Mplus VERSION 7.3
MUTHEN & MUTHEN
09/22/2014   5:50 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a LCA with
  binary latent class indicators using
  automatic starting values with random starts
  DATA:	FILE IS ex7.3.dat;
  VARIABLE:	NAMES ARE u1-u4 x1-x10;
  	USEVARIABLES = u1-u4;
  	CLASSES = c (2);
  	CATEGORICAL = u1-u4;
  	AUXILIARY = x1-x10 (e);
  ANALYSIS:	TYPE = MIXTURE;
  OUTPUT:	TECH1 TECH8 TECH10;



INPUT READING TERMINATED NORMALLY



this is an example of a LCA with
binary latent class indicators using
automatic starting values with random starts

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                            0
Number of categorical latent variables                           1

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4

Observed auxiliary variables
   X1          X2          X3          X4          X5          X6
   X7          X8          X9          X10

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)
  ex7.3.dat
Input data format  FREE


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1
      Category 1    0.678      339.000
      Category 2    0.322      161.000
    U2
      Category 1    0.686      343.000
      Category 2    0.314      157.000
    U3
      Category 1    0.322      161.000
      Category 2    0.678      339.000
    U4
      Category 1    0.334      167.000
      Category 2    0.666      333.000


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:

            -965.244  253358           2
            -965.244  93468            3
            -965.244  939021           8
            -965.244  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                        9

Loglikelihood

          H0 Value                        -965.244
          H0 Scaling Correction Factor      1.0131
            for MLR

Information Criteria

          Akaike (AIC)                    1948.488
          Bayesian (BIC)                  1986.420
          Sample-Size Adjusted BIC        1957.853
            (n* = (n + 2) / 24)

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

          Pearson Chi-Square

          Value                              6.287
          Degrees of Freedom                     6
          P-Value                           0.3918

          Likelihood Ratio Chi-Square

          Value                              5.605
          Degrees of Freedom                     6
          P-Value                           0.4688



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

    Latent
   Classes

       1        136.38041          0.27276
       2        363.61959          0.72724


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

    Latent
   Classes

       1        136.38064          0.27276
       2        363.61936          0.72724


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

Class Counts and Proportions

    Latent
   Classes

       1              127          0.25400
       2              373          0.74600


CLASSIFICATION QUALITY

     Entropy                         0.904


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

           1        2

    1   0.986    0.014
    2   0.030    0.970


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

           1        2

    1   0.918    0.082
    2   0.005    0.995


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

              1        2

    1      2.422    0.000
    2     -5.339    0.000


MODEL RESULTS

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

Latent Class 1

 Thresholds
    U1$1              -2.063      0.373     -5.536      0.000
    U2$1              -1.724      0.300     -5.755      0.000
    U3$1               2.331      0.390      5.985      0.000
    U4$1               2.078      0.320      6.490      0.000

Latent Class 2

 Thresholds
    U1$1               2.091      0.182     11.502      0.000
    U2$1               2.056      0.180     11.401      0.000
    U3$1              -2.187      0.203    -10.760      0.000
    U4$1              -1.937      0.183    -10.613      0.000

Categorical Latent Variables

 Means
    C#1               -0.981      0.116     -8.468      0.000


RESULTS IN PROBABILITY SCALE

Latent Class 1

 U1
    Category 1         0.113      0.037      3.024      0.002
    Category 2         0.887      0.037     23.800      0.000
 U2
    Category 1         0.151      0.038      3.934      0.000
    Category 2         0.849      0.038     22.056      0.000
 U3
    Category 1         0.911      0.031     28.987      0.000
    Category 2         0.089      0.031      2.817      0.005
 U4
    Category 1         0.889      0.032     28.072      0.000
    Category 2         0.111      0.032      3.514      0.000

Latent Class 2

 U1
    Category 1         0.890      0.018     50.016      0.000
    Category 2         0.110      0.018      6.181      0.000
 U2
    Category 1         0.887      0.018     48.873      0.000
    Category 2         0.113      0.018      6.256      0.000
 U3
    Category 1         0.101      0.018      5.472      0.000
    Category 2         0.899      0.018     48.748      0.000
 U4
    Category 1         0.126      0.020      6.267      0.000
    Category 2         0.874      0.020     43.498      0.000


LATENT CLASS ODDS RATIO RESULTS

Latent Class 1 Compared to Latent Class 2

 U1
    Category > 1      63.673     25.877      2.461      0.014
 U2
    Category > 1      43.796     14.941      2.931      0.003
 U3
    Category > 1       0.011      0.005      2.351      0.019
 U4
    Category > 1       0.018      0.007      2.768      0.006


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.600E-01
       (ratio of smallest to largest eigenvalue)


EQUALITY TESTS OF MEANS ACROSS CLASSES USING POSTERIOR PROBABILITY-BASED
MULTIPLE IMPUTATIONS WITH 1 DEGREE(S) OF FREEDOM FOR THE OVERALL TEST

X1
                          Mean       S.E.

