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

INPUT INSTRUCTIONS

  TITLE:	this is an example of a LCA with binary latent class indicators
  using automatic starting values with random starts
  with a covariate and a direct effect
  DATA:	FILE IS ex7.12.dat;
  VARIABLE:	NAMES ARE u1-u4 x;
  	CLASSES = c (2);
  	CATEGORICAL = u1-u4;
  ANALYSIS:	TYPE = MIXTURE;
  MODEL:	
  	%OVERALL%
  	c ON x;
  	u4 ON x;
  OUTPUT:	TECH1 TECH8;




INPUT READING TERMINATED NORMALLY



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

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                    4
Number of independent variables                                  1
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 independent variables
   X

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)
  ex7.12.dat
Input data format  FREE


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1
      Category 1    0.490          245.000
      Category 2    0.510          255.000
    U2
      Category 1    0.476          238.000
      Category 2    0.524          262.000
    U3
      Category 1    0.514          257.000
      Category 2    0.486          243.000
    U4
      Category 1    0.536          268.000
      Category 2    0.464          232.000



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

     X                    -0.072       0.024      -3.054    0.20%      -0.919     -0.400     -0.082
             500.000       1.014      -0.176       3.571    0.20%       0.226      0.779

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:

           -1255.396  253358           2
           -1255.396  68985            17
           -1255.396  650371           14
           -1255.396  unperturbed      0



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                       11

Loglikelihood

          H0 Value                       -1255.396
          H0 Scaling Correction Factor      0.9995
            for MLR

Information Criteria

          Akaike (AIC)                    2532.793
          Bayesian (BIC)                  2579.153
          Sample-Size Adjusted BIC        2544.239
            (n* = (n + 2) / 24)



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

    Latent
   Classes

       1        250.72347          0.50145
       2        249.27653          0.49855


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

    Latent
   Classes

       1        250.72342          0.50145
       2        249.27658          0.49855


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

Class Counts and Proportions

    Latent
   Classes

       1              252          0.50400
       2              248          0.49600


CLASSIFICATION QUALITY

     Entropy                         0.586


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

           1        2

    1   0.878    0.122
    2   0.118    0.882


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

           1        2

    1   0.883    0.117
    2   0.123    0.877


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

              1        2

    1      2.019    0.000
    2     -1.964    0.000


MODEL RESULTS

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

Latent Class 1

 U4         ON
    X                  0.579      0.128      4.510      0.000

 Thresholds
    U1$1              -1.452      0.291     -4.985      0.000
    U2$1              -1.172      0.217     -5.389      0.000
    U3$1               1.083      0.201      5.399      0.000
    U4$1               0.958      0.202      4.752      0.000

Latent Class 2

 U4         ON
    X                  0.579      0.128      4.510      0.000

 Thresholds
    U1$1               1.337      0.245      5.447      0.000
    U2$1               0.929      0.197      4.705      0.000
    U3$1              -0.946      0.205     -4.621      0.000
    U4$1              -0.663      0.212     -3.129      0.002

Categorical Latent Variables

 C#1        ON
    X                 -1.025      0.151     -6.787      0.000

 Intercepts
    C#1               -0.067      0.239     -0.279      0.780


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.762E-01
       (ratio of smallest to largest eigenvalue)


RESULTS IN PROBABILITY SCALE

                    Estimate

Latent Class 1

 U1
    Category 1         0.190
    Category 2         0.810
 U2
    Category 1         0.237
    Category 2         0.763
 U3
    Category 1         0.747
    Category 2         0.253
 U4
    Category 1         0.765
    Category 2         0.235

Latent Class 2

 U1
    Category 1         0.792
    Category 2         0.208
 U2
    Category 1         0.717
    Category 2         0.283
 U3
    Category 1         0.280
    Category 2         0.720
 U4
    Category 1         0.306
    Category 2         0.694


LATENT CLASS INDICATOR ODDS RATIOS FOR THE LATENT CLASSES

                                                95% C.I.
                    Estimate       S.E.  Lower 2.5% Upper 2.5%

Latent Class 1 Compared to Latent Class 2

 U1
    Category > 1      16.260      5.799      8.082     32.711
 U2
    Category > 1       8.169      2.323      4.678     14.264
 U3
    Category > 1       0.131      0.037      0.076      0.227
 U4
    Category > 1       0.198      0.062      0.107      0.367


