Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  11:12 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of LCA with partial conditional independence
  DATA:	FILE IS ex7.16.dat;
  VARIABLE:	NAMES ARE u1-u4;
  	CATEGORICAL = u1-u4;
  	CLASSES = c(2);
  ANALYSIS:	TYPE = MIXTURE;
  	PARAMETERIZATION = RESCOVARIANCES;
  MODEL:	
  	%OVERALL%
  	%c#1%
  	[u1$1-u4$1*-1];
  	u2 WITH u3;
  OUTPUT:	TECH1 TECH8;



INPUT READING TERMINATED NORMALLY



this is an example of LCA with partial conditional independence

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

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

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4

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-02
    Relative loglikelihood change                        0.100D-05
    Derivative                                           0.100D-02
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-02
  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-02
  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
Integration Specifications
  Type                                                    STANDARD
  Number of integration points                                  15
  Dimensions of numerical integration                            0
  Adaptive quadrature                                           ON
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
Cholesky                                                        ON

Input data file(s)
  ex7.16.dat
Input data format  FREE


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1
      Category 1    0.493          493.000
      Category 2    0.507          507.000
    U2
      Category 1    0.436          436.000
      Category 2    0.564          564.000
    U3
      Category 1    0.447          447.000
      Category 2    0.553          553.000
    U4
      Category 1    0.489          489.000
      Category 2    0.511          511.000


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:

           -2598.111  573096           20
           -2598.132  107446           12
           -2598.226  939021           8
           -2598.274  76974            16



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                       10

Loglikelihood

          H0 Value                       -2598.111
          H0 Scaling Correction Factor      1.0570
            for MLR

Information Criteria

          Akaike (AIC)                    5216.222
          Bayesian (BIC)                  5265.299
          Sample-Size Adjusted BIC        5233.539
            (n* = (n + 2) / 24)

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

          Pearson Chi-Square

          Value                             11.044
          Degrees of Freedom                     5
          P-Value                           0.0505

          Likelihood Ratio Chi-Square

          Value                             10.857
          Degrees of Freedom                     5
          P-Value                           0.0543



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

    Latent
   Classes

       1        464.30517          0.46431
       2        535.69483          0.53569


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

    Latent
   Classes

       1        464.30517          0.46431
       2        535.69483          0.53569


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

Class Counts and Proportions

    Latent
   Classes

       1              471          0.47100
       2              529          0.52900


CLASSIFICATION QUALITY

     Entropy                         0.579


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

           1        2

    1   0.868    0.132
    2   0.105    0.895


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

           1        2

    1   0.880    0.120
    2   0.116    0.884


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

              1        2

    1      1.995    0.000
    2     -2.029    0.000


MODEL RESULTS

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

Latent Class 1

 U2       WITH
    U3                 0.000      3.132      0.000      1.000

 Thresholds
    U1$1              -1.056      0.157     -6.740      0.000
    U2$1              -1.853      6.374     -0.291      0.771
    U3$1              -1.952      6.453     -0.303      0.762
    U4$1              -1.002      0.133     -7.563      0.000

Latent Class 2

 Thresholds
    U1$1               0.836      0.210      3.976      0.000
    U2$1               0.833      0.151      5.521      0.000
    U3$1               0.977      0.144      6.801      0.000
    U4$1               0.759      0.204      3.713      0.000

Categorical Latent Variables

 Means
    C#1               -0.143      0.238     -0.602      0.547


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.572E-04
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


           NU
              U1            U2            U3            U4
              ________      ________      ________      ________
                    0             0             0             0


           THETA
              U1            U2            U3            U4
              ________      ________      ________      ________
 U1                 0
 U2                 0             0
 U3                 0             1             0
 U4                 0             0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


           NU
              U1            U2            U3            U4
              ________      ________      ________      ________
                    0             0             0             0


           THETA
              U1            U2            U3            U4
              ________      ________      ________      ________
 U1                 0
 U2                 0             0
 U3                 0             0             0
 U4                 0             0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    2             3             4             5


           TAU(U) FOR LATENT CLASS 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    6             7             8             9


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
                   10             0


