Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010  10:58 PM

INPUT INSTRUCTIONS

  TITLE:  mix8

          Duda & Hart (1973) data, n=25.
          Unequal variances - Everitt & Hand (1981), pp. 41-42
          (note that p. 42 gives estimates for s.d.s', not variances)

          Source:  Everitt, B.S. & Hand, D.J. (1981).  Finite
          mixture distributions. London: Chapman & Hall

  DATA:   FILE IS dudahart.dat;

  VARIABLE: NAMES ARE y;
            USEVAR = y;
            CLASSES = c(2);

  ANALYSIS:  TYPE = MIXTURE;
           MITERATIONS=50;

  MODEL:
          %OVERALL%

          y*.5;
          [y*-1];

          %c#1%
          [y*-1];

          %c#2%
          [y*+1];
          y*.5;

  !        the last statement above relaxes the default
  !        of class-invariant variances


  output: tech1 tech8;





*** WARNING in MODEL command
  All variables are uncorrelated with all other variables within class.
  Check that this is what is intended.
   1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS



mix8

Duda & Hart (1973) data, n=25.
Unequal variances - Everitt & Hand (1981), pp. 41-42
(note that p. 42 gives estimates for s.d.s', not variances)

Source:  Everitt, B.S. & Hand, D.J. (1981).  Finite
mixture distributions. London: Chapman & Hall

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                          25

Number of dependent variables                                    1
Number of independent variables                                  0
Number of continuous latent variables                            0
Number of categorical latent variables                           1

Observed dependent variables

  Continuous
   Y

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                                  50
  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
Random Starts Specifications
  Number of initial stage random starts                         10
  Number of final stage optimizations                            2
  Number of initial stage iterations                            10
  Initial stage convergence criterion                    0.100D+01
  Random starts scale                                    0.500D+01
  Random seed for generating random starts                       0

Input data file(s)
  dudahart.dat
Input data format  FREE


RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST LOGLIKELIHOOD VALUES

Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:

             -50.303  195873           6
             -50.303  127215           9



THE MODEL ESTIMATION TERMINATED NORMALLY



TESTS OF MODEL FIT

Loglikelihood

          H0 Value                         -50.303
          H0 Scaling Correction Factor       0.870
            for MLR

Information Criteria

          Number of Free Parameters              5
          Akaike (AIC)                     110.606
          Bayesian (BIC)                   116.700
          Sample-Size Adjusted BIC         101.195
            (n* = (n + 2) / 24)



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

    Latent
   Classes

       1          6.69060          0.26762
       2         18.30940          0.73238


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

    Latent
   Classes

       1          6.69059          0.26762
       2         18.30941          0.73238


CLASSIFICATION QUALITY

     Entropy                         0.923


CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1                7          0.28000
       2               18          0.72000


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

           1        2

    1   0.950    0.050
    2   0.002    0.998


MODEL RESULTS

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

Latent Class 1

 Means
    Y                 -2.404      0.235    -10.249      0.000

 Variances
    Y                  0.332      0.186      1.784      0.074

Latent Class 2

 Means
    Y                  1.491      0.341      4.366      0.000

 Variances
    Y                  1.790      0.532      3.367      0.001

Categorical Latent Variables

 Means
    C#1               -1.007      0.478     -2.105      0.035


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.289E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


           NU
              Y
              ________
 1                  1


           THETA
              Y
              ________
 Y                  2


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


           NU
              Y
              ________
 1                  3


           THETA
              Y
              ________
 Y                  4


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
 1                  5             0


     STARTING VALUES FOR LATENT CLASS 1


           NU
              Y
              ________
 1             -1.000


           THETA
              Y
              ________
 Y              0.500


     STARTING VALUES FOR LATENT CLASS 2


           NU
              Y
              ________
 1              1.000


           THETA
              Y
              ________
 Y              0.500


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
 1              0.000         0.000


