                 0             0             6
 I                  0             0             0             7
 S                  0             0             0             8             9


     STARTING VALUES


           TAU
              U11$1         U21$1         U31$1         U12$1         U22$1
              ________      ________      ________      ________      ________
 1             -0.500         0.000         0.500        -0.500         0.000


           TAU
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
 1              0.500        -0.500         0.000         0.500


           NU
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              U32           U13           U23           U33
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           LAMBDA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 U11            1.000         0.000         0.000         0.000         0.000
 U21            1.000         0.000         0.000         0.000         0.000
 U31            1.000         0.000         0.000         0.000         0.000
 U12            0.000         1.000         0.000         0.000         0.000
 U22            0.000         1.000         0.000         0.000         0.000
 U32            0.000         1.000         0.000         0.000         0.000
 U13            0.000         0.000         1.000         0.000         0.000
 U23            0.000         0.000         1.000         0.000         0.000
 U33            0.000         0.000         1.000         0.000         0.000


           THETA
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 U11            1.000
 U21            0.000         1.000
 U31            0.000         0.000         1.000
 U12            0.000         0.000         0.000         1.000
 U22            0.000         0.000         0.000         0.000         1.000
 U32            0.000         0.000         0.000         0.000         0.000
 U13            0.000         0.000         0.000         0.000         0.000
 U23            0.000         0.000         0.000         0.000         0.000
 U33            0.000         0.000         0.000         0.000         0.000


           THETA
              U32           U13           U23           U33
              ________      ________      ________      ________
 U32            1.000
 U13            0.000         1.000
 U23            0.000         0.000         1.000
 U33            0.000         0.000         0.000         1.000


           ALPHA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         1.000


           BETA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 F1             0.000         0.000         0.000         1.000         0.000
 F2             0.000         0.000         0.000         1.000         1.000
 F3             0.000         0.000         0.000         1.000         2.000
 I              0.000         0.000         0.000         0.000         0.000
 S              0.000         0.000         0.000         0.000         0.000


           PSI
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 F1             0.400
 F2             0.000         0.400
 F3             0.000         0.000         0.400
 I              0.000         0.000         0.000         0.400
 S              0.000         0.000         0.000         0.000         0.000


     POPULATION VALUES


           TAU
              U11$1         U21$1         U31$1         U12$1         U22$1
              ________      ________      ________      ________      ________
 1             -0.500         0.000         0.500        -0.500         0.000


           TAU
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
 1              0.500        -0.500         0.000         0.500


           NU
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              U32           U13           U23           U33
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           LAMBDA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 U11            1.000         0.000         0.000         0.000         0.000
 U21            1.000         0.000         0.000         0.000         0.000
 U31            1.000         0.000         0.000         0.000         0.000
 U12            0.000         1.000         0.000         0.000         0.000
 U22            0.000         1.000         0.000         0.000         0.000
 U32            0.000         1.000         0.000         0.000         0.000
 U13            0.000         0.000         1.000         0.000         0.000
 U23            0.000         0.000         1.000         0.000         0.000
 U33            0.000         0.000         1.000         0.000         0.000


           THETA
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 U11            0.000
 U21            0.000         0.000
 U31            0.000         0.000         0.000
 U12            0.000         0.000         0.000         0.000
 U22            0.000         0.000         0.000         0.000         0.000
 U32            0.000         0.000         0.000         0.000         0.000
 U13            0.000         0.000         0.000         0.000         0.000
 U23            0.000         0.000         0.000         0.000         0.000
 U33            0.000         0.000         0.000         0.000         0.000


           THETA
              U32           U13           U23           U33
              ________      ________      ________      ________
 U32            0.000
 U13            0.000         0.000
 U23            0.000         0.000         0.000
 U33            0.000         0.000         0.000         0.000


           ALPHA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         1.000


           BETA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 F1             0.000         0.000         0.000         1.000         0.000
 F2             0.000         0.000         0.000         1.000         1.000
 F3             0.000         0.000         0.000         1.000         2.000
 I              0.000         0.000         0.000         0.000         0.000
 S              0.000         0.000         0.000         0.000         0.000


           PSI
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 F1             0.400
 F2             0.000         0.400
 F3             0.000         0.000         0.400
 I              0.000         0.000         0.000         0.400
 S              0.000         0.000         0.000         0.000         0.000



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

     Parameter 1~N(0.000,5.000)              0.0000              5.0000              2.2361
     Parameter 2~N(0.000,5.000)              0.0000              5.0000              2.2361
     Parameter 3~N(0.000,infinity)           0.0000            infinity            infinity
     Parameter 4~IG(-1.000,0.000)          infinity            infinity            infinity
     Parameter 5~IG(-1.000,0.000)          infinity            infinity            infinity
     Parameter 6~IG(-1.000,0.000)          infinity            infinity            infinity
     Parameter 7~IW(0.000,-3)              infinity            infinity            infinity
     Parameter 8~IW(0.000,-3)              infinity            infinity            infinity
     Parameter 9~IW(0.000,-3)              infinity            infinity            infinity
     Parameter 10~N(0.000,5.000)             0.0000              5.0000              2.2361
     Parameter 11~N(0.000,5.000)             0.0000              5.0000              2.2361
     Parameter 12~N(0.000,5.000)             0.0000              5.0000              2.2361


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    U11
    U21
    U31
    U12
    U22
    U32
    U13
    U23
    U33

  Save file
    ex11.7.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  14:03:06
        Ending Time:  14:03:09
       Elapsed Time:  00:00:03



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