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

INPUT INSTRUCTIONS

  TITLE:	this is an example of mixture modeling
  	with continuous variables that correlate
  	within class
  DATA:	FILE IS ex7.22.dat;
  VARIABLE:	NAMES ARE y1-y4 c;
  	USEVARIABLES ARE y1-y4;
  	CLASSES = c (3);
  ANALYSIS:	TYPE = MIXTURE;
  MODEL:	
  	%OVERALL%
  	y1 WITH y2-y4;
  	y2 WITH y3 y4;
  	y3 WITH y4;
  	%c#2%
  	[y1-y4*-1];
  	%c#3%
  	[y1-y4*1];
  OUTPUT:	TECH1 TECH8;



INPUT READING TERMINATED NORMALLY



this is an example of mixture modeling
with continuous variables that correlate
within class

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

  Continuous
   Y1          Y2          Y3          Y4

Categorical latent variables
   C


Estimator                                                      MLR
Information matrix                                        OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
  Maximum number of iterations                                 100
  Convergence criterion                                  0.100D-05
Optimization Specifications for the EM Algorithm
  Maximum number of iterations                                 500
  Convergence criteria
    Loglikelihood change                                 0.100D-06
    Relative loglikelihood change                        0.100D-06
    Derivative                                           0.100D-05
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
  Maximum value for logit thresholds                            15
  Minimum value for logit thresholds                           -15
  Minimum expected cell size for chi-square              0.100D-01
Optimization algorithm                                         EMA
Random Starts Specifications
  Number of initial stage random starts                         20
  Number of final stage optimizations                            4
  Number of initial stage iterations                            10
  Initial stage convergence criterion                    0.100D+01
  Random starts scale                                    0.500D+01
  Random seed for generating random starts                       0

Input data file(s)
  ex7.22.dat
Input data format  FREE



UNIVARIATE SAMPLE STATISTICS


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS

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

     Y1                   -0.089       0.027      -4.194    0.20%      -1.927     -0.716     -0.083
             500.000       3.643      -0.856       4.212    0.20%       0.563      1.708
     Y2                   -0.118       0.025      -4.535    0.20%      -2.012     -0.758     -0.157
             500.000       3.691      -0.848       4.965    0.20%       0.557      1.745
     Y3                   -0.120       0.069      -4.665    0.20%      -1.959     -0.869     -0.238
             500.000       3.660      -1.001       3.880    0.20%       0.453      1.758
     Y4                   -0.123       0.048      -4.591    0.20%      -1.863     -0.773     -0.101
             500.000       3.504      -0.784       4.462    0.20%       0.473      1.640

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:

           -3054.963  unperturbed      0
           -3054.963  533738           11
           -3068.721  93468            3
           -3068.721  27071            15



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


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       24

Loglikelihood

          H0 Value                       -3054.963
          H0 Scaling Correction Factor      0.9972
            for MLR

Information Criteria

          Akaike (AIC)                    6157.926
          Bayesian (BIC)                  6259.077
          Sample-Size Adjusted BIC        6182.899
            (n* = (n + 2) / 24)



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

    Latent
   Classes

       1        171.08791          0.34218
       2        162.30845          0.32462
       3        166.60365          0.33321


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

    Latent
   Classes

       1        171.08791          0.34218
       2        162.30845          0.32462
       3        166.60365          0.33321


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

Class Counts and Proportions

    Latent
   Classes

       1              169          0.33800
       2              164          0.32800
       3              167          0.33400


CLASSIFICATION QUALITY

     Entropy                         0.812


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

           1        2        3

    1   0.931    0.069    0.000
    2   0.084    0.869    0.047
    3   0.000    0.049    0.951


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

           1        2        3

    1   0.920    0.080    0.000
    2   0.072    0.878    0.050
    3   0.000    0.047    0.953


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

              1        2        3

    1     12.602   10.165    0.000
    2      0.356    2.858    0.000
    3    -13.339   -3.017    0.000


MODEL RESULTS

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

Latent Class 1

 Y1       WITH
    Y2                 0.442      0.072      6.140      0.000
    Y3                 0.397      0.062      6.385      0.000
    Y4                 0.476      0.068      6.948      0.000

 Y2       WITH
    Y3                 0.159      0.055      2.902      0.004
    Y4                 0.264      0.078      3.396      0.001