LOGISTIC REGRESSION ODDS RATIO RESULTS

                                                95% C.I.
                    Estimate       S.E.  Lower 2.5% Upper 2.5%

Latent Class 1

 U4         ON
    X                  1.784      0.229      1.387      2.293

Latent Class 2

 U4         ON
    X                  1.784      0.229      1.387      2.293

Categorical Latent Variables

 C#1      ON
    X                  0.359      0.054      0.267      0.482


ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION

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

Parameterization using Reference Class 1

 C#2      ON
    X                  1.025      0.151      6.787      0.000

 Intercepts
    C#2                0.067      0.239      0.279      0.780


ODDS RATIO FOR THE ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION

                                                95% C.I.
                    Estimate       S.E.  Lower 2.5% Upper 2.5%

Parameterization using Reference Class 1

 C#2      ON
    X                  2.786      0.421      2.073      3.746


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


           NU
              X
              ________
                    0


           LAMBDA
              X
              ________
 X                  0


           THETA
              X
              ________
 X                  0


           ALPHA
              X
              ________
                    0


           BETA
              X
              ________
 X                  0


           PSI
              X
              ________
 X                  0


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


           NU
              X
              ________
                    0


           LAMBDA
              X
              ________
 X                  0


           THETA
              X
              ________
 X                  0


           ALPHA
              X
              ________
                    0


           BETA
              X
              ________
 X                  0


           PSI
              X
              ________
 X                  0


     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


           KAPPA(U) FOR LATENT CLASS 1
              X
              ________
 U1                 0
 U2                 0
 U3                 0
 U4                 9


           KAPPA(U) FOR LATENT CLASS 2
              X
              ________
 U1                 0
 U2                 0
 U3                 0
 U4                 9


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


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


           GAMMA(C)
              X
              ________
 C#1               11
 C#2                0


     STARTING VALUES FOR LATENT CLASS 1


           NU
              X
              ________
                0.000


           LAMBDA
              X
              ________
 X              1.000


           THETA
              X
              ________
 X              0.000


           ALPHA
              X
              ________
                0.000


           BETA
              X
              ________
 X              0.000


           PSI
              X
              ________
 X              0.507


     STARTING VALUES FOR LATENT CLASS 2


           NU
              X
              ________
                0.000


           LAMBDA
              X
              ________
 X              1.000


           THETA
              X
              ________
 X              0.000


           ALPHA
              X
              ________
                0.000


           BETA
              X
              ________
 X              0.000


           PSI
              X
              ________
 X              0.507


     STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART


           LAMBDA(U)
              C#1           C#2
              ________      ________
 U1             1.040        -0.960
 U2             1.096        -0.904
 U3             0.944        -1.056
 U4             0.856        -1.144


           KAPPA(U) FOR LATENT CLASS 1
              X
              ________
 U1             0.000
 U2             0.000
 U3             0.000
 U4             0.000


           KAPPA(U) FOR LATENT CLASS 2
              X
              ________
 U1             0.000
 U2             0.000
 U3             0.000
 U4             0.000