  Class 1                1.660      0.146
  Class 2               -1.984      0.067

                    Chi-Square     P-Value

  Overall test         504.821      0.000

X2
                          Mean       S.E.

  Class 1                1.613      0.153
  Class 2               -1.975      0.063

                    Chi-Square     P-Value

  Overall test         451.062      0.000

X3
                          Mean       S.E.

  Class 1                0.855      0.099
  Class 2               -0.961      0.057

                    Chi-Square     P-Value

  Overall test         246.680      0.000

X4
                          Mean       S.E.

  Class 1                0.653      0.099
  Class 2               -0.946      0.055

                    Chi-Square     P-Value

  Overall test         194.248      0.000

X5
                          Mean       S.E.

  Class 1                0.085      0.094
  Class 2               -0.037      0.054

                    Chi-Square     P-Value

  Overall test           1.241      0.265

X6
                          Mean       S.E.

  Class 1               -0.029      0.088
  Class 2               -0.030      0.051

                    Chi-Square     P-Value

  Overall test           0.000      0.994

X7
                          Mean       S.E.

  Class 1               -0.681      0.110
  Class 2                0.921      0.054

                    Chi-Square     P-Value

  Overall test         165.266      0.000

X8
                          Mean       S.E.

  Class 1               -0.793      0.103
  Class 2                0.904      0.058

                    Chi-Square     P-Value

  Overall test         194.849      0.000

X9
                          Mean       S.E.

  Class 1               -1.511      0.152
  Class 2                1.864      0.062

                    Chi-Square     P-Value

  Overall test         408.496      0.000

X10
                          Mean       S.E.

  Class 1               -1.743      0.154
  Class 2                1.957      0.063

                    Chi-Square     P-Value

  Overall test         484.687      0.000



TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART


           LAMBDA(U)
              C#1           C#2
              ________      ________
 U1                 1             2
 U2                 3             4
 U3                 5             6
 U4                 7             8


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
 1                  9             0


     STARTING VALUES FOR LATENT CLASS 1


     STARTING VALUES FOR LATENT CLASS 2


     STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART


           LAMBDA(U)
              C#1           C#2
              ________      ________
 U1             0.255        -1.745
 U2             0.219        -1.781
 U3             1.745        -0.255
 U4             1.690        -0.310


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


TECHNICAL 10 OUTPUT


     MODEL FIT INFORMATION FOR THE LATENT CLASS INDICATOR MODEL PART


     RESPONSE PATTERNS

     No.  Pattern    No.  Pattern    No.  Pattern    No.  Pattern
       1  1101         2  1000         3  0011         4  1100
       5  0111         6  0010         7  0001         8  1011
       9  1010        10  0101        11  1110        12  0100
      13  0000        14  1111        15  0110        16  1001



     RESPONSE PATTERN FREQUENCIES AND CHI-SQUARE CONTRIBUTIONS

    Response          Frequency     Standardized  Chi-square Contribution
     Pattern    Observed  Estimated   Residual    Pearson   Loglikelihood  Deleted
                                     (z-score)
         1        11.00      10.81       0.06       0.00         0.38
         2        14.00      15.29      -0.33       0.11        -2.46
         3       230.00     225.48       0.41       0.09         9.13
         4        85.00      83.24       0.21       0.04         3.56
         5        27.00      28.99      -0.38       0.14        -3.84
         6        28.00      32.67      -0.84       0.67        -8.63
         7        23.00      25.54      -0.52       0.25        -4.83
         8        28.00      28.04      -0.01       0.00        -0.09
         9         6.00       5.46       0.23       0.05         1.14
        10         5.00       4.56       0.21       0.04         0.91
        11         8.00       8.60      -0.21       0.04        -1.15
        12         9.00      11.04      -0.62       0.38        -3.67
        13        10.00       5.53       1.91       3.61        11.84
        14         5.00       4.58       0.20       0.04         0.88
        15         7.00       5.19       0.80       0.63         4.20
        16         4.00       4.99      -0.44       0.19        -1.76

