Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010  11:00 PM

INPUT INSTRUCTIONS

  TITLE:  app5

          Confirmatory LCA with 2 latent class variables
          on 2+2 ASB items

  DATA:   FILE IS asb.dat;
          FORMAT IS 34X 54F2.0;

  VARIABLE: NAMES ARE property fight shoplift lt50 gt50 force threat injure
      pot drug soldpot solddrug con auto bldg goods gambling
          dsm1-dsm22 sex black hisp single divorce dropout college onset f1 f2 f3
          age94 cohort dep abuse;

      USEVAR ARE lt50 threat injure bldg;

      CLASSES = c(4);

      CATEGORICAL ARE lt50 threat injure bldg;

  ANALYSIS:  TYPE = MIXTURE;

  MODEL:     %OVERALL%
             %c#1%
             [lt50$1*2] (1);
                     [bldg$1*2] (3);
                     [threat$1*2](5);
                     [injure$1*2](7);

              %c#2%
              [lt50$1*2] (1);
                      [bldg$1*2] (3);
                      [threat$1*0](6);
                      [injure$1*0](8);

              %c#3%
              [lt50$1*0] (2);
                      [bldg$1*0] (4);
                      [threat$1*2](5);
                      [injure$1*2](7);

              %c#4%
              [lt50$1*0] (2);
                      [bldg$1*0] (4);
                      [threat$1*0](6);
                      [injure$1*0](8);

  OUTPUT:      TECH8;



INPUT READING TERMINATED NORMALLY



app5

Confirmatory LCA with 2 latent class variables
on 2+2 ASB items

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        7326

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

Observed dependent variables

  Binary and ordered categorical (ordinal)
   LT50        THREAT      INJURE      BLDG

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                         10
  Number of final stage optimizations                            2
  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)
  asb.dat
Input data format
  (34X 54F2.0)


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    LT50
      Category 1    0.813     5956.000
      Category 2    0.187     1370.000
    THREAT
      Category 1    0.638     4673.000
      Category 2    0.362     2653.000
    INJURE
      Category 1    0.900     6596.000
      Category 2    0.100      730.000
    BLDG
      Category 1    0.943     6911.000
      Category 2    0.057      415.000


RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST LOGLIKELIHOOD VALUES

Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:

          -11494.469  462953           7
          -11494.469  unperturbed      0



     WARNING:  WHEN ESTIMATING A MODEL WITH MORE THAN TWO CLASSES, IT MAY BE
     NECESSARY TO INCREASE THE NUMBER OF RANDOM STARTS USING THE STARTS OPTION
     TO AVOID LOCAL MAXIMA.


THE MODEL ESTIMATION TERMINATED NORMALLY



TESTS OF MODEL FIT

Loglikelihood

          H0 Value                      -11494.469
          H0 Scaling Correction Factor       1.007
            for MLR

Information Criteria

          Number of Free Parameters             11
          Akaike (AIC)                   23010.939
          Bayesian (BIC)                 23086.830
          Sample-Size Adjusted BIC       23051.874
            (n* = (n + 2) / 24)

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

          Pearson Chi-Square

          Value                             17.676
          Degrees of Freedom                     4
          P-Value                           0.0014

          Likelihood Ratio Chi-Square

          Value                             17.404
          Degrees of Freedom                     4
          P-Value                           0.0016



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

    Latent
   Classes

       1       5288.90600          0.72194
       2        963.32837          0.13149
       3        228.03758          0.03113
       4        845.72805          0.11544


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

    Latent
   Classes

       1       5288.90600          0.72194
       2        963.32837          0.13149
       3        228.03758          0.03113
       4        845.72805          0.11544


CLASSIFICATION QUALITY

     Entropy                         0.680


CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1             6025          0.82241
       2              363          0.04955
       3               59          0.00805
       4              879          0.11998


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

           1        2        3        4

    1   0.856    0.095    0.025    0.025
    2   0.029    0.799    0.000    0.172
    3   0.056    0.001    0.747    0.196
    4   0.136    0.115    0.039    0.710


MODEL RESULTS

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

Latent Class 1

 Thresholds
    LT50$1             2.149      0.080     26.883      0.000
    THREAT$1           1.499      0.113     13.304      0.000
    INJURE$1           4.413      0.327     13.512      0.000
    BLDG$1             4.935      0.397     12.426      0.000