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


           GAMMA(C)
              X
              ________
 C#1            0.000
 C#2            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 -0.14760069D+04    0.0000000    0.0000000  EM
              2 -0.13584965D+04  117.5104070    0.0796137  EM
              3 -0.13484955D+04   10.0009940    0.0073618  EM
              4 -0.13394010D+04    9.0945362    0.0067442  EM
              5 -0.13219119D+04   17.4891169    0.0130574  EM
              6 -0.12931851D+04   28.7268123    0.0217313  EM
              7 -0.12680070D+04   25.1781079    0.0194698  EM
              8 -0.12579493D+04   10.0576272    0.0079318  EM
              9 -0.12558278D+04    2.1215692    0.0016865  EM
             10 -0.12554827D+04    0.3450390    0.0002748  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.16899513D+04    0.0000000    0.0000000  EM
              2 -0.14283207D+04  261.6306821    0.1548155  EM
              3 -0.13099051D+04  118.4155787    0.0829055  EM
              4 -0.12981255D+04   11.7796084    0.0089927  EM
              5 -0.12869226D+04   11.2028539    0.0086300  EM
              6 -0.12764270D+04   10.4955747    0.0081556  EM
              7 -0.12680295D+04    8.3975741    0.0065790  EM
              8 -0.12629478D+04    5.0816396    0.0040075  EM
              9 -0.12603667D+04    2.5811377    0.0020437  EM
             10 -0.12590084D+04    1.3582849    0.0010777  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.26778137D+04    0.0000000    0.0000000  EM
              2 -0.12569082D+04 1420.9054722    0.5306215  EM
              3 -0.12559636D+04    0.9446035    0.0007515  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.23839341D+04    0.0000000    0.0000000  EM
              2 -0.13036741D+04 1080.2600515    0.4531417  EM
              3 -0.12779619D+04   25.7121736    0.0197229  EM
              4 -0.12666371D+04   11.3247706    0.0088616  EM
              5 -0.12618547D+04    4.7823992    0.0037757  EM
              6 -0.12594977D+04    2.3570784    0.0018679  EM
              7 -0.12582376D+04    1.2600550    0.0010004  EM
              8 -0.12575010D+04    0.7365797    0.0005854  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.21758986D+04    0.0000000    0.0000000  EM
              2 -0.13347921D+04  841.1064246    0.3865559  EM
              3 -0.13182726D+04   16.5195289    0.0123761  EM
              4 -0.13044706D+04   13.8020386    0.0104698  EM
              5 -0.12931925D+04   11.2780111    0.0086457  EM
              6 -0.12834879D+04    9.7046436    0.0075044  EM
              7 -0.12758981D+04    7.5898067    0.0059134  EM
              8 -0.12708242D+04    5.0738526    0.0039767  EM
              9 -0.12674814D+04    3.3428422    0.0026305  EM
             10 -0.12650642D+04    2.4171560    0.0019071  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.18628104D+04    0.0000000    0.0000000  EM
              2 -0.13611453D+04  501.6650407    0.2693055  EM
              3 -0.13464859D+04   14.6594388    0.0107699  EM
              4 -0.13428529D+04    3.6329436    0.0026981  EM
              5 -0.13365124D+04    6.3405536    0.0047217  EM
              6 -0.13249358D+04   11.5766268    0.0086618  EM
              7 -0.13088976D+04   16.0381858    0.0121049  EM
              8 -0.12936586D+04   15.2390112    0.0116426  EM
              9 -0.12822552D+04   11.4033755    0.0088148  EM
             10 -0.12746239D+04    7.6312561    0.0059514  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.28412652D+04    0.0000000    0.0000000  EM
              2 -0.13641712D+04 1477.0939968    0.5198719  EM
              3 -0.13544758D+04    9.6954486    0.0071072  EM
              4 -0.13504224D+04    4.0533957    0.0029926  EM
              5 -0.13484897D+04    1.9326962    0.0014312  EM
              6 -0.13474170D+04    1.0726244    0.0007954  EM
              7 -0.13465468D+04    0.8702485    0.0006459  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.20392539D+04    0.0000000    0.0000000  EM