 Y3       WITH
    Y4                 0.065      0.054      1.199      0.230

 Means
    Y1                -2.065      0.109    -19.013      0.000
    Y2                -2.126      0.101    -21.042      0.000
    Y3                -2.059      0.093    -22.059      0.000
    Y4                -1.987      0.098    -20.364      0.000

 Variances
    Y1                 0.951      0.087     10.950      0.000
    Y2                 0.951      0.089     10.679      0.000
    Y3                 0.847      0.070     12.142      0.000
    Y4                 1.095      0.101     10.787      0.000

Latent Class 2

 Y1       WITH
    Y2                 0.442      0.072      6.140      0.000
    Y3                 0.397      0.062      6.385      0.000
    Y4                 0.476      0.068      6.948      0.000

 Y2       WITH
    Y3                 0.159      0.055      2.902      0.004
    Y4                 0.264      0.078      3.396      0.001

 Y3       WITH
    Y4                 0.065      0.054      1.199      0.230

 Means
    Y1                -0.076      0.110     -0.692      0.489
    Y2                -0.074      0.111     -0.661      0.509
    Y3                -0.268      0.124     -2.168      0.030
    Y4                -0.124      0.133     -0.930      0.352

 Variances
    Y1                 0.951      0.087     10.950      0.000
    Y2                 0.951      0.089     10.679      0.000
    Y3                 0.847      0.070     12.142      0.000
    Y4                 1.095      0.101     10.787      0.000

Latent Class 3

 Y1       WITH
    Y2                 0.442      0.072      6.140      0.000
    Y3                 0.397      0.062      6.385      0.000
    Y4                 0.476      0.068      6.948      0.000

 Y2       WITH
    Y3                 0.159      0.055      2.902      0.004
    Y4                 0.264      0.078      3.396      0.001

 Y3       WITH
    Y4                 0.065      0.054      1.199      0.230

 Means
    Y1                 1.928      0.090     21.353      0.000
    Y2                 1.902      0.098     19.323      0.000
    Y3                 2.015      0.077     26.299      0.000
    Y4                 1.791      0.096     18.754      0.000

 Variances
    Y1                 0.951      0.087     10.950      0.000
    Y2                 0.951      0.089     10.679      0.000
    Y3                 0.847      0.070     12.142      0.000
    Y4                 1.095      0.101     10.787      0.000

Categorical Latent Variables

 Means
    C#1                0.027      0.135      0.197      0.844
    C#2               -0.026      0.136     -0.192      0.848


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.687E-02
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
                    1             2             3             4


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1                 5
 Y2                 6             7
 Y3                 8             9            10
 Y4                11            12            13            14


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
                   15            16            17            18


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1                 5
 Y2                 6             7
 Y3                 8             9            10
 Y4                11            12            13            14


     PARAMETER SPECIFICATION FOR LATENT CLASS 3


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
                   19            20            21            22


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1                 5
 Y2                 6             7
 Y3                 8             9            10
 Y4                11            12            13            14


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2           C#3
              ________      ________      ________
                   23            24             0


     STARTING VALUES FOR LATENT CLASS 1


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
               -1.998        -2.039        -2.033        -1.995


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1             1.822
 Y2             0.000         1.846
 Y3             0.000         0.000         1.830
 Y4             0.000         0.000         0.000         1.752


     STARTING VALUES FOR LATENT CLASS 2


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
               -1.000        -1.000        -1.000        -1.000


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1             1.822
 Y2             0.000         1.846
 Y3             0.000         0.000         1.830
 Y4             0.000         0.000         0.000         1.752


     STARTING VALUES FOR LATENT CLASS 3


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
                1.000         1.000         1.000         1.000


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1             1.822
 Y2             0.000         1.846
 Y3             0.000         0.000         1.830
 Y4             0.000         0.000         0.000         1.752


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2           C#3
              ________      ________      ________
                0.000         0.000         0.000