Latent Class 2

 Thresholds
    LT50$1             2.149      0.080     26.883      0.000
    THREAT$1          -2.309      0.299     -7.720      0.000
    INJURE$1           0.545      0.115      4.729      0.000
    BLDG$1             4.935      0.397     12.426      0.000

Latent Class 3

 Thresholds
    LT50$1            -0.698      0.159     -4.405      0.000
    THREAT$1           1.499      0.113     13.304      0.000
    INJURE$1           4.413      0.327     13.512      0.000
    BLDG$1             0.642      0.130      4.920      0.000

Latent Class 4

 Thresholds
    LT50$1            -0.698      0.159     -4.405      0.000
    THREAT$1          -2.309      0.299     -7.720      0.000
    INJURE$1           0.545      0.115      4.729      0.000
    BLDG$1             0.642      0.130      4.920      0.000

Categorical Latent Variables

 Means
    C#1                1.833      0.114     16.141      0.000
    C#2                0.130      0.147      0.883      0.377
    C#3               -1.311      0.248     -5.287      0.000


RESULTS IN PROBABILITY SCALE

Latent Class 1

 LT50
    Category 1         0.896      0.007    119.794      0.000
    Category 2         0.104      0.007     13.968      0.000
 THREAT
    Category 1         0.817      0.017     48.610      0.000
    Category 2         0.183      0.017     10.860      0.000
 INJURE
    Category 1         0.988      0.004    255.712      0.000
    Category 2         0.012      0.004      3.099      0.002
 BLDG
    Category 1         0.993      0.003    352.604      0.000
    Category 2         0.007      0.003      2.536      0.011

Latent Class 2

 LT50
    Category 1         0.896      0.007    119.794      0.000
    Category 2         0.104      0.007     13.968      0.000
 THREAT
    Category 1         0.090      0.025      3.675      0.000
    Category 2         0.910      0.025     36.992      0.000
 INJURE
    Category 1         0.633      0.027     23.639      0.000
    Category 2         0.367      0.027     13.706      0.000
 BLDG
    Category 1         0.993      0.003    352.604      0.000
    Category 2         0.007      0.003      2.536      0.011

Latent Class 3

 LT50
    Category 1         0.332      0.035      9.444      0.000
    Category 2         0.668      0.035     18.989      0.000
 THREAT
    Category 1         0.817      0.017     48.610      0.000
    Category 2         0.183      0.017     10.860      0.000
 INJURE
    Category 1         0.988      0.004    255.712      0.000
    Category 2         0.012      0.004      3.099      0.002
 BLDG
    Category 1         0.655      0.029     22.236      0.000
    Category 2         0.345      0.029     11.707      0.000

Latent Class 4

 LT50
    Category 1         0.332      0.035      9.444      0.000
    Category 2         0.668      0.035     18.989      0.000
 THREAT
    Category 1         0.090      0.025      3.675      0.000
    Category 2         0.910      0.025     36.992      0.000
 INJURE
    Category 1         0.633      0.027     23.639      0.000
    Category 2         0.367      0.027     13.706      0.000
 BLDG
    Category 1         0.655      0.029     22.236      0.000
    Category 2         0.345      0.029     11.707      0.000


LATENT CLASS ODDS RATIO RESULTS

Latent Class 1 Compared to Latent Class 2

 LT50
    Category > 1       1.000      0.000    999.000    999.000
 THREAT
    Category > 1       0.022      0.007      3.383      0.001
 INJURE
    Category > 1       0.021      0.007      3.098      0.002
 BLDG
    Category > 1       1.000      0.000    999.000    999.000

Latent Class 1 Compared to Latent Class 3

 LT50
    Category > 1       0.058      0.009      6.320      0.000
 THREAT
    Category > 1       1.000      0.000    999.000    999.000
 INJURE
    Category > 1       1.000      0.000    999.000    999.000
 BLDG
    Category > 1       0.014      0.005      2.622      0.009

Latent Class 1 Compared to Latent Class 4

 LT50
    Category > 1       0.058      0.009      6.320      0.000
 THREAT
    Category > 1       0.022      0.007      3.383      0.001
 INJURE
    Category > 1       0.021      0.007      3.098      0.002
 BLDG
    Category > 1       0.014      0.005      2.622      0.009