              2 -0.12666811D+04  772.5727652    0.3788507  EM
              3 -0.12633214D+04    3.3597332    0.0026524  EM
              4 -0.12620526D+04    1.2687541    0.0010043  EM
              5 -0.12610149D+04    1.0377417    0.0008223  EM
              6 -0.12600822D+04    0.9326435    0.0007396  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.20566136D+04    0.0000000    0.0000000  EM
              2 -0.13336345D+04  722.9791578    0.3515386  EM
              3 -0.13000355D+04   33.5989683    0.0251935  EM
              4 -0.12831087D+04   16.9267563    0.0130202  EM
              5 -0.12775181D+04    5.5905992    0.0043571  EM
              6 -0.12752735D+04    2.2446654    0.0017571  EM
              7 -0.12728072D+04    2.4662812    0.0019339  EM
              8 -0.12696700D+04    3.1371490    0.0024647  EM
              9 -0.12664248D+04    3.2452798    0.0025560  EM
             10 -0.12636805D+04    2.7442945    0.0021670  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.23517241D+04    0.0000000    0.0000000  EM
              2 -0.13211183D+04 1030.6058071    0.4382341  EM
              3 -0.12968944D+04   24.2239147    0.0183359  EM
              4 -0.12867424D+04   10.1520413    0.0078280  EM
              5 -0.12834632D+04    3.2791875    0.0025484  EM
              6 -0.12813700D+04    2.0931749    0.0016309  EM
              7 -0.12790233D+04    2.3466686    0.0018314  EM
              8 -0.12761987D+04    2.8246778    0.0022085  EM
              9 -0.12731596D+04    3.0390341    0.0023813  EM
             10 -0.12702967D+04    2.8629081    0.0022487  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.30390340D+04    0.0000000    0.0000000  EM
              2 -0.13310512D+04 1707.9827973    0.5620150  EM
              3 -0.12986706D+04   32.3805984    0.0243271  EM
              4 -0.12804719D+04   18.1986824    0.0140133  EM
              5 -0.12721274D+04    8.3445605    0.0065168  EM
              6 -0.12672951D+04    4.8322711    0.0037986  EM
              7 -0.12639552D+04    3.3398929    0.0026355  EM
              8 -0.12617354D+04    2.2197603    0.0017562  EM
              9 -0.12602514D+04    1.4840253    0.0011762  EM
             10 -0.12591963D+04    1.0551393    0.0008372  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.17509453D+04    0.0000000    0.0000000  EM
              2 -0.13716698D+04  379.2754322    0.2166118  EM
              3 -0.13507144D+04   20.9554513    0.0152773  EM
              4 -0.13419874D+04    8.7270330    0.0064610  EM
              5 -0.13296339D+04   12.3534224    0.0092053  EM
              6 -0.13077866D+04   21.8473471    0.0164311  EM
              7 -0.12819234D+04   25.8632122    0.0197763  EM
              8 -0.12654300D+04   16.4934121    0.0128661  EM
              9 -0.12591789D+04    6.2510518    0.0049399  EM
             10 -0.12572989D+04    1.8800445    0.0014931  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.16738751D+04    0.0000000    0.0000000  EM
              2 -0.13425885D+04  331.2866479    0.1979160  EM
              3 -0.13075028D+04   35.0856578    0.0261328  EM
              4 -0.12811997D+04   26.3031249    0.0201171  EM
              5 -0.12666856D+04   14.5141574    0.0113286  EM
              6 -0.12602559D+04    6.4296418    0.0050760  EM
              7 -0.12575511D+04    2.7048299    0.0021463  EM
              8 -0.12564586D+04    1.0924665    0.0008687  EM
              9 -0.12560074D+04    0.4512023    0.0003591  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.18876945D+04    0.0000000    0.0000000  EM
              2 -0.12724349D+04  615.2595977    0.3259318  EM
              3 -0.12635886D+04    8.8463356    0.0069523  EM
              4 -0.12612027D+04    2.3858771    0.0018882  EM
              5 -0.12599294D+04    1.2733668    0.0010096  EM
              6 -0.12590663D+04    0.8630870    0.0006850  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.30554903D+04    0.0000000    0.0000000  EM
              2 -0.13122103D+04 1743.2799872    0.5705402  EM
