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

INPUT INSTRUCTIONS

  TITLE:	this is an example of a confirmatory LCA
  	with two categorical latent variables
  DATA:	FILE IS ex7.14.dat;
  VARIABLE:	NAMES ARE u1-u4 y1-y4 cu cy;
  	USEVARIABLES ARE u1-y4;
  	CLASSES = cu (2) cy (3);
  	CATEGORICAL = u1-u4;
  ANALYSIS:	TYPE = MIXTURE;
  	PARAMETERIZATION = LOGLINEAR;
  MODEL:
  	%OVERALL%
  	cu WITH cy;
  MODEL cu:
  	%cu#1%
  	[u1$1-u4$1];
  	%cu#2%
  	[u1$1-u4$1];
  MODEL cy:
  	%cy#1%
  	[y1-y4];
  	%cy#2%
  	[y1-y4];
  	%cy#3%
  	[y1-y4];
  OUTPUT:	TECH1 TECH8;



*** WARNING in MODEL command
  All variables are uncorrelated with all other variables within class.
  Check that this is what is intended.
   1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS



this is an example of a confirmatory LCA
with two categorical latent variables

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

Number of dependent variables                                    8
Number of independent variables                                  0
Number of continuous latent variables                            0
Number of categorical latent variables                           2

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4

Categorical latent variables
   CU          CY


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
Parameterization                                         LOGLINEAR
Link                                                         LOGIT

Input data file(s)
  ex7.14.dat
Input data format  FREE


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1
      Category 1    0.443          443.000
      Category 2    0.557          557.000
    U2
      Category 1    0.427          427.000
      Category 2    0.573          573.000
    U3
      Category 1    0.432          432.000
      Category 2    0.568          568.000
    U4
      Category 1    0.476          476.000
      Category 2    0.524          524.000



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

     Y1                    0.602      -0.247      -4.048    0.10%      -0.839      0.273      0.755
            1000.000       2.380      -0.520       4.914    0.10%       1.152      1.990
     Y2                    0.581      -0.198      -3.834    0.10%      -0.882      0.266      0.680
            1000.000       2.468      -0.438       5.571    0.10%       1.104      1.968
     Y3                    0.579      -0.206      -3.832    0.10%      -0.877      0.230      0.677
            1000.000       2.529      -0.572       4.810    0.10%       1.110      2.015
     Y4                    0.583      -0.112      -3.672    0.10%      -0.881      0.218      0.658
            1000.000       2.379      -0.517       4.652    0.10%       1.051      1.943

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:

           -9141.129  285380           1
           -9141.129  637345           19
           -9141.129  608496           4
           -9141.129  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                       29

Loglikelihood

          H0 Value                       -9141.129
          H0 Scaling Correction Factor      1.0220
            for MLR

Information Criteria

          Akaike (AIC)                   18340.257
          Bayesian (BIC)                 18482.582
          Sample-Size Adjusted BIC       18390.477
            (n* = (n + 2) / 24)

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

          Pearson Chi-Square

          Value                             10.624
          Degrees of Freedom                     2
          P-Value                           0.0049

          Likelihood Ratio Chi-Square

          Value                             10.270
          Degrees of Freedom                     2
          P-Value                           0.0059



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

  Latent Class
    Variable    Class

    CU             1       640.74005          0.64074
                   2       359.25995          0.35926
    CY             1       335.95715          0.33596
                   2       433.52811          0.43353
                   3       230.51474          0.23051


CLASSIFICATION QUALITY

     Entropy                         0.651


LATENT CLASS INDICATOR MEANS AND PROBABILITIES FOR EACH LATENT CLASS

     MEAN/PROBABILITY PROFILES FOR CU
                   Latent class
                     1      2
     U1
       Category 1  0.285  0.725
       Category 2  0.715  0.275
     U2
       Category 1  0.254  0.735
       Category 2  0.746  0.265
     U3
       Category 1  0.289  0.687
       Category 2  0.711  0.313
     U4
       Category 1  0.318  0.757
       Category 2  0.682  0.243

     MEAN/PROBABILITY PROFILES FOR CY
                       Latent class
                     1      2      3
     Y1           -0.925  1.149  1.798
     Y2           -1.052  1.052  2.073
     Y3           -1.069  1.086  2.028
     Y4           -0.999  0.998  2.106


C-SPECIFIC CLASSIFICATION RESULTS

Classification Quality for CU

     Entropy                         0.479

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

           1        2

    1   0.850    0.150
    2   0.176    0.824


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

           1        2

    1   0.914    0.086
    2   0.287    0.713


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

              1        2

    1      2.368    0.000
    2     -0.910    0.000

Classification Quality for CY

     Entropy                         0.755

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

           1        2        3

    1   0.981    0.019    0.000
    2   0.017    0.856    0.127
    3   0.000    0.215    0.785


