Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  11:13 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of mixture randomized
  	trials modeling using CACE estimation with
  	missing data on the latent class indicator
  DATA:	FILE IS ex7.24.dat;
  VARIABLE:	NAMES ARE u y x1 x2 c;
  	USEVARIABLES ARE u-x2;
  	CLASSES = c (2);
  	CATEGORICAL = u;
  	MISSING = u (999);
  ANALYSIS:	TYPE = MIXTURE;
  MODEL:	
  	%OVERALL%
  	y ON x1 x2;
  	c ON x1;

  	%c#1%
  	[u$1@15];
  	[y];
  	y;
  	y ON x2@0;

  	%c#2%
  	[u$1@-15];
  	[y*.5];
  	y;
  OUTPUT:	TECH1 TECH8;



INPUT READING TERMINATED NORMALLY



this is an example of mixture randomized
trials modeling using CACE estimation with
missing data on the latent class indicator

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                    2
Number of independent variables                                  2
Number of continuous latent variables                            0
Number of categorical latent variables                           1

Observed dependent variables

  Continuous
   Y

  Binary and ordered categorical (ordinal)
   U

Observed independent variables
   X1          X2

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
Maximum number of iterations for H1                           2000
Convergence criterion for H1                             0.100D-03
Optimization algorithm                                         EMA
Random Starts Specifications
  Number of initial stage random starts                         20
  Number of final stage optimizations                            4
  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
Link                                                         LOGIT

Input data file(s)
  ex7.24.dat
Input data format  FREE


SUMMARY OF DATA

     Number of missing data patterns             2
     Number of y missing data patterns           1
     Number of u missing data patterns           2


COVARIANCE COVERAGE OF DATA

Minimum covariance coverage value   0.100


     PROPORTION OF DATA PRESENT


           Covariance Coverage
              U             Y             X1            X2
              ________      ________      ________      ________
 U              0.494
 Y              0.494         1.000
 X1             0.494         1.000         1.000
 X2             0.494         1.000         1.000         1.000


     PROPORTION OF DATA PRESENT FOR U


           Covariance Coverage
              U
              ________
 U              0.494


     PROPORTION OF DATA PRESENT FOR Y


           Covariance Coverage
              Y             X1            X2
              ________      ________      ________
 Y              1.000
 X1             1.000         1.000
 X2             1.000         1.000         1.000


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U
      Category 1    0.437          108.000
      Category 2    0.563          139.000



UNIVARIATE SAMPLE STATISTICS


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS

         Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
        Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median

     Y                     2.519      -0.076      -3.055    0.20%       0.706      2.012      2.554
             500.000       4.592      -0.284       8.649    0.20%       3.012      4.515
     X1                   -0.061      -0.047      -2.629    0.20%      -0.964     -0.303     -0.047
             500.000       1.039      -0.378       2.914    0.20%       0.239      0.828
     X2                    0.494       0.024       0.000   50.60%       0.000      0.000      0.000
             500.000       0.250      -1.999       1.000   49.40%       1.000      1.000

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:

            -920.329  608496           4
            -920.329  939021           8
            -920.329  903420           5
            -920.329  93468            3



THE BEST LOGLIKELIHOOD VALUE HAS BEEN REPLICATED.  RERUN WITH AT LEAST TWICE THE
RANDOM STARTS TO CHECK THAT THE BEST LOGLIKELIHOOD IS STILL OBTAINED AND REPLICATED.


