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

INPUT INSTRUCTIONS

  TITLE:	this is an example of a LCGA for a three-
  	category outcome
  DATA:	FILE IS ex8.10.dat;
  VARIABLE:	NAMES ARE u1-u4 c;
  	USEV = u1-u4;
  	CLASSES = c(2);
  	CATEGORICAL = u1-u4;
  ANALYSIS:	TYPE = MIXTURE;
  MODEL:	
  	%OVERALL%
  	i s | u1@0 u2@1 u3@2 u4@3;
  !	[u1$1-u4$1*-.5] (1);
  !	[u1$2-u4$2* .5] (2);
  !	%c#1%
  ! 	[i*1 s*0];
  !	%c#2%
  !	[i@0 s*0];
  OUTPUT:	TECH1 TECH8;



INPUT READING TERMINATED NORMALLY



this is an example of a LCGA for a three-
category outcome

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                            2
Number of categorical latent variables                           1

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4

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
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)
  ex8.10.dat
Input data format  FREE


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1
      Category 1    0.602          301.000
      Category 2    0.114           57.000
      Category 3    0.284          142.000
    U2
      Category 1    0.482          241.000
      Category 2    0.114           57.000
      Category 3    0.404          202.000
    U3
      Category 1    0.430          215.000
      Category 2    0.070           35.000
      Category 3    0.500          250.000
    U4
      Category 1    0.410          205.000
      Category 2    0.058           29.000
      Category 3    0.532          266.000


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:

           -1706.048  285380           1
           -1706.048  253358           2
           -1706.048  462953           7
           -1706.048  637345           19



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                        6

Loglikelihood

          H0 Value                       -1706.048
          H0 Scaling Correction Factor      0.9907
            for MLR

Information Criteria

          Akaike (AIC)                    3424.096
          Bayesian (BIC)                  3449.384
          Sample-Size Adjusted BIC        3430.339
            (n* = (n + 2) / 24)

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

          Pearson Chi-Square

          Value                             69.894
          Degrees of Freedom                    74
          P-Value                           0.6137

          Likelihood Ratio Chi-Square

          Value                             74.075
          Degrees of Freedom                    74
          P-Value                           0.4757



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

    Latent
   Classes

       1        240.72033          0.48144
       2        259.27967          0.51856


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

    Latent
   Classes

       1        240.72033          0.48144
       2        259.27967          0.51856


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

Class Counts and Proportions

    Latent
   Classes

       1              244          0.48800
       2              256          0.51200


CLASSIFICATION QUALITY

     Entropy                         0.705


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

           1        2

    1   0.913    0.087
    2   0.070    0.930


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

           1        2

    1   0.925    0.075
    2   0.082    0.918


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

              1        2

    1      2.516    0.000
    2     -2.415    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

 Means
    I                  0.717      0.179      4.000      0.000
    S                  1.070      0.114      9.383      0.000

 Thresholds
    U1$1               0.746      0.118      6.322      0.000
    U1$2               1.276      0.118     10.779      0.000
    U2$1               0.746      0.118      6.322      0.000
    U2$2               1.276      0.118     10.779      0.000
    U3$1               0.746      0.118      6.322      0.000
    U3$2               1.276      0.118     10.779      0.000
    U4$1               0.746      0.118      6.322      0.000
    U4$2               1.276      0.118     10.779      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

 Means
    I                  0.000      0.000    999.000    999.000
    S                 -0.117      0.077     -1.523      0.128

 Thresholds
    U1$1               0.746      0.118      6.322      0.000
    U1$2               1.276      0.118     10.779      0.000
    U2$1               0.746      0.118      6.322      0.000
    U2$2               1.276      0.118     10.779      0.000
    U3$1               0.746      0.118      6.322      0.000
    U3$2               1.276      0.118     10.779      0.000
    U4$1               0.746      0.118      6.322      0.000
    U4$2               1.276      0.118     10.779      0.000

Categorical Latent Variables

 Means
    C#1               -0.074      0.137     -0.540      0.589


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.118E-01
       (ratio of smallest to largest eigenvalue)