     STARTING VALUES FOR LATENT CLASS 1


           NU
              U1            U2            U3            U4
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           THETA
              U1            U2            U3            U4
              ________      ________      ________      ________
 U1             1.000
 U2             0.000         1.000
 U3             0.000         0.000         1.000
 U4             0.000         0.000         0.000         1.000


     STARTING VALUES FOR LATENT CLASS 2


           NU
              U1            U2            U3            U4
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           THETA
              U1            U2            U3            U4
              ________      ________      ________      ________
 U1             1.000
 U2             0.000         1.000
 U3             0.000         0.000         1.000
 U4             0.000         0.000         0.000         1.000


     STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000        -1.000        -1.000        -1.000


           TAU(U) FOR LATENT CLASS 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                0.972         0.743         0.787         0.956


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           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 -0.26230773D+04    0.0000000    0.0000000  EM
              2 -0.26010420D+04   22.0353230    0.0084006  EM
              3 -0.25994529D+04    1.5891194    0.0006110  EM
              4 -0.25990493D+04    0.4036483    0.0001553  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.29680287D+04    0.0000000    0.0000000  EM
              2 -0.26194982D+04  348.5305074    0.1174283  EM
              3 -0.26074528D+04   12.0454560    0.0045984  EM
              4 -0.26046550D+04    2.7977579    0.0010730  EM
              5 -0.26029370D+04    1.7180200    0.0006596  EM
              6 -0.26016532D+04    1.2838419    0.0004932  EM
              7 -0.26006808D+04    0.9723155    0.0003737  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.36506162D+04    0.0000000    0.0000000  EM
              2 -0.26274913D+04 1023.1248355    0.2802609  EM
              3 -0.26085607D+04   18.9306142    0.0072048  EM
              4 -0.26024576D+04    6.1031146    0.0023396  EM
              5 -0.26000953D+04    2.3623603    0.0009077  EM
              6 -0.25991699D+04    0.9253372    0.0003559  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.34736942D+04    0.0000000    0.0000000  EM
              2 -0.27284311D+04  745.2630750    0.2145448  EM
              3 -0.27006187D+04   27.8123902    0.0101935  EM
              4 -0.26820950D+04   18.5237266    0.0068591  EM
              5 -0.26626287D+04   19.4663073    0.0072579  EM
              6 -0.26434536D+04   19.1751178    0.0072016  EM
              7 -0.26265424D+04   16.9111722    0.0063974  EM
              8 -0.26152595D+04   11.2829207    0.0042957  EM
              9 -0.26091506D+04    6.1089423    0.0023359  EM
             10 -0.26061037D+04    3.0468421    0.0011678  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.41040866D+04    0.0000000    0.0000000  EM
              2 -0.26958799D+04 1408.2067195    0.3431231  EM
              3 -0.26493174D+04   46.5624287    0.0172717  EM
              4 -0.26230974D+04   26.2200056    0.0098969  EM
              5 -0.26122367D+04   10.8607457    0.0041404  EM
              6 -0.26082358D+04    4.0008224    0.0015316  EM
              7 -0.26063834D+04    1.8524218    0.0007102  EM
              8 -0.26052240D+04    1.1594552    0.0004449  EM
              9 -0.26043687D+04    0.8552656    0.0003283  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.47365592D+04    0.0000000    0.0000000  EM
              2 -0.26466470D+04 2089.9122045    0.4412300  EM
              3 -0.26228953D+04   23.7516659    0.0089742  EM
              4 -0.26130253D+04    9.8699997    0.0037630  EM
              5 -0.26092978D+04    3.7274855    0.0014265  EM
              6 -0.26074952D+04    1.8026154    0.0006908  EM
              7 -0.26063175D+04    1.1777335    0.0004517  EM
