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

INPUT INSTRUCTIONS

  TITLE:	this is an example of a LCGA for a count
  	outcome using a zero-inflated Poisson
  	model
  DATA:	FILE IS ex8.11.dat;
  VARIABLE:	NAMES ARE u1-u4 c;
  	USEV = u1-u4;
  	COUNT = u1-u4 (i);
  	CLASSES = c (2);
  ANALYSIS:	TYPE = MIXTURE;
  MODEL:
  	%OVERALL%
  	i s | u1@0 u2@1 u3@2 u4@3;
  	ii si | u1#1@0 u2#1@1 u3#1@2 u4#1@3;
  OUTPUT: 	TECH1 TECH8;



INPUT READING TERMINATED NORMALLY



this is an example of a LCGA for a count
outcome using a zero-inflated Poisson
model

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                    4
Number of independent variables                                  0
Number of continuous latent variables                            4
Number of categorical latent variables                           1

Observed dependent variables

  Count
   U1          U2          U3          U4

Continuous latent variables
   I           S           II          SI

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
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

Input data file(s)
  ex8.11.dat
Input data format  FREE


COUNT PROPORTION OF ZERO, MINIMUM AND MAXIMUM VALUES

      U1          0.654         0        10
      U2          0.574         0         9
      U3          0.454         0        11
      U4          0.386         0        14


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

1 perturbed starting value run(s) did not converge in the initial stage
optimizations.

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

           -3107.216  68985            17
           -3107.216  285380           1
           -3107.216  939021           8
           -3107.216  27071            15



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                        7

Loglikelihood

          H0 Value                       -3107.216
          H0 Scaling Correction Factor      0.9676
            for MLR

Information Criteria

          Akaike (AIC)                    6228.432
          Bayesian (BIC)                  6257.934
          Sample-Size Adjusted BIC        6235.716
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit for the Count Outcomes**

          Pearson Chi-Square

          Value                           2437.702
          Degrees of Freedom                  9983
          P-Value                           1.0000

          Likelihood Ratio Chi-Square

          Value                            881.534
          Degrees of Freedom                  9983
          P-Value                           1.0000

** Of the 10000 cells in the latent class indicator table, 9
   were deleted in the calculation of chi-square due to extreme values.

** Large values were truncated at 9.



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

    Latent
   Classes

       1        259.78482          0.51957
       2        240.21518          0.48043


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

    Latent
   Classes

       1        259.78482          0.51957
       2        240.21518          0.48043


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

Class Counts and Proportions

    Latent
   Classes

       1              292          0.58400
       2              208          0.41600


CLASSIFICATION QUALITY

     Entropy                         0.437


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

           1        2

    1   0.793    0.207
    2   0.136    0.864


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

           1        2

    1   0.891    0.109
    2   0.252    0.748


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

              1        2

    1      2.104    0.000
    2     -1.089    0.000


MODEL RESULTS

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

Latent Class 1

 I        |
    U1                 1.000      0.000    999.000    999.000
    U2                 1.000      0.000    999.000    999.000
    U3                 1.000      0.000    999.000    999.000
    U4                 1.000      0.000    999.000    999.000

 S        |
    U1                 0.000      0.000    999.000    999.000
    U2                 1.000      0.000    999.000    999.000
    U3                 2.000      0.000    999.000    999.000
    U4                 3.000      0.000    999.000    999.000

 II       |
    U1#1               1.000      0.000    999.000    999.000
    U2#1               1.000      0.000    999.000    999.000
    U3#1               1.000      0.000    999.000    999.000
    U4#1               1.000      0.000    999.000    999.000

 SI       |
    U1#1               0.000      0.000    999.000    999.000
    U2#1               1.000      0.000    999.000    999.000
    U3#1               2.000      0.000    999.000    999.000
    U4#1               3.000      0.000    999.000    999.000

 Intercepts
    U1#1               0.428      0.090      4.738      0.000
    U1                 0.000      0.000    999.000    999.000
    U2#1               0.428      0.090      4.738      0.000
    U2                 0.000      0.000    999.000    999.000
    U3#1               0.428      0.090      4.738      0.000
    U3                 0.000      0.000    999.000    999.000
    U4#1               0.428      0.090      4.738      0.000
    U4                 0.000      0.000    999.000    999.000

