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

INPUT INSTRUCTIONS

  TITLE:	this is an example of a path analysis
  		with continuous dependent variables
  MONTECARLO:			
  		NAMES = y1-y3 x1-x3;
  		NOBSERVATIONS = 500;
  		NREPS = 1;
  		SEED = 53487;
  		SAVE = ex3.11.dat;	
  MODEL POPULATION:
  		[x1-x3@0];
  		x1-x3@1;
  		y1 ON x1*1 x2*2 x3*3;
  		y2 ON x1*3 x2*2 x3*1;
  		y3 ON y1*.5 y2*.75 x2*1;
  		[y1*-1 y2*0 y3*1];
  		y1*1 y2*1.5 y3*2;
  MODEL:
  		y1 ON x1*1 x2*2 x3*3;
  		y2 ON x1*3 x2*2 x3*1;
  		y3 ON y1*.5 y2*.75 x2*1;
  		[y1*-1 y2*0 y3*1];
  		y1*1 y2*1.5 y3*2;
  OUTPUT:	TECH9;



INPUT READING TERMINATED NORMALLY



this is an example of a path analysis
with continuous dependent variables

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                53487

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

Observed dependent variables

  Continuous
   Y1          Y2          Y3

Observed independent variables
   X1          X2          X3


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



SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
      1        -1.108         0.027         0.499         0.046        -0.027


           Means
              X3
              ________
      1        -0.012


           Covariances
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1            17.433
 Y2            11.437        17.103
 Y3            19.935        20.989        31.757
 X1             1.035         3.373         3.059         1.143
 X2             2.463         2.335         4.104         0.039         1.066
 X3             3.412         1.119         2.673        -0.058         0.096


           Covariances
              X3
              ________
 X3             1.074


           Correlations
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.662         1.000
 Y3             0.847         0.901         1.000
 X1             0.232         0.763         0.508         1.000
 X2             0.572         0.547         0.705         0.035         1.000
 X3             0.789         0.261         0.458        -0.052         0.089


           Correlations
              X3
              ________
 X3             1.000


MODEL FIT INFORMATION

Number of Free Parameters                       15

Loglikelihood

    H0 Value

        Mean                             -2364.002
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -2364.002      -2364.002
           0.980       0.000        -2364.002      -2364.002
           0.950       0.000        -2364.002      -2364.002
           0.900       0.000        -2364.002      -2364.002
           0.800       0.000        -2364.002      -2364.002
           0.700       0.000        -2364.002      -2364.002
           0.500       0.000        -2364.002      -2364.002
           0.300       0.000        -2364.002      -2364.002
           0.200       0.000        -2364.002      -2364.002
           0.100       0.000        -2364.002      -2364.002
           0.050       0.000        -2364.002      -2364.002
           0.020       0.000        -2364.002      -2364.002
           0.010       0.000        -2364.002      -2364.002

    H1 Value

        Mean                             -2363.624
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -2363.624      -2363.624
           0.980       0.000        -2363.624      -2363.624
           0.950       0.000        -2363.624      -2363.624
           0.900       0.000        -2363.624      -2363.624
           0.800       0.000        -2363.624      -2363.624
           0.700       0.000        -2363.624      -2363.624
           0.500       0.000        -2363.624      -2363.624
           0.300       0.000        -2363.624      -2363.624
           0.200       0.000        -2363.624      -2363.624
           0.100       0.000        -2363.624      -2363.624
           0.050       0.000        -2363.624      -2363.624
           0.020       0.000        -2363.624      -2363.624
           0.010       0.000        -2363.624      -2363.624

Information Criteria

    Akaike (AIC)

        Mean                              4758.004
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         4758.004       4758.004
           0.980       0.000         4758.004       4758.004
           0.950       0.000         4758.004       4758.004
           0.900       0.000         4758.004       4758.004
           0.800       0.000         4758.004       4758.004
           0.700       0.000         4758.004       4758.004
           0.500       0.000         4758.004       4758.004
           0.300       0.000         4758.004       4758.004
           0.200       0.000         4758.004       4758.004
           0.100       0.000         4758.004       4758.004
           0.050       0.000         4758.004       4758.004
           0.020       0.000         4758.004       4758.004
           0.010       0.000         4758.004       4758.004

    Bayesian (BIC)

