Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010  11:29 PM

INPUT INSTRUCTIONS

  title: jasad.inp

  montecarlo:
      names are y1 y2 x;
      nobs = 2000;
      nreps = 500;
      seed = 578243;
      classes = c(3);
      genclasses = c(3);
      cutpoints = x(0);

  analysis:
      type = mixture;

  model montecarlo:
      %overall%
      [x@0]; x@1;

      i by y1-y2@1;
      s by y1@0 y2@1;
      [y1-y2@0 i*0 s*1];
      i*6.25; ! SD = 2.5
      s*1;
      !total s variance is 1.25 (1/5 of i variance),  SD = 1.12
      i with s*.699; !this gives correlation 0.25
      y1*2.083 y2*0.417; !this gives y1 and y2 r-square 0.75
      ! y1 variance = 8.333, SD = 2.89
      ! y2 variance = 9.135, SD = 3.052
      ! within-group y2 variance = 9.135 - 0.25 = 9.065, SD = 3.01

      s on x*1;
      !this gives ES = 0.33 in y2 within-group SD terms (for medium class)
      !r-squared for s is 20%

      [c#1*-1.9459 c#2*-1.2528];

      %c#1% !low class (10%)
      [i*0.0 s*.75];
      !low class grows at 1/4 SD per grade
      !low class is lower by 1 SD for intercept,
      !about 1.5 SD lower for slope
      s on x*0.25;

      %c#2% ! high class (20%)
      [i*5.0 s*2.25];
      !high class grows at 3/4 SD per grade
      s on x*.25;
      ! high class has 1/4 effect of low class, ES = 0.08

      %c#3% !medium class (70%)
      [i*2.5 s*2.25];
      !medium class grows at 3/4 SD per grade
      !low class is lower by 1 SD for intercept,
      !about 1.5 SD lower for slope




  model:
      %overall%

      i by y1-y2@1;
      s by y1@0 y2@1;
      [y1-y2@0 i*0 s*1];
      i*6.25; ! SD = 2.5
      s@0;
      !total s variance is 1.25 (1/5 of i variance),  SD = 1.12
      i with s@0; !this gives correlation 0.25
      y1*2.083 y2*0.417; !this gives y1 and y2 r-square 0.75
      ! y1 variance = 8.333, SD = 2.89
      ! y2 variance = 9.135, SD = 3.052
      ! within-group y2 variance = 9.135 - 0.25 = 9.065, SD = 3.01

      s on x*1;
      !this gives ES = 0.33 in y2 within-group SD terms (for medium class)
      !r-squared for s is 20%

      [c#1*-1.9459 c#2*-1.2528];

      %c#1% !low class (10%)
      [i*0.0 s*.75];
      !low class grows at 1/4 SD per grade
      !low class is lower by 1 SD for intercept,
      !about 1.5 SD lower for slope
      s on x*0.25;

      %c#2% ! high class (20%)
      [i*5.0 s*2.25];
      !high class grows at 3/4 SD per grade
      s on x*.25;
      ! high class has 1/4 effect of low class, ES = 0.08

      %c#3% !medium class (70%)
      [i*2.5 s*2.25];
      !medium class grows at 3/4 SD per grade
      !low class is lower by 1 SD for intercept,
      !about 1.5 SD lower for slope


  output:
      tech9;



INPUT READING TERMINATED NORMALLY



jasad.inp

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        2000

Number of replications
    Requested                                                  500
    Completed                                                  500
Value of seed                                               578243

Number of dependent variables                                    2
Number of independent variables                                  1
Number of continuous latent variables                            2
Number of categorical latent variables                           1