TECHNICAL 8 OUTPUT


  INITIAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.35248164D+04    0.0000000    0.0000000  EM
              2 -0.30801865D+04  444.6298217    0.1261427  EM
              3 -0.30744298D+04    5.7567345    0.0018690  EM
              4 -0.30715159D+04    2.9138695    0.0009478  EM
              5 -0.30696577D+04    1.8582294    0.0006050  EM
              6 -0.30682659D+04    1.3918007    0.0004534  EM
              7 -0.30670337D+04    1.2322622    0.0004016  EM
              8 -0.30658079D+04    1.2257203    0.0003996  EM
              9 -0.30645303D+04    1.2775936    0.0004167  EM
             10 -0.30631970D+04    1.3333115    0.0004351  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.10349798D+05    0.0000000    0.0000000  EM
              2 -0.31104978D+04 7239.3006622    0.6994630  EM
              3 -0.30952842D+04   15.2135212    0.0048910  EM
              4 -0.30871121D+04    8.1721285    0.0026402  EM
              5 -0.30808775D+04    6.2345924    0.0020196  EM
              6 -0.30765193D+04    4.3582544    0.0014146  EM
              7 -0.30740079D+04    2.5113941    0.0008163  EM
              8 -0.30727724D+04    1.2355011    0.0004019  EM
              9 -0.30721946D+04    0.5777734    0.0001880  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.72242094D+04    0.0000000    0.0000000  EM
              2 -0.31147600D+04 4109.4494105    0.5688442  EM
              3 -0.31123792D+04    2.3808227    0.0007644  EM
              4 -0.31118788D+04    0.5003721    0.0001608  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.85751594D+04    0.0000000    0.0000000  EM
              2 -0.31079472D+04 5467.2122143    0.6375639  EM
              3 -0.30926512D+04   15.2959878    0.0049216  EM
              4 -0.30859897D+04    6.6614822    0.0021540  EM
              5 -0.30815815D+04    4.4082466    0.0014285  EM
              6 -0.30781926D+04    3.3888513    0.0010997  EM
              7 -0.30754669D+04    2.7257173    0.0008855  EM
              8 -0.30733198D+04    2.1471300    0.0006981  EM
              9 -0.30717460D+04    1.5738127    0.0005121  EM
             10 -0.30706911D+04    1.0548702    0.0003434  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.81866494D+04    0.0000000    0.0000000  EM
              2 -0.31214502D+04 5065.1991402    0.6187146  EM
              3 -0.31153545D+04    6.0957653    0.0019529  EM
              4 -0.31133738D+04    1.9806444    0.0006358  EM
              5 -0.31123768D+04    0.9970515    0.0003202  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.10932805D+05    0.0000000    0.0000000  EM
              2 -0.31306584D+04 7802.1467374    0.7136455  EM
              3 -0.31174739D+04   13.1844829    0.0042114  EM
              4 -0.31132057D+04    4.2681942    0.0013691  EM
              5 -0.31112082D+04    1.9975015    0.0006416  EM
              6 -0.31100757D+04    1.1325274    0.0003640  EM
              7 -0.31093466D+04    0.7290474    0.0002344  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.92268518D+04    0.0000000    0.0000000  EM
              2 -0.31214986D+04 6105.3531766    0.6616941  EM
              3 -0.31155056D+04    5.9930933    0.0019199  EM
              4 -0.31134492D+04    2.0563946    0.0006601  EM
              5 -0.31122697D+04    1.1794216    0.0003788  EM
              6 -0.31114101D+04    0.8596317    0.0002762  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.10047830D+05    0.0000000    0.0000000  EM
              2 -0.31005642D+04 6947.2658753    0.6914195  EM
              3 -0.30872129D+04   13.3512949    0.0043061  EM
              4 -0.30810661D+04    6.1468522    0.0019911  EM
              5 -0.30775110D+04    3.5550404    0.0011538  EM
              6 -0.30755937D+04    1.9173733    0.0006230  EM
              7 -0.30746712D+04    0.9224623    0.0002999  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.85549723D+04    0.0000000    0.0000000  EM
              2 -0.31310943D+04 5423.8779696    0.6340030  EM
              3 -0.31189189D+04   12.1754175    0.0038886  EM
              4 -0.31151180D+04    3.8008901    0.0012187  EM
              5 -0.31132176D+04    1.9003618    0.0006100  EM
              6 -0.31119338D+04    1.2838532    0.0004124  EM
              7 -0.31108241D+04    1.1097044    0.0003566  EM
              8 -0.31096542D+04    1.1699022    0.0003761  EM
              9 -0.31082323D+04    1.4219258    0.0004573  EM
             10 -0.31063413D+04    1.8909235    0.0006084  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.68963888D+04    0.0000000    0.0000000  EM
              2 -0.31224813D+04 3773.9075293    0.5472295  EM
              3 -0.31148361D+04    7.6451967    0.0024484  EM
              4 -0.31127725D+04    2.0635895    0.0006625  EM
              5 -0.31118956D+04    0.8769102    0.0002817  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.66177275D+04    0.0000000    0.0000000  EM
              2 -0.31237016D+04 3494.0259711    0.5279797  EM
              3 -0.31119320D+04   11.7696052    0.0037678  EM
              4 -0.31067014D+04    5.2305182    0.0016808  EM
              5 -0.31023380D+04    4.3634552    0.0014045  EM
              6 -0.30975995D+04    4.7384870    0.0015274  EM