Latent Class 2 Compared to Latent Class 3

 LT50
    Category > 1       0.058      0.009      6.320      0.000
 THREAT
    Category > 1      45.052     13.316      3.383      0.001
 INJURE
    Category > 1      47.844     15.443      3.098      0.002
 BLDG
    Category > 1       0.014      0.005      2.622      0.009

Latent Class 2 Compared to Latent Class 4

 LT50
    Category > 1       0.058      0.009      6.320      0.000
 THREAT
    Category > 1       1.000      0.000    999.000    999.000
 INJURE
    Category > 1       1.000      0.000    999.000    999.000
 BLDG
    Category > 1       0.014      0.005      2.622      0.009

Latent Class 3 Compared to Latent Class 4

 LT50
    Category > 1       1.000      0.000    999.000    999.000
 THREAT
    Category > 1       0.022      0.007      3.383      0.001
 INJURE
    Category > 1       0.021      0.007      3.098      0.002
 BLDG
    Category > 1       1.000      0.000    999.000    999.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.369E-02
       (ratio of smallest to largest eigenvalue)


TECHNICAL 8 OUTPUT


  INITIAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.14601952D+05    0.0000000    0.0000000   2774.869  1998.734    EM
                                                   1342.363  1210.033
     2 -0.11864637D+05 2737.3151074    0.1874623   2939.299  1871.210    EM
                                                   1245.379  1270.112
     3 -0.11781284D+05   83.3529306    0.0070253   3114.654  1742.066    EM
                                                   1144.842  1324.437
     4 -0.11709166D+05   72.1181844    0.0061214   3287.092  1621.975    EM
                                                   1046.551  1370.381
     5 -0.11649567D+05   59.5988537    0.0050899   3445.248  1518.331    EM
                                                    956.514  1405.908
     6 -0.11603908D+05   45.6595203    0.0039194   3581.632  1434.936    EM
                                                    879.295  1430.137
     7 -0.11572074D+05   31.8339658    0.0027434   3693.315  1372.191    EM
                                                    816.946  1443.548
     8 -0.11551918D+05   20.1558677    0.0017418   3781.435  1327.902    EM
                                                    768.960  1447.702
     9 -0.11540135D+05   11.7835492    0.0010201   3849.703  1298.492    EM
                                                    733.093  1444.712
    10 -0.11533535D+05    6.5992561    0.0005719   3902.722  1280.128    EM
                                                    706.428  1436.721


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.34053526D+05    0.0000000    0.0000000   2897.121  3680.493    EM
                                                    267.241   481.145
     2 -0.12165996D+05 ************    0.6427390   2911.863  3657.578    EM
                                                    253.339   503.221
     3 -0.12097877D+05   68.1187351    0.0055991   2941.154  3623.645    EM
                                                    231.502   529.700
     4 -0.12047620D+05   50.2574498    0.0041542   2988.624  3572.922    EM
                                                    203.458   560.996
     5 -0.11994270D+05   53.3491789    0.0044282   3058.733  3498.782    EM
                                                    172.450   596.035
     6 -0.11930600D+05   63.6704960    0.0053084   3154.626  3397.204    EM
                                                    142.175   631.995
     7 -0.11860573D+05   70.0263998    0.0058695   3274.144  3270.200    EM
                                                    115.499   666.156
     8 -0.11792465D+05   68.1082035    0.0057424   3409.103  3125.997    EM
                                                     93.728   697.172
     9 -0.11732029D+05   60.4361862    0.0051250   3548.928  2975.203    EM
                                                     76.902   724.967
    10 -0.11681067D+05   50.9618673    0.0043438   3684.404  2827.125    EM
                                                     64.410   750.060


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.42561629D+05    0.0000000    0.0000000    756.597  1963.052    EM
                                                   1387.306  3219.045
     2 -0.12398770D+05 ************    0.7086867    778.208  1941.809    EM
                                                   1313.518  3292.465
     3 -0.12207070D+05  191.7003898    0.0154612    821.741  1874.751    EM
                                                   1266.107  3363.401
     4 -0.12082299D+05  124.7715282    0.0102213    885.461  1775.456    EM
                                                   1220.053  3445.029
     5 -0.11962782D+05  119.5162404    0.0098918    962.493  1656.817    EM
                                                   1161.602  3545.088
     6 -0.11837125D+05  125.6577004    0.0105041   1039.661  1533.123    EM
                                                   1088.910  3664.306
     7 -0.11723757D+05  113.3680390    0.0095773   1106.434  1415.849    EM
                                                   1011.849  3791.867
     8 -0.11640673D+05   83.0835021    0.0070868   1159.789  1311.283    EM
                                                    943.223  3911.705
     9 -0.11588700D+05   51.9731817    0.0044648   1200.339  1222.660    EM
                                                    889.761  4013.241
    10 -0.11559392D+05   29.3079491    0.0025290   1229.478  1150.887    EM
                                                    851.794  4093.842