RESULTS IN PROBABILITY SCALE

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

Latent Class 1

 U1
    Category 1         0.507      0.031     16.532      0.000
    Category 2         0.129      0.009     13.894      0.000
    Category 3         0.364      0.028     12.861      0.000
 U2
    Category 1         0.261      0.023     11.507      0.000
    Category 2         0.114      0.009     12.457      0.000
    Category 3         0.625      0.027     22.921      0.000
 U3
    Category 1         0.108      0.019      5.708      0.000
    Category 2         0.063      0.010      6.437      0.000
    Category 3         0.829      0.028     29.994      0.000
 U4
    Category 1         0.040      0.011      3.485      0.000
    Category 2         0.026      0.007      3.654      0.000
    Category 3         0.934      0.018     50.874      0.000

Latent Class 2

 U1
    Category 1         0.678      0.026     26.343      0.000
    Category 2         0.103      0.009     11.385      0.000
    Category 3         0.218      0.020     10.803      0.000
 U2
    Category 1         0.703      0.019     36.510      0.000
    Category 2         0.098      0.008     12.565      0.000
    Category 3         0.199      0.015     12.909      0.000
 U3
    Category 1         0.727      0.024     29.914      0.000
    Category 2         0.092      0.008     11.206      0.000
    Category 3         0.181      0.019      9.481      0.000
 U4
    Category 1         0.750      0.034     21.877      0.000
    Category 2         0.086      0.010      8.395      0.000
    Category 3         0.164      0.026      6.330      0.000


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

 U1
    Category > 1       2.049      0.367      1.442      2.911
    Category > 2       2.049      0.367      1.442      2.911
 U2
    Category > 1       6.715      0.816      5.292      8.520
    Category > 2       6.715      0.816      5.292      8.520
 U3
    Category > 1      22.007      3.658     15.888     30.481
    Category > 2      22.007      3.658     15.888     30.481
 U4
    Category > 1      72.126     19.180     42.828    121.465
    Category > 2      72.126     19.180     42.828    121.465


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U1$1          U1$2          U2$1          U2$2          U3$1
              ________      ________      ________      ________      ________
                    1             2             1             2             1


           TAU(U) FOR LATENT CLASS 1
              U3$2          U4$1          U4$2
              ________      ________      ________
                    2             1             2


           TAU(U) FOR LATENT CLASS 2
              U1$1          U1$2          U2$1          U2$2          U3$1
              ________      ________      ________      ________      ________
                    1             2             1             2             1


           TAU(U) FOR LATENT CLASS 2
              U3$2          U4$1          U4$2
              ________      ________      ________
                    2             1             2


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
                    6             0


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR GROWTH MODEL PART


           LAMBDA(F) FOR LATENT CLASS 1
              I             S
              ________      ________
 U1                 0             0
 U2                 0             0
 U3                 0             0
 U4                 0             0


           ALPHA(F) FOR LATENT CLASS 1
              I             S
              ________      ________
                    3             4


           LAMBDA(F) FOR LATENT CLASS 2
              I             S
              ________      ________
 U1                 0             0
 U2                 0             0
 U3                 0             0
 U4                 0             0


           ALPHA(F) FOR LATENT CLASS 2
              I             S
              ________      ________
                    0             5


     STARTING VALUES FOR LATENT CLASS 1


     STARTING VALUES FOR LATENT CLASS 2


     STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U1$1          U1$2          U2$1          U2$2          U3$1
              ________      ________      ________      ________      ________
               -0.076         0.296        -0.076         0.296        -0.076


           TAU(U) FOR LATENT CLASS 1
              U3$2          U4$1          U4$2
              ________      ________      ________
                0.296        -0.076         0.296


           TAU(U) FOR LATENT CLASS 2
              U1$1          U1$2          U2$1          U2$2          U3$1
              ________      ________      ________      ________      ________
               -0.076         0.296        -0.076         0.296        -0.076


           TAU(U) FOR LATENT CLASS 2
              U3$2          U4$1          U4$2
              ________      ________      ________
                0.296        -0.076         0.296