              7 -0.30922360D+04    5.3635044    0.0017315  EM
              8 -0.30867045D+04    5.5314718    0.0017888  EM
              9 -0.30819493D+04    4.7552439    0.0015406  EM
             10 -0.30786521D+04    3.2971835    0.0010698  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.12009789D+05    0.0000000    0.0000000  EM
              2 -0.31226665D+04 8887.1229803    0.7399899  EM
              3 -0.30973521D+04   25.3144213    0.0081067  EM
              4 -0.30867953D+04   10.5567666    0.0034083  EM
              5 -0.30805564D+04    6.2389260    0.0020212  EM
              6 -0.30766773D+04    3.8791302    0.0012592  EM
              7 -0.30742700D+04    2.4072761    0.0007824  EM
              8 -0.30727396D+04    1.5304072    0.0004978  EM
              9 -0.30717184D+04    1.0211956    0.0003323  EM
             10 -0.30709815D+04    0.7368844    0.0002399  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.59194952D+04    0.0000000    0.0000000  EM
              2 -0.31221802D+04 2797.3150136    0.4725597  EM
              3 -0.31149121D+04    7.2680405    0.0023279  EM
              4 -0.31132366D+04    1.6754885    0.0005379  EM
              5 -0.31126038D+04    0.6327826    0.0002033  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.70386219D+04    0.0000000    0.0000000  EM
              2 -0.31120217D+04 3926.6002837    0.5578649  EM
              3 -0.31120180D+04    0.0036898    0.0000012  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.84121134D+04    0.0000000    0.0000000  EM
              2 -0.31071099D+04 5305.0034286    0.6306386  EM
              3 -0.30914988D+04   15.6110935    0.0050243  EM
              4 -0.30849223D+04    6.5764969    0.0021273  EM
              5 -0.30809175D+04    4.0048308    0.0012982  EM
              6 -0.30782893D+04    2.6281942    0.0008531  EM
              7 -0.30764852D+04    1.8041308    0.0005861  EM
              8 -0.30751814D+04    1.3037802    0.0004238  EM
              9 -0.30742210D+04    0.9603590    0.0003123  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.84960663D+04    0.0000000    0.0000000  EM
              2 -0.31021353D+04 5393.9309482    0.6348739  EM
              3 -0.30887446D+04   13.3907566    0.0043166  EM
              4 -0.30831660D+04    5.5785973    0.0018061  EM
              5 -0.30791728D+04    3.9931744    0.0012952  EM
              6 -0.30759687D+04    3.2041371    0.0010406  EM
              7 -0.30735398D+04    2.4288579    0.0007896  EM
              8 -0.30718724D+04    1.6674164    0.0005425  EM
              9 -0.30708088D+04    1.0635699    0.0003462  EM
             10 -0.30701487D+04    0.6601007    0.0002150  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.83522485D+04    0.0000000    0.0000000  EM
              2 -0.31077845D+04 5244.4639843    0.6279104  EM
              3 -0.30911373D+04   16.6472024    0.0053566  EM
              4 -0.30845729D+04    6.5644189    0.0021236  EM
              5 -0.30803946D+04    4.1782837    0.0013546  EM
              6 -0.30773480D+04    3.0465660    0.0009890  EM
              7 -0.30750847D+04    2.2633030    0.0007355  EM
              8 -0.30734359D+04    1.6488034    0.0005362  EM
              9 -0.30722751D+04    1.1608412    0.0003777  EM
             10 -0.30714862D+04    0.7888445    0.0002568  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.12633474D+05    0.0000000    0.0000000  EM
              2 -0.30929026D+04 9540.5712372    0.7551819  EM
              3 -0.30806941D+04   12.2085483    0.0039473  EM
              4 -0.30767033D+04    3.9907386    0.0012954  EM
              5 -0.30747288D+04    1.9745205    0.0006418  EM
              6 -0.30735857D+04    1.1431392    0.0003718  EM
              7 -0.30728531D+04    0.7326180    0.0002384  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.56350022D+04    0.0000000    0.0000000  EM
              2 -0.30882146D+04 2546.7875261    0.4519586  EM
              3 -0.30827330D+04    5.4816781    0.0017750  EM
              4 -0.30809283D+04    1.8046361    0.0005854  EM
              5 -0.30797126D+04    1.2157190    0.0003946  EM
              6 -0.30786679D+04    1.0446654    0.0003392  EM
              7 -0.30777051D+04    0.9628840    0.0003128  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.87542553D+04    0.0000000    0.0000000  EM
              2 -0.31176771D+04 5636.5782117    0.6438672  EM
              3 -0.31059328D+04   11.7443168    0.0037670  EM
              4 -0.31011527D+04    4.7800374    0.0015390  EM
              5 -0.30973639D+04    3.7888312    0.0012217  EM
              6 -0.30935353D+04    3.8286263    0.0012361  EM
              7 -0.30895771D+04    3.9581681    0.0012795  EM
              8 -0.30857776D+04    3.7994994    0.0012298  EM
              9 -0.30824902D+04    3.2874205    0.0010653  EM
             10 -0.30798812D+04    2.6089646    0.0008464  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.81594803D+04    0.0000000    0.0000000  EM
              2 -0.31181874D+04 5041.2928863    0.6178449  EM
              3 -0.31133444D+04    4.8429830    0.0015531  EM
              4 -0.31122851D+04    1.0593088    0.0003402  EM
              5 -0.31119076D+04    0.3774709    0.0001213  EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET