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.33161328D+05    0.0000000    0.0000000   1864.727  2217.915    EM
                                                   1302.592  1940.765
     2 -0.12185806D+05 ************    0.6325296   1807.595  2290.526    EM
                                                   1356.742  1871.138
     3 -0.12023273D+05  162.5331554    0.0133379   1721.944  2398.901    EM
                                                   1409.053  1796.102
     4 -0.11917930D+05  105.3430121    0.0087616   1617.477  2537.431    EM
                                                   1457.733  1713.359
     5 -0.11838339D+05   79.5907254    0.0066782   1507.731  2694.512    EM
                                                   1503.872  1619.885
     6 -0.11771702D+05   66.6374447    0.0056290   1402.308  2859.611    EM
                                                   1546.740  1517.340
     7 -0.11713899D+05   57.8032046    0.0049104   1307.475  3023.400    EM
                                                   1584.429  1410.695
     8 -0.11664759D+05   49.1397246    0.0041950   1227.092  3177.776    EM
                                                   1614.975  1306.158
     9 -0.11625171D+05   39.5880119    0.0033938   1162.950  3316.559    EM
                                                   1637.063  1209.428
    10 -0.11595436D+05   29.7345394    0.0025578   1115.004  3436.205    EM
                                                   1650.310  1124.482


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.22493314D+05    0.0000000    0.0000000   1384.122   264.936    EM
                                                   5286.835   390.106
     2 -0.12297743D+05 ************    0.4532712   1382.409   268.572    EM
                                                   5290.401   384.618
     3 -0.12265702D+05   32.0416763    0.0026055   1385.294   281.850    EM
                                                   5273.734   385.122
     4 -0.12241817D+05   23.8849078    0.0019473   1391.186   303.908    EM
                                                   5241.516   389.390
     5 -0.12220416D+05   21.4009166    0.0017482   1398.549   335.180    EM
                                                   5195.610   396.661
     6 -0.12200206D+05   20.2101899    0.0016538   1406.048   376.311    EM
                                                   5137.411   406.230
     7 -0.12180689D+05   19.5164930    0.0015997   1412.560   427.982    EM
                                                   5068.176   417.282
     8 -0.12161228D+05   19.4612334    0.0015977   1417.133   490.979    EM
                                                   4988.845   429.044
     9 -0.12141041D+05   20.1871421    0.0016600   1418.943   566.231    EM
                                                   4899.951   440.876
    10 -0.12119399D+05   21.6420211    0.0017826   1417.276   654.747    EM
                                                   4801.718   452.260


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.17934675D+05    0.0000000    0.0000000   2025.666  1340.360    EM
                                                   1278.768  2681.206
     2 -0.11874325D+05 6060.3505521    0.3379125   2179.437  1276.004    EM
                                                   1236.544  2634.014
     3 -0.11784574D+05   89.7507540    0.0075584   2346.412  1211.104    EM
                                                   1191.011  2577.474
     4 -0.11728031D+05   56.5432131    0.0047981   2511.613  1152.942    EM
                                                   1141.606  2519.839
     5 -0.11685120D+05   42.9104241    0.0036588   2666.554  1104.574    EM
                                                   1091.440  2463.431
     6 -0.11651803D+05   33.3172388    0.0028513   2805.626  1067.401    EM
                                                   1043.762  2409.212
     7 -0.11626643D+05   25.1598571    0.0021593   2925.787  1041.677    EM
                                                   1000.959  2357.577
     8 -0.11608382D+05   18.2608484    0.0015706   3026.389  1026.786    EM
                                                    964.274  2308.551
     9 -0.11595559D+05   12.8229855    0.0011046   3108.666  1021.529    EM
                                                    933.886  2261.919
    10 -0.11586680D+05    8.8791858    0.0007657   3175.018  1024.409    EM
                                                    909.208  2217.365