              8 -0.26053535D+04    0.9639585    0.0003699  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.65320545D+04    0.0000000    0.0000000  EM
              2 -0.27231330D+04 3808.9215413    0.5831123  EM
              3 -0.26362106D+04   86.9223893    0.0319200  EM
              4 -0.26128780D+04   23.3325723    0.0088508  EM
              5 -0.26059489D+04    6.9290890    0.0026519  EM
              6 -0.26031845D+04    2.7644023    0.0010608  EM
              7 -0.26019909D+04    1.1936279    0.0004585  EM
              8 -0.26009887D+04    1.0022067    0.0003852  EM
              9 -0.26001700D+04    0.8186834    0.0003148  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.51222617D+04    0.0000000    0.0000000  EM
              2 -0.26437507D+04 2478.5110388    0.4838704  EM
              3 -0.26311749D+04   12.5757698    0.0047568  EM
              4 -0.26239067D+04    7.2682300    0.0027624  EM
              5 -0.26177692D+04    6.1374301    0.0023390  EM
              6 -0.26131212D+04    4.6479967    0.0017756  EM
              7 -0.26101827D+04    2.9385722    0.0011245  EM
              8 -0.26085940D+04    1.5886628    0.0006086  EM
              9 -0.26077693D+04    0.8246811    0.0003161  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.51915468D+04    0.0000000    0.0000000  EM
              2 -0.26603322D+04 2531.2146495    0.4875646  EM
              3 -0.26348532D+04   25.4789105    0.0095773  EM
              4 -0.26252771D+04    9.5761712    0.0036344  EM
              5 -0.26184003D+04    6.8767491    0.0026194  EM
              6 -0.26122977D+04    6.1026605    0.0023307  EM
              7 -0.26080172D+04    4.2804958    0.0016386  FS
              8 -0.25994547D+04    8.5624914    0.0032831  EM
              9 -0.25986532D+04    0.8014935    0.0003083  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.72867912D+04    0.0000000    0.0000000  EM
              2 -0.26823665D+04 4604.4247033    0.6318865  EM
              3 -0.26589222D+04   23.4442389    0.0087401  EM
              4 -0.26508074D+04    8.1148163    0.0030519  EM
              5 -0.26456773D+04    5.1300910    0.0019353  EM
              6 -0.26425357D+04    3.1416280    0.0011875  EM
              7 -0.26407409D+04    1.7948317    0.0006792  EM
              8 -0.26398863D+04    0.8545685    0.0003236  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.51039153D+04    0.0000000    0.0000000  EM
              2 -0.26482381D+04 2455.6771877    0.4811360  EM
              3 -0.26310951D+04   17.1430163    0.0064734  EM
              4 -0.26250414D+04    6.0536594    0.0023008  EM
              5 -0.26225005D+04    2.5409170    0.0009680  EM
              6 -0.26208180D+04    1.6824672    0.0006416  EM
              7 -0.26198569D+04    0.9611302    0.0003667  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.35748875D+04    0.0000000    0.0000000  EM
              2 -0.26952319D+04  879.6555645    0.2460652  EM
              3 -0.26565851D+04   38.6468471    0.0143390  EM
              4 -0.26460489D+04   10.5361764    0.0039661  EM
              5 -0.26432297D+04    2.8192122    0.0010654  EM
              6 -0.26412251D+04    2.0045936    0.0007584  EM
              7 -0.26395199D+04    1.7051924    0.0006456  EM
              8 -0.26379226D+04    1.5972462    0.0006051  EM
              9 -0.26366435D+04    1.2791304    0.0004849  EM
             10 -0.26348427D+04    1.8008263    0.0006830  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.29755250D+04    0.0000000    0.0000000  EM
              2 -0.26257670D+04  349.7579915    0.1175450  EM
              3 -0.26110854D+04   14.6815930    0.0055914  EM
              4 -0.26068219D+04    4.2634755    0.0016328  EM
              5 -0.26044869D+04    2.3350308    0.0008957  EM
              6 -0.26029481D+04    1.5387377    0.0005908  EM
              7 -0.25991251D+04    3.8230278    0.0014687  FS
              8 -0.25982447D+04    0.8804451    0.0003387  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.43647965D+04    0.0000000    0.0000000  EM
              2 -0.26582707D+04 1706.5257736    0.3909749  EM
              3 -0.26436433D+04   14.6274177    0.0055026  EM
              4 -0.26351950D+04    8.4482927    0.0031957  EM