             10 -0.30631970D+04    1.3333115    0.0004351  EM
             11 -0.30618375D+04    1.3594771    0.0004438  EM
             12 -0.30605029D+04    1.3346217    0.0004359  EM
             13 -0.30592549D+04    1.2480723    0.0004078  EM
             14 -0.30581529D+04    1.1019652    0.0003602  EM
             15 -0.30572401D+04    0.9127963    0.0002985  EM
             16 -0.30565322D+04    0.7078730    0.0002315  EM
             17 -0.30560161D+04    0.5161455    0.0001689  EM
             18 -0.30556583D+04    0.3577664    0.0001171  EM
             19 -0.30554189D+04    0.2393745    0.0000783  EM
             20 -0.30552619D+04    0.1570352    0.0000514  EM
             21 -0.30551596D+04    0.1022828    0.0000335  EM
             22 -0.30550929D+04    0.0666732    0.0000218  EM
             23 -0.30550493D+04    0.0436611    0.0000143  EM
             24 -0.30550205D+04    0.0287534    0.0000094  EM
             25 -0.30550015D+04    0.0190410    0.0000062  EM
             26 -0.30549888D+04    0.0126646    0.0000041  EM
             27 -0.30549804D+04    0.0084551    0.0000028  EM
             28 -0.30549747D+04    0.0056609    0.0000019  EM
             29 -0.30549709D+04    0.0037983    0.0000012  EM
             30 -0.30549684D+04    0.0025531    0.0000008  EM
             31 -0.30549666D+04    0.0017182    0.0000006  EM
             32 -0.30549655D+04    0.0011576    0.0000004  EM
             33 -0.30549647D+04    0.0007804    0.0000003  EM
             34 -0.30549642D+04    0.0005264    0.0000002  EM
             35 -0.30549632D+04    0.0009615    0.0000003  FS
             36 -0.30549631D+04    0.0001109    0.0000000  FS
             37 -0.30549631D+04    0.0000176    0.0000000  FS
             38 -0.30549631D+04    0.0000032    0.0000000  FS
             39 -0.30549631D+04    0.0000006    0.0000000  FS
             40 -0.30549631D+04    0.0000001    0.0000000  FS
             41 -0.30549631D+04    0.0000000    0.0000000  FS
             42 -0.30549631D+04    0.0000000    0.0000000  EM
             43 -0.30549631D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15