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


     STARTING VALUES FOR LATENT CLASS INDICATOR GROWTH MODEL PART


           LAMBDA(F) FOR CLASS LATENT CLASS 1
              I             S
              ________      ________
 U1             1.000         0.000
 U2             1.000         1.000
 U3             1.000         2.000
 U4             1.000         3.000


           ALPHA(F) FOR LATENT CLASS 1
              I             S
              ________      ________
                0.000         0.000


           LAMBDA(F) FOR CLASS LATENT CLASS 2
              I             S
              ________      ________
 U1             1.000         0.000
 U2             1.000         1.000
 U3             1.000         2.000
 U4             1.000         3.000


           ALPHA(F) FOR LATENT CLASS 2
              I             S
              ________      ________
                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 -0.18606604D+04    0.0000000    0.0000000  EM
              2 -0.18309810D+04   29.6793556    0.0159510  EM
              3 -0.18309759D+04    0.0051130    0.0000028  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.26664050D+04    0.0000000    0.0000000  EM
              2 -0.19127747D+04  753.6302620    0.2826391  EM
              3 -0.17243963D+04  188.3784414    0.0984844  EM
              4 -0.17095281D+04   14.8681579    0.0086222  EM
              5 -0.17069464D+04    2.5817506    0.0015102  EM
              6 -0.17065074D+04    0.4389675    0.0002572  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.77177122D+04    0.0000000    0.0000000  EM
              2 -0.18262588D+04 5891.4534656    0.7633679  EM
              3 -0.17638927D+04   62.3660350    0.0341496  EM
              4 -0.17216828D+04   42.2099417    0.0239300  EM
              5 -0.17086978D+04   12.9850201    0.0075421  EM
              6 -0.17067915D+04    1.9062648    0.0011156  EM
              7 -0.17064767D+04    0.3147921    0.0001844  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.30692158D+04    0.0000000    0.0000000  EM
              2 -0.17167225D+04 1352.4933046    0.4406641  EM
              3 -0.17106726D+04    6.0498734    0.0035241  EM
              4 -0.17091163D+04    1.5562789    0.0009097  EM
              5 -0.17081597D+04    0.9566477    0.0005597  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.22238902D+04    0.0000000    0.0000000  EM
              2 -0.17165055D+04  507.3846560    0.2281518  EM
              3 -0.17113332D+04    5.1723196    0.0030133  EM
              4 -0.17097241D+04    1.6090992    0.0009403  EM
              5 -0.17086275D+04    1.0965625    0.0006414  EM
              6 -0.17078457D+04    0.7817991    0.0004576  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.26452699D+04    0.0000000    0.0000000  EM
              2 -0.18891915D+04  756.0784114    0.2858228  EM
              3 -0.17565852D+04  132.6062947    0.0701921  EM
              4 -0.17307795D+04   25.8056589    0.0146908  EM
              5 -0.17211157D+04    9.6638009    0.0055835  EM
              6 -0.17170203D+04    4.0954097    0.0023795  EM
              7 -0.17141678D+04    2.8525122    0.0016613  EM
              8 -0.17119714D+04    2.1964100    0.0012813  EM
              9 -0.17103016D+04    1.6698077    0.0009754  EM
             10 -0.17090604D+04    1.2411717    0.0007257  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.99114563D+04    0.0000000    0.0000000  EM
              2 -0.17973727D+04 8114.0835596    0.8186570  EM
              3 -0.17740273D+04   23.3454510    0.0129887  EM
              4 -0.17545082D+04   19.5190555    0.0110027  EM
              5 -0.17440560D+04   10.4522219    0.0059574  EM
              6 -0.17369935D+04    7.0625204    0.0040495  EM
              7 -0.17307269D+04    6.2665736    0.0036077  EM
              8 -0.17253348D+04    5.3921269    0.0031155  EM
              9 -0.17208669D+04    4.4678456    0.0025896  EM
             10 -0.17172506D+04    3.6163946    0.0021015  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.36400198D+04    0.0000000    0.0000000  EM
              2 -0.17131333D+04 1926.8865145    0.5293616  EM
              3 -0.17093316D+04    3.8017075    0.0022192  EM
              4 -0.17082407D+04    1.0908340    0.0006382  EM
              5 -0.17075501D+04    0.6906301    0.0004043  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.37686672D+04    0.0000000    0.0000000  EM
              2 -0.17123853D+04 2056.2818822    0.5456258  EM
              3 -0.17096174D+04    2.7678882    0.0016164  EM
              4 -0.17085025D+04    1.1149176    0.0006521  EM
              5 -0.17077544D+04    0.7480930    0.0004379  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.32766772D+04    0.0000000    0.0000000  EM
              2 -0.17304559D+04 1546.2213019    0.4718870  EM
              3 -0.17223833D+04    8.0725938    0.0046650  EM
              4 -0.17183715D+04    4.0117425    0.0023292  EM
              5 -0.17151835D+04    3.1880169    0.0018553  EM
              6 -0.17126802D+04    2.5032813    0.0014595  EM
              7 -0.17107754D+04    1.9048405    0.0011122  EM
              8 -0.17093683D+04    1.4071149    0.0008225  EM
              9 -0.17083539D+04    1.0143526    0.0005934  EM
             10 -0.17076364D+04    0.7175503    0.0004200  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.41599611D+04    0.0000000    0.0000000  EM
              2 -0.17603706D+04 2399.5905075    0.5768300  EM
              3 -0.17539589D+04    6.4116910    0.0036422  EM
              4 -0.17478562D+04    6.1027862    0.0034794  EM
              5 -0.17417572D+04    6.0989287    0.0034894  EM