 Means
    I                  0.523      0.094      5.587      0.000
    S                 -0.025      0.045     -0.561      0.575
    II                 0.000      0.000    999.000    999.000
    SI                -0.419      0.053     -7.915      0.000

Latent Class 2

 I        |
    U1                 1.000      0.000    999.000    999.000
    U2                 1.000      0.000    999.000    999.000
    U3                 1.000      0.000    999.000    999.000
    U4                 1.000      0.000    999.000    999.000

 S        |
    U1                 0.000      0.000    999.000    999.000
    U2                 1.000      0.000    999.000    999.000
    U3                 2.000      0.000    999.000    999.000
    U4                 3.000      0.000    999.000    999.000

 II       |
    U1#1               1.000      0.000    999.000    999.000
    U2#1               1.000      0.000    999.000    999.000
    U3#1               1.000      0.000    999.000    999.000
    U4#1               1.000      0.000    999.000    999.000

 SI       |
    U1#1               0.000      0.000    999.000    999.000
    U2#1               1.000      0.000    999.000    999.000
    U3#1               2.000      0.000    999.000    999.000
    U4#1               3.000      0.000    999.000    999.000

 Intercepts
    U1#1               0.428      0.090      4.738      0.000
    U1                 0.000      0.000    999.000    999.000
    U2#1               0.428      0.090      4.738      0.000
    U2                 0.000      0.000    999.000    999.000
    U3#1               0.428      0.090      4.738      0.000
    U3                 0.000      0.000    999.000    999.000
    U4#1               0.428      0.090      4.738      0.000
    U4                 0.000      0.000    999.000    999.000

 Means
    I                  0.940      0.063     14.994      0.000
    S                  0.222      0.028      7.916      0.000
    II                 0.000      0.000    999.000    999.000
    SI                -0.419      0.053     -7.915      0.000

Categorical Latent Variables

 Means
    C#1                0.078      0.172      0.456      0.649


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.345E-02
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


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


     PARAMETER SPECIFICATION FOR THE CENSORED/NOMINAL/COUNT MODEL PART


           NU(P) FOR LATENT CLASS 1
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
                    2             0             2             0             2


           NU(P) FOR LATENT CLASS 1
              U3            U4#1          U4
              ________      ________      ________
                    0             2             0


           LAMBDA(P) FOR LATENT CLASS 1
              I             S             II            SI
              ________      ________      ________      ________
 U1#1               0             0             0             0
 U1                 0             0             0             0
 U2#1               0             0             0             0
 U2                 0             0             0             0
 U3#1               0             0             0             0
 U3                 0             0             0             0
 U4#1               0             0             0             0
 U4                 0             0             0             0


           ALPHA(P) FOR LATENT CLASS 1
              I             S             II            SI
              ________      ________      ________      ________
                    3             4             0             5


           NU(P) FOR LATENT CLASS 2
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
                    2             0             2             0             2


           NU(P) FOR LATENT CLASS 2
              U3            U4#1          U4
              ________      ________      ________
                    0             2             0


           LAMBDA(P) FOR LATENT CLASS 2
              I             S             II            SI
              ________      ________      ________      ________
 U1#1               0             0             0             0
 U1                 0             0             0             0
 U2#1               0             0             0             0
 U2                 0             0             0             0
 U3#1               0             0             0             0
 U3                 0             0             0             0
 U4#1               0             0             0             0
 U4                 0             0             0             0


           ALPHA(P) FOR LATENT CLASS 2
              I             S             II            SI
              ________      ________      ________      ________
                    6             7             0             5


     STARTING VALUES FOR LATENT CLASS 1


     STARTING VALUES FOR LATENT CLASS 2


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


     STARTING VALUES FOR THE CENSORED/NOMINAL/COUNT MODEL PART


           NU(P) FOR LATENT CLASS 1
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
               -0.634         0.000        -0.634         0.000        -0.634


           NU(P) FOR LATENT CLASS 1
              U3            U4#1          U4
              ________      ________      ________
                0.000        -0.634         0.000