              5 -0.26287397D+04    6.4553411    0.0024497  EM
              6 -0.26236329D+04    5.1067123    0.0019426  EM
              7 -0.26193854D+04    4.2475590    0.0016190  EM
              8 -0.26156899D+04    3.6955297    0.0014108  EM
              9 -0.26125912D+04    3.0986872    0.0011847  EM
             10 -0.26102706D+04    2.3205615    0.0008882  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.58272717D+04    0.0000000    0.0000000  EM
              2 -0.26255336D+04 3201.7381056    0.5494403  EM
              3 -0.26144072D+04   11.1264091    0.0042378  EM
              4 -0.26117939D+04    2.6132639    0.0009996  EM
              5 -0.26102409D+04    1.5530486    0.0005946  EM
              6 -0.26091460D+04    1.0948891    0.0004195  EM
              7 -0.26082959D+04    0.8500443    0.0003258  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.37335395D+04    0.0000000    0.0000000  EM
              2 -0.26596341D+04 1073.9054400    0.2876374  EM
              3 -0.26307762D+04   28.8578832    0.0108503  EM
              4 -0.26186272D+04   12.1489651    0.0046180  EM
              5 -0.26122555D+04    6.3717263    0.0024332  EM
              6 -0.26087181D+04    3.5374407    0.0013542  EM
              7 -0.26064948D+04    2.2232614    0.0008522  EM
              8 -0.26050473D+04    1.4474757    0.0005553  EM
              9 -0.26040678D+04    0.9795278    0.0003760  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.32456765D+04    0.0000000    0.0000000  EM
              2 -0.26921599D+04  553.5165804    0.1705397  EM
              3 -0.26442665D+04   47.8933674    0.0177899  EM
              4 -0.26222605D+04   22.0060315    0.0083222  EM
              5 -0.26122606D+04    9.9999313    0.0038135  EM
              6 -0.26070945D+04    5.1661133    0.0019776  EM
              7 -0.26039397D+04    3.1547508    0.0012101  EM
              8 -0.25989041D+04    5.0356157    0.0019338  FS
              9 -0.25984137D+04    0.4904124    0.0001887  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.54147973D+04    0.0000000    0.0000000  EM
              2 -0.27062541D+04 2708.5432078    0.5002114  EM
              3 -0.26479566D+04   58.2974321    0.0215417  EM
              4 -0.26257411D+04   22.2155536    0.0083897  EM
              5 -0.26194022D+04    6.3389187    0.0024141  EM
              6 -0.26161291D+04    3.2730542    0.0012495  EM
              7 -0.26137384D+04    2.3907214    0.0009138  EM
              8 -0.26121083D+04    1.6301367    0.0006237  EM
              9 -0.26111192D+04    0.9890691    0.0003786  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.59098218D+04    0.0000000    0.0000000  EM
              2 -0.27014824D+04 3208.3393731    0.5428826  EM
              3 -0.26523336D+04   49.1487681    0.0181933  EM
              4 -0.26388564D+04   13.4772446    0.0050813  EM
              5 -0.26358163D+04    3.0401063    0.0011521  EM
              6 -0.26339498D+04    1.8665340    0.0007081  EM
              7 -0.26333467D+04    0.6030968    0.0002290  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.61832791D+04    0.0000000    0.0000000  EM
              2 -0.26949104D+04 3488.3687430    0.5641616  EM
              3 -0.26392183D+04   55.6921008    0.0206657  EM
              4 -0.26221762D+04   17.0420857    0.0064572  EM
              5 -0.26158245D+04    6.3517435    0.0024223  EM
              6 -0.26131678D+04    2.6566830    0.0010156  EM
              7 -0.26119476D+04    1.2202358    0.0004670  EM
              8 -0.26113624D+04    0.5851378    0.0002240  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.49384839D+04    0.0000000    0.0000000  EM
              2 -0.26203901D+04 2318.0938408    0.4693938  EM
              3 -0.26125457D+04    7.8443964    0.0029936  EM
              4 -0.26072718D+04    5.2738846    0.0020187  EM
              5 -0.26050856D+04    2.1861689    0.0008385  EM
              6 -0.25995832D+04    5.5024355    0.0021122  FS
              7 -0.25981714D+04    1.4117876    0.0005431  EM
              8 -0.25981223D+04    0.0491433    0.0000189  EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20