Observed dependent variables

  Continuous
   Y1          Y2

Observed independent variables
   X

Continuous latent variables
   I           S

Categorical latent variables
   C


Estimator                                                      MLR
Information matrix                                        OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
  Maximum number of iterations                                 100
  Convergence criterion                                  0.100D-05
Optimization Specifications for the EM Algorithm
  Maximum number of iterations                                 500
  Convergence criteria
    Loglikelihood change                                 0.100D-06
    Relative loglikelihood change                        0.100D-06
    Derivative                                           0.100D-05
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
  Maximum value for logit thresholds                            15
  Minimum value for logit thresholds                           -15
  Minimum expected cell size for chi-square              0.100D-01
Optimization algorithm                                         EMA


SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means
              Y1            Y2            X
              ________      ________      ________
 1              2.719         5.249         0.497


           Covariances
              Y1            Y2            X
              ________      ________      ________
 Y1            10.208
 Y2             9.067        11.948
 X             -0.033         0.152         0.250


           Correlations
              Y1            Y2            X
              ________      ________      ________
 Y1             1.000
 Y2             0.821         1.000
 X             -0.021         0.088         1.000




TESTS OF MODEL FIT

Number of Free Parameters                       14

Loglikelihood

    H0 Value

        Mean                             -9292.831
        Std Dev                             46.972
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.988        -9402.101      -9404.199
           0.980       0.982        -9389.296      -9387.473
           0.950       0.962        -9370.094      -9366.628
           0.900       0.910        -9353.029      -9352.275
           0.800       0.804        -9332.362      -9332.160
           0.700       0.704        -9317.463      -9316.350
           0.500       0.484        -9292.831      -9294.508
           0.300       0.290        -9268.199      -9269.957
           0.200       0.192        -9253.299      -9255.783
           0.100       0.098        -9232.632      -9233.210
           0.050       0.064        -9215.567      -9211.921
           0.020       0.024        -9196.365      -9194.252
           0.010       0.014        -9183.561      -9173.772

Information Criteria

    Akaike (AIC)

        Mean                             18613.661
        Std Dev                             93.943
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986        18395.121      18375.118
           0.980       0.976        18420.730      18413.614
           0.950       0.936        18459.134      18451.515
           0.900       0.902        18493.264      18490.353
           0.800       0.808        18534.599      18539.290
           0.700       0.710        18564.397      18567.705
           0.500       0.516        18613.661      18616.849
           0.300       0.296        18662.925      18660.556
           0.200       0.196        18692.724      18691.981
           0.100       0.090        18734.059      18731.636
           0.050       0.038        18768.188      18758.650
           0.020       0.018        18806.592      18802.869
           0.010       0.012        18832.201      18834.055

    Bayesian (BIC)

        Mean                             18692.074
        Std Dev                             93.943
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986        18473.534      18453.531
           0.980       0.976        18499.143      18492.026
           0.950       0.936        18537.547      18529.927
           0.900       0.902        18571.676      18568.766
           0.800       0.808        18613.011      18617.702
           0.700       0.710        18642.810      18646.118
           0.500       0.516        18692.074      18695.261
           0.300       0.296        18741.338      18738.969
           0.200       0.196        18771.137      18770.394
           0.100       0.090        18812.472      18810.049
           0.050       0.038        18846.601      18837.063
           0.020       0.018        18885.005      18881.281
           0.010       0.012        18910.614      18912.467

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

        Mean                             18647.595
        Std Dev                             93.943
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986        18429.055      18409.052
           0.980       0.976        18454.664      18447.547
           0.950       0.936        18493.068      18485.449
           0.900       0.902        18527.197      18524.287
           0.800       0.808        18568.533      18573.224
           0.700       0.710        18598.331      18601.639
           0.500       0.516        18647.595      18650.782
           0.300       0.296        18696.859      18694.490
           0.200       0.196        18726.658      18725.915
           0.100       0.090        18767.993      18765.570
           0.050       0.038        18802.122      18792.584
           0.020       0.018        18840.526      18836.803
           0.010       0.012        18866.135      18867.988



FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL

    Latent
   Classes

       1        217.00849          0.10850
       2        507.96889          0.25398
       3       1275.02262          0.63751