     THE TOTAL PEARSON CHI-SQUARE CONTRIBUTION FROM EMPTY CELLS IS         0.00


     UNIVARIATE MODEL FIT INFORMATION

                               Estimated Probabilities
                                                  Standardized
     Variable              H1           H0          Residual
                                                   (z-score)
     U1
       Category 1        0.678        0.678           0.000
       Category 2        0.322        0.322           0.000
       Univariate Pearson Chi-Square                  0.000
       Univariate Log-Likelihood Chi-Square           0.000
     U2
       Category 1        0.686        0.686           0.000
       Category 2        0.314        0.314           0.000
       Univariate Pearson Chi-Square                  0.000
       Univariate Log-Likelihood Chi-Square           0.000
     U3
       Category 1        0.322        0.322           0.000
       Category 2        0.678        0.678           0.000
       Univariate Pearson Chi-Square                  0.000
       Univariate Log-Likelihood Chi-Square           0.000
     U4
       Category 1        0.334        0.334           0.000
       Category 2        0.666        0.666           0.000
       Univariate Pearson Chi-Square                  0.000
       Univariate Log-Likelihood Chi-Square           0.000

       Overall Univariate Pearson Chi-Square                         0.000
       Overall Univariate Log-Likelihood Chi-Square                  0.000


     BIVARIATE MODEL FIT INFORMATION

                                              Estimated Probabilities
                                                                 Standardized
     Variable       Variable              H1           H0          Residual
                                                                  (z-score)
     U1             U2
       Category 1     Category 1        0.582        0.578           0.161
       Category 1     Category 2        0.096        0.100          -0.265
       Category 2     Category 1        0.104        0.108          -0.256
       Category 2     Category 2        0.218        0.214           0.193
       Bivariate Pearson Chi-Square                                  0.162
       Bivariate Log-Likelihood Chi-Square                           0.163
     U1             U3
       Category 1     Category 1        0.094        0.093           0.050
       Category 1     Category 2        0.584        0.585          -0.029
       Category 2     Category 1        0.228        0.229          -0.034
       Category 2     Category 2        0.094        0.093           0.050
       Bivariate Pearson Chi-Square                                  0.006
       Bivariate Log-Likelihood Chi-Square                           0.006
     U1             U4
       Category 1     Category 1        0.108        0.109          -0.061
       Category 1     Category 2        0.570        0.569           0.038
       Category 2     Category 1        0.226        0.225           0.045
       Category 2     Category 2        0.096        0.097          -0.064
       Bivariate Pearson Chi-Square                                  0.009
       Bivariate Log-Likelihood Chi-Square                           0.009
     U2             U3
       Category 1     Category 1        0.102        0.103          -0.052
       Category 1     Category 2        0.584        0.583           0.032
       Category 2     Category 1        0.220        0.219           0.038
       Category 2     Category 2        0.094        0.095          -0.053
       Bivariate Pearson Chi-Square                                  0.007
       Bivariate Log-Likelihood Chi-Square                           0.007
     U2             U4
       Category 1     Category 1        0.116        0.118          -0.131
       Category 1     Category 2        0.570        0.568           0.085
       Category 2     Category 1        0.218        0.216           0.103
       Category 2     Category 2        0.096        0.098          -0.142
       Bivariate Pearson Chi-Square                                  0.045
       Bivariate Log-Likelihood Chi-Square                           0.045
     U3             U4
       Category 1     Category 1        0.236        0.230           0.309
       Category 1     Category 2        0.086        0.092          -0.450
       Category 2     Category 1        0.098        0.104          -0.426
       Category 2     Category 2        0.580        0.574           0.263
       Bivariate Pearson Chi-Square                                  0.450
       Bivariate Log-Likelihood Chi-Square                           0.456

       Overall Bivariate Pearson Chi-Square                          0.678
       Overall Bivariate Log-Likelihood Chi-Square                   0.686