              3 -0.12693338D+04   42.8765030    0.0326750  EM
              4 -0.12586986D+04   10.6351886    0.0083786  EM
              5 -0.12562176D+04    2.4810428    0.0019711  EM
              6 -0.12556436D+04    0.5739792    0.0004569  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.19361400D+04    0.0000000    0.0000000  EM
              2 -0.15997054D+04  336.4346287    0.1737656  EM
              3 -0.12692153D+04  330.4901207    0.2065944  EM
              4 -0.12625110D+04    6.7042815    0.0052822  EM
              5 -0.12594567D+04    3.0542752    0.0024192  EM
              6 -0.12577661D+04    1.6906678    0.0013424  EM
              7 -0.12568677D+04    0.8983337    0.0007142  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.17899324D+04    0.0000000    0.0000000  EM
              2 -0.13550714D+04  434.8610563    0.2429483  EM
              3 -0.13398817D+04   15.1896621    0.0112095  EM
              4 -0.13271978D+04   12.6839256    0.0094665  EM
              5 -0.13120653D+04   15.1324811    0.0114018  EM
              6 -0.12944161D+04   17.6491543    0.0134514  EM
              7 -0.12774293D+04   16.9868689    0.0131232  EM
              8 -0.12650537D+04   12.3755472    0.0096879  EM
              9 -0.12587506D+04    6.3030837    0.0049825  EM
             10 -0.12564893D+04    2.2613711    0.0017965  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.35687975D+04    0.0000000    0.0000000  EM
              2 -0.13252714D+04 2243.5261533    0.6286504  EM
              3 -0.13045443D+04   20.7271244    0.0156399  EM
              4 -0.12912838D+04   13.2604794    0.0101648  EM
              5 -0.12789552D+04   12.3286208    0.0095476  EM
              6 -0.12678168D+04   11.1383804    0.0087090  EM
              7 -0.12607277D+04    7.0890563    0.0055915  EM
              8 -0.12574907D+04    3.2370536    0.0025676  EM
              9 -0.12562843D+04    1.2064151    0.0009594  EM
             10 -0.12558483D+04    0.4359420    0.0003470  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.30584163D+04    0.0000000    0.0000000  EM
              2 -0.13224402D+04 1735.9761010    0.5676062  EM
              3 -0.12958038D+04   26.6364048    0.0201419  EM
              4 -0.12816570D+04   14.1467541    0.0109174  EM
              5 -0.12769608D+04    4.6962310    0.0036642  EM
              6 -0.12747030D+04    2.2578275    0.0017681  EM
              7 -0.12727505D+04    1.9524744    0.0015317  EM
              8 -0.12707887D+04    1.9617731    0.0015414  EM
              9 -0.12688626D+04    1.9261152    0.0015157  EM
             10 -0.12670676D+04    1.7950133    0.0014147  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.28308308D+04    0.0000000    0.0000000  EM
              2 -0.13369627D+04 1493.8680723    0.5277137  EM
              3 -0.12945307D+04   42.4320584    0.0317377  EM
              4 -0.12807369D+04   13.7938346    0.0106555  EM
              5 -0.12738260D+04    6.9108330    0.0053960  EM
              6 -0.12681265D+04    5.6995382    0.0044743  EM
              7 -0.12636940D+04    4.4324515    0.0034953  EM
              8 -0.12607364D+04    2.9576362    0.0023405  EM
              9 -0.12589519D+04    1.7845128    0.0014155  EM
             10 -0.12579000D+04    1.0519022    0.0008355  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.19779413D+04    0.0000000    0.0000000  EM
              2 -0.13488396D+04  629.1017485    0.3180589  EM
              3 -0.13023983D+04   46.4412457    0.0344305  EM
              4 -0.12808858D+04   21.5124856    0.0165176  EM
              5 -0.12701371D+04   10.7487369    0.0083916  EM
              6 -0.12640735D+04    6.0635517    0.0047739  EM
              7 -0.12606391D+04    3.4344895    0.0027170  EM
              8 -0.12587524D+04    1.8866391    0.0014966  EM
              9 -0.12577070D+04    1.0454638    0.0008306  EM
             10 -0.12570886D+04    0.6183810    0.0004917  EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET