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASS PATTERNS
BASED ON ESTIMATED POSTERIOR PROBABILITIES

    Latent
   Classes

       1        217.00850          0.10850
       2        507.96888          0.25398
       3       1275.02263          0.63751


CLASSIFICATION QUALITY

     Entropy                         0.418


CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1              136          0.06819
       2              429          0.21450
       3             1435          0.71731


Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)

           1        2        3

    1   0.695    0.059    0.246
    2   0.028    0.683    0.289
    3   0.075    0.155    0.771


MODEL RESULTS

                           ESTIMATES              S. E.     M. S. E.  95%  % Sig
              Population   Average   Std. Dev.   Average             Cover Coeff
Latent Class 1

 I        BY
  Y1               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S        BY
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S          ON
  X                0.250     0.1993     0.8126     0.6804     0.6615 0.938 0.142

 I        WITH
  S                0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Means
  I                0.000    -0.1966     0.9263     0.9146     0.8950 0.838 0.162

 Intercepts
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  S                0.750     0.7148     0.7568     0.6091     0.5728 0.868 0.342

 Variances
  I                6.250     6.5269     1.2264     1.0141     1.5776 0.716 0.976

 Residual Variances
  Y1               2.083     1.3894     0.4718     0.3885     0.7032 0.482 0.830
  Y2               0.417     1.9041     0.5350     0.4594     2.4973 0.186 0.914
  S                0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

Latent Class 2

 I        BY
  Y1               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S        BY
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S          ON
  X                0.250     0.0107     1.2626     0.7471     1.6483 0.738 0.364

 I        WITH
  S                0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Means
  I                5.000     5.3125     1.4696     1.0482     2.2532 0.756 0.962

 Intercepts
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  S                2.250     2.4187     0.9793     0.5840     0.9855 0.706 0.886

 Variances
  I                6.250     6.5269     1.2264     1.0141     1.5776 0.716 0.976

 Residual Variances
  Y1               2.083     1.3894     0.4718     0.3885     0.7032 0.482 0.830
  Y2               0.417     1.9041     0.5350     0.4594     2.4973 0.186 0.914
  S                0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

Latent Class 3

 I        BY
  Y1               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S        BY
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S          ON
  X                1.000     1.1295     0.7206     0.2898     0.5350 0.874 0.948

 I        WITH
  S                0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Means
  I                2.500     2.3560     0.6458     0.4512     0.4369 0.722 0.920

 Intercepts
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  S                2.250     2.2269     0.4516     0.2631     0.2041 0.824 0.964

 Variances
  I                6.250     6.5269     1.2264     1.0141     1.5776 0.716 0.976

 Residual Variances
  Y1               2.083     1.3894     0.4718     0.3885     0.7032 0.482 0.830
  Y2               0.417     1.9041     0.5350     0.4594     2.4973 0.186 0.914
  S                0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

Categorical Latent Variables

 Means
  C#1             -1.946    -1.8513     0.7893     0.6991     0.6306 0.878 0.826
  C#2             -1.253    -1.2545     1.4755     0.9933     2.1726 0.714 0.418


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.125E-02
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


           NU
              Y1            Y2            X
              ________      ________      ________
 1                  0             0             0


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 X                  0             0             0


           THETA
              Y1            Y2            X
              ________      ________      ________
 Y1                 1
 Y2                 0             2
 X                  0             0             0


           ALPHA
              I             S             X
              ________      ________      ________
 1                  3             4             0


           BETA
              I             S             X
              ________      ________      ________
 I                  0             0             0
 S                  0             0             5
 X                  0             0             0


           PSI
              I             S             X
              ________      ________      ________
 I                  6
 S                  0             0
 X                  0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


           NU
              Y1            Y2            X
              ________      ________      ________
 1                  0             0             0


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 X                  0             0             0


           THETA
              Y1            Y2            X
              ________      ________      ________
 Y1                 1
 Y2                 0             2
 X                  0             0             0