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

           1        2        3

    1   0.978    0.022    0.000
    2   0.015    0.875    0.110
    3   0.000    0.244    0.756


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

              1        2        3

    1     13.793    9.991    0.000
    2     -2.014    2.072    0.000
    3    -10.321   -1.130    0.000


MODEL RESULTS

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

Parameters in the Overall Part of the Model (Parameters Equal in All of the Classes)

 Variances
    Y1                 1.137      0.055     20.720      0.000
    Y2                 0.963      0.051     18.838      0.000
    Y3                 1.022      0.053     19.441      0.000
    Y4                 0.929      0.054     17.329      0.000

Parameters for Class-specific Model Parts of CU

Latent Class CU#1

 Thresholds
    U1$1              -0.920      0.206     -4.471      0.000
    U2$1              -1.076      0.184     -5.848      0.000
    U3$1              -0.900      0.139     -6.477      0.000
    U4$1              -0.762      0.176     -4.331      0.000

Latent Class CU#2

 Thresholds
    U1$1               0.969      0.239      4.057      0.000
    U2$1               1.020      0.337      3.032      0.002
    U3$1               0.786      0.295      2.661      0.008
    U4$1               1.139      0.288      3.955      0.000

Parameters for Class-specific Model Parts of CY

Latent Class CY#1

 Means
    Y1                -0.925      0.061    -15.232      0.000
    Y2                -1.052      0.058    -18.207      0.000
    Y3                -1.069      0.058    -18.395      0.000
    Y4                -0.999      0.054    -18.431      0.000

Latent Class CY#2

 Means
    Y1                 1.149      0.085     13.525      0.000
    Y2                 1.052      0.083     12.723      0.000
    Y3                 1.086      0.077     14.136      0.000
    Y4                 0.998      0.069     14.444      0.000

Latent Class CY#3

 Means
    Y1                 1.798      0.081     22.160      0.000
    Y2                 2.073      0.104     19.884      0.000
    Y3                 2.028      0.114     17.771      0.000
    Y4                 2.106      0.148     14.256      0.000

Categorical Latent Variables

 CU#1     WITH
    CY#1               0.927      0.333      2.781      0.005
    CY#2               1.078      0.363      2.973      0.003

 Means
    CU#1              -0.181      0.416     -0.435      0.663
    CY#1              -0.151      0.261     -0.579      0.563
    CY#2              -0.001      0.339     -0.002      0.998


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.513E-04
       (ratio of smallest to largest eigenvalue)


RESULTS IN PROBABILITY SCALE

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

Results for Class-specific Model Parts of CU

Latent Class CU#1

 U1
    Category 1         0.285      0.042      6.793      0.000
    Category 2         0.715      0.042     17.053      0.000
 U2
    Category 1         0.254      0.035      7.288      0.000
    Category 2         0.746      0.035     21.375      0.000
 U3
    Category 1         0.289      0.029     10.125      0.000
    Category 2         0.711      0.029     24.900      0.000
 U4
    Category 1         0.318      0.038      8.336      0.000
    Category 2         0.682      0.038     17.861      0.000

Latent Class CU#2

 U1
    Category 1         0.725      0.048     15.217      0.000
    Category 2         0.275      0.048      5.771      0.000
 U2
    Category 1         0.735      0.066     11.213      0.000
    Category 2         0.265      0.066      4.042      0.000
 U3
    Category 1         0.687      0.063     10.818      0.000
    Category 2         0.313      0.063      4.931      0.000
 U4
    Category 1         0.757      0.053     14.320      0.000
    Category 2         0.243      0.053      4.586      0.000


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 1


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


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1                 5
 Y2                 0             6
 Y3                 0             0             7
 Y4                 0             0             0             8


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 2


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
                    9            10            11            12


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1                 5
 Y2                 0             6
 Y3                 0             0             7
 Y4                 0             0             0             8


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 3


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
                   13            14            15            16


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1                 5
 Y2                 0             6
 Y3                 0             0             7
 Y4                 0             0             0             8


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 1


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


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1                 5
 Y2                 0             6
 Y3                 0             0             7
 Y4                 0             0             0             8


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 2


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
                    9            10            11            12


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1                 5
 Y2                 0             6
 Y3                 0             0             7
 Y4                 0             0             0             8


     PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 3


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
                   13            14            15            16


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1                 5
 Y2                 0             6
 Y3                 0             0             7
 Y4                 0             0             0             8


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS PATTERN 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                   17            18            19            20


           TAU(U) FOR LATENT CLASS PATTERN 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                   17            18            19            20