           LAMBDA(P) FOR LATENT CLASS 1
              I             S             II            SI
              ________      ________      ________      ________
 U1#1           0.000         0.000         1.000         0.000
 U1             1.000         0.000         0.000         0.000
 U2#1           0.000         0.000         1.000         1.000
 U2             1.000         1.000         0.000         0.000
 U3#1           0.000         0.000         1.000         2.000
 U3             1.000         2.000         0.000         0.000
 U4#1           0.000         0.000         1.000         3.000
 U4             1.000         3.000         0.000         0.000


           ALPHA(P) FOR LATENT CLASS 1
              I             S             II            SI
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           NU(P) FOR LATENT CLASS 2
              U1#1          U1            U2#1          U2            U3#1
              ________      ________      ________      ________      ________
               -0.634         0.000        -0.634         0.000        -0.634


           NU(P) FOR LATENT CLASS 2
              U3            U4#1          U4
              ________      ________      ________
                0.000        -0.634         0.000


           LAMBDA(P) FOR LATENT CLASS 2
              I             S             II            SI
              ________      ________      ________      ________
 U1#1           0.000         0.000         1.000         0.000
 U1             1.000         0.000         0.000         0.000
 U2#1           0.000         0.000         1.000         1.000
 U2             1.000         1.000         0.000         0.000
 U3#1           0.000         0.000         1.000         2.000
 U3             1.000         2.000         0.000         0.000
 U4#1           0.000         0.000         1.000         3.000
 U4             1.000         3.000         0.000         0.000