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                        8

Loglikelihood

          H0 Value                        -920.329
          H0 Scaling Correction Factor      0.9713
            for MLR

Information Criteria

          Akaike (AIC)                    1856.658
          Bayesian (BIC)                  1890.375
          Sample-Size Adjusted BIC        1864.983
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit for the Binary and Ordered Categorical
(Ordinal) Outcomes

          Pearson Chi-Square

          Value                              0.557
          Degrees of Freedom                     0
          P-Value                           0.0000

          Likelihood Ratio Chi-Square

          Value                              0.558
          Degrees of Freedom                     0
          P-Value                           0.0000

Chi-Square Test for MCAR under the Unrestricted Latent Class Indicator Model

          Pearson Chi-Square

          Value                              0.000
          Degrees of Freedom                     0
          P-Value                           1.0000

          Likelihood Ratio Chi-Square

          Value                              0.000
          Degrees of Freedom                     0
          P-Value                           1.0000



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

    Latent
   Classes

       1        230.45419          0.46091
       2        269.54581          0.53909


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

    Latent
   Classes

       1        230.45425          0.46091
       2        269.54575          0.53909


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1              228          0.45600
       2              272          0.54400


CLASSIFICATION QUALITY

     Entropy                         0.658


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

           1        2

    1   0.881    0.119
    2   0.109    0.891


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

           1        2

    1   0.872    0.128
    2   0.101    0.899


Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)

              1        2

    1      1.916    0.000
    2     -2.190    0.000


MODEL RESULTS

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

Latent Class 1

 Y          ON
    X1                 1.960      0.068     28.712      0.000
    X2                 0.000      0.000    999.000    999.000

 Intercepts
    Y                  2.123      0.117     18.131      0.000

 Thresholds
    U$1               15.000      0.000    999.000    999.000

 Residual Variances
    Y                  1.957      0.187     10.461      0.000

Latent Class 2

 Y          ON
    X1                 1.960      0.068     28.712      0.000
    X2                 0.628      0.150      4.177      0.000

 Intercepts
    Y                  2.756      0.141     19.584      0.000

 Thresholds
    U$1              -15.000      0.000    999.000    999.000

 Residual Variances
    Y                  0.975      0.087     11.170      0.000

Categorical Latent Variables

 C#1        ON
    X1                 1.541      0.205      7.503      0.000

 Intercepts
    C#1               -0.147      0.151     -0.974      0.330


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.285E-01
       (ratio of smallest to largest eigenvalue)


RESULTS IN PROBABILITY SCALE

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

Latent Class 1

 U
    Category 1         1.000      0.000      0.000      1.000
    Category 2         0.000      0.000      0.000      1.000

Latent Class 2

 U
    Category 1         0.000      0.000      0.000      1.000
    Category 2         1.000      0.000      0.000      1.000


LATENT CLASS INDICATOR ODDS RATIOS FOR THE LATENT CLASSES

                                                95% C.I.
                    Estimate       S.E.  Lower 2.5% Upper 2.5%

Latent Class 1 Compared to Latent Class 2

 U
    Category > 1       0.000      0.000      0.000      0.000


LOGISTIC REGRESSION ODDS RATIO RESULTS

                                                95% C.I.
                    Estimate       S.E.  Lower 2.5% Upper 2.5%

Categorical Latent Variables

 C#1      ON
    X1                 4.670      0.959      3.122      6.985


ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION

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

Parameterization using Reference Class 1

 C#2      ON
    X1                -1.541      0.205     -7.503      0.000

 Intercepts
    C#2                0.147      0.151      0.974      0.330


ODDS RATIO FOR THE ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION

                                                95% C.I.
                    Estimate       S.E.  Lower 2.5% Upper 2.5%

Parameterization using Reference Class 1

 C#2      ON
    X1                 0.214      0.044      0.143      0.320


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


           NU
              Y             X1            X2
              ________      ________      ________
                    0             0             0


           LAMBDA
              Y             X1            X2
              ________      ________      ________
 Y                  0             0             0
 X1                 0             0             0
 X2                 0             0             0


           THETA
              Y             X1            X2
              ________      ________      ________
 Y                  0
 X1                 0             0
 X2                 0             0             0


           ALPHA
              Y             X1            X2
              ________      ________      ________
                    1             0             0