           ALPHA
              I             S             X
              ________      ________      ________
 1                  7             8             0


           BETA
              I             S             X
              ________      ________      ________
 I                  0             0             0
 S                  0             0             9
 X                  0             0             0


           PSI
              I             S             X
              ________      ________      ________
 I                  6
 S                  0             0
 X                  0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS 3


           NU
              Y1            Y2            X
              ________      ________      ________
 1                  0             0             0


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 X                  0             0             0


           THETA
              Y1            Y2            X
              ________      ________      ________
 Y1                 1
 Y2                 0             2
 X                  0             0             0


           ALPHA
              I             S             X
              ________      ________      ________
 1                 10            11             0


           BETA
              I             S             X
              ________      ________      ________
 I                  0             0             0
 S                  0             0            12
 X                  0             0             0


           PSI
              I             S             X
              ________      ________      ________
 I                  6
 S                  0             0
 X                  0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2           C#3
              ________      ________      ________
 1                 13            14             0


           GAMMA(C)
              X
              ________
 C#1                0
 C#2                0
 C#3                0


     STARTING VALUES FOR LATENT CLASS 1


           NU
              Y1            Y2            X
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            X
              ________      ________      ________
 Y1             2.083
 Y2             0.000         0.417
 X              0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
 1              0.000         0.750         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.000
 S              0.000         0.000         0.250
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              6.250
 S              0.000         0.000
 X              0.000         0.000         0.500


     STARTING VALUES FOR LATENT CLASS 2


           NU
              Y1            Y2            X
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            X
              ________      ________      ________
 Y1             2.083
 Y2             0.000         0.417
 X              0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
 1              5.000         2.250         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.000
 S              0.000         0.000         0.250
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              6.250
 S              0.000         0.000
 X              0.000         0.000         0.500


     STARTING VALUES FOR LATENT CLASS 3


           NU
              Y1            Y2            X
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            X
              ________      ________      ________
 Y1             2.083
 Y2             0.000         0.417
 X              0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
 1              2.500         2.250         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.000
 S              0.000         0.000         1.000
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              6.250
 S              0.000         0.000
 X              0.000         0.000         0.500


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2           C#3
              ________      ________      ________
 1             -1.946        -1.253         0.000


           GAMMA(C)
              X
              ________
 C#1            0.000
 C#2            0.000
 C#3            0.000


     POPULATION VALUES FOR LATENT CLASS 1


           NU
              Y1            Y2            X
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            X
              ________      ________      ________
 Y1             2.083
 Y2             0.000         0.417
 X              0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
 1              0.000         0.750         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.000
 S              0.000         0.000         0.250
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              6.250
 S              0.699         1.000
 X              0.000         0.000         1.000


     POPULATION VALUES FOR LATENT CLASS 2


           NU
              Y1            Y2            X
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            X
              ________      ________      ________
 Y1             2.083
 Y2             0.000         0.417
 X              0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
 1              5.000         2.250         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.000
 S              0.000         0.000         0.250
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              6.250
 S              0.699         1.000
 X              0.000         0.000         1.000


     POPULATION VALUES FOR LATENT CLASS 3


           NU
              Y1            Y2            X
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              I             S             X
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y1            Y2            X
              ________      ________      ________
 Y1             2.083
 Y2             0.000         0.417
 X              0.000         0.000         0.000


           ALPHA
              I             S             X
              ________      ________      ________
 1              2.500         2.250         0.000


           BETA
              I             S             X
              ________      ________      ________
 I              0.000         0.000         0.000
 S              0.000         0.000         1.000
 X              0.000         0.000         0.000


           PSI
              I             S             X
              ________      ________      ________
 I              6.250
 S              0.699         1.000
 X              0.000         0.000         1.000


     POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2           C#3
              ________      ________      ________
 1             -1.946        -1.253         0.000


           GAMMA(C)
              X
              ________
 C#1            0.000
 C#2            0.000
 C#3            0.000


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)