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.31999663D+05    0.0000000    0.0000000    517.016  6377.413    EM
                                                    217.029   214.542
     2 -0.12248464D+05 ************    0.6172315    538.748  6352.953    EM
                                                    167.355   266.943
     3 -0.12177439D+05   71.0248090    0.0057987    576.693  6299.423    EM
                                                    125.449   324.435
     4 -0.12121636D+05   55.8036185    0.0045825    625.181  6234.829    EM
                                                     89.189   376.801
     5 -0.12081084D+05   40.5517139    0.0033454    682.493  6166.462    EM
                                                     60.559   416.485
     6 -0.12054099D+05   26.9851123    0.0022337    747.759  6094.583    EM
                                                     39.990   443.668
     7 -0.12034626D+05   19.4730659    0.0016155    820.602  6017.280    EM
                                                     26.064   462.055
     8 -0.12018438D+05   16.1878584    0.0013451    901.037  5932.964    EM
                                                     16.911   475.088
     9 -0.12003508D+05   14.9301037    0.0012423    989.286  5840.667    EM
                                                     10.972   485.075
    10 -0.11988823D+05   14.6847580    0.0012234   1085.626  5739.801    EM
                                                      7.138   493.435


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.16956775D+05    0.0000000    0.0000000   6714.882   119.013    EM
                                                     16.932   475.173
     2 -0.11864532D+05 5092.2425718    0.3003073   6644.182   149.299    EM
                                                     18.490   514.030
     3 -0.11701526D+05  163.0068109    0.0137390   6572.347   170.881    EM
                                                     21.246   561.526
     4 -0.11657283D+05   44.2425302    0.0037809   6507.082   197.157    EM
                                                     25.100   596.661
     5 -0.11630480D+05   26.8032315    0.0022993   6443.115   228.224    EM
                                                     30.113   624.548
     6 -0.11608238D+05   22.2418134    0.0019124   6380.049   262.865    EM
                                                     36.556   646.531
     7 -0.11589585D+05   18.6532431    0.0016069   6318.613   299.832    EM
                                                     44.674   662.881
     8 -0.11573889D+05   15.6957318    0.0013543   6259.367   338.006    EM
                                                     54.548   674.079
     9 -0.11560486D+05   13.4026217    0.0011580   6202.670   376.430    EM
                                                     66.027   680.873
    10 -0.11548952D+05   11.5345154    0.0009978   6148.822   414.280    EM
                                                     78.717   684.181


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.18366963D+05    0.0000000    0.0000000   6635.654    29.297    EM
                                                    318.595   342.455
     2 -0.12019953D+05 6347.0104204    0.3455667   6617.421    27.530    EM
                                                    304.716   376.333
     3 -0.11854177D+05  165.7756150    0.0137917   6562.135    30.817    EM
                                                    275.377   457.672
     4 -0.11744044D+05  110.1332702    0.0092907   6487.955    40.400    EM
                                                    260.761   536.884
     5 -0.11687277D+05   56.7664186    0.0048336   6406.249    56.852    EM
                                                    259.690   603.210
     6 -0.11648239D+05   39.0378349    0.0033402   6320.454    79.988    EM
                                                    265.817   659.741
     7 -0.11615674D+05   32.5651287    0.0027957   6235.552   108.458    EM
                                                    275.438   706.552
     8 -0.11589505D+05   26.1689257    0.0022529   6156.971   140.024    EM
                                                    286.479   742.527
     9 -0.11570303D+05   19.2023777    0.0016569   6087.590   172.579    EM
                                                    297.621   768.210
    10 -0.11556789D+05   13.5141960    0.0011680   6027.371   204.860    EM
                                                    308.050   785.719


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.20130167D+05    0.0000000    0.0000000   6670.381    62.837    EM
                                                    159.754   433.028
     2 -0.11753307D+05 8376.8594808    0.4161346   6594.257   102.348    EM
                                                    205.356   424.039
     3 -0.11689485D+05   63.8224164    0.0054302   6514.192   147.144    EM
                                                    241.651   423.013
     4 -0.11651629D+05   37.8557889    0.0032384   6441.981   193.386    EM
                                                    271.639   418.994
     5 -0.11623247D+05   28.3823658    0.0024359   6379.334   237.999    EM
                                                    294.934   413.733
     6 -0.11601328D+05   21.9185172    0.0018857   6325.503   279.072    EM
                                                    311.054   410.370
     7 -0.11584733D+05   16.5950973    0.0014304   6279.058   315.749    EM
                                                    320.284   410.909
     8 -0.11572298D+05   12.4347936    0.0010734   6238.348   348.033    EM
                                                    323.609   416.010
     9 -0.11562720D+05    9.5780180    0.0008277   6201.772   376.475    EM
                                                    322.333   425.419
    10 -0.11554911D+05    7.8093006    0.0006754   6167.973   401.837    EM
                                                    317.767   438.423