           BETA
              Y             X1            X2
              ________      ________      ________
 Y                  0             2             0
 X1                 0             0             0
 X2                 0             0             0


           PSI
              Y             X1            X2
              ________      ________      ________
 Y                  3
 X1                 0             0
 X2                 0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


           NU
              Y             X1            X2
              ________      ________      ________
                    0             0             0


           LAMBDA
              Y             X1            X2
              ________      ________      ________
 Y                  0             0             0
 X1                 0             0             0
 X2                 0             0             0


           THETA
              Y             X1            X2
              ________      ________      ________
 Y                  0
 X1                 0             0
 X2                 0             0             0


           ALPHA
              Y             X1            X2
              ________      ________      ________
                    4             0             0


           BETA
              Y             X1            X2
              ________      ________      ________
 Y                  0             2             5
 X1                 0             0             0
 X2                 0             0             0


           PSI
              Y             X1            X2
              ________      ________      ________
 Y                  6
 X1                 0             0
 X2                 0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U$1
              ________
                    0


           TAU(U) FOR LATENT CLASS 2
              U$1
              ________
                    0


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
                    7             0


           GAMMA(C)
              X1            X2
              ________      ________
 C#1                8             0
 C#2                0             0


     STARTING VALUES FOR LATENT CLASS 1


           NU
              Y             X1            X2
              ________      ________      ________
                0.000         0.000         0.000


           LAMBDA
              Y             X1            X2
              ________      ________      ________
 Y              1.000         0.000         0.000
 X1             0.000         1.000         0.000
 X2             0.000         0.000         1.000


           THETA
              Y             X1            X2
              ________      ________      ________
 Y              0.000
 X1             0.000         0.000
 X2             0.000         0.000         0.000


           ALPHA
              Y             X1            X2
              ________      ________      ________
                0.376         0.000         0.000


           BETA
              Y             X1            X2
              ________      ________      ________
 Y              0.000         0.000         0.000
 X1             0.000         0.000         0.000
 X2             0.000         0.000         0.000


           PSI
              Y             X1            X2
              ________      ________      ________
 Y              2.296
 X1             0.000         0.520
 X2             0.000         0.000         0.125


     STARTING VALUES FOR LATENT CLASS 2


           NU
              Y             X1            X2
              ________      ________      ________
                0.000         0.000         0.000


           LAMBDA
              Y             X1            X2
              ________      ________      ________
 Y              1.000         0.000         0.000
 X1             0.000         1.000         0.000
 X2             0.000         0.000         1.000


           THETA
              Y             X1            X2
              ________      ________      ________
 Y              0.000
 X1             0.000         0.000
 X2             0.000         0.000         0.000


           ALPHA
              Y             X1            X2
              ________      ________      ________
                0.500         0.000         0.000


           BETA
              Y             X1            X2
              ________      ________      ________
 Y              0.000         0.000         0.000
 X1             0.000         0.000         0.000
 X2             0.000         0.000         0.000


           PSI
              Y             X1            X2
              ________      ________      ________
 Y              2.296
 X1             0.000         0.520
 X2             0.000         0.000         0.125


     STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U$1
              ________
               15.000


           TAU(U) FOR LATENT CLASS 2
              U$1
              ________
              -15.000


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


           GAMMA(C)
              X1            X2
              ________      ________
 C#1            0.000         0.000
 C#2            0.000         0.000