TECHNICAL 8 OUTPUT


  INITIAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.13869879D+04    0.0000000    0.0000000    251.389   248.611    EM
     2 -0.12702693D+04  116.7185367    0.0841525    251.530   248.470    EM
     3 -0.12589112D+04   11.3581502    0.0089415    251.555   248.445    EM
     4 -0.12478774D+04   11.0337489    0.0087645    252.462   247.538    EM
     5 -0.11983398D+04   49.5376061    0.0396975    262.713   237.287    EM
     6 -0.10772317D+04  121.1080636    0.1010632    290.929   209.071    EM
     7 -0.10051822D+04   72.0495455    0.0668840    313.813   186.187    EM
     8 -0.98532143D+03   19.8607722    0.0197584    330.012   169.988    EM
     9 -0.97512648D+03   10.1949488    0.0103468    340.776   159.224    EM
    10 -0.97007663D+03    5.0498505    0.0051787    347.927   152.073    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.15116121D+04    0.0000000    0.0000000    281.355   218.645    EM
     2 -0.11480793D+04  363.5328009    0.2404934    252.171   247.829    EM
     3 -0.10461566D+04  101.9227111    0.0887767    221.807   278.193    EM
     4 -0.10145372D+04   31.6194102    0.0302244    200.208   299.792    EM
     5 -0.99710032D+03   17.4368618    0.0171870    181.211   318.789    EM
     6 -0.98230351D+03   14.7968176    0.0148398    166.831   333.169    EM
     7 -0.97355276D+03    8.7507460    0.0089084    157.206   342.794    EM
     8 -0.96932847D+03    4.2242926    0.0043390    150.729   349.271    EM
     9 -0.96727928D+03    2.0491854    0.0021140    146.270   353.730    EM
    10 -0.96625386D+03    1.0254204    0.0010601    143.175   356.825    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.15000208D+04    0.0000000    0.0000000    113.698   386.302    EM
     2 -0.97385583D+03  526.1649184    0.3507718    124.842   375.158    EM
     3 -0.96721955D+03    6.6362839    0.0068144    129.247   370.753    EM
     4 -0.96593581D+03    1.2837366    0.0013272    131.748   368.252    EM
     5 -0.96551949D+03    0.4163233    0.0004310    133.325   366.675    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.15446417D+04    0.0000000    0.0000000    118.166   381.834    EM
     2 -0.10562425D+04  488.3992421    0.3161893    135.926   364.074    EM
     3 -0.96991442D+03   86.3280665    0.0817313    138.431   361.569    EM
     4 -0.96549509D+03    4.4193308    0.0045564    137.973   362.027    EM
     5 -0.96528859D+03    0.2065026    0.0002139    137.474   362.526    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.13675461D+04    0.0000000    0.0000000    135.763   364.237    EM
     2 -0.12613574D+04  106.1887504    0.0776491    134.283   365.717    EM
     3 -0.12464494D+04   14.9080102    0.0118190    138.271   361.729    EM
     4 -0.11789977D+04   67.4516817    0.0541151    150.650   349.350    EM
     5 -0.10213105D+04  157.6872253    0.1337468    152.387   347.613    EM
     6 -0.96950196D+03   51.8084932    0.0507275    148.143   351.857    EM
     7 -0.96669533D+03    2.8066284    0.0028949    144.516   355.484    EM
     8 -0.96594213D+03    0.7532030    0.0007792    141.950   358.050    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.19471580D+04    0.0000000    0.0000000     56.318   443.682    EM
     2 -0.12804435D+04  666.7144669    0.3424039     37.930   462.070    EM
     3 -0.12644716D+04   15.9719368    0.0124738     32.331   467.669    EM
     4 -0.12584280D+04    6.0435562    0.0047795     31.937   468.063    EM
     5 -0.12467505D+04   11.6775060    0.0092794     40.742   459.258    EM
     6 -0.11636209D+04   83.1295947    0.0666770     84.062   415.938    EM
     7 -0.10038791D+04  159.7418389    0.1372800    113.731   386.269    EM
     8 -0.97199363D+03   31.8854758    0.0317623    124.026   375.974    EM
     9 -0.96723580D+03    4.7578244    0.0048949    128.854   371.146    EM
    10 -0.96596815D+03    1.2676543    0.0013106    131.557   368.443    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.22235298D+04    0.0000000    0.0000000    292.184   207.816    EM
     2 -0.11875514D+04 1035.9783955    0.4659161    297.168   202.832    EM
     3 -0.10399659D+04  147.5854958    0.1242771    315.979   184.021    EM
     4 -0.98585714D+03   54.1087592    0.0520294    331.212   168.788    EM
     5 -0.97461678D+03   11.2403661    0.0114016    341.523   158.477    EM
     6 -0.96979329D+03    4.8234909    0.0049491    348.426   151.574    EM
     7 -0.96750381D+03    2.2894796    0.0023608    353.153   146.847    EM
     8 -0.96636652D+03    1.1372858    0.0011755    356.427   143.573    EM
     9 -0.96579457D+03    0.5719482    0.0005919    358.696   141.304    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.16319304D+04    0.0000000    0.0000000    224.658   275.342    EM
     2 -0.10255918D+04  606.3386568    0.3715469    212.294   287.706    EM
     3 -0.10188865D+04    6.7053289    0.0065380    201.717   298.283    EM
     4 -0.10102510D+04    8.6354763    0.0084754    189.385   310.615    EM
     5 -0.99498339D+03   15.2675833    0.0151127    174.052   325.948    EM
     6 -0.97906686D+03   15.9165393    0.0159968    161.654   338.346    EM
     7 -0.97122814D+03    7.8387109    0.0080063    153.570   346.430    EM
     8 -0.96809300D+03    3.1351488    0.0032280    148.174   351.826    EM
     9 -0.96664685D+03    1.4461480    0.0014938    144.477   355.523    EM
    10 -0.96593282D+03    0.7140328    0.0007387    141.924   358.076    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.16040280D+04    0.0000000    0.0000000    447.277    52.723    EM
     2 -0.12321579D+04  371.8700258    0.2318351    432.132    67.868    EM
     3 -0.10592858D+04  172.8721781    0.1403003    391.714   108.286    EM
     4 -0.97851276D+03   80.7730107    0.0762523    380.133   119.867    EM
     5 -0.97047796D+03    8.0348000    0.0082112    373.900   126.100    EM
     6 -0.96687787D+03    3.6000867    0.0037096    370.045   129.955    EM
     7 -0.96579270D+03    1.0851748    0.0011223    367.759   132.241    EM
     8 -0.96545790D+03    0.3348001    0.0003467    366.335   133.665    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.22793079D+04    0.0000000    0.0000000    332.472   167.528    EM
     2 -0.11069887D+04 1172.3192038    0.5143312    285.583   214.417    EM
     3 -0.10583793D+04   48.6093468    0.0439113    256.668   243.332    EM
     4 -0.10413742D+04   17.0051299    0.0160671    238.648   261.352    EM
     5 -0.10299223D+04   11.4519536    0.0109970    221.427   278.573    EM
     6 -0.10161584D+04   13.7639034    0.0133640    203.015   296.985    EM
     7 -0.10005327D+04   15.6256929    0.0153772    184.885   315.115    EM
     8 -0.98551375D+03   15.0189203    0.0150109    169.659   330.341    EM
     9 -0.97515262D+03   10.3611266    0.0105134    159.040   340.960    EM
    10 -0.97002150D+03    5.1311241    0.0052619    151.949   348.051    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.31179791D+04    0.0000000    0.0000000    382.559   117.441    EM
     2 -0.12444524D+04 1873.5266839    0.6008785    373.230   126.770    EM
     3 -0.11699978D+04   74.4546229    0.0598292    329.503   170.497    EM