           ALPHA(P) FOR LATENT CLASS 2
              I             S             II            SI
              ________      ________      ________      ________
                0.000         0.000         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 -0.41947330D+04    0.0000000    0.0000000  EM
              2 -0.31775113D+04 1017.2217185    0.2424998  EM
              3 -0.31775113D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.80109539D+04    0.0000000    0.0000000  EM
              2 -0.31610129D+04 4849.9410070    0.6054137  EM
              3 -0.31493860D+04   11.6269351    0.0036782  EM
              4 -0.31427570D+04    6.6289945    0.0021049  EM
              5 -0.31370505D+04    5.7065053    0.0018158  EM
              6 -0.31317544D+04    5.2960528    0.0016882  EM
              7 -0.31269134D+04    4.8410589    0.0015458  EM
              8 -0.31226491D+04    4.2642542    0.0013637  EM
              9 -0.31190406D+04    3.6084934    0.0011556  EM
             10 -0.31160991D+04    2.9415238    0.0009431  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.11527172D+05    0.0000000    0.0000000  EM
              2 -0.31779633D+04 8349.2083403    0.7243068  EM
              3 -0.31720877D+04    5.8756046    0.0018489  EM
              4 -0.31659890D+04    6.0987026    0.0019226  EM
              5 -0.31597133D+04    6.2756854    0.0019822  EM
              6 -0.31531756D+04    6.5376856    0.0020691  EM
              7 -0.31465144D+04    6.6611867    0.0021125  EM
              8 -0.31400701D+04    6.4443371    0.0020481  EM
              9 -0.31341221D+04    5.9479106    0.0018942  EM
             10 -0.31288161D+04    5.3060511    0.0016930  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.10501238D+05    0.0000000    0.0000000  EM
              2 -0.31583297D+04 7342.9082283    0.6992422  EM
              3 -0.31499092D+04    8.4204975    0.0026661  EM
              4 -0.31462970D+04    3.6121551    0.0011467  EM
              5 -0.31431201D+04    3.1769177    0.0010097  EM
              6 -0.31401394D+04    2.9807308    0.0009483  EM
              7 -0.31373249D+04    2.8144931    0.0008963  EM
              8 -0.31346552D+04    2.6696357    0.0008509  EM
              9 -0.31321094D+04    2.5458341    0.0008122  EM
             10 -0.31296691D+04    2.4403446    0.0007791  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.19419700D+05    0.0000000    0.0000000  EM
              2 -0.31784404D+04 ************    0.8363291  EM
              3 -0.31780499D+04    0.3904828    0.0001229  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.72852736D+05    0.0000000    0.0000000  EM
              2 -0.26379842D+05 ************    0.6379018  EM
              3 -0.21717159D+05 4662.6830155    0.1767517  EM
              4 -0.18206386D+05 3510.7723997    0.1616589  EM
              5 -0.49433862D+04 ************    0.7284806  EM
              6 -0.38825014D+04 1060.8848528    0.2146069  EM
              7 -0.37532726D+04  129.2287667    0.0332849  EM
              8 -0.37234485D+04   29.8240922    0.0079462  EM
              9 -0.36916663D+04   31.7822506    0.0085357  EM
             10 -0.36634284D+04   28.2378207    0.0076491  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.17779436D+05    0.0000000    0.0000000  EM
              2 -0.31857652D+04 ************    0.8208174  EM
              3 -0.31785119D+04    7.2532493    0.0022768  EM
              4 -0.31775829D+04    0.9289858    0.0002923  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.43270268D+04    0.0000000    0.0000000  EM
              2 -0.38806643D+04  446.3624921    0.1031569  EM
              3 -0.37556126D+04  125.0517710    0.0322243  EM
              4 -0.37309411D+04   24.6714647    0.0065692  EM
              5 -0.37100661D+04   20.8750306    0.0055951  EM
              6 -0.36920427D+04   18.0233808    0.0048580  EM
              7 -0.36764746D+04   15.5680631    0.0042167  EM
              8 -0.36632507D+04   13.2239465    0.0035969  EM
              9 -0.36523104D+04   10.9402928    0.0029865  EM
             10 -0.36435694D+04    8.7410120    0.0023933  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.65867772D+04    0.0000000    0.0000000  EM
              2 -0.31383263D+04 3448.4509234    0.5235415  EM
              3 -0.31288238D+04    9.5025099    0.0030279  EM
              4 -0.31237597D+04    5.0640663    0.0016185  EM
              5 -0.31197699D+04    3.9898591    0.0012773  EM
              6 -0.31165904D+04    3.1794774    0.0010191  EM
              7 -0.31141148D+04    2.4756099    0.0007943  EM
              8 -0.31122318D+04    1.8829677    0.0006047  EM
              9 -0.31108270D+04    1.4048642    0.0004514  EM
             10 -0.31097952D+04    1.0317467    0.0003317  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.64517996D+04    0.0000000    0.0000000  EM
              2 -0.42477185D+04 2204.0810949    0.3416227  EM
              3 -0.38883436D+04  359.3749106    0.0846042  EM
              4 -0.38687074D+04   19.6361389    0.0050500  EM
              5 -0.38686177D+04    0.0897351    0.0000232  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.72412654D+04    0.0000000    0.0000000  EM
              2 -0.31775113D+04 4063.7540605    0.5611939  EM
              3 -0.31775113D+04    0.0000003    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.23965473D+06    0.0000000    0.0000000  EM
              2 -0.22213485D+06 ************    0.0731047  EM
              3 -0.21767586D+06 4458.9875229    0.0200733  EM
              4 -0.15187450D+06 ************    0.3022906  EM
              5 -0.36317299D+04 ************    0.9760873  EM
              6 -0.36221397D+04    9.5902661    0.0026407  EM
              7 -0.36141880D+04    7.9516458    0.0021953  EM
              8 -0.36066665D+04    7.5214862    0.0020811  EM
              9 -0.35992255D+04    7.4410199    0.0020631  EM
             10 -0.35916099D+04    7.6156268    0.0021159  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.22992511D+05    0.0000000    0.0000000  EM
              2 -0.31775248D+04 ************    0.8618017  EM
              3 -0.31775128D+04    0.0120834    0.0000038  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.91417355D+04    0.0000000    0.0000000  EM
              2 -0.31583898D+04 5983.3457213    0.6545087  EM
              3 -0.31549520D+04    3.4377872    0.0010885  EM
              4 -0.31507874D+04    4.1645705    0.0013200  EM
              5 -0.31459518D+04    4.8356378    0.0015347  EM
              6 -0.31418791D+04    4.0726956    0.0012946  EM
              7 -0.31385694D+04    3.3097021    0.0010534  EM
              8 -0.31356760D+04    2.8933589    0.0009219  EM
              9 -0.31330203D+04    2.6557189    0.0008469  EM
             10 -0.31305185D+04    2.5017934    0.0007985  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.12147986D+05    0.0000000    0.0000000  EM
              2 -0.31871322D+04 8960.8534880    0.7376411  EM
              3 -0.31721732D+04   14.9590233    0.0046936  EM
              4 -0.31646439D+04    7.5293185    0.0023736  EM
              5 -0.31586150D+04    6.0288323    0.0019051  EM
              6 -0.31526794D+04    5.9356772    0.0018792  EM
              7 -0.31466466D+04    6.0327215    0.0019135  EM
              8 -0.31406867D+04    5.9599935    0.0018941  EM
              9 -0.31350051D+04    5.6815947    0.0018090  EM
             10 -0.31297694D+04    5.2356220    0.0016701  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.15762307D+05    0.0000000    0.0000000  EM
              2 -0.31572263D+04 ************    0.7996977  EM
              3 -0.31325555D+04   24.6708513    0.0078141  EM
              4 -0.31231990D+04    9.3564815    0.0029869  EM
              5 -0.31178513D+04    5.3477101    0.0017123  EM
              6 -0.31145566D+04    3.2947345    0.0010567  EM
              7 -0.31123857D+04    2.1708744    0.0006970  EM
              8 -0.31108854D+04    1.5002911    0.0004820  EM
              9 -0.31098225D+04    1.0629336    0.0003417  EM
             10 -0.31090632D+04    0.7592272    0.0002441  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.12992539D+05    0.0000000    0.0000000  EM
              2 -0.31776798D+04 9814.8588816    0.7554227  EM
              3 -0.31776369D+04    0.0429282    0.0000135  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.17818250D+05    0.0000000    0.0000000  EM
              2 -0.31515734D+04 ************    0.8231267  EM
              3 -0.31380521D+04   13.5212209    0.0042903  EM
              4 -0.31306361D+04    7.4160488    0.0023633  EM
              5 -0.31252196D+04    5.4165179    0.0017302  EM
              6 -0.31209677D+04    4.2518353    0.0013605  EM
              7 -0.31175867D+04    3.3810008    0.0010833  EM
              8 -0.31149262D+04    2.6605647    0.0008534  EM
              9 -0.31128707D+04    2.0554158    0.0006599  EM
             10 -0.31113143D+04    1.5564210    0.0005000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.10895705D+05    0.0000000    0.0000000  EM
              2 -0.31824323D+04 7713.2730227    0.7079187  EM
              3 -0.31797778D+04    2.6545377    0.0008341  EM
              4 -0.31786064D+04    1.1713317    0.0003684  EM
              5 -0.31780531D+04    0.5533794    0.0001741  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.29426485D+06    0.0000000    0.0000000  EM
              2 -0.31749193D+06 ************   -0.0789326  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.44115440D+04    0.0000000    0.0000000  EM
              2 -0.38206245D+04  590.9194767    0.1339484  EM
              3 -0.37732925D+04   47.3320377    0.0123886  EM
              4 -0.37356427D+04   37.6497600    0.0099780  EM
              5 -0.37082963D+04   27.3463696    0.0073204  EM
              6 -0.36863860D+04   21.9103584    0.0059085  EM
              7 -0.36682848D+04   18.1011395    0.0049103  EM
              8 -0.36532597D+04   15.0251287    0.0040960  EM
              9 -0.36409417D+04   12.3179747    0.0033718  EM
             10 -0.36310375D+04    9.9042204    0.0027202  EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15