           TAU(U) FOR LATENT CLASS PATTERN 1 3
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                   17            18            19            20


           TAU(U) FOR LATENT CLASS PATTERN 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                   21            22            23            24


           TAU(U) FOR LATENT CLASS PATTERN 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                   21            22            23            24


           TAU(U) FOR LATENT CLASS PATTERN 2 3
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                   21            22            23            24


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              CU#1          CU#2          CY#1          CY#2          CY#3
              ________      ________      ________      ________      ________
                   25             0            26            27             0


           PSI(C)
              CU#1          CU#2
              ________      ________
 CY#1              28             0
 CY#2              29             0
 CY#3               0             0


     STARTING VALUES FOR LATENT CLASS PATTERN 1 1


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
               -0.941        -0.991        -1.011        -0.960


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1             1.190
 Y2             0.000         1.234
 Y3             0.000         0.000         1.265
 Y4             0.000         0.000         0.000         1.189


     STARTING VALUES FOR LATENT CLASS PATTERN 1 2


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
                0.602         0.581         0.579         0.583


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1             1.190
 Y2             0.000         1.234
 Y3             0.000         0.000         1.265
 Y4             0.000         0.000         0.000         1.189


     STARTING VALUES FOR LATENT CLASS PATTERN 1 3


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
                2.144         2.152         2.170         2.125


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1             1.190
 Y2             0.000         1.234
 Y3             0.000         0.000         1.265
 Y4             0.000         0.000         0.000         1.189


     STARTING VALUES FOR LATENT CLASS PATTERN 2 1


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
               -0.941        -0.991        -1.011        -0.960


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1             1.190
 Y2             0.000         1.234
 Y3             0.000         0.000         1.265
 Y4             0.000         0.000         0.000         1.189


     STARTING VALUES FOR LATENT CLASS PATTERN 2 2


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
                0.602         0.581         0.579         0.583


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1             1.190
 Y2             0.000         1.234
 Y3             0.000         0.000         1.265
 Y4             0.000         0.000         0.000         1.189


     STARTING VALUES FOR LATENT CLASS PATTERN 2 3


           NU
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
                2.144         2.152         2.170         2.125


           THETA
              Y1            Y2            Y3            Y4
              ________      ________      ________      ________
 Y1             1.190
 Y2             0.000         1.234
 Y3             0.000         0.000         1.265
 Y4             0.000         0.000         0.000         1.189


     STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS PATTERN 1 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.229        -1.294        -1.274        -1.096


           TAU(U) FOR LATENT CLASS PATTERN 1 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.229        -1.294        -1.274        -1.096


           TAU(U) FOR LATENT CLASS PATTERN 1 3
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.229        -1.294        -1.274        -1.096


           TAU(U) FOR LATENT CLASS PATTERN 2 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                0.771         0.706         0.726         0.904


           TAU(U) FOR LATENT CLASS PATTERN 2 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                0.771         0.706         0.726         0.904


           TAU(U) FOR LATENT CLASS PATTERN 2 3
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                0.771         0.706         0.726         0.904