     4 -0.10979763D+04   72.0214727    0.0615569    284.199   215.801    EM
     5 -0.10574964D+04   40.4798461    0.0368677    257.446   242.554    EM
     6 -0.10422538D+04   15.2426327    0.0144139    238.639   261.361    EM
     7 -0.10289875D+04   13.2662797    0.0127285    218.537   281.463    EM
     8 -0.10120582D+04   16.9292825    0.0164524    196.832   303.168    EM
     9 -0.99365065D+03   18.4075940    0.0181883    177.778   322.222    EM
    10 -0.97977343D+03   13.8772158    0.0139659    164.351   335.649    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.18054063D+04    0.0000000    0.0000000    182.736   317.264    EM
     2 -0.10249527D+04  780.4535851    0.4322870    170.985   329.015    EM
     3 -0.98161080D+03   43.3418991    0.0422867    159.664   340.336    EM
     4 -0.97097898D+03   10.6318208    0.0108310    152.137   347.863    EM
     5 -0.96772712D+03    3.2518590    0.0033491    147.145   352.855    EM
     6 -0.96642920D+03    1.2979202    0.0013412    143.746   356.254    EM
     7 -0.96581851D+03    0.6106819    0.0006319    141.412   358.588    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.18897512D+04    0.0000000    0.0000000    216.195   283.805    EM
     2 -0.12351379D+04  654.6133029    0.3464018    215.222   284.778    EM
     3 -0.11172058D+04  117.9321629    0.0954810    199.934   300.066    EM
     4 -0.10069352D+04  110.2705471    0.0987021    179.964   320.036    EM
     5 -0.98155888D+03   25.3763339    0.0252016    165.866   334.134    EM
     6 -0.97304404D+03    8.5148430    0.0086748    156.535   343.465    EM
     7 -0.96907828D+03    3.9657591    0.0040756    150.257   349.743    EM
     8 -0.96715327D+03    1.9250017    0.0019864    145.938   354.062    EM
     9 -0.96618991D+03    0.9633622    0.0009961    142.943   357.057    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.13427210D+04    0.0000000    0.0000000    176.971   323.029    EM
     2 -0.98958236D+03  353.1386200    0.2630022    163.938   336.062    EM
     3 -0.97308015D+03   16.5022106    0.0166759    155.087   344.913    EM
     4 -0.96865755D+03    4.4225968    0.0045449    149.203   350.797    EM
     5 -0.96689174D+03    1.7658115    0.0018229    145.182   354.818    EM
     6 -0.96605103D+03    0.8407141    0.0008695    142.408   357.592    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.28159305D+04    0.0000000    0.0000000    417.108    82.892    EM
     2 -0.12603418D+04 1555.5886958    0.5524244    417.766    82.234    EM
     3 -0.12072986D+04   53.0432761    0.0420864    384.047   115.953    EM
     4 -0.11468888D+04   60.4098112    0.0500372    332.497   167.503    EM
     5 -0.10908355D+04   56.0532467    0.0488742    290.983   209.017    EM
     6 -0.10616778D+04   29.1577338    0.0267297    268.702   231.298    EM
     7 -0.10505687D+04   11.1090788    0.0104637    253.023   246.977    EM
     8 -0.10391866D+04   11.3821361    0.0108343    234.269   265.731    EM
     9 -0.10232461D+04   15.9404753    0.0153394    211.624   288.376    EM
    10 -0.10044636D+04   18.7824995    0.0183558    189.458   310.542    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.16054417D+04    0.0000000    0.0000000    269.762   230.238    EM
     2 -0.12634854D+04  341.9563118    0.2129983    270.456   229.544    EM
     3 -0.12208126D+04   42.6728112    0.0337739    274.025   225.975    EM
     4 -0.11078778D+04  112.9347926    0.0925079    294.720   205.280    EM
     5 -0.10082026D+04   99.6752613    0.0899695    316.679   183.321    EM
     6 -0.98366031D+03   24.5422571    0.0243426    331.994   168.006    EM
     7 -0.97409946D+03    9.5608524    0.0097197    342.095   157.905    EM
     8 -0.96956995D+03    4.5295144    0.0046500    348.826   151.174    EM
     9 -0.96739359D+03    2.1763610    0.0022447    353.433   146.567    EM
    10 -0.96631033D+03    1.0832593    0.0011198    356.623   143.377    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.13869042D+04    0.0000000    0.0000000    449.238    50.762    EM
     2 -0.10835166D+04  303.3876494    0.2187517    400.993    99.007    EM
     3 -0.98367326D+03   99.8432979    0.0921475    382.883   117.117    EM
     4 -0.97028845D+03   13.3848041    0.0136070    374.683   125.317    EM
     5 -0.96685733D+03    3.4311200    0.0035362    370.493   129.507    EM
     6 -0.96584854D+03    1.0087921    0.0010434    368.058   131.942    EM
     7 -0.96548979D+03    0.3587519    0.0003714    366.536   133.464    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.29268154D+04    0.0000000    0.0000000    273.852   226.148    EM
     2 -0.10620013D+04 1864.8140480    0.6371478    294.260   205.740    EM
     3 -0.10082281D+04   53.7732103    0.0506338    310.485   189.515    EM
     4 -0.99157992D+03   16.6481976    0.0165123    326.036   173.964    EM
     5 -0.97825706D+03   13.3228593    0.0134360    337.905   162.095    EM
     6 -0.97139918D+03    6.8578806    0.0070103    345.913   154.087    EM
     7 -0.96827623D+03    3.1229490    0.0032149    351.394   148.606    EM
     8 -0.96675415D+03    1.5220842    0.0015720    355.197   144.803    EM
     9 -0.96598941D+03    0.7647408    0.0007910    357.841   142.159    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.25092236D+04    0.0000000    0.0000000    202.866   297.134    EM
     2 -0.10372505D+04 1471.9731893    0.5866249    186.786   313.214    EM
     3 -0.99304514D+03   44.2053167    0.0426178    170.977   329.023    EM
     4 -0.97684831D+03   16.1968297    0.0163103    159.636   340.364    EM
     5 -0.97035820D+03    6.4901087    0.0066439    152.254   347.746    EM
     6 -0.96770291D+03    2.6552841    0.0027364    147.279   352.721    EM
     7 -0.96645399D+03    1.2489192    0.0012906    143.859   356.141    EM
     8 -0.96583617D+03    0.6178279    0.0006393    141.497   358.503    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.29591680D+04    0.0000000    0.0000000     62.479   437.521    EM
     2 -0.12835674D+04 1675.6005719    0.5662404     41.399   458.601    EM
     3 -0.12593470D+04   24.2203553    0.0188696     40.244   459.756    EM
     4 -0.12389982D+04   20.3488665    0.0161583     56.254   443.746    EM
     5 -0.12063418D+04   32.6564078    0.0263571     93.665   406.335    EM
     6 -0.11587874D+04   47.5543186    0.0394203    145.799   354.201    EM
     7 -0.11054792D+04   53.3082606    0.0460035    191.942   308.058    EM
     8 -0.10711046D+04   34.3745789    0.0310947    217.391   282.609    EM
     9 -0.10595257D+04   11.5789253    0.0108103    229.920   270.080    EM
    10 -0.10529623D+04    6.5634056    0.0061947    241.324   258.676    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.15746821D+04    0.0000000    0.0000000    372.576   127.424    EM
     2 -0.12126864D+04  361.9957095    0.2298849    363.324   136.676    EM
     3 -0.10471607D+04  165.5257274    0.1364951    354.143   145.857    EM
     4 -0.96978319D+03   77.3774808    0.0738927    355.799   144.201    EM
     5 -0.96600353D+03    3.7796633    0.0038974    358.221   141.779    EM
     6 -0.96556698D+03    0.4365451    0.0004519    359.958   140.042    EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