             10 -0.12554827D+04    0.3450390    0.0002748  EM
             11 -0.12554182D+04    0.0645112    0.0000514  EM
             12 -0.12554027D+04    0.0155500    0.0000124  EM
             13 -0.12553983D+04    0.0043822    0.0000035  EM
             14 -0.12553970D+04    0.0013353    0.0000011  EM
             15 -0.12553965D+04    0.0004285    0.0000003  EM
             16 -0.12553964D+04    0.0001440    0.0000001  EM
             17 -0.12553963D+04    0.0000506    0.0000000  EM
             18 -0.12553963D+04    0.0000185    0.0000000  EM
             19 -0.12553963D+04    0.0000070    0.0000000  EM
             20 -0.12553963D+04    0.0000027    0.0000000  EM
             21 -0.12553963D+04    0.0000011    0.0000000  EM
             22 -0.12553963D+04    0.0000004    0.0000000  EM
             23 -0.12553963D+04    0.0000002    0.0000000  EM
             24 -0.12553963D+04    0.0000001    0.0000000  EM
             25 -0.12553963D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14


              6 -0.12556436D+04    0.5739792    0.0004569  EM
              7 -0.12554909D+04    0.1526752    0.0001216  EM
              8 -0.12554430D+04    0.0479292    0.0000382  EM
              9 -0.12554249D+04    0.0180342    0.0000144  EM
             10 -0.12554165D+04    0.0084175    0.0000067  EM
             11 -0.12554116D+04    0.0048690    0.0000039  EM
             12 -0.12554083D+04    0.0032993    0.0000026  EM
             13 -0.12554059D+04    0.0024478    0.0000019  EM
             14 -0.12554040D+04    0.0018994    0.0000015  EM
             15 -0.12554025D+04    0.0015051    0.0000012  EM
             16 -0.12554013D+04    0.0012042    0.0000010  EM
             17 -0.12554003D+04    0.0009677    0.0000008  EM
             18 -0.12553995D+04    0.0007793    0.0000006  EM
             19 -0.12553989D+04    0.0006282    0.0000005  EM
             20 -0.12553984D+04    0.0005066    0.0000004  EM
             21 -0.12553980D+04    0.0004086    0.0000003  EM
             22 -0.12553977D+04    0.0003295    0.0000003  EM
             23 -0.12553974D+04    0.0002658    0.0000002  EM
             24 -0.12553972D+04    0.0002143    0.0000002  EM
             25 -0.12553970D+04    0.0001729    0.0000001  EM
             26 -0.12553969D+04    0.0001394    0.0000001  EM
             27 -0.12553968D+04    0.0001124    0.0000001  EM
             28 -0.12553967D+04    0.0000906    0.0000001  EM
             29 -0.12553966D+04    0.0000731    0.0000001  EM
             30 -0.12553965D+04    0.0000589    0.0000000  EM
             31 -0.12553965D+04    0.0000475    0.0000000  EM
             32 -0.12553965D+04    0.0000383    0.0000000  EM
             33 -0.12553964D+04    0.0000309    0.0000000  EM
             34 -0.12553964D+04    0.0000249    0.0000000  EM
             35 -0.12553964D+04    0.0000201    0.0000000  EM
             36 -0.12553964D+04    0.0000162    0.0000000  EM
             37 -0.12553964D+04    0.0000130    0.0000000  EM
             38 -0.12553963D+04    0.0000105    0.0000000  EM
             39 -0.12553963D+04    0.0000085    0.0000000  EM
             40 -0.12553963D+04    0.0000068    0.0000000  EM
             41 -0.12553963D+04    0.0000055    0.0000000  EM
             42 -0.12553963D+04    0.0000222    0.0000000  FS
             43 -0.12553963D+04    0.0000006    0.0000000  FS
             44 -0.12553963D+04    0.0000000    0.0000000  FS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17