TECHNICAL 8 OUTPUT


  INITIAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.18117641D+04    0.0000000    0.0000000  EM
              2 -0.94431132D+03  867.4527416    0.4787890  EM
              3 -0.92990155D+03   14.4097758    0.0152596  EM
              4 -0.92402218D+03    5.8793662    0.0063226  EM
              5 -0.92175251D+03    2.2696720    0.0024563  EM
              6 -0.92088265D+03    0.8698597    0.0009437  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.49364830D+04    0.0000000    0.0000000  EM
              2 -0.99059598D+03 3945.8870438    0.7993316  EM
              3 -0.94549139D+03   45.1045875    0.0455328  EM
              4 -0.93116719D+03   14.3242026    0.0151500  EM
              5 -0.92486209D+03    6.3051032    0.0067712  EM
              6 -0.92218976D+03    2.6723232    0.0028894  EM
              7 -0.92108781D+03    1.1019504    0.0011949  EM
              8 -0.92063771D+03    0.4501057    0.0004887  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.55213266D+04    0.0000000    0.0000000  EM
              2 -0.96807607D+03 4553.2505466    0.8246660  EM
              3 -0.93470659D+03   33.3694790    0.0344699  EM
              4 -0.92573624D+03    8.9703535    0.0095970  EM
              5 -0.92241290D+03    3.3233385    0.0035899  EM
              6 -0.92114393D+03    1.2689699    0.0013757  EM
              7 -0.92065219D+03    0.4917436    0.0005338  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.23559220D+04    0.0000000    0.0000000  EM
              2 -0.96450662D+03 1391.4153864    0.5906033  EM
              3 -0.93499409D+03   29.5125305    0.0305986  EM
              4 -0.92548421D+03    9.5098805    0.0101711  EM
              5 -0.92208708D+03    3.3971257    0.0036706  EM
              6 -0.92090522D+03    1.1818636    0.0012817  EM
              7 -0.92051421D+03    0.3910136    0.0004246  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.23302159D+04    0.0000000    0.0000000  EM
              2 -0.96733630D+03 1362.8795684    0.5848727  EM
              3 -0.93528273D+03   32.0535735    0.0331359  EM
              4 -0.92539741D+03    9.8853258    0.0105693  EM
              5 -0.92196600D+03    3.4314013    0.0037080  EM
              6 -0.92082537D+03    1.1406337    0.0012372  EM
              7 -0.92047316D+03    0.3522090    0.0003825  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.34590119D+04    0.0000000    0.0000000  EM
              2 -0.96481398D+03 2494.1979406    0.7210724  EM
              3 -0.93126787D+03   33.5461125    0.0347695  EM
              4 -0.92350657D+03    7.7613022    0.0083341  EM
              5 -0.92120575D+03    2.3008146    0.0024914  EM
              6 -0.92055680D+03    0.6489509    0.0007045  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.49605714D+04    0.0000000    0.0000000  EM
              2 -0.13426806D+04 3617.8908027    0.7293295  EM
              3 -0.98000126D+03  362.6793032    0.2701159  EM
              4 -0.94025395D+03   39.7473027    0.0405584  EM
              5 -0.92778627D+03   12.4676846    0.0132599  EM
              6 -0.92310216D+03    4.6841115    0.0050487  EM
              7 -0.92134923D+03    1.7529244    0.0018989  EM
              8 -0.92070326D+03    0.6459739    0.0007011  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.34904930D+04    0.0000000    0.0000000  EM
              2 -0.95962372D+03 2530.8692390    0.7250750  EM
              3 -0.92411871D+03   35.5050134    0.0369989  EM
              4 -0.92167299D+03    2.4457178    0.0026465  EM
              5 -0.92082379D+03    0.8491987    0.0009214  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.28039026D+04    0.0000000    0.0000000  EM
              2 -0.96639372D+03 1837.5088415    0.6553398  EM
              3 -0.93387491D+03   32.5188004    0.0336496  EM
              4 -0.92526697D+03    8.6079444    0.0092174  EM
              5 -0.92214005D+03    3.1269235    0.0033795  EM
              6 -0.92098487D+03    1.1551819    0.0012527  EM
              7 -0.92056642D+03    0.4184456    0.0004543  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.64803436D+04    0.0000000    0.0000000  EM
              2 -0.97028623D+03 5510.0573346    0.8502724  EM
              3 -0.93570779D+03   34.5784326    0.0356374  EM
              4 -0.92618189D+03    9.5259041    0.0101804  EM
              5 -0.92259429D+03    3.5875992    0.0038735  EM
              6 -0.92121182D+03    1.3824752    0.0014985  EM
              7 -0.92067602D+03    0.5357988    0.0005816  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.28797241D+04    0.0000000    0.0000000  EM
              2 -0.13437391D+04 1535.9849889    0.5333792  EM
              3 -0.99460335D+03  349.1357781    0.2598241  EM
              4 -0.96870081D+03   25.9025393    0.0260431  EM
              5 -0.95381606D+03   14.8847488    0.0153657  EM
              6 -0.94304583D+03   10.7702262    0.0112917  EM
              7 -0.93493727D+03    8.1085625    0.0085983  EM
              8 -0.92882009D+03    6.1171853    0.0065429  EM