     5 -0.96528859D+03    0.2065026    0.0002139    137.474   362.526    EM
     6 -0.96525915D+03    0.0294404    0.0000305    137.119   362.881    EM
     7 -0.96525050D+03    0.0086493    0.0000090    136.878   363.122    EM
     8 -0.96524696D+03    0.0035394    0.0000037    136.715   363.285    EM
     9 -0.96524539D+03    0.0015734    0.0000016    136.606   363.394    EM
    10 -0.96524467D+03    0.0007113    0.0000007    136.532   363.468    EM
    11 -0.96524435D+03    0.0003224    0.0000003    136.483   363.517    EM
    12 -0.96524421D+03    0.0001461    0.0000002    136.449   363.551    EM
    13 -0.96524414D+03    0.0000662    0.0000001    136.427   363.573    EM
    14 -0.96524411D+03    0.0000299    0.0000000    136.412   363.588    EM
    15 -0.96524410D+03    0.0000135    0.0000000    136.402   363.598    EM
    16 -0.96524409D+03    0.0000061    0.0000000    136.395   363.605    EM
    17 -0.96524409D+03    0.0000028    0.0000000    136.390   363.610    EM
    18 -0.96524409D+03    0.0000013    0.0000000    136.387   363.613    EM
    19 -0.96524409D+03    0.0000006    0.0000000    136.385   363.615    EM
    20 -0.96524408D+03    0.0000003    0.0000000    136.384   363.616    EM
    21 -0.96524408D+03    0.0000001    0.0000000    136.383   363.617    EM
    22 -0.96524408D+03    0.0000001    0.0000000    136.382   363.618    EM
    23 -0.96524408D+03    0.0000000    0.0000000    136.382   363.618    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