             10 -0.30701487D+04    0.6601007    0.0002150  EM
             11 -0.30697370D+04    0.4117299    0.0001341  EM
             12 -0.30694755D+04    0.2614576    0.0000852  EM
             13 -0.30693058D+04    0.1697228    0.0000553  EM
             14 -0.30691927D+04    0.1130772    0.0000368  EM
             15 -0.30691149D+04    0.0778083    0.0000254  EM
             16 -0.30690592D+04    0.0556721    0.0000181  EM
             17 -0.30690176D+04    0.0416207    0.0000136  EM
             18 -0.30689851D+04    0.0325238    0.0000106  EM
             19 -0.30689586D+04    0.0264629    0.0000086  EM
             20 -0.30689364D+04    0.0222665    0.0000073  EM
             21 -0.30689171D+04    0.0192240    0.0000063  EM
             22 -0.30689002D+04    0.0169094    0.0000055  EM
             23 -0.30688852D+04    0.0150655    0.0000049  EM
             24 -0.30688716D+04    0.0135393    0.0000044  EM
             25 -0.30688594D+04    0.0122368    0.0000040  EM
             26 -0.30688483D+04    0.0111011    0.0000036  EM
             27 -0.30688382D+04    0.0100959    0.0000033  EM
             28 -0.30688290D+04    0.0091974    0.0000030  EM
             29 -0.30688206D+04    0.0083893    0.0000027  EM
             30 -0.30688129D+04    0.0076598    0.0000025  EM
             31 -0.30688059D+04    0.0069997    0.0000023  EM
             32 -0.30687995D+04    0.0064015    0.0000021  EM
             33 -0.30687937D+04    0.0058590    0.0000019  EM
             34 -0.30687883D+04    0.0053666    0.0000017  EM
             35 -0.30687834D+04    0.0049195    0.0000016  EM
             36 -0.30687436D+04    0.0397970    0.0000130  FS
             37 -0.30687362D+04    0.0074244    0.0000024  FS
             38 -0.30687319D+04    0.0042798    0.0000014  EM
             39 -0.30687297D+04    0.0021835    0.0000007  EM
             40 -0.30687283D+04    0.0014146    0.0000005  EM
             41 -0.30687273D+04    0.0009700    0.0000003  EM
             42 -0.30687266D+04    0.0007039    0.0000002  EM
             43 -0.30687261D+04    0.0005387    0.0000002  EM
             44 -0.30687257D+04    0.0004326    0.0000001  EM
             45 -0.30687253D+04    0.0003617    0.0000001  EM
             46 -0.30687250D+04    0.0003120    0.0000001  EM
             47 -0.30687247D+04    0.0002757    0.0000001  EM
             48 -0.30687245D+04    0.0002479    0.0000001  EM
             49 -0.30687242D+04    0.0002257    0.0000001  EM
             50 -0.30687240D+04    0.0002073    0.0000001  EM
             51 -0.30687238D+04    0.0001916    0.0000001  EM
             52 -0.30687237D+04    0.0001779    0.0000001  EM
             53 -0.30687235D+04    0.0001657    0.0000001  EM
             54 -0.30687233D+04    0.0001547    0.0000001  EM
             55 -0.30687232D+04    0.0001446    0.0000000  EM
             56 -0.30687231D+04    0.0001354    0.0000000  EM
             57 -0.30687229D+04    0.0001268    0.0000000  EM
             58 -0.30687228D+04    0.0001190    0.0000000  EM
             59 -0.30687227D+04    0.0001116    0.0000000  EM
             60 -0.30687226D+04    0.0001048    0.0000000  EM
             61 -0.30687225D+04    0.0000985    0.0000000  EM
             62 -0.30687224D+04    0.0000925    0.0000000  EM
             63 -0.30687223D+04    0.0000870    0.0000000  EM
             64 -0.30687222D+04    0.0000818    0.0000000  EM
             65 -0.30687222D+04    0.0000770    0.0000000  EM
             66 -0.30687221D+04    0.0000725    0.0000000  EM
             67 -0.30687220D+04    0.0000682    0.0000000  EM
             68 -0.30687220D+04    0.0000643    0.0000000  EM
             69 -0.30687219D+04    0.0000605    0.0000000  EM
             70 -0.30687218D+04    0.0000570    0.0000000  EM
             71 -0.30687218D+04    0.0000538    0.0000000  EM
             72 -0.30687217D+04    0.0000507    0.0000000  EM
             73 -0.30687217D+04    0.0000478    0.0000000  EM
             74 -0.30687216D+04    0.0000451    0.0000000  EM
             75 -0.30687216D+04    0.0000425    0.0000000  EM
             76 -0.30687216D+04    0.0000401    0.0000000  EM
             77 -0.30687215D+04    0.0000379    0.0000000  EM
             78 -0.30687209D+04    0.0006626    0.0000002  QN
             79 -0.30687209D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