TECHNICAL 8 OUTPUT


  INITIAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.77647911D+02    0.0000000    0.0000000      9.020    15.980    EM
     2 -0.51878238D+02   25.7696729    0.3318785      8.467    16.533    EM
     3 -0.51595335D+02    0.2829034    0.0054532      8.014    16.986    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.58472252D+02    0.0000000    0.0000000      7.879    17.121    EM
     2 -0.50877125D+02    7.5951274    0.1298928      7.378    17.622    EM
     3 -0.50546709D+02    0.3304159    0.0064944      7.091    17.909    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.43487328D+03    0.0000000    0.0000000      0.411    24.589    EM
     2 -0.53655462D+02  381.2178134    0.8766182      0.646    24.354    EM
     3 -0.53356660D+02    0.2988018    0.0055689      1.109    23.891    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.15595281D+03    0.0000000    0.0000000     16.180     8.820    EM
     2 -0.51845874D+02  104.1069330    0.6675541     16.583     8.417    EM
     3 -0.51604400D+02    0.2414736    0.0046575     16.994     8.006    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.15717879D+03    0.0000000    0.0000000      9.542    15.458    EM
     2 -0.53912997D+02  103.2657911    0.6569957      9.542    15.458    EM
     3 -0.53912226D+02    0.0007709    0.0000143      9.543    15.457    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.13733814D+03    0.0000000    0.0000000     19.630     5.370    EM
     2 -0.52746726D+02   84.5914102    0.6159353     19.772     5.228    EM
     3 -0.52591924D+02    0.1548016    0.0029348     19.867     5.133    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.14760558D+03    0.0000000    0.0000000      7.372    17.628    EM
     2 -0.50509372D+02   97.0962121    0.6578085      7.061    17.939    EM
     3 -0.50370239D+02    0.1391338    0.0027546      6.893    18.107    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.14536639D+03    0.0000000    0.0000000      0.398    24.602    EM
     2 -0.53915069D+02   91.4513210    0.6291091      0.399    24.601    EM
     3 -0.53914885D+02    0.0001841    0.0000034      0.399    24.601    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.94805395D+02    0.0000000    0.0000000      8.234    16.766    EM
     2 -0.51256667D+02   43.5487273    0.4593486      7.672    17.328    EM
     3 -0.50815586D+02    0.4410813    0.0086053      7.310    17.690    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.10706306D+03    0.0000000    0.0000000      6.282    18.718    EM
     2 -0.50378186D+02   56.6848732    0.5294531      6.455    18.545    EM
     3 -0.50321747D+02    0.0564389    0.0011203      6.560    18.440    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.15265114D+03    0.0000000    0.0000000     14.080    10.920    EM
     2 -0.53124331D+02   99.5268049    0.6519886     14.069    10.931    EM
     3 -0.52837794D+02    0.2865374    0.0053937     13.913    11.087    EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


     3 -0.50321747D+02    0.0564389    0.0011203      6.560    18.440    EM
     4 -0.50308872D+02    0.0128751    0.0002559      6.619    18.381    EM
     5 -0.50304763D+02    0.0041090    0.0000817      6.652    18.348    EM
     6 -0.50303502D+02    0.0012607    0.0000251      6.670    18.330    EM
     7 -0.50303129D+02    0.0003733    0.0000074      6.680    18.320    EM
     8 -0.50303021D+02    0.0001085    0.0000022      6.685    18.315    EM
     9 -0.50302989D+02    0.0000312    0.0000006      6.687    18.313    EM
    10 -0.50302980D+02    0.0000089    0.0000002      6.689    18.311    EM
    11 -0.50302978D+02    0.0000026    0.0000001      6.690    18.310    EM
    12 -0.50302977D+02    0.0000007    0.0000000      6.690    18.310    EM
    13 -0.50302977D+02    0.0000002    0.0000000      6.690    18.310    EM
    14 -0.50302977D+02    0.0000001    0.0000000      6.690    18.310    EM
    15 -0.50302977D+02    0.0000000    0.0000000      6.691    18.309    EM
    16 -0.50302977D+02    0.0000000    0.0000000      6.691    18.309    EM
    17 -0.50302977D+02    0.0000000    0.0000000      6.691    18.309    EM
    18 -0.50302977D+02    0.0000000    0.0000000      6.691    18.309    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


     3 -0.50370239D+02    0.1391338    0.0027546      6.893    18.107    EM
     4 -0.50321897D+02    0.0483416    0.0009597      6.800    18.200    EM
     5 -0.50308000D+02    0.0138970    0.0002762      6.749    18.251    EM
     6 -0.50304333D+02    0.0036665    0.0000729      6.722    18.278    EM
     7 -0.50303352D+02    0.0009812    0.0000195      6.707    18.293    EM
     8 -0.50303082D+02    0.0002700    0.0000054      6.700    18.300    EM
     9 -0.50303007D+02    0.0000756    0.0000015      6.695    18.305    EM
    10 -0.50302985D+02    0.0000213    0.0000004      6.693    18.307    EM
    11 -0.50302979D+02    0.0000060    0.0000001      6.692    18.308    EM
    12 -0.50302978D+02    0.0000017    0.0000000      6.691    18.309    EM
    13 -0.50302977D+02    0.0000005    0.0000000      6.691    18.309    EM
    14 -0.50302977D+02    0.0000001    0.0000000      6.691    18.309    EM
    15 -0.50302977D+02    0.0000000    0.0000000      6.691    18.309    EM
    16 -0.50302977D+02    0.0000000    0.0000000      6.691    18.309    EM
    17 -0.50302977D+02    0.0000000    0.0000000      6.691    18.309    EM
    18 -0.50302977D+02    0.0000000    0.0000000      6.691    18.309    EM
    19 -0.50302977D+02    0.0000000    0.0000000      6.691    18.309    EM


     Beginning Time:  22:58:13
        Ending Time:  22:58:13
       Elapsed Time:  00:00:00



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