     8 -0.96545790D+03    0.3348001    0.0003467    366.335   133.665    EM
     9 -0.96533377D+03    0.1241303    0.0001286    365.418   134.582    EM
    10 -0.96528297D+03    0.0507996    0.0000526    364.817   135.183    EM
    11 -0.96526122D+03    0.0217444    0.0000225    364.420   135.580    EM
    12 -0.96525171D+03    0.0095144    0.0000099    364.155   135.845    EM
    13 -0.96524749D+03    0.0042133    0.0000044    363.979   136.021    EM
    14 -0.96524561D+03    0.0018791    0.0000019    363.860   136.140    EM
    15 -0.96524477D+03    0.0008418    0.0000009    363.781   136.219    EM
    16 -0.96524439D+03    0.0003782    0.0000004    363.728   136.272    EM
    17 -0.96524422D+03    0.0001703    0.0000002    363.692   136.308    EM
    18 -0.96524415D+03    0.0000767    0.0000001    363.668   136.332    EM
    19 -0.96524411D+03    0.0000346    0.0000000    363.652   136.348    EM
    20 -0.96524410D+03    0.0000156    0.0000000    363.641   136.359    EM
    21 -0.96524409D+03    0.0000071    0.0000000    363.634   136.366    EM
    22 -0.96524409D+03    0.0000032    0.0000000    363.629   136.371    EM
    23 -0.96524409D+03    0.0000014    0.0000000    363.626   136.374    EM
    24 -0.96524409D+03    0.0000007    0.0000000    363.623   136.377    EM
    25 -0.96524408D+03    0.0000003    0.0000000    363.622   136.378    EM
    26 -0.96524408D+03    0.0000001    0.0000000    363.621   136.379    EM
    27 -0.96524408D+03    0.0000001    0.0000000    363.620   136.380    EM
    28 -0.96524408D+03    0.0000000    0.0000000    363.620   136.380    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16