             10 -0.30706911D+04    1.0548702    0.0003434  EM
             11 -0.30700315D+04    0.6595918    0.0002148  EM
             12 -0.30696318D+04    0.3996697    0.0001302  EM
             13 -0.30693886D+04    0.2432812    0.0000793  EM
             14 -0.30692361D+04    0.1524738    0.0000497  EM
             15 -0.30691364D+04    0.0997094    0.0000325  EM
             16 -0.30690679D+04    0.0684326    0.0000223  EM
             17 -0.30690186D+04    0.0493520    0.0000161  EM
             18 -0.30689813D+04    0.0373210    0.0000122  EM
             19 -0.30689518D+04    0.0294529    0.0000096  EM
             20 -0.30689277D+04    0.0241023    0.0000079  EM
             21 -0.30689074D+04    0.0203036    0.0000066  EM
             22 -0.30688899D+04    0.0174902    0.0000057  EM
             23 -0.30688746D+04    0.0153174    0.0000050  EM
             24 -0.30688610D+04    0.0135771    0.0000044  EM
             25 -0.30688489D+04    0.0121386    0.0000040  EM
             26 -0.30688380D+04    0.0109196    0.0000036  EM
             27 -0.30688281D+04    0.0098671    0.0000032  EM
             28 -0.30688192D+04    0.0089448    0.0000029  EM
             29 -0.30688110D+04    0.0081286    0.0000026  EM
             30 -0.30688036D+04    0.0074006    0.0000024  EM
             31 -0.30687969D+04    0.0067478    0.0000022  EM
             32 -0.30687907D+04    0.0061599    0.0000020  EM
             33 -0.30687851D+04    0.0056290    0.0000018  EM
             34 -0.30687799D+04    0.0051483    0.0000017  EM
             35 -0.30687752D+04    0.0047124    0.0000015  EM
             36 -0.30687464D+04    0.0288498    0.0000094  FS
             37 -0.30687441D+04    0.0022444    0.0000007  FS
             38 -0.30687379D+04    0.0062507    0.0000020  EM
             39 -0.30687349D+04    0.0030308    0.0000010  EM
             40 -0.30687328D+04    0.0020917    0.0000007  EM
             41 -0.30687312D+04    0.0015341    0.0000005  EM
             42 -0.30687300D+04    0.0011832    0.0000004  EM
             43 -0.30687291D+04    0.0009515    0.0000003  EM
             44 -0.30687283D+04    0.0007923    0.0000003  EM
             45 -0.30687276D+04    0.0006765    0.0000002  EM
             46 -0.30687270D+04    0.0005901    0.0000002  EM
             47 -0.30687265D+04    0.0005225    0.0000002  EM
             48 -0.30687260D+04    0.0004678    0.0000002  EM
             49 -0.30687256D+04    0.0004221    0.0000001  EM
             50 -0.30687252D+04    0.0003831    0.0000001  EM
             51 -0.30687249D+04    0.0003491    0.0000001  EM
             52 -0.30687246D+04    0.0003190    0.0000001  EM
             53 -0.30687243D+04    0.0002921    0.0000001  EM
             54 -0.30687240D+04    0.0002678    0.0000001  EM
             55 -0.30687238D+04    0.0002459    0.0000001  EM
             56 -0.30687235D+04    0.0002259    0.0000001  EM
             57 -0.30687233D+04    0.0002076    0.0000001  EM
             58 -0.30687231D+04    0.0001910    0.0000001  EM
             59 -0.30687230D+04    0.0001757    0.0000001  EM
             60 -0.30687228D+04    0.0001617    0.0000001  EM
             61 -0.30687227D+04    0.0001488    0.0000000  EM
             62 -0.30687225D+04    0.0001371    0.0000000  EM
             63 -0.30687224D+04    0.0001262    0.0000000  EM
             64 -0.30687223D+04    0.0001163    0.0000000  EM
             65 -0.30687222D+04    0.0001072    0.0000000  EM
             66 -0.30687221D+04    0.0000988    0.0000000  EM
             67 -0.30687220D+04    0.0000911    0.0000000  EM
             68 -0.30687219D+04    0.0000840    0.0000000  EM
             69 -0.30687218D+04    0.0000774    0.0000000  EM
             70 -0.30687217D+04    0.0000714    0.0000000  EM
             71 -0.30687217D+04    0.0000659    0.0000000  EM
             72 -0.30687216D+04    0.0000608    0.0000000  EM
             73 -0.30687216D+04    0.0000562    0.0000000  EM
             74 -0.30687215D+04    0.0000518    0.0000000  EM
             75 -0.30687215D+04    0.0000479    0.0000000  EM
             76 -0.30687214D+04    0.0000442    0.0000000  EM
             77 -0.30687209D+04    0.0005683    0.0000002  QN
             78 -0.30687209D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11