             10 -0.31090632D+04    0.7592272    0.0002441  EM
             11 -0.31085213D+04    0.5419366    0.0001743  EM
             12 -0.31081360D+04    0.3853220    0.0001240  EM
             13 -0.31078632D+04    0.2727964    0.0000878  EM
             14 -0.31076707D+04    0.1924549    0.0000619  EM
             15 -0.31075353D+04    0.1354385    0.0000436  EM
             16 -0.31074401D+04    0.0951650    0.0000306  EM
             17 -0.31073733D+04    0.0668098    0.0000215  EM
             18 -0.31073264D+04    0.0468862    0.0000151  EM
             19 -0.31072935D+04    0.0329030    0.0000106  EM
             20 -0.31072704D+04    0.0230938    0.0000074  EM
             21 -0.31072542D+04    0.0162135    0.0000052  EM
             22 -0.31072428D+04    0.0113868    0.0000037  EM
             23 -0.31072348D+04    0.0079997    0.0000026  EM
             24 -0.31072292D+04    0.0056221    0.0000018  EM
             25 -0.31072252D+04    0.0039524    0.0000013  EM
             26 -0.31072225D+04    0.0027794    0.0000009  EM
             27 -0.31072205D+04    0.0019550    0.0000006  EM
             28 -0.31072191D+04    0.0013755    0.0000004  EM
             29 -0.31072182D+04    0.0009679    0.0000003  EM
             30 -0.31072175D+04    0.0006813    0.0000002  EM
             31 -0.31072170D+04    0.0004796    0.0000002  EM
             32 -0.31072167D+04    0.0003376    0.0000001  EM
             33 -0.31072164D+04    0.0002377    0.0000001  EM
             34 -0.31072163D+04    0.0001674    0.0000001  EM
             35 -0.31072161D+04    0.0001179    0.0000000  EM
             36 -0.31072159D+04    0.0002725    0.0000001  FS
             37 -0.31072159D+04    0.0000078    0.0000000  FS
             38 -0.31072159D+04    0.0000005    0.0000000  FS
             39 -0.31072159D+04    0.0000000    0.0000000  FS
             40 -0.31072159D+04    0.0000000    0.0000000  EM
             41 -0.31072159D+04    0.0000000    0.0000000  EM
             42 -0.31072159D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