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.31761520D+05    0.0000000    0.0000000   3407.498  3875.224    EM
                                                     21.839    21.439
     2 -0.12412484D+05 ************    0.6091974   3356.092  3924.334    EM
                                                     22.004    23.570
     3 -0.12316886D+05   95.5987198    0.0077018   3342.528  3930.561    EM
                                                     23.414    29.497
     4 -0.12243063D+05   73.8231593    0.0059937   3352.008  3901.367    EM
                                                     26.908    45.717
     5 -0.12154785D+05   88.2777962    0.0072104   3378.216  3828.848    EM
                                                     32.369    86.568
     6 -0.12030644D+05  124.1409568    0.0102133   3425.639  3712.693    EM
                                                     33.686   153.982
     7 -0.11912044D+05  118.5999868    0.0098582   3506.272  3583.133    EM
                                                     26.749   209.847
     8 -0.11837623D+05   74.4204241    0.0062475   3613.069  3455.873    EM
                                                     18.214   238.844
     9 -0.11785985D+05   51.6379236    0.0043622   3729.966  3329.686    EM
                                                     12.052   254.295
    10 -0.11743711D+05   42.2746685    0.0035869   3846.719  3205.599    EM
                                                      8.180   265.502


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET


    10 -0.11533535D+05    6.5992561    0.0005719   3902.722  1280.128    EM
                                                    706.428  1436.721
    11 -0.11529789D+05    3.7461102    0.0003248   3944.793  1269.440    EM
                                                    686.197  1425.569
    12 -0.11527487D+05    2.3018121    0.0001996   3979.365  1263.802    EM
                                                    670.172  1412.661
    13 -0.11525884D+05    1.6037650    0.0001391   4008.959  1261.322    EM
                                                    656.739  1398.979
    14 -0.11524615D+05    1.2686091    0.0001101   4035.313  1260.715    EM
                                                    644.815  1385.158
    15 -0.11523513D+05    1.1019523    0.0000956   4059.576  1261.139    EM
                                                    633.710  1371.575
    16 -0.11522500D+05    1.0126740    0.0000879   4082.492  1262.063    EM
                                                    623.010  1358.435
    17 -0.11521541D+05    0.9596713    0.0000833   4104.534  1263.159    EM
                                                    612.477  1345.831
    18 -0.11520616D+05    0.9244572    0.0000802   4125.996  1264.233    EM
                                                    601.985  1333.786
    19 -0.11519718D+05    0.8984415    0.0000780   4147.061  1265.174    EM
                                                    591.478  1322.287
    20 -0.11518840D+05    0.8773582    0.0000762   4167.839  1265.925    EM
                                                    580.938  1311.298
    21 -0.11517982D+05    0.8588876    0.0000746   4188.392  1266.458    EM
                                                    570.373  1300.777
    22 -0.11517140D+05    0.8416454    0.0000731   4208.754  1266.767    EM
                                                    559.803  1290.676
    23 -0.11516315D+05    0.8247420    0.0000716   4228.940  1266.856    EM
                                                    549.252  1280.952
    24 -0.11515508D+05    0.8075829    0.0000701   4248.951  1266.733    EM
                                                    538.752  1271.564
    25 -0.11514718D+05    0.7897700    0.0000686   4268.779  1266.412    EM
                                                    528.331  1262.477
    26 -0.11513947D+05    0.7710481    0.0000670   4288.414  1265.906    EM
                                                    518.021  1253.658
    27 -0.11513195D+05    0.7512728    0.0000652   4307.839  1265.228    EM
                                                    507.851  1245.082
    28 -0.11512465D+05    0.7303881    0.0000634   4327.036  1264.391    EM
                                                    497.847  1236.726
    29 -0.11511757D+05    0.7084087    0.0000615   4345.987  1263.406    EM
                                                    488.037  1228.570
    30 -0.11511071D+05    0.6854060    0.0000595   4364.674  1262.283    EM
                                                    478.443  1220.601
    31 -0.11510410D+05    0.6614954    0.0000575   4383.077  1261.031    EM
                                                    469.087  1212.805
    32 -0.11509773D+05    0.6368248    0.0000553   4401.182  1259.656    EM