             10 -0.30709815D+04    0.7368844    0.0002399  EM
             11 -0.30703874D+04    0.5941049    0.0001935  EM
             12 -0.30698493D+04    0.5381446    0.0001753  EM
             13 -0.30693159D+04    0.5333264    0.0001737  EM
             14 -0.30687573D+04    0.5586399    0.0001820  EM
             15 -0.30681543D+04    0.6030253    0.0001965  EM
             16 -0.30674931D+04    0.6611438    0.0002155  EM
             17 -0.30667628D+04    0.7303685    0.0002381  EM
             18 -0.30659541D+04    0.8086769    0.0002637  EM
             19 -0.30650610D+04    0.8930539    0.0002913  EM
             20 -0.30640827D+04    0.9782816    0.0003192  EM
             21 -0.30630267D+04    1.0559908    0.0003446  EM
             22 -0.30619122D+04    1.1145135    0.0003639  EM
             23 -0.30607721D+04    1.1401606    0.0003724  EM
             24 -0.30596521D+04    1.1199879    0.0003659  EM
             25 -0.30586056D+04    1.0465340    0.0003420  EM
             26 -0.30576830D+04    0.9225980    0.0003016  EM
             27 -0.30569195D+04    0.7634708    0.0002497  EM
             28 -0.30563263D+04    0.5932070    0.0001941  EM
             29 -0.30558906D+04    0.4356399    0.0001425  EM
             30 -0.30555847D+04    0.3059579    0.0001001  EM
             31 -0.30553763D+04    0.2083690    0.0000682  EM
             32 -0.30552370D+04    0.1393472    0.0000456  EM
             33 -0.30551446D+04    0.0923690    0.0000302  EM
             34 -0.30550835D+04    0.0610474    0.0000200  EM
             35 -0.30550432D+04    0.0403545    0.0000132  EM
             36 -0.30549735D+04    0.0696714    0.0000228  FS
             37 -0.30549648D+04    0.0086957    0.0000028  FS
             38 -0.30549634D+04    0.0014130    0.0000005  FS
             39 -0.30549632D+04    0.0002567    0.0000001  FS
             40 -0.30549631D+04    0.0000533    0.0000000  FS
             41 -0.30549631D+04    0.0000136    0.0000000  FS
             42 -0.30549631D+04    0.0000047    0.0000000  FS
             43 -0.30549631D+04    0.0000020    0.0000000  FS
             44 -0.30549631D+04    0.0000010    0.0000000  FS
             45 -0.30549631D+04    0.0000005    0.0000000  FS
             46 -0.30549631D+04    0.0000003    0.0000000  FS
             47 -0.30549631D+04    0.0000002    0.0000000  FS
             48 -0.30549631D+04    0.0000001    0.0000000  FS
             49 -0.30549631D+04    0.0000001    0.0000000  EM
             50 -0.30549631D+04    0.0000000    0.0000000  EM
             51 -0.30549631D+04    0.0000000    0.0000000  EM


     Beginning Time:  23:13:08
        Ending Time:  23:13:09
       Elapsed Time:  00:00:01



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