             10 -0.31097952D+04    1.0317467    0.0003317  EM
             11 -0.31090472D+04    0.7480109    0.0002405  EM
             12 -0.31085104D+04    0.5367729    0.0001726  EM
             13 -0.31081282D+04    0.3822004    0.0001230  EM
             14 -0.31078576D+04    0.2706124    0.0000871  EM
             15 -0.31076667D+04    0.1908661    0.0000614  EM
             16 -0.31075325D+04    0.1342851    0.0000432  EM
             17 -0.31074381D+04    0.0943365    0.0000304  EM
             18 -0.31073719D+04    0.0662203    0.0000213  EM
             19 -0.31073254D+04    0.0464695    0.0000150  EM
             20 -0.31072928D+04    0.0326094    0.0000105  EM
             21 -0.31072699D+04    0.0228875    0.0000074  EM
             22 -0.31072539D+04    0.0160686    0.0000052  EM
             23 -0.31072426D+04    0.0112850    0.0000036  EM
             24 -0.31072347D+04    0.0079283    0.0000026  EM
             25 -0.31072291D+04    0.0055719    0.0000018  EM
             26 -0.31072252D+04    0.0039172    0.0000013  EM
             27 -0.31072224D+04    0.0027546    0.0000009  EM
             28 -0.31072205D+04    0.0019376    0.0000006  EM
             29 -0.31072191D+04    0.0013633    0.0000004  EM
             30 -0.31072181D+04    0.0009593    0.0000003  EM
             31 -0.31072175D+04    0.0006752    0.0000002  EM
             32 -0.31072170D+04    0.0004753    0.0000002  EM
             33 -0.31072167D+04    0.0003346    0.0000001  EM
             34 -0.31072164D+04    0.0002356    0.0000001  EM
             35 -0.31072159D+04    0.0005443    0.0000002  FS
             36 -0.31072159D+04    0.0000158    0.0000000  FS
             37 -0.31072159D+04    0.0000010    0.0000000  FS
             38 -0.31072159D+04    0.0000001    0.0000000  FS
             39 -0.31072159D+04    0.0000000    0.0000000  EM
             40 -0.31072159D+04    0.0000000    0.0000000  EM
             41 -0.31072159D+04    0.0000000    0.0000000  EM
             42 -0.31072159D+04    0.0000000    0.0000000  EM
             43 -0.31072159D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17