     REPLICATION 45:
     WARNING:  THE RESIDUAL COVARIANCE MATRIX (THETA)  IN CLASS 1 IS NOT
     POSITIVE DEFINITE.  THIS COULD INDICATE A NEGATIVE VARIANCE/RESIDUAL
     VARIANCE FOR AN OBSERVED VARIABLE, A CORRELATION GREATER OR EQUAL TO ONE
     BETWEEN TWO OBSERVED VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE THAN TWO
     OBSERVED VARIABLES.  CHECK THE RESULTS SECTION FOR MORE INFORMATION.
     PROBLEM INVOLVING VARIABLE Y1.


     REPLICATION 45:
     WARNING:  THE RESIDUAL COVARIANCE MATRIX (THETA)  IN CLASS 2 IS NOT
     POSITIVE DEFINITE.  THIS COULD INDICATE A NEGATIVE VARIANCE/RESIDUAL
     VARIANCE FOR AN OBSERVED VARIABLE, A CORRELATION GREATER OR EQUAL TO ONE
     BETWEEN TWO OBSERVED VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE THAN TWO
     OBSERVED VARIABLES.  CHECK THE RESULTS SECTION FOR MORE INFORMATION.
     PROBLEM INVOLVING VARIABLE Y1.


     REPLICATION 45:
     WARNING:  THE RESIDUAL COVARIANCE MATRIX (THETA)  IN CLASS 3 IS NOT
     POSITIVE DEFINITE.  THIS COULD INDICATE A NEGATIVE VARIANCE/RESIDUAL
     VARIANCE FOR AN OBSERVED VARIABLE, A CORRELATION GREATER OR EQUAL TO ONE
     BETWEEN TWO OBSERVED VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE THAN TWO
     OBSERVED VARIABLES.  CHECK THE RESULTS SECTION FOR MORE INFORMATION.
     PROBLEM INVOLVING VARIABLE Y1.


     REPLICATION 313:
     WARNING:  THE RESIDUAL COVARIANCE MATRIX (THETA)  IN CLASS 1 IS NOT
     POSITIVE DEFINITE.  THIS COULD INDICATE A NEGATIVE VARIANCE/RESIDUAL
     VARIANCE FOR AN OBSERVED VARIABLE, A CORRELATION GREATER OR EQUAL TO ONE
     BETWEEN TWO OBSERVED VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE THAN TWO
     OBSERVED VARIABLES.  CHECK THE RESULTS SECTION FOR MORE INFORMATION.
     PROBLEM INVOLVING VARIABLE Y1.


     REPLICATION 313:
     WARNING:  THE RESIDUAL COVARIANCE MATRIX (THETA)  IN CLASS 2 IS NOT
     POSITIVE DEFINITE.  THIS COULD INDICATE A NEGATIVE VARIANCE/RESIDUAL
     VARIANCE FOR AN OBSERVED VARIABLE, A CORRELATION GREATER OR EQUAL TO ONE
     BETWEEN TWO OBSERVED VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE THAN TWO
     OBSERVED VARIABLES.  CHECK THE RESULTS SECTION FOR MORE INFORMATION.
     PROBLEM INVOLVING VARIABLE Y1.


     REPLICATION 313:
     WARNING:  THE RESIDUAL COVARIANCE MATRIX (THETA)  IN CLASS 3 IS NOT
     POSITIVE DEFINITE.  THIS COULD INDICATE A NEGATIVE VARIANCE/RESIDUAL
     VARIANCE FOR AN OBSERVED VARIABLE, A CORRELATION GREATER OR EQUAL TO ONE
     BETWEEN TWO OBSERVED VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE THAN TWO
     OBSERVED VARIABLES.  CHECK THE RESULTS SECTION FOR MORE INFORMATION.
     PROBLEM INVOLVING VARIABLE Y1.



     Beginning Time:  23:29:34
        Ending Time:  23:31:31
       Elapsed Time:  00:01:57



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