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


           PSI(C)
              CU#1          CU#2
              ________      ________
 CY#1           0.000         0.000
 CY#2           0.000         0.000
 CY#3           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 -0.92824009D+04    0.0000000    0.0000000  EM
              2 -0.91576110D+04  124.7899328    0.0134437  EM
              3 -0.91503867D+04    7.2242882    0.0007889  EM
              4 -0.91481530D+04    2.2336979    0.0002441  EM
              5 -0.91470078D+04    1.1452278    0.0001252  EM
              6 -0.91462435D+04    0.7642924    0.0000836  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.16726956D+05    0.0000000    0.0000000  EM
              2 -0.94065747D+04 7320.3816427    0.4376398  EM
              3 -0.91791830D+04  227.3916914    0.0241737  EM
              4 -0.91555998D+04   23.5832201    0.0025692  EM
              5 -0.91504709D+04    5.1288480    0.0005602  EM
              6 -0.91479209D+04    2.5500376    0.0002787  EM
              7 -0.91463317D+04    1.5892273    0.0001737  EM
              8 -0.91452704D+04    1.0612867    0.0001160  EM
              9 -0.91445273D+04    0.7430667    0.0000813  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.23361116D+05    0.0000000    0.0000000  EM
              2 -0.99619547D+04 ************    0.5735668  EM
              3 -0.95783193D+04  383.6353571    0.0385100  EM
              4 -0.93692895D+04  209.0297611    0.0218232  EM
              5 -0.93098642D+04   59.4253424    0.0063426  EM
              6 -0.92757866D+04   34.0776194    0.0036604  EM
              7 -0.92504241D+04   25.3624980    0.0027343  EM
              8 -0.92321380D+04   18.2860688    0.0019768  EM
              9 -0.92218473D+04   10.2906848    0.0011147  EM
             10 -0.92171722D+04    4.6751687    0.0005070  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.16900314D+05    0.0000000    0.0000000  EM
              2 -0.93469457D+04 7553.3686159    0.4469366  EM
              3 -0.92411900D+04  105.7556906    0.0113145  EM
              4 -0.92136663D+04   27.5237207    0.0029784  EM
              5 -0.92053601D+04    8.3062139    0.0009015  EM
              6 -0.92023230D+04    3.0370389    0.0003299  EM
              7 -0.92009388D+04    1.3842784    0.0001504  EM
              8 -0.92001971D+04    0.7416336    0.0000806  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.18625777D+05    0.0000000    0.0000000  EM
              2 -0.10140996D+05 8484.7806598    0.4555397  EM
              3 -0.99111877D+04  229.8082497    0.0226613  EM
              4 -0.96090399D+04  302.1477624    0.0304855  EM
              5 -0.92726354D+04  336.4044933    0.0350092  EM
              6 -0.91642720D+04  108.3634124    0.0116864  EM
              7 -0.91514311D+04   12.8409744    0.0014012  EM
              8 -0.91485443D+04    2.8867725    0.0003154  EM
              9 -0.91470639D+04    1.4803921    0.0001618  EM
             10 -0.91460902D+04    0.9736641    0.0001064  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.14642864D+05    0.0000000    0.0000000  EM
              2 -0.10104154D+05 4538.7099818    0.3099605  EM
              3 -0.98360903D+04  268.0634787    0.0265300  EM
              4 -0.94321924D+04  403.8979055    0.0410629  EM
              5 -0.92024361D+04  229.7563287    0.0243587  EM
              6 -0.91637215D+04   38.7145996    0.0042070  EM
              7 -0.91566459D+04    7.0755275    0.0007721  EM
              8 -0.91523452D+04    4.3007227    0.0004697  EM
              9 -0.91489407D+04    3.4045270    0.0003720  EM
             10 -0.91463981D+04    2.5425318    0.0002779  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.17794079D+05    0.0000000    0.0000000  EM
              2 -0.96829255D+04 8111.1538329    0.4558344  EM
              3 -0.93491301D+04  333.7953707    0.0344726  EM
              4 -0.92336283D+04  115.5018291    0.0123543  EM
              5 -0.91918361D+04   41.7922111    0.0045261  EM
              6 -0.91758664D+04   15.9697006    0.0017374  EM
              7 -0.91686009D+04    7.2654115    0.0007918  EM
              8 -0.91640765D+04    4.5244536    0.0004935  EM
              9 -0.91604379D+04    3.6386317    0.0003971  EM
             10 -0.91572356D+04    3.2022687    0.0003496  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.21952265D+05    0.0000000    0.0000000  EM
              2 -0.93505182D+04 ************    0.5740522  EM
              3 -0.92251907D+04  125.3274610    0.0134033  EM
              4 -0.92144394D+04   10.7513801    0.0011654  EM
              5 -0.92102102D+04    4.2291489    0.0004590  EM
              6 -0.92071523D+04    3.0579093    0.0003320  EM
              7 -0.92044255D+04    2.7267665    0.0002962  EM
              8 -0.92018402D+04    2.5853239    0.0002809  EM
              9 -0.91992931D+04    2.5471598    0.0002768  EM
             10 -0.91966683D+04    2.6247338    0.0002853  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.18522056D+05    0.0000000    0.0000000  EM
              2 -0.97489992D+04 8773.0568639    0.4736546  EM
              3 -0.95325318D+04  216.4673435    0.0222041  EM
              4 -0.93804033D+04  152.1285564    0.0159589  EM
              5 -0.92904837D+04   89.9195939    0.0095859  EM
              6 -0.92418866D+04   48.5970549    0.0052308  EM
              7 -0.92078859D+04   34.0007562    0.0036790  EM
              8 -0.91840070D+04   23.8788667    0.0025933  EM
              9 -0.91691107D+04   14.8962878    0.0016220  EM
             10 -0.91599934D+04    9.1172729    0.0009943  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.17338766D+05    0.0000000    0.0000000  EM
              2 -0.94672785D+04 7871.4870852    0.4539820  EM
              3 -0.93185875D+04  148.6910344    0.0157058  EM
              4 -0.92994567D+04   19.1308326    0.0020530  EM
              5 -0.92919466D+04    7.5100578    0.0008076  EM
              6 -0.92858650D+04    6.0816347    0.0006545  EM
              7 -0.92776838D+04    8.1811887    0.0008810  EM
              8 -0.92636432D+04   14.0405836    0.0015134  EM
              9 -0.92414949D+04   22.1482839    0.0023909  EM
             10 -0.92172173D+04   24.2776187    0.0026270  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.16063724D+05    0.0000000    0.0000000  EM
              2 -0.10145093D+05 5918.6311705    0.3684470  EM
              3 -0.98978519D+04  247.2409177    0.0243705  EM
              4 -0.97482671D+04  149.5848116    0.0151129  EM
              5 -0.95798288D+04  168.4383079    0.0172788  EM
              6 -0.94152910D+04  164.5378044    0.0171754  EM
              7 -0.92977238D+04  117.5671786    0.0124868  EM