                                                    459.989  1205.173
    33 -0.11509161D+05    0.6115641    0.0000531   4418.970  1258.166    EM
                                                    451.164  1197.699
    34 -0.11508575D+05    0.5858965    0.0000509   4436.430  1256.566    EM
                                                    442.628  1190.376
    35 -0.11508015D+05    0.5600099    0.0000487   4453.548  1254.859    EM
                                                    434.392  1183.202
    36 -0.11507481D+05    0.5340901    0.0000464   4470.314  1253.048    EM
                                                    426.465  1176.173
    37 -0.11506973D+05    0.5083156    0.0000442   4486.720  1251.136    EM
                                                    418.855  1169.290
    38 -0.11506490D+05    0.4828525    0.0000420   4502.760  1249.126    EM
                                                    411.565  1162.550
    39 -0.11506032D+05    0.4578519    0.0000398   4518.429  1247.018    EM
                                                    404.598  1155.954
    40 -0.11505599D+05    0.4334472    0.0000377   4533.727  1244.814    EM
                                                    397.956  1149.504
    41 -0.11505189D+05    0.4097530    0.0000356   4548.651  1242.516    EM
                                                    391.635  1143.198
    42 -0.11504802D+05    0.3868652    0.0000336   4563.202  1240.123    EM
                                                    385.635  1137.040
    43 -0.11504437D+05    0.3648603    0.0000317   4577.384  1237.638    EM
                                                    379.950  1131.028
    44 -0.11504094D+05    0.3437969    0.0000299   4591.199  1235.062    EM
                                                    374.575  1125.164
    45 -0.11503770D+05    0.3237169    0.0000281   4604.653  1232.395    EM
                                                    369.502  1119.449
    46 -0.11503465D+05    0.3046463    0.0000265   4617.751  1229.641    EM
                                                    364.726  1113.883
    47 -0.11503179D+05    0.2865974    0.0000249   4630.500  1226.799    EM
                                                    360.236  1108.465
    48 -0.11502909D+05    0.2695704    0.0000234   4642.906  1223.873    EM
                                                    356.024  1103.196
    49 -0.11502656D+05    0.2535546    0.0000220   4654.978  1220.865    EM
                                                    352.082  1098.075
    50 -0.11502417D+05    0.2385308    0.0000207   4666.723  1217.778    EM
                                                    348.398  1093.101
    51 -0.11502193D+05    0.2244724    0.0000195   4678.150  1214.614    EM
                                                    344.963  1088.272
    52 -0.11501981D+05    0.2113467    0.0000184   4689.267  1211.377    EM
                                                    341.768  1083.588
    53 -0.11501782D+05    0.1991168    0.0000173   4700.083  1208.070    EM
                                                    338.801  1079.045
    54 -0.11501594D+05    0.1877424    0.0000163   4710.606  1204.697    EM
                                                    336.053  1074.643
    55 -0.11501417D+05    0.1771810    0.0000154   4720.846  1201.261    EM
                                                    333.514  1070.378
    56 -0.11501250D+05    0.1673889    0.0000146   4730.812  1197.767    EM
                                                    331.173  1066.248
    57 -0.11501091D+05    0.1583217    0.0000138   4740.510  1194.218    EM
                                                    329.021  1062.250
    58 -0.11500942D+05    0.1499354    0.0000130   4749.951  1190.618    EM
                                                    327.049  1058.382
    59 -0.11500799D+05    0.1421869    0.0000124   4759.143  1186.972    EM
                                                    325.246  1054.639
    60 -0.11500664D+05    0.1350341    0.0000117   4768.094  1183.284    EM
                                                    323.603  1051.019
    61 -0.11500536D+05    0.1284368    0.0000112   4776.811  1179.558    EM
                                                    322.112  1047.518
    62 -0.11500414D+05    0.1223567    0.0000106   4785.304  1175.799    EM
                                                    320.763  1044.134
    63 -0.11500297D+05    0.1167575    0.0000102   4793.580  1172.010    EM
                                                    319.549  1040.861
    64 -0.11494469D+05    5.8273294    0.0005067   5288.902   963.333    QN
                                                    228.037   845.729
    65 -0.11494469D+05    0.0000000    0.0000000   5288.902   963.333    EM
                                                    228.037   845.729