        Mean                              4821.223
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         4821.223       4821.223
           0.980       0.000         4821.223       4821.223
           0.950       0.000         4821.223       4821.223
           0.900       0.000         4821.223       4821.223
           0.800       0.000         4821.223       4821.223
           0.700       0.000         4821.223       4821.223
           0.500       0.000         4821.223       4821.223
           0.300       0.000         4821.223       4821.223
           0.200       0.000         4821.223       4821.223
           0.100       0.000         4821.223       4821.223
           0.050       0.000         4821.223       4821.223
           0.020       0.000         4821.223       4821.223
           0.010       0.000         4821.223       4821.223

    Sample-Size Adjusted BIC (n* = (n + 2) / 24)

        Mean                              4773.612
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         4773.612       4773.612
           0.980       0.000         4773.612       4773.612
           0.950       0.000         4773.612       4773.612
           0.900       0.000         4773.612       4773.612
           0.800       0.000         4773.612       4773.612
           0.700       0.000         4773.612       4773.612
           0.500       0.000         4773.612       4773.612
           0.300       0.000         4773.612       4773.612
           0.200       0.000         4773.612       4773.612
           0.100       0.000         4773.612       4773.612
           0.050       0.000         4773.612       4773.612
           0.020       0.000         4773.612       4773.612
           0.010       0.000         4773.612       4773.612

Chi-Square Test of Model Fit

        Degrees of freedom                       3

        Mean                                 0.757
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            0.115          0.757
           0.980       1.000            0.185          0.757
           0.950       1.000            0.352          0.757
           0.900       1.000            0.584          0.757
           0.800       0.000            1.005          0.757
           0.700       0.000            1.424          0.757
           0.500       0.000            2.366          0.757
           0.300       0.000            3.665          0.757
           0.200       0.000            4.642          0.757
           0.100       0.000            6.251          0.757
           0.050       0.000            7.815          0.757
           0.020       0.000            9.837          0.757
           0.010       0.000           11.345          0.757

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations        1

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

SRMR (Standardized Root Mean Square Residual)

        Mean                                 0.001
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.001          0.001
           0.980       0.000            0.001          0.001
           0.950       0.000            0.001          0.001
           0.900       0.000            0.001          0.001
           0.800       0.000            0.001          0.001
           0.700       0.000            0.001          0.001
           0.500       0.000            0.001          0.001
           0.300       0.000            0.001          0.001
           0.200       0.000            0.001          0.001
           0.100       0.000            0.001          0.001
           0.050       0.000            0.001          0.001
           0.020       0.000            0.001          0.001
           0.010       0.000            0.001          0.001


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 Y1       ON
  X1                  1.000     0.9924     0.0000     0.0432     0.0001 1.000 1.000
  X2                  2.000     2.0010     0.0000     0.0448     0.0000 1.000 1.000
  X3                  3.000     3.0520     0.0000     0.0447     0.0027 1.000 1.000

 Y2       ON
  X1                  3.000     2.9349     0.0000     0.0497     0.0042 1.000 1.000
  X2                  2.000     1.9915     0.0000     0.0517     0.0001 1.000 1.000
  X3                  1.000     1.0230     0.0000     0.0515     0.0005 1.000 1.000

 Y3       ON
  Y1                  0.500     0.5066     0.0000     0.0199     0.0000 1.000 1.000
  Y2                  0.750     0.7456     0.0000     0.0197     0.0000 1.000 1.000
  X2                  1.000     1.0458     0.0000     0.0719     0.0021 1.000 1.000

 Intercepts
  Y1                 -1.000    -1.0638     0.0000     0.0461     0.0041 1.000 1.000
  Y2                  0.000    -0.0416     0.0000     0.0531     0.0017 1.000 0.000
  Y3                  1.000     1.0684     0.0000     0.0625     0.0047 1.000 1.000

 Residual Variances
  Y1                  1.000     1.0614     0.0000     0.0671     0.0038 1.000 1.000
  Y2                  1.500     1.4080     0.0000     0.0890     0.0085 1.000 1.000
  Y3                  2.000     1.7170     0.0000     0.1086     0.0801 0.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.979E-02
       (ratio of smallest to largest eigenvalue)


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           NU
              X3
              ________
      1           0


           LAMBDA
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 X1                 0             0             0             0             0
 X2                 0             0             0             0             0
 X3                 0             0             0             0             0


           LAMBDA
              X3
              ________
 Y1                 0
 Y2                 0
 Y3                 0
 X1                 0
 X2                 0
 X3                 0