              6 -0.17358606D+04    5.8966589    0.0033855  EM
              7 -0.17303416D+04    5.5189463    0.0031794  EM
              8 -0.17253471D+04    4.9944961    0.0028864  EM
              9 -0.17209864D+04    4.3607604    0.0025275  EM
             10 -0.17173203D+04    3.6660777    0.0021302  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.37030397D+04    0.0000000    0.0000000  EM
              2 -0.17165622D+04 1986.4774922    0.5364451  EM
              3 -0.17100957D+04    6.4665036    0.0037671  EM
              4 -0.17087046D+04    1.3911320    0.0008135  EM
              5 -0.17078816D+04    0.8230157    0.0004817  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.70414208D+04    0.0000000    0.0000000  EM
              2 -0.18285256D+04 5212.8951713    0.7403187  EM
              3 -0.18221563D+04    6.3693272    0.0034833  EM
              4 -0.18044416D+04   17.7146467    0.0097218  EM
              5 -0.17702741D+04   34.1675531    0.0189352  EM
              6 -0.17358301D+04   34.4440369    0.0194569  EM
              7 -0.17185068D+04   17.3233021    0.0099798  EM
              8 -0.17126120D+04    5.8947589    0.0034302  EM
              9 -0.17103104D+04    2.3015764    0.0013439  EM
             10 -0.17089791D+04    1.3313019    0.0007784  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.37319049D+04    0.0000000    0.0000000  EM
              2 -0.17450635D+04 1986.8414486    0.5323934  EM
              3 -0.17368373D+04    8.2261383    0.0047139  EM
              4 -0.17312232D+04    5.6140911    0.0032324  EM
              5 -0.17261312D+04    5.0920003    0.0029413  EM
              6 -0.17216600D+04    4.4712125    0.0025903  EM
              7 -0.17178773D+04    3.7826903    0.0021971  EM
              8 -0.17147979D+04    3.0794250    0.0017926  EM
              9 -0.17123832D+04    2.4147459    0.0014082  EM
             10 -0.17105533D+04    1.8298680    0.0010686  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.79221117D+04    0.0000000    0.0000000  EM
              2 -0.17225545D+04 6199.5571956    0.7825637  EM
              3 -0.17144840D+04    8.0704440    0.0046852  EM
              4 -0.17119847D+04    2.4993465    0.0014578  EM
              5 -0.17102852D+04    1.6994592    0.0009927  EM
              6 -0.17090452D+04    1.2400026    0.0007250  EM
              7 -0.17081461D+04    0.8990940    0.0005261  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.31302569D+04    0.0000000    0.0000000  EM
              2 -0.17252777D+04 1404.9791900    0.4488383  EM
              3 -0.17179103D+04    7.3674465    0.0042703  EM
              4 -0.17146334D+04    3.2768317    0.0019075  EM
              5 -0.17122336D+04    2.3998279    0.0013996  EM
              6 -0.17104386D+04    1.7949787    0.0010483  EM
              7 -0.17091229D+04    1.3157009    0.0007692  EM
              8 -0.17081792D+04    0.9437444    0.0005522  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.44643914D+04    0.0000000    0.0000000  EM
              2 -0.17756185D+04 2688.7729591    0.6022709  EM
              3 -0.17581831D+04   17.4353429    0.0098193  EM
              4 -0.17483269D+04    9.8562179    0.0056059  EM
              5 -0.17413756D+04    6.9513189    0.0039760  EM
              6 -0.17347204D+04    6.6551783    0.0038218  EM
              7 -0.17287379D+04    5.9825170    0.0034487  EM
              8 -0.17236709D+04    5.0669937    0.0029310  EM
              9 -0.17195117D+04    4.1592024    0.0024130  EM
             10 -0.17161673D+04    3.3444245    0.0019450  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.43521459D+04    0.0000000    0.0000000  EM
              2 -0.17240750D+04 2628.0708826    0.6038563  EM
              3 -0.17173391D+04    6.7358708    0.0039069  EM
              4 -0.17143116D+04    3.0274988    0.0017629  EM
              5 -0.17120063D+04    2.3053468    0.0013448  EM
              6 -0.17102731D+04    1.7331843    0.0010124  EM
              7 -0.17090037D+04    1.2693376    0.0007422  EM
              8 -0.17080947D+04    0.9089964    0.0005319  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.24765555D+04    0.0000000    0.0000000  EM
              2 -0.19411367D+04  535.4187987    0.2161949  EM
              3 -0.17957747D+04  145.3620205    0.0748850  EM
              4 -0.17637918D+04   31.9829120    0.0178101  EM
              5 -0.17538559D+04    9.9359338    0.0056333  EM
              6 -0.17485528D+04    5.3030237    0.0030236  EM
              7 -0.17424375D+04    6.1153386    0.0034974  EM
              8 -0.17356858D+04    6.7517377    0.0038749  EM
              9 -0.17295709D+04    6.1148743    0.0035230  EM
             10 -0.17243655D+04    5.2054284    0.0030097  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.41850351D+04    0.0000000    0.0000000  EM
              2 -0.17085560D+04 2476.4790686    0.5917463  EM
              3 -0.17061316D+04    2.4243920    0.0014190  EM
              4 -0.17060539D+04    0.0777068    0.0000455  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.54574827D+04    0.0000000    0.0000000  EM
              2 -0.17598187D+04 3697.6640063    0.6775402  EM
              3 -0.17510435D+04    8.7751526    0.0049864  EM
              4 -0.17445177D+04    6.5258731    0.0037268  EM
              5 -0.17384360D+04    6.0816467    0.0034861  EM
              6 -0.17327187D+04    5.7173112    0.0032888  EM
              7 -0.17274753D+04    5.2433720    0.0030261  EM
              8 -0.17228244D+04    4.6509560    0.0026923  EM
              9 -0.17188481D+04    3.9762996    0.0023080  EM
             10 -0.17155767D+04    3.2714153    0.0019033  EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