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


    10 -0.11548952D+05   11.5345154    0.0009978   6148.822   414.280    EM
                                                     78.717   684.181
    11 -0.11539099D+05    9.8525683    0.0008531   6098.104   450.841    EM
                                                     92.056   685.000
    12 -0.11530852D+05    8.2476169    0.0007148   6050.734   485.520    EM
                                                    105.430   684.316
    13 -0.11524120D+05    6.7315951    0.0005838   6006.817   517.876    EM
                                                    118.300   683.007
    14 -0.11518751D+05    5.3686623    0.0004659   5966.322   547.647    EM
                                                    130.274   681.758
    15 -0.11514539D+05    4.2124665    0.0003657   5929.099   574.745    EM
                                                    141.124   681.032
    16 -0.11511259D+05    3.2802387    0.0002849   5894.922   599.226    EM
                                                    150.766   681.087
    17 -0.11508702D+05    2.5567902    0.0002221   5863.519   621.248    EM
                                                    159.217   682.015
    18 -0.11506693D+05    2.0092942    0.0001746   5834.612   641.029    EM
                                                    166.560   683.799
    19 -0.11505092D+05    1.6003700    0.0001391   5807.929   658.810    EM
                                                    172.910   686.352
    20 -0.11503797D+05    1.2957873    0.0001126   5783.222   674.832    EM
                                                    178.393   689.553
    21 -0.11502729D+05    1.0675825    0.0000928   5760.270   689.321    EM
                                                    183.134   693.274
    22 -0.11501835D+05    0.8944303    0.0000778   5738.880   702.482    EM
                                                    187.249   697.390
    23 -0.11501074D+05    0.7607586    0.0000661   5718.883   714.493    EM
                                                    190.836   701.788
    24 -0.11500418D+05    0.6555008    0.0000570   5700.136   725.509    EM
                                                    193.985   706.369
    25 -0.11499847D+05    0.5709111    0.0000496   5682.517   735.663    EM
                                                    196.767   711.054
    26 -0.11499346D+05    0.5016001    0.0000436   5665.918   745.064    EM
                                                    199.243   715.775
    27 -0.11498902D+05    0.4438112    0.0000386   5650.250   753.807    EM
                                                    201.462   720.481
    28 -0.11498507D+05    0.3949035    0.0000343   5635.432   761.971    EM
                                                    203.466   725.131
    29 -0.11498154D+05    0.3529942    0.0000307   5621.397   769.622    EM
                                                    205.287   729.694
    30 -0.11497837D+05    0.3167153    0.0000275   5608.084   776.816    EM
                                                    206.952   734.148
    31 -0.11497552D+05    0.2850521    0.0000248   5595.441   783.600    EM
                                                    208.482   738.478
    32 -0.11497295D+05    0.2572336    0.0000224   5583.419   790.015    EM
                                                    209.895   742.671
    33 -0.11497062D+05    0.2326612    0.0000202   5571.977   796.095    EM
                                                    211.205   746.723
    34 -0.11496852D+05    0.2108600    0.0000183   5561.077   801.870    EM
                                                    212.425   750.629
    35 -0.11496660D+05    0.1914456    0.0000167   5550.684   807.365    EM
                                                    213.563   754.388
    36 -0.11494678D+05    1.9816956    0.0001724   5336.238   951.546    FS
                                                    219.139   819.077
    37 -0.11494472D+05    0.2059283    0.0000179   5298.108   958.048    FS
                                                    227.295   842.549
    38 -0.11494470D+05    0.0028958    0.0000003   5290.293   963.370    FS
                                                    227.486   844.850
    39 -0.11494469D+05    0.0001210    0.0000000   5289.315   963.047    FS
                                                    228.031   845.606
    40 -0.11494469D+05    0.0000058    0.0000000   5288.963   963.341    FS
                                                    228.009   845.687
    41 -0.11494469D+05    0.0000003    0.0000000   5288.925   963.314    FS
                                                    228.038   845.723
    42 -0.11494469D+05    0.0000000    0.0000000   5288.907   963.330    FS
                                                    228.036   845.726


     Beginning Time:  23:00:41
        Ending Time:  23:00:41
       Elapsed Time:  00:00:00



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