           THETA
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1                 0
 Y2                 0             0
 Y3                 0             0             0
 X1                 0             0             0             0
 X2                 0             0             0             0             0
 X3                 0             0             0             0             0


           THETA
              X3
              ________
 X3                 0


           ALPHA
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
      1           1             2             3             0             0


           ALPHA
              X3
              ________
      1           0


           BETA
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1                 0             0             0             4             5
 Y2                 0             0             0             7             8
 Y3                10            11             0             0            12
 X1                 0             0             0             0             0
 X2                 0             0             0             0             0
 X3                 0             0             0             0             0


           BETA
              X3
              ________
 Y1                 6
 Y2                 9
 Y3                 0
 X1                 0
 X2                 0
 X3                 0


           PSI
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1                13
 Y2                 0            14
 Y3                 0             0            15
 X1                 0             0             0             0
 X2                 0             0             0             0             0
 X3                 0             0             0             0             0


           PSI
              X3
              ________
 X3                 0


     STARTING VALUES


           NU
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           NU
              X3
              ________
      1         0.000


           LAMBDA
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             0.000         1.000         0.000         0.000         0.000
 Y3             0.000         0.000         1.000         0.000         0.000
 X1             0.000         0.000         0.000         1.000         0.000
 X2             0.000         0.000         0.000         0.000         1.000
 X3             0.000         0.000         0.000         0.000         0.000


           LAMBDA
              X3
              ________
 Y1             0.000
 Y2             0.000
 Y3             0.000
 X1             0.000
 X2             0.000
 X3             1.000


           THETA
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1             0.000
 Y2             0.000         0.000
 Y3             0.000         0.000         0.000
 X1             0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000         0.000


           THETA
              X3
              ________
 X3             0.000


           ALPHA
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
      1        -1.000         0.000         1.000         0.046        -0.027


           ALPHA
              X3
              ________
      1        -0.012


           BETA
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         1.000         2.000
 Y2             0.000         0.000         0.000         3.000         2.000
 Y3             0.500         0.750         0.000         0.000         1.000
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000         0.000


           BETA
              X3
              ________
 Y1             3.000
 Y2             1.000
 Y3             0.000
 X1             0.000
 X2             0.000
 X3             0.000


           PSI
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.000         1.500
 Y3             0.000         0.000         2.000
 X1             0.000         0.000         0.000         1.143
 X2             0.000         0.000         0.000         0.039         1.066
 X3             0.000         0.000         0.000        -0.058         0.096


           PSI
              X3
              ________
 X3             1.074


     POPULATION VALUES


           NU
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              X3
              ________
 1              0.000


           LAMBDA
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             0.000         1.000         0.000         0.000         0.000
 Y3             0.000         0.000         1.000         0.000         0.000
 X1             0.000         0.000         0.000         1.000         0.000
 X2             0.000         0.000         0.000         0.000         1.000
 X3             0.000         0.000         0.000         0.000         0.000


           LAMBDA
              X3
              ________
 Y1             0.000
 Y2             0.000
 Y3             0.000
 X1             0.000
 X2             0.000
 X3             1.000


           THETA
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1             0.000
 Y2             0.000         0.000
 Y3             0.000         0.000         0.000
 X1             0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000         0.000


           THETA
              X3
              ________
 X3             0.000


           ALPHA
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 1             -1.000         0.000         1.000         0.000         0.000


           ALPHA
              X3
              ________
 1              0.000


           BETA
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         1.000         2.000
 Y2             0.000         0.000         0.000         3.000         2.000
 Y3             0.500         0.750         0.000         0.000         1.000
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000         0.000


           BETA
              X3
              ________
 Y1             3.000
 Y2             1.000
 Y3             0.000
 X1             0.000
 X2             0.000
 X3             0.000


           PSI
              Y1            Y2            Y3            X1            X2
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.000         1.500
 Y3             0.000         0.000         2.000
 X1             0.000         0.000         0.000         1.000
 X2             0.000         0.000         0.000         0.000         1.000
 X3             0.000         0.000         0.000         0.000         0.000


           PSI
              X3
              ________
 X3             1.000


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    Y1
    Y2
    Y3
    X1
    X2
    X3

  Save file
    ex3.11.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  14:03:44
        Ending Time:  14:03:44
       Elapsed Time:  00:00:00



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