             10 -0.12558483D+04    0.4359420    0.0003470  EM
             11 -0.12556727D+04    0.1755823    0.0001398  EM
             12 -0.12555881D+04    0.0845912    0.0000674  EM
             13 -0.12555393D+04    0.0488497    0.0000389  EM
             14 -0.12555069D+04    0.0323976    0.0000258  EM
             15 -0.12554834D+04    0.0234451    0.0000187  EM
             16 -0.12554656D+04    0.0178204    0.0000142  EM
             17 -0.12554517D+04    0.0139046    0.0000111  EM
             18 -0.12554407D+04    0.0109993    0.0000088  EM
             19 -0.12554320D+04    0.0087642    0.0000070  EM
             20 -0.12554249D+04    0.0070103    0.0000056  EM
             21 -0.12554193D+04    0.0056194    0.0000045  EM
             22 -0.12554148D+04    0.0045101    0.0000036  EM
             23 -0.12554112D+04    0.0036225    0.0000029  EM
             24 -0.12554083D+04    0.0029112    0.0000023  EM
             25 -0.12554059D+04    0.0023404    0.0000019  EM
             26 -0.12554041D+04    0.0018820    0.0000015  EM
             27 -0.12554025D+04    0.0015138    0.0000012  EM
             28 -0.12554013D+04    0.0012179    0.0000010  EM
             29 -0.12554003D+04    0.0009800    0.0000008  EM
             30 -0.12553996D+04    0.0007887    0.0000006  EM
             31 -0.12553989D+04    0.0006349    0.0000005  EM
             32 -0.12553984D+04    0.0005111    0.0000004  EM
             33 -0.12553980D+04    0.0004115    0.0000003  EM
             34 -0.12553977D+04    0.0003313    0.0000003  EM
             35 -0.12553974D+04    0.0002668    0.0000002  EM
             36 -0.12553972D+04    0.0002148    0.0000002  EM
             37 -0.12553970D+04    0.0001730    0.0000001  EM
             38 -0.12553969D+04    0.0001394    0.0000001  EM
             39 -0.12553968D+04    0.0001123    0.0000001  EM
             40 -0.12553963D+04    0.0004522    0.0000004  FS
             41 -0.12553963D+04    0.0000126    0.0000000  FS
             42 -0.12553963D+04    0.0000005    0.0000000  FS
             43 -0.12553963D+04    0.0000000    0.0000000  FS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


              3 -0.12559636D+04    0.9446035    0.0007515  EM
              4 -0.12557534D+04    0.2101394    0.0001673  EM
              5 -0.12556556D+04    0.0978109    0.0000779  EM
              6 -0.12555961D+04    0.0595311    0.0000474  EM
              7 -0.12555539D+04    0.0421856    0.0000336  EM
              8 -0.12555218D+04    0.0320710    0.0000255  EM
              9 -0.12554967D+04    0.0251220    0.0000200  EM
             10 -0.12554768D+04    0.0199313    0.0000159  EM
             11 -0.12554609D+04    0.0159037    0.0000127  EM
             12 -0.12554482D+04    0.0127254    0.0000101  EM
             13 -0.12554380D+04    0.0101976    0.0000081  EM
             14 -0.12554298D+04    0.0081796    0.0000065  EM
             15 -0.12554232D+04    0.0065652    0.0000052  EM
             16 -0.12554179D+04    0.0052720    0.0000042  EM
             17 -0.12554137D+04    0.0042353    0.0000034  EM
             18 -0.12554103D+04    0.0034035    0.0000027  EM
             19 -0.12554076D+04    0.0027360    0.0000022  EM
             20 -0.12554054D+04    0.0021999    0.0000018  EM
             21 -0.12554036D+04    0.0017693    0.0000014  EM
             22 -0.12554022D+04    0.0014233    0.0000011  EM
             23 -0.12554010D+04    0.0011451    0.0000009  EM
             24 -0.12554001D+04    0.0009215    0.0000007  EM
             25 -0.12553994D+04    0.0007416    0.0000006  EM
             26 -0.12553988D+04    0.0005970    0.0000005  EM
             27 -0.12553983D+04    0.0004806    0.0000004  EM
             28 -0.12553979D+04    0.0003869    0.0000003  EM
             29 -0.12553976D+04    0.0003116    0.0000002  EM
             30 -0.12553973D+04    0.0002509    0.0000002  EM
             31 -0.12553971D+04    0.0002021    0.0000002  EM
             32 -0.12553970D+04    0.0001627    0.0000001  EM
             33 -0.12553968D+04    0.0001311    0.0000001  EM
             34 -0.12553967D+04    0.0001056    0.0000001  EM
             35 -0.12553967D+04    0.0000851    0.0000001  EM
             36 -0.12553966D+04    0.0000685    0.0000001  EM
             37 -0.12553963D+04    0.0002761    0.0000002  FS
             38 -0.12553963D+04    0.0000077    0.0000000  FS
             39 -0.12553963D+04    0.0000003    0.0000000  FS
             40 -0.12553963D+04    0.0000000    0.0000000  FS


     Beginning Time:  23:12:55
        Ending Time:  23:12:56
       Elapsed Time:  00:00:01



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