              4 -0.17060539D+04    0.0777068    0.0000455  EM
              5 -0.17060486D+04    0.0053614    0.0000031  EM
              6 -0.17060481D+04    0.0004423    0.0000003  EM
              7 -0.17060481D+04    0.0000469    0.0000000  EM
              8 -0.17060481D+04    0.0000106    0.0000000  EM
              9 -0.17060480D+04    0.0000053    0.0000000  EM
             10 -0.17060480D+04    0.0000034    0.0000000  EM
             11 -0.17060480D+04    0.0000023    0.0000000  EM
             12 -0.17060480D+04    0.0000016    0.0000000  EM
             13 -0.17060480D+04    0.0000011    0.0000000  EM
             14 -0.17060480D+04    0.0000007    0.0000000  EM
             15 -0.17060480D+04    0.0000005    0.0000000  EM
             16 -0.17060480D+04    0.0000003    0.0000000  EM
             17 -0.17060480D+04    0.0000002    0.0000000  EM
             18 -0.17060480D+04    0.0000002    0.0000000  EM
             19 -0.17060480D+04    0.0000001    0.0000000  EM
             20 -0.17060480D+04    0.0000001    0.0000000  EM
             21 -0.17060480D+04    0.0000000    0.0000000  EM
             22 -0.17060480D+04    0.0000000    0.0000000  EM
             23 -0.17060480D+04    0.0000000    0.0000000  EM
             24 -0.17060480D+04    0.0000000    0.0000000  EM
             25 -0.17060480D+04    0.0000000    0.0000000  EM
             26 -0.17060480D+04    0.0000000    0.0000000  EM
             27 -0.17060480D+04    0.0000000    0.0000000  EM
             28 -0.17060480D+04    0.0000000    0.0000000  EM
             29 -0.17060480D+04    0.0000000    0.0000000  EM
             30 -0.17060480D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