     7 -0.96548979D+03    0.3587519    0.0003714    366.536   133.464    EM
     8 -0.96534827D+03    0.1415246    0.0001466    365.554   134.446    EM
     9 -0.96528932D+03    0.0589420    0.0000611    364.909   135.091    EM
    10 -0.96526401D+03    0.0253123    0.0000262    364.481   135.519    EM
    11 -0.96525294D+03    0.0110712    0.0000115    364.197   135.803    EM
    12 -0.96524804D+03    0.0048978    0.0000051    364.006   135.994    EM
    13 -0.96524586D+03    0.0021825    0.0000023    363.879   136.121    EM
    14 -0.96524488D+03    0.0009772    0.0000010    363.794   136.206    EM
    15 -0.96524444D+03    0.0004388    0.0000005    363.736   136.264    EM
    16 -0.96524425D+03    0.0001975    0.0000002    363.698   136.302    EM
    17 -0.96524416D+03    0.0000890    0.0000001    363.672   136.328    EM
    18 -0.96524412D+03    0.0000401    0.0000000    363.654   136.346    EM
    19 -0.96524410D+03    0.0000181    0.0000000    363.643   136.357    EM
    20 -0.96524409D+03    0.0000082    0.0000000    363.635   136.365    EM
    21 -0.96524409D+03    0.0000037    0.0000000    363.630   136.370    EM
    22 -0.96524409D+03    0.0000017    0.0000000    363.626   136.374    EM
    23 -0.96524409D+03    0.0000008    0.0000000    363.624   136.376    EM
    24 -0.96524408D+03    0.0000003    0.0000000    363.622   136.378    EM
    25 -0.96524408D+03    0.0000002    0.0000000    363.621   136.379    EM
    26 -0.96524408D+03    0.0000001    0.0000000    363.620   136.380    EM
    27 -0.96524408D+03    0.0000000    0.0000000    363.620   136.380    EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


     5 -0.96551949D+03    0.4163233    0.0004310    133.325   366.675    EM
     6 -0.96535997D+03    0.1595151    0.0001652    134.351   365.649    EM
     7 -0.96529424D+03    0.0657366    0.0000681    135.027   364.973    EM
     8 -0.96526614D+03    0.0281004    0.0000291    135.475   364.525    EM
     9 -0.96525388D+03    0.0122619    0.0000127    135.774   364.226    EM
    10 -0.96524846D+03    0.0054174    0.0000056    135.974   364.026    EM
    11 -0.96524605D+03    0.0024121    0.0000025    136.108   363.892    EM
    12 -0.96524497D+03    0.0010794    0.0000011    136.198   363.802    EM
    13 -0.96524448D+03    0.0004846    0.0000005    136.258   363.742    EM
    14 -0.96524426D+03    0.0002180    0.0000002    136.298   363.702    EM
    15 -0.96524417D+03    0.0000982    0.0000001    136.325   363.675    EM
    16 -0.96524412D+03    0.0000443    0.0000000    136.344   363.656    EM
    17 -0.96524410D+03    0.0000200    0.0000000    136.356   363.644    EM
    18 -0.96524409D+03    0.0000090    0.0000000    136.364   363.636    EM
    19 -0.96524409D+03    0.0000041    0.0000000    136.370   363.630    EM
    20 -0.96524409D+03    0.0000018    0.0000000    136.373   363.627    EM
    21 -0.96524409D+03    0.0000008    0.0000000    136.376   363.624    EM
    22 -0.96524408D+03    0.0000004    0.0000000    136.378   363.622    EM
    23 -0.96524408D+03    0.0000002    0.0000000    136.379   363.621    EM
    24 -0.96524408D+03    0.0000001    0.0000000    136.380   363.620    EM
    25 -0.96524408D+03    0.0000000    0.0000000    136.380   363.620    EM
    26 -0.96524408D+03    0.0000000    0.0000000    136.380   363.620    EM


     Beginning Time:  17:50:03
        Ending Time:  17:50:03
       Elapsed Time:  00:00:00



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