   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.49384839D+04    0.0000000    0.0000000  EM
              2 -0.26203901D+04 2318.0938408    0.4693938  EM
              3 -0.26125457D+04    7.8443964    0.0029936  EM
              4 -0.26072718D+04    5.2738846    0.0020187  EM
              5 -0.26050856D+04    2.1861689    0.0008385  EM
              6 -0.25995832D+04    5.5024355    0.0021122  FS
              7 -0.25981714D+04    1.4117876    0.0005431  EM
              8 -0.25981223D+04    0.0491433    0.0000189  EM
              9 -0.25981117D+04    0.0105960    0.0000041  EM
             10 -0.25981108D+04    0.0008525    0.0000003  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12




   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.29755250D+04    0.0000000    0.0000000  EM
              2 -0.26257670D+04  349.7579915    0.1175450  EM
              3 -0.26110854D+04   14.6815930    0.0055914  EM
              4 -0.26068219D+04    4.2634755    0.0016328  EM
              5 -0.26044869D+04    2.3350308    0.0008957  EM
              6 -0.26029481D+04    1.5387377    0.0005908  EM
              7 -0.25991251D+04    3.8230278    0.0014687  FS
              8 -0.25982447D+04    0.8804451    0.0003387  EM
              9 -0.25981570D+04    0.0876810    0.0000337  EM
             10 -0.25981321D+04    0.0248629    0.0000096  EM
             11 -0.25981321D+04    0.0000022    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16




   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.32456765D+04    0.0000000    0.0000000  EM
              2 -0.26921599D+04  553.5165804    0.1705397  EM
              3 -0.26442665D+04   47.8933674    0.0177899  EM
              4 -0.26222605D+04   22.0060315    0.0083222  EM
              5 -0.26122606D+04    9.9999313    0.0038135  EM
              6 -0.26070945D+04    5.1661133    0.0019776  EM
              7 -0.26039397D+04    3.1547508    0.0012101  EM
              8 -0.25989041D+04    5.0356157    0.0019338  FS
              9 -0.25984137D+04    0.4904124    0.0001887  EM
             10 -0.25983477D+04    0.0659865    0.0000254  EM
             11 -0.25983223D+04    0.0253656    0.0000098  EM
             12 -0.25983000D+04    0.0223374    0.0000086  EM
             13 -0.25982883D+04    0.0117184    0.0000045  EM
             14 -0.25982865D+04    0.0017785    0.0000007  EM
             15 -0.25982760D+04    0.0104975    0.0000040  EM
             16 -0.25982745D+04    0.0014567    0.0000006  EM
             17 -0.25982743D+04    0.0002082    0.0000001  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8




   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.51915468D+04    0.0000000    0.0000000  EM
              2 -0.26603322D+04 2531.2146495    0.4875646  EM
              3 -0.26348532D+04   25.4789105    0.0095773  EM
              4 -0.26252771D+04    9.5761712    0.0036344  EM
              5 -0.26184003D+04    6.8767491    0.0026194  EM
              6 -0.26122977D+04    6.1026605    0.0023307  EM
              7 -0.26080172D+04    4.2804958    0.0016386  FS
              8 -0.25994547D+04    8.5624914    0.0032831  EM
              9 -0.25986532D+04    0.8014935    0.0003083  EM
             10 -0.25985011D+04    0.1521239    0.0000585  EM
             11 -0.25984219D+04    0.0791345    0.0000305  EM
             12 -0.25983758D+04    0.0461552    0.0000178  EM
             13 -0.25983411D+04    0.0346944    0.0000134  EM
             14 -0.25983038D+04    0.0372940    0.0000144  EM
             15 -0.25982786D+04    0.0251698    0.0000097  EM
             16 -0.25982739D+04    0.0047405    0.0000018  EM
             17 -0.25982466D+04    0.0273149    0.0000105  EM
             18 -0.25982295D+04    0.0170116    0.0000065  EM
             19 -0.25982263D+04    0.0032289    0.0000012  EM
             20 -0.25982259D+04    0.0003735    0.0000001  EM
             21 -0.25982259D+04    0.0000432    0.0000000  EM


     Beginning Time:  23:12:58
        Ending Time:  23:12:59
       Elapsed Time:  00:00:01



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