              7 -0.17064767D+04    0.3147921    0.0001844  EM
              8 -0.17063354D+04    0.1413123    0.0000828  EM
              9 -0.17062433D+04    0.0921142    0.0000540  EM
             10 -0.17061807D+04    0.0625467    0.0000367  EM
             11 -0.17061382D+04    0.0425709    0.0000250  EM
             12 -0.17061092D+04    0.0289500    0.0000170  EM
             13 -0.17060895D+04    0.0196694    0.0000115  EM
             14 -0.17060762D+04    0.0133546    0.0000078  EM
             15 -0.17060671D+04    0.0090625    0.0000053  EM
             16 -0.17060610D+04    0.0061475    0.0000036  EM
             17 -0.17060568D+04    0.0041690    0.0000024  EM
             18 -0.17060540D+04    0.0028266    0.0000017  EM
             19 -0.17060521D+04    0.0019161    0.0000011  EM
             20 -0.17060508D+04    0.0012988    0.0000008  EM
             21 -0.17060499D+04    0.0008803    0.0000005  EM
             22 -0.17060493D+04    0.0005966    0.0000003  EM
             23 -0.17060489D+04    0.0004043    0.0000002  EM
             24 -0.17060486D+04    0.0002739    0.0000002  EM
             25 -0.17060484D+04    0.0001856    0.0000001  EM
             26 -0.17060483D+04    0.0001258    0.0000001  EM
             27 -0.17060482D+04    0.0000852    0.0000000  EM
             28 -0.17060482D+04    0.0000577    0.0000000  EM
             29 -0.17060481D+04    0.0000391    0.0000000  EM
             30 -0.17060481D+04    0.0000265    0.0000000  EM
             31 -0.17060481D+04    0.0000180    0.0000000  EM
             32 -0.17060481D+04    0.0000122    0.0000000  EM
             33 -0.17060481D+04    0.0000082    0.0000000  EM
             34 -0.17060480D+04    0.0000056    0.0000000  EM
             35 -0.17060480D+04    0.0000038    0.0000000  EM
             36 -0.17060480D+04    0.0000026    0.0000000  EM
             37 -0.17060480D+04    0.0000017    0.0000000  EM
             38 -0.17060480D+04    0.0000012    0.0000000  EM
             39 -0.17060480D+04    0.0000025    0.0000000  FS
             40 -0.17060480D+04    0.0000000    0.0000000  FS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