              9 -0.92465505D+03    4.1650395    0.0044842  EM
             10 -0.92231244D+03    2.3426018    0.0025335  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.40184056D+04    0.0000000    0.0000000  EM
              2 -0.15278834D+04 2490.5221902    0.6197787  EM
              3 -0.96947043D+03  558.4129456    0.3654814  EM
              4 -0.93511578D+03   34.3546524    0.0354365  EM
              5 -0.92589014D+03    9.2256408    0.0098658  EM
              6 -0.92245603D+03    3.4341094    0.0037090  EM
              7 -0.92114454D+03    1.3114856    0.0014217  EM
              8 -0.92064372D+03    0.5008221    0.0005437  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.32670711D+04    0.0000000    0.0000000  EM
              2 -0.24944601D+04  772.6109793    0.2364843  EM
              3 -0.14792911D+04 1015.1689767    0.4069694  EM
              4 -0.10391978D+04  440.0932838    0.2975028  EM
              5 -0.10047963D+04   34.4015589    0.0331040  EM
              6 -0.98856321D+03   16.2330445    0.0161556  EM
              7 -0.97298225D+03   15.5809580    0.0157612  EM
              8 -0.95905739D+03   13.9248599    0.0143115  EM
              9 -0.94773319D+03   11.3242011    0.0118076  EM
             10 -0.93888365D+03    8.8495450    0.0093376  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.31150712D+04    0.0000000    0.0000000  EM
              2 -0.97184587D+03 2143.2253474    0.6880181  EM
              3 -0.93440186D+03   37.4440122    0.0385288  EM
              4 -0.92743392D+03    6.9679407    0.0074571  EM
              5 -0.92360703D+03    3.8268890    0.0041263  EM
              6 -0.92173307D+03    1.8739592    0.0020290  EM
              7 -0.92090920D+03    0.8238679    0.0008938  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.48935229D+04    0.0000000    0.0000000  EM
              2 -0.93603522D+03 3957.4876752    0.8087196  EM
              3 -0.92276378D+03   13.2714408    0.0141784  EM
              4 -0.92105352D+03    1.7102543    0.0018534  EM
              5 -0.92056701D+03    0.4865121    0.0005282  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.25581119D+04    0.0000000    0.0000000  EM
              2 -0.95494127D+03 1603.1706597    0.6267007  EM
              3 -0.93010157D+03   24.8396927    0.0260117  EM
              4 -0.92383077D+03    6.2708010    0.0067421  EM
              5 -0.92163227D+03    2.1984973    0.0023798  EM
              6 -0.92082735D+03    0.8049217    0.0008734  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.45520951D+04    0.0000000    0.0000000  EM
              2 -0.14336295D+04 3118.4655436    0.6850616  EM
              3 -0.97971035D+03  453.9191976    0.3166224  EM
              4 -0.94025364D+03   39.4567133    0.0402739  EM
              5 -0.92807218D+03   12.1814600    0.0129555  EM
              6 -0.92327866D+03    4.7935149    0.0051650  EM
              7 -0.92142212D+03    1.8565476    0.0020108  EM
              8 -0.92072976D+03    0.6923520    0.0007514  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.29961519D+04    0.0000000    0.0000000  EM
              2 -0.10025566D+04 1993.5952431    0.6653852  EM
              3 -0.97063823D+03   31.9184105    0.0318370  EM
              4 -0.95620913D+03   14.4291032    0.0148656  EM
              5 -0.94546433D+03   10.7448040    0.0112369  EM
              6 -0.93710837D+03    8.3559519    0.0088379  EM
              7 -0.93057031D+03    6.5380670    0.0069769  EM
              8 -0.92582053D+03    4.7497728    0.0051042  EM
              9 -0.92293755D+03    2.8829838    0.0031140  EM
             10 -0.92148180D+03    1.4557459    0.0015773  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.30727134D+04    0.0000000    0.0000000  EM
              2 -0.96529662D+03 2107.4167440    0.6858488  EM
              3 -0.93766588D+03   27.6307400    0.0286241  EM
              4 -0.92795054D+03    9.7153414    0.0103612  EM
              5 -0.92359990D+03    4.3506440    0.0046884  EM
              6 -0.92171327D+03    1.8866305    0.0020427  EM
              7 -0.92091387D+03    0.7993998    0.0008673  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.36602246D+04    0.0000000    0.0000000  EM
              2 -0.98852155D+03 2671.7030270    0.7299287  EM
              3 -0.94204139D+03   46.4801659    0.0470199  EM
              4 -0.92868576D+03   13.3556274    0.0141773  EM
              5 -0.92349481D+03    5.1909485    0.0055896  EM
              6 -0.92150073D+03    1.9940764    0.0021593  EM
              7 -0.92075863D+03    0.7420993    0.0008053  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.49565761D+04    0.0000000    0.0000000  EM
              2 -0.12308156D+04 3725.7604924    0.7516803  EM
              3 -0.95052062D+03  280.2950063    0.2277311  EM
              4 -0.92944571D+03   21.0749125    0.0221720  EM
              5 -0.92378804D+03    5.6576657    0.0060871  EM
              6 -0.92162270D+03    2.1653454    0.0023440  EM
              7 -0.92080824D+03    0.8144613    0.0008837  EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