             10 -0.31113143D+04    1.5564210    0.0005000  EM
             11 -0.31101576D+04    1.1567345    0.0003718  EM
             12 -0.31093116D+04    0.8460419    0.0002720  EM
             13 -0.31087006D+04    0.6109087    0.0001965  EM
             14 -0.31082638D+04    0.4368420    0.0001405  EM
             15 -0.31079536D+04    0.3101744    0.0000998  EM
             16 -0.31077345D+04    0.2191650    0.0000705  EM
             17 -0.31075801D+04    0.1543652    0.0000497  EM
             18 -0.31074716D+04    0.1085112    0.0000349  EM
             19 -0.31073954D+04    0.0761945    0.0000245  EM
             20 -0.31073419D+04    0.0534751    0.0000172  EM
             21 -0.31073044D+04    0.0375253    0.0000121  EM
             22 -0.31072781D+04    0.0263357    0.0000085  EM
             23 -0.31072596D+04    0.0184873    0.0000059  EM
             24 -0.31072466D+04    0.0129820    0.0000042  EM
             25 -0.31072375D+04    0.0091192    0.0000029  EM
             26 -0.31072311D+04    0.0064081    0.0000021  EM
             27 -0.31072266D+04    0.0045044    0.0000014  EM
             28 -0.31072234D+04    0.0031672    0.0000010  EM
             29 -0.31072212D+04    0.0022276    0.0000007  EM
             30 -0.31072196D+04    0.0015672    0.0000005  EM
             31 -0.31072185D+04    0.0011027    0.0000004  EM
             32 -0.31072177D+04    0.0007761    0.0000002  EM
             33 -0.31072172D+04    0.0005463    0.0000002  EM
             34 -0.31072168D+04    0.0003846    0.0000001  EM
             35 -0.31072159D+04    0.0008878    0.0000003  FS
             36 -0.31072159D+04    0.0000260    0.0000000  FS
             37 -0.31072159D+04    0.0000017    0.0000000  FS
             38 -0.31072159D+04    0.0000001    0.0000000  FS
             39 -0.31072159D+04    0.0000000    0.0000000  FS
             40 -0.31072159D+04    0.0000000    0.0000000  EM
             41 -0.31072159D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


             10 -0.31160991D+04    2.9415238    0.0009431  EM
             11 -0.31137784D+04    2.3207315    0.0007448  EM
             12 -0.31119973D+04    1.7810759    0.0005720  EM
             13 -0.31106613D+04    1.3360267    0.0004293  EM
             14 -0.31096774D+04    0.9838090    0.0003163  EM
             15 -0.31089635D+04    0.7139670    0.0002296  EM
             16 -0.31084511D+04    0.5124251    0.0001648  EM
             17 -0.31080863D+04    0.3648017    0.0001174  EM
             18 -0.31078280D+04    0.2582297    0.0000831  EM
             19 -0.31076459D+04    0.1820931    0.0000586  EM
             20 -0.31075178D+04    0.1280932    0.0000412  EM
             21 -0.31074279D+04    0.0899786    0.0000290  EM
             22 -0.31073647D+04    0.0631587    0.0000203  EM
             23 -0.31073204D+04    0.0443210    0.0000143  EM
             24 -0.31072893D+04    0.0311024    0.0000100  EM
             25 -0.31072674D+04    0.0218306    0.0000070  EM
             26 -0.31072521D+04    0.0153273    0.0000049  EM
             27 -0.31072414D+04    0.0107649    0.0000035  EM
             28 -0.31072338D+04    0.0075632    0.0000024  EM
             29 -0.31072285D+04    0.0053156    0.0000017  EM
             30 -0.31072247D+04    0.0037371    0.0000012  EM
             31 -0.31072221D+04    0.0026281    0.0000008  EM
             32 -0.31072203D+04    0.0018487    0.0000006  EM
             33 -0.31072190D+04    0.0013007    0.0000004  EM
             34 -0.31072180D+04    0.0009154    0.0000003  EM
             35 -0.31072159D+04    0.0021099    0.0000007  FS
             36 -0.31072159D+04    0.0000632    0.0000000  FS
             37 -0.31072159D+04    0.0000040    0.0000000  FS
             38 -0.31072159D+04    0.0000003    0.0000000  FS
             39 -0.31072159D+04    0.0000000    0.0000000  FS
             40 -0.31072159D+04    0.0000000    0.0000000  EM
             41 -0.31072159D+04    0.0000000    0.0000000  EM


     Beginning Time:  23:13:27
        Ending Time:  23:13:27
       Elapsed Time:  00:00:00



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