              6 -0.17065074D+04    0.4389675    0.0002572  EM
              7 -0.17063462D+04    0.1611579    0.0000944  EM
              8 -0.17062491D+04    0.0971915    0.0000570  EM
              9 -0.17061842D+04    0.0648884    0.0000380  EM
             10 -0.17061403D+04    0.0439082    0.0000257  EM
             11 -0.17061105D+04    0.0297509    0.0000174  EM
             12 -0.17060903D+04    0.0201563    0.0000118  EM
             13 -0.17060767D+04    0.0136535    0.0000080  EM
             14 -0.17060674D+04    0.0092476    0.0000054  EM
             15 -0.17060612D+04    0.0062632    0.0000037  EM
             16 -0.17060569D+04    0.0042419    0.0000025  EM
             17 -0.17060541D+04    0.0028730    0.0000017  EM
             18 -0.17060521D+04    0.0019459    0.0000011  EM
             19 -0.17060508D+04    0.0013180    0.0000008  EM
             20 -0.17060499D+04    0.0008927    0.0000005  EM
             21 -0.17060493D+04    0.0006047    0.0000004  EM
             22 -0.17060489D+04    0.0004096    0.0000002  EM
             23 -0.17060486D+04    0.0002775    0.0000002  EM
             24 -0.17060484D+04    0.0001880    0.0000001  EM
             25 -0.17060483D+04    0.0001273    0.0000001  EM
             26 -0.17060482D+04    0.0000863    0.0000001  EM
             27 -0.17060482D+04    0.0000584    0.0000000  EM
             28 -0.17060481D+04    0.0000396    0.0000000  EM
             29 -0.17060481D+04    0.0000268    0.0000000  EM
             30 -0.17060481D+04    0.0000182    0.0000000  EM
             31 -0.17060481D+04    0.0000123    0.0000000  EM
             32 -0.17060481D+04    0.0000083    0.0000000  EM
             33 -0.17060480D+04    0.0000057    0.0000000  EM
             34 -0.17060480D+04    0.0000038    0.0000000  EM
             35 -0.17060480D+04    0.0000026    0.0000000  EM
             36 -0.17060480D+04    0.0000018    0.0000000  EM
             37 -0.17060480D+04    0.0000012    0.0000000  EM
             38 -0.17060480D+04    0.0000008    0.0000000  EM
             39 -0.17060480D+04    0.0000017    0.0000000  FS
             40 -0.17060480D+04    0.0000000    0.0000000  FS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


              5 -0.17075501D+04    0.6906301    0.0004043  EM
              6 -0.17070755D+04    0.4745622    0.0002779  EM
              7 -0.17067486D+04    0.3269447    0.0001915  EM
              8 -0.17065245D+04    0.2240938    0.0001313  EM
              9 -0.17063715D+04    0.1529421    0.0000896  EM
             10 -0.17062675D+04    0.1040784    0.0000610  EM
             11 -0.17061968D+04    0.0706924    0.0000414  EM
             12 -0.17061488D+04    0.0479580    0.0000281  EM
             13 -0.17061163D+04    0.0325107    0.0000191  EM
             14 -0.17060943D+04    0.0220290    0.0000129  EM
             15 -0.17060794D+04    0.0149228    0.0000087  EM
             16 -0.17060693D+04    0.0101076    0.0000059  EM
             17 -0.17060624D+04    0.0068457    0.0000040  EM
             18 -0.17060578D+04    0.0046364    0.0000027  EM
             19 -0.17060546D+04    0.0031402    0.0000018  EM
             20 -0.17060525D+04    0.0021268    0.0000012  EM
             21 -0.17060511D+04    0.0014405    0.0000008  EM
             22 -0.17060501D+04    0.0009757    0.0000006  EM
             23 -0.17060494D+04    0.0006609    0.0000004  EM
             24 -0.17060490D+04    0.0004477    0.0000003  EM
             25 -0.17060487D+04    0.0003033    0.0000002  EM
             26 -0.17060485D+04    0.0002054    0.0000001  EM
             27 -0.17060483D+04    0.0001392    0.0000001  EM
             28 -0.17060482D+04    0.0000943    0.0000001  EM
             29 -0.17060482D+04    0.0000639    0.0000000  EM
             30 -0.17060481D+04    0.0000433    0.0000000  EM
             31 -0.17060481D+04    0.0000293    0.0000000  EM
             32 -0.17060481D+04    0.0000199    0.0000000  EM
             33 -0.17060481D+04    0.0000135    0.0000000  EM
             34 -0.17060481D+04    0.0000091    0.0000000  EM
             35 -0.17060480D+04    0.0000062    0.0000000  EM
             36 -0.17060480D+04    0.0000130    0.0000000  FS
             37 -0.17060480D+04    0.0000000    0.0000000  FS


     Beginning Time:  23:13:26
        Ending Time:  23:13:27
       Elapsed Time:  00:00:01



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