              7 -0.92047316D+03    0.3522090    0.0003825  EM
              8 -0.92037050D+03    0.1026569    0.0001115  EM
              9 -0.92034126D+03    0.0292410    0.0000318  EM
             10 -0.92033283D+03    0.0084309    0.0000092  EM
             11 -0.92033030D+03    0.0025300    0.0000027  EM
             12 -0.92032950D+03    0.0008040    0.0000009  EM
             13 -0.92032923D+03    0.0002721    0.0000003  EM
             14 -0.92032913D+03    0.0000976    0.0000001  EM
             15 -0.92032909D+03    0.0000367    0.0000000  EM
             16 -0.92032908D+03    0.0000143    0.0000000  EM
             17 -0.92032907D+03    0.0000057    0.0000000  EM
             18 -0.92032907D+03    0.0000023    0.0000000  EM
             19 -0.92032907D+03    0.0000009    0.0000000  EM
             20 -0.92032907D+03    0.0000004    0.0000000  EM
             21 -0.92032907D+03    0.0000002    0.0000000  EM
             22 -0.92032907D+03    0.0000001    0.0000000  EM
             23 -0.92032907D+03    0.0000000    0.0000000  EM
             24 -0.92032907D+03    0.0000000    0.0000000  EM
             25 -0.92032907D+03    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