              8 -0.92418264D+04   55.8974017    0.0060119  EM
              9 -0.92256957D+04   16.1307295    0.0017454  EM
             10 -0.92215934D+04    4.1022438    0.0004447  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.22592500D+05    0.0000000    0.0000000  EM
              2 -0.94464080D+04 ************    0.5818786  EM
              3 -0.92175654D+04  228.8425330    0.0242253  EM
              4 -0.91952850D+04   22.2804933    0.0024172  EM
              5 -0.91850956D+04   10.1893542    0.0011081  EM
              6 -0.91766279D+04    8.4676529    0.0009219  EM
              7 -0.91695978D+04    7.0301619    0.0007661  EM
              8 -0.91639374D+04    5.6603609    0.0006173  EM
              9 -0.91594409D+04    4.4965619    0.0004907  EM
             10 -0.91559296D+04    3.5112799    0.0003834  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.17755273D+05    0.0000000    0.0000000  EM
              2 -0.93114299D+04 8443.8433563    0.4755682  EM
              3 -0.92359846D+04   75.4452439    0.0081024  EM
              4 -0.92148077D+04   21.1769257    0.0022929  EM
              5 -0.91998428D+04   14.9648594    0.0016240  EM
              6 -0.91858729D+04   13.9699389    0.0015185  EM
              7 -0.91719518D+04   13.9211418    0.0015155  EM
              8 -0.91601797D+04   11.7720903    0.0012835  EM
              9 -0.91524138D+04    7.7658751    0.0008478  EM
             10 -0.91482549D+04    4.1589156    0.0004544  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.23951351D+05    0.0000000    0.0000000  EM
              2 -0.97075780D+04 ************    0.5946960  EM
              3 -0.93355268D+04  372.0512395    0.0383259  EM
              4 -0.92051403D+04  130.3864335    0.0139667  EM
              5 -0.91774210D+04   27.7193389    0.0030113  EM
              6 -0.91720297D+04    5.3913018    0.0005875  EM
              7 -0.91700834D+04    1.9463104    0.0002122  EM
              8 -0.91686296D+04    1.4537868    0.0001585  EM
              9 -0.91671443D+04    1.4852999    0.0001620  EM
             10 -0.91654976D+04    1.6466627    0.0001796  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.21846730D+05    0.0000000    0.0000000  EM
              2 -0.94033862D+04 ************    0.5695747  EM
              3 -0.92986802D+04  104.7059893    0.0111349  EM
              4 -0.92719713D+04   26.7088861    0.0028723  EM
              5 -0.92480367D+04   23.9346332    0.0025814  EM
              6 -0.92270995D+04   20.9372189    0.0022640  EM
              7 -0.92144577D+04   12.6417589    0.0013701  EM
              8 -0.92092587D+04    5.1990179    0.0005642  EM
              9 -0.92074621D+04    1.7965470    0.0001951  EM
             10 -0.92067287D+04    0.7334374    0.0000797  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.20790631D+05    0.0000000    0.0000000  EM
              2 -0.94351017D+04 ************    0.5461849  EM
              3 -0.92637814D+04  171.3202665    0.0181578  EM
              4 -0.92331064D+04   30.6749526    0.0033113  EM
              5 -0.92197443D+04   13.3620989    0.0014472  EM
              6 -0.92120195D+04    7.7248855    0.0008379  EM
              7 -0.92054200D+04    6.5994711    0.0007164  EM
              8 -0.91972188D+04    8.2011831    0.0008909  EM
              9 -0.91854665D+04   11.7522501    0.0012778  EM
             10 -0.91707430D+04   14.7235336    0.0016029  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.24528381D+05    0.0000000    0.0000000  EM
              2 -0.10033985D+05 ************    0.5909235  EM
              3 -0.96675101D+04  366.4753795    0.0365234  EM
              4 -0.93702345D+04  297.2756564    0.0307500  EM
              5 -0.92190919D+04  151.1425335    0.0161301  EM
              6 -0.91894502D+04   29.6416777    0.0032152  EM
              7 -0.91787256D+04   10.7246183    0.0011671  EM
              8 -0.91723658D+04    6.3598102    0.0006929  EM
              9 -0.91681587D+04    4.2071170    0.0004587  EM
             10 -0.91651552D+04    3.0035235    0.0003276  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.25574924D+05    0.0000000    0.0000000  EM
              2 -0.96356351D+04 ************    0.6232390  EM
              3 -0.93593940D+04  276.2410697    0.0286687  EM
              4 -0.92522546D+04  107.1394520    0.0114473  EM
              5 -0.92156796D+04   36.5749771    0.0039531  EM
              6 -0.92063112D+04    9.3684063    0.0010166  EM
              7 -0.92022367D+04    4.0744217    0.0004426  EM
              8 -0.91986030D+04    3.6337565    0.0003949  EM
              9 -0.91949001D+04    3.7028472    0.0004025  EM
             10 -0.91911617D+04    3.7384630    0.0004066  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.19065634D+05    0.0000000    0.0000000  EM
              2 -0.10022510D+05 9043.1239714    0.4743154  EM
              3 -0.97525724D+04  269.9374755    0.0269331  EM
              4 -0.95449206D+04  207.6517085    0.0212920  EM
              5 -0.93938777D+04  151.0429384    0.0158244  EM
              6 -0.93087524D+04   85.1253406    0.0090618  EM
              7 -0.92746706D+04   34.0817298    0.0036613  EM
              8 -0.92554916D+04   19.1790675    0.0020679  EM
              9 -0.92361575D+04   19.3341119    0.0020889  EM
             10 -0.92173253D+04   18.8321273    0.0020390  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.21691814D+05    0.0000000    0.0000000  EM
              2 -0.99967159D+04 ************    0.5391480  EM
              3 -0.95666309D+04  430.0850415    0.0430226  EM
              4 -0.92660035D+04  300.6274201    0.0314246  EM
              5 -0.91700865D+04   95.9170096    0.0103515  EM
              6 -0.91553838D+04   14.7026579    0.0016033  EM
              7 -0.91512288D+04    4.1550439    0.0004538  EM
              8 -0.91486136D+04    2.6151381    0.0002858  EM
              9 -0.91465675D+04    2.0461474    0.0002237  EM
             10 -0.91449413D+04    1.6261768    0.0001778  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.24299572D+05    0.0000000    0.0000000  EM
              2 -0.10027966D+05 ************    0.5873192  EM
              3 -0.93483490D+04  679.6166254    0.0677721  EM
              4 -0.92240072D+04  124.3418007    0.0133009  EM
              5 -0.91936974D+04   30.3097876    0.0032860  EM
              6 -0.91700178D+04   23.6796569    0.0025756  EM
              7 -0.91566669D+04   13.3508768    0.0014559  EM
              8 -0.91508807D+04    5.7862522    0.0006319  EM
              9 -0.91482727D+04    2.6079613    0.0002850  EM
             10 -0.91468030D+04    1.4696776    0.0001607  EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


              9 -0.91445273D+04    0.7430667    0.0000813  EM
             10 -0.91439825D+04    0.5448233    0.0000596  EM
             11 -0.91435650D+04    0.4174541    0.0000457  EM
             12 -0.91432328D+04    0.3321852    0.0000363  EM
             13 -0.91429606D+04    0.2722221    0.0000298  EM
             14 -0.91427327D+04    0.2278925    0.0000249  EM
             15 -0.91425391D+04    0.1936406    0.0000212  EM
             16 -0.91423728D+04    0.1662321    0.0000182  EM
             17 -0.91422291D+04    0.1437265    0.0000157  EM
             18 -0.91421042D+04    0.1249073    0.0000137  EM
             19 -0.91419952D+04    0.1089708    0.0000119  EM
             20 -0.91418999D+04    0.0953562    0.0000104  EM
             21 -0.91418162D+04    0.0836522    0.0000092  EM
             22 -0.91417427D+04    0.0735443    0.0000080  EM
             23 -0.91416779D+04    0.0647838    0.0000071  EM
             24 -0.91416207D+04    0.0571696    0.0000063  EM
             25 -0.91415702D+04    0.0505358    0.0000055  EM
             26 -0.91415255D+04    0.0447443    0.0000049  EM
             27 -0.91414858D+04    0.0396787    0.0000043  EM
             28 -0.91414505D+04    0.0352403    0.0000039  EM
             29 -0.91414192D+04    0.0313453    0.0000034  EM
             30 -0.91413913D+04    0.0279218    0.0000031  EM
             31 -0.91413664D+04    0.0249083    0.0000027  EM
             32 -0.91413441D+04    0.0222519    0.0000024  EM
             33 -0.91413242D+04    0.0199070    0.0000022  EM
             34 -0.91413064D+04    0.0178342    0.0000020  EM
             35 -0.91412904D+04    0.0159994    0.0000018  EM
             36 -0.91412760D+04    0.0143732    0.0000016  EM
             37 -0.91412631D+04    0.0129299    0.0000014  EM
             38 -0.91411455D+04    0.1175588    0.0000129  FS
             39 -0.91411315D+04    0.0140512    0.0000015  FS
             40 -0.91411292D+04    0.0022180    0.0000002  FS
             41 -0.91411288D+04    0.0004216    0.0000000  FS
             42 -0.91411287D+04    0.0000877    0.0000000  FS
             43 -0.91411287D+04    0.0000197    0.0000000  FS
             44 -0.91411287D+04    0.0000047    0.0000000  FS
             45 -0.91411287D+04    0.0000012    0.0000000  FS
             46 -0.91411287D+04    0.0000003    0.0000000  FS
             47 -0.91411287D+04    0.0000001    0.0000000  FS
             48 -0.91411287D+04    0.0000000    0.0000000  FS
             49 -0.91411287D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