              7 -0.92051421D+03    0.3910136    0.0004246  EM
              8 -0.92038920D+03    0.1250063    0.0001358  EM
              9 -0.92034929D+03    0.0399064    0.0000434  EM
             10 -0.92033619D+03    0.0131015    0.0000142  EM
             11 -0.92033169D+03    0.0044984    0.0000049  EM
             12 -0.92033007D+03    0.0016208    0.0000018  EM
             13 -0.92032946D+03    0.0006092    0.0000007  EM
             14 -0.92032923D+03    0.0002365    0.0000003  EM
             15 -0.92032913D+03    0.0000940    0.0000001  EM
             16 -0.92032909D+03    0.0000379    0.0000000  EM
             17 -0.92032908D+03    0.0000155    0.0000000  EM
             18 -0.92032907D+03    0.0000063    0.0000000  EM
             19 -0.92032907D+03    0.0000026    0.0000000  EM
             20 -0.92032907D+03    0.0000011    0.0000000  EM
             21 -0.92032907D+03    0.0000004    0.0000000  EM
             22 -0.92032907D+03    0.0000002    0.0000000  EM
             23 -0.92032907D+03    0.0000001    0.0000000  EM
             24 -0.92032907D+03    0.0000000    0.0000000  EM
             25 -0.92032907D+03    0.0000000    0.0000000  EM
             26 -0.92032907D+03    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


              6 -0.92055680D+03    0.6489509    0.0007045  EM
              7 -0.92038612D+03    0.1706784    0.0001854  EM
              8 -0.92034329D+03    0.0428339    0.0000465  EM
              9 -0.92033270D+03    0.0105855    0.0000115  EM
             10 -0.92033005D+03    0.0026542    0.0000029  EM
             11 -0.92032935D+03    0.0006946    0.0000008  EM
             12 -0.92032916D+03    0.0001946    0.0000002  EM
             13 -0.92032910D+03    0.0000594    0.0000001  EM
             14 -0.92032908D+03    0.0000198    0.0000000  EM
             15 -0.92032907D+03    0.0000071    0.0000000  EM
             16 -0.92032907D+03    0.0000027    0.0000000  EM
             17 -0.92032907D+03    0.0000011    0.0000000  EM
             18 -0.92032907D+03    0.0000004    0.0000000  EM
             19 -0.92032907D+03    0.0000002    0.0000000  EM
             20 -0.92032907D+03    0.0000001    0.0000000  EM
             21 -0.92032907D+03    0.0000000    0.0000000  EM
             22 -0.92032907D+03    0.0000000    0.0000000  EM
             23 -0.92032907D+03    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


              7 -0.92056642D+03    0.4184456    0.0004543  EM
              8 -0.92041633D+03    0.1500905    0.0001630  EM
              9 -0.92036195D+03    0.0543752    0.0000591  EM
             10 -0.92034178D+03    0.0201712    0.0000219  EM
             11 -0.92033409D+03    0.0076916    0.0000084  EM
             12 -0.92033108D+03    0.0030063    0.0000033  EM
             13 -0.92032989D+03    0.0011979    0.0000013  EM
             14 -0.92032940D+03    0.0004838    0.0000005  EM
             15 -0.92032921D+03    0.0001972    0.0000002  EM
             16 -0.92032913D+03    0.0000809    0.0000001  EM
             17 -0.92032909D+03    0.0000333    0.0000000  EM
             18 -0.92032908D+03    0.0000137    0.0000000  EM
             19 -0.92032907D+03    0.0000057    0.0000000  EM
             20 -0.92032907D+03    0.0000023    0.0000000  EM
             21 -0.92032907D+03    0.0000010    0.0000000  EM
             22 -0.92032907D+03    0.0000004    0.0000000  EM
             23 -0.92032907D+03    0.0000002    0.0000000  EM
             24 -0.92032907D+03    0.0000001    0.0000000  EM
             25 -0.92032907D+03    0.0000000    0.0000000  EM
             26 -0.92032907D+03    0.0000000    0.0000000  EM
             27 -0.92032907D+03    0.0000000    0.0000000  EM


     Beginning Time:  23:13:09
        Ending Time:  23:13:09
       Elapsed Time:  00:00:00



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