             10 -0.91449413D+04    1.6261768    0.0001778  EM
             11 -0.91436969D+04    1.2443865    0.0001361  EM
             12 -0.91427938D+04    0.9031283    0.0000988  EM
             13 -0.91421727D+04    0.6211137    0.0000679  EM
             14 -0.91417656D+04    0.4070552    0.0000445  EM
             15 -0.91415093D+04    0.2563467    0.0000280  EM
             16 -0.91413527D+04    0.1565241    0.0000171  EM
             17 -0.91412593D+04    0.0934376    0.0000102  EM
             18 -0.91412044D+04    0.0549157    0.0000060  EM
             19 -0.91411724D+04    0.0319531    0.0000035  EM
             20 -0.91411540D+04    0.0184827    0.0000020  EM
             21 -0.91411433D+04    0.0106591    0.0000012  EM
             22 -0.91411372D+04    0.0061410    0.0000007  EM
             23 -0.91411336D+04    0.0035391    0.0000004  EM
             24 -0.91411316D+04    0.0020420    0.0000002  EM
             25 -0.91411304D+04    0.0011804    0.0000001  EM
             26 -0.91411297D+04    0.0006839    0.0000001  EM
             27 -0.91411293D+04    0.0003975    0.0000000  EM
             28 -0.91411291D+04    0.0002320    0.0000000  EM
             29 -0.91411289D+04    0.0001362    0.0000000  EM
             30 -0.91411289D+04    0.0000806    0.0000000  EM
             31 -0.91411288D+04    0.0000483    0.0000000  EM
             32 -0.91411288D+04    0.0000294    0.0000000  EM
             33 -0.91411288D+04    0.0000183    0.0000000  EM
             34 -0.91411288D+04    0.0000118    0.0000000  EM
             35 -0.91411287D+04    0.0000079    0.0000000  EM
             36 -0.91411287D+04    0.0000055    0.0000000  EM
             37 -0.91411287D+04    0.0000041    0.0000000  EM
             38 -0.91411287D+04    0.0000264    0.0000000  FS
             39 -0.91411287D+04    0.0000035    0.0000000  FS
             40 -0.91411287D+04    0.0000007    0.0000000  FS
             41 -0.91411287D+04    0.0000001    0.0000000  FS
             42 -0.91411287D+04    0.0000000    0.0000000  FS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


             10 -0.91460902D+04    0.9736641    0.0001064  EM
             11 -0.91453871D+04    0.7031759    0.0000769  EM
             12 -0.91448456D+04    0.5414323    0.0000592  EM
             13 -0.91444079D+04    0.4376815    0.0000479  EM
             14 -0.91440418D+04    0.3661426    0.0000400  EM
             15 -0.91437286D+04    0.3132117    0.0000343  EM
             16 -0.91434569D+04    0.2717026    0.0000297  EM
             17 -0.91432191D+04    0.2377682    0.0000260  EM
             18 -0.91430099D+04    0.2092666    0.0000229  EM
             19 -0.91428249D+04    0.1849238    0.0000202  EM
             20 -0.91426610D+04    0.1639165    0.0000179  EM
             21 -0.91425153D+04    0.1456672    0.0000159  EM
             22 -0.91423856D+04    0.1297416    0.0000142  EM
             23 -0.91422698D+04    0.1157966    0.0000127  EM
             24 -0.91421663D+04    0.1035523    0.0000113  EM
             25 -0.91420735D+04    0.0927756    0.0000101  EM
             26 -0.91419902D+04    0.0832699    0.0000091  EM
             27 -0.91419153D+04    0.0748683    0.0000082  EM
             28 -0.91418479D+04    0.0674281    0.0000074  EM
             29 -0.91417871D+04    0.0608268    0.0000067  EM
             30 -0.91417321D+04    0.0549592    0.0000060  EM
             31 -0.91416824D+04    0.0497344    0.0000054  EM
             32 -0.91416373D+04    0.0450739    0.0000049  EM
             33 -0.91415964D+04    0.0409096    0.0000045  EM
             34 -0.91415592D+04    0.0371826    0.0000041  EM
             35 -0.91415254D+04    0.0338414    0.0000037  EM
             36 -0.91414945D+04    0.0308414    0.0000034  EM
             37 -0.91414664D+04    0.0281434    0.0000031  EM
             38 -0.91411760D+04    0.2903553    0.0000318  FS
             39 -0.91411362D+04    0.0398723    0.0000044  FS
             40 -0.91411302D+04    0.0060206    0.0000007  FS
             41 -0.91411290D+04    0.0011488    0.0000001  FS
             42 -0.91411288D+04    0.0002346    0.0000000  FS
             43 -0.91411287D+04    0.0000495    0.0000000  FS
             44 -0.91411287D+04    0.0000106    0.0000000  FS
             45 -0.91411287D+04    0.0000023    0.0000000  FS
             46 -0.91411287D+04    0.0000005    0.0000000  FS
             47 -0.91411287D+04    0.0000001    0.0000000  FS
             48 -0.91411287D+04    0.0000000    0.0000000  FS


  TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET


              6 -0.91462435D+04    0.7642924    0.0000836  EM
              7 -0.91456586D+04    0.5849415    0.0000640  EM
              8 -0.91451790D+04    0.4795673    0.0000524  EM
              9 -0.91447707D+04    0.4082849    0.0000446  EM
             10 -0.91444151D+04    0.3555801    0.0000389  EM
             11 -0.91441009D+04    0.3141902    0.0000344  EM
             12 -0.91438207D+04    0.2802369    0.0000306  EM
             13 -0.91435692D+04    0.2514858    0.0000275  EM
             14 -0.91433427D+04    0.2265720    0.0000248  EM
             15 -0.91431380D+04    0.2046332    0.0000224  EM
             16 -0.91429529D+04    0.1850999    0.0000202  EM
             17 -0.91427853D+04    0.1675795    0.0000183  EM
             18 -0.91426335D+04    0.1517897    0.0000166  EM
             19 -0.91424960D+04    0.1375175    0.0000150  EM
             20 -0.91423714D+04    0.1245949    0.0000136  EM
             21 -0.91422586D+04    0.1128837    0.0000123  EM
             22 -0.91421563D+04    0.1022668    0.0000112  EM
             23 -0.91420636D+04    0.0926422    0.0000101  EM
             24 -0.91419797D+04    0.0839190    0.0000092  EM
             25 -0.91419037D+04    0.0760159    0.0000083  EM
             26 -0.91418348D+04    0.0688586    0.0000075  EM
             27 -0.91417725D+04    0.0623799    0.0000068  EM
             28 -0.91417160D+04    0.0565179    0.0000062  EM
             29 -0.91416647D+04    0.0512161    0.0000056  EM
             30 -0.91416183D+04    0.0464227    0.0000051  EM
             31 -0.91415762D+04    0.0420904    0.0000046  EM
             32 -0.91415380D+04    0.0381758    0.0000042  EM
             33 -0.91415034D+04    0.0346394    0.0000038  EM
             34 -0.91414720D+04    0.0314449    0.0000034  EM
             35 -0.91414434D+04    0.0285596    0.0000031  EM
             36 -0.91411726D+04    0.2707644    0.0000296  FS
             37 -0.91411361D+04    0.0365877    0.0000040  FS
             38 -0.91411301D+04    0.0059327    0.0000006  FS
             39 -0.91411290D+04    0.0011209    0.0000001  FS
             40 -0.91411288D+04    0.0002275    0.0000000  FS
             41 -0.91411287D+04    0.0000492    0.0000000  FS
             42 -0.91411287D+04    0.0000114    0.0000000  FS
             43 -0.91411287D+04    0.0000028    0.0000000  FS
             44 -0.91411287D+04    0.0000007    0.0000000  FS
             45 -0.91411287D+04    0.0000002    0.0000000  FS
             46 -0.91411287D+04    0.0000001    0.0000000  FS
             47 -0.91411287D+04    0.0000000    0.0000000  EM


     Beginning Time:  23:12:56
        Ending Time:  23:12:57
       Elapsed Time:  00:00:01



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