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

INPUT INSTRUCTIONS

  TITLE:	this is an example of a LCA with binary latent class indicators and
          parameter constraints
  DATA:	FILE IS ex7.13.dat;
  VARIABLE:	NAMES ARE u1-u4;
  	CLASSES = c (2);
  	CATEGORICAL = u1-u4;
  ANALYSIS:	TYPE = MIXTURE;
  MODEL:
  	%OVERALL%
  	%c#1%
  	[u1$1*-1];
  	[u2$1-u3$1*-1] (1);
  	[u4$1*-1] (p1);
  	%c#2%
  	[u1$1@-15];
  	[u2$1-u3$1*1] (2);
  	[u4$1*1] (p2);
  MODEL CONSTRAINT:
  	p2 = - p1;
  OUTPUT:	TECH1 TECH8;



INPUT READING TERMINATED NORMALLY



this is an example of a LCA with binary latent class indicators and
parameter constraints

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

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

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4

Categorical latent variables
   C


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

Input data file(s)
  ex7.13.dat
Input data format  FREE


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1
      Category 1    0.093           93.000
      Category 2    0.907          907.000
    U2
      Category 1    0.598          598.000
      Category 2    0.402          402.000
    U3
      Category 1    0.608          608.000
      Category 2    0.392          392.000
    U4
      Category 1    0.632          632.000
      Category 2    0.368          368.000


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:

           -2208.165  285380           1
           -2208.165  127215           9
           -2208.165  939021           8
           -2208.165  195873           6



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                        5

Loglikelihood

          H0 Value                       -2208.165
          H0 Scaling Correction Factor      1.0287
            for MLR

Information Criteria

          Akaike (AIC)                    4426.329
          Bayesian (BIC)                  4450.868
          Sample-Size Adjusted BIC        4434.988
            (n* = (n + 2) / 24)

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

          Pearson Chi-Square

          Value                             18.173
          Degrees of Freedom                    10
          P-Value                           0.0521

          Likelihood Ratio Chi-Square

          Value                             18.994
          Degrees of Freedom                    10
          P-Value                           0.0403



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

    Latent
   Classes

       1        247.83182          0.24783
       2        752.16818          0.75217


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

    Latent
   Classes

       1        247.83181          0.24783
       2        752.16819          0.75217


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

Class Counts and Proportions

    Latent
   Classes

       1              176          0.17600
       2              824          0.82400


CLASSIFICATION QUALITY

     Entropy                         0.636


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

           1        2

    1   0.912    0.088
    2   0.106    0.894


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

           1        2

    1   0.648    0.352
    2   0.021    0.979


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

              1        2

    1      0.609    0.000
    2     -3.862    0.000


MODEL RESULTS

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

Latent Class 1

 Thresholds
    U1$1              -0.510      0.175     -2.913      0.004
    U2$1              -1.124      0.157     -7.147      0.000
    U3$1              -1.124      0.157     -7.147      0.000
    U4$1              -1.063      0.099    -10.760      0.000

Latent Class 2

 Thresholds
    U1$1             -15.000      0.000    999.000    999.000
    U2$1               0.949      0.078     12.213      0.000
    U3$1               0.949      0.078     12.213      0.000
    U4$1               1.063      0.099     10.760      0.000

Categorical Latent Variables

 Means
    C#1               -1.110      0.123     -8.996      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.377E-02
       (ratio of smallest to largest eigenvalue)


RESULTS IN PROBABILITY SCALE

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

Latent Class 1

 U1
    Category 1         0.375      0.041      9.148      0.000
    Category 2         0.625      0.041     15.231      0.000
 U2
    Category 1         0.245      0.029      8.429      0.000
    Category 2         0.755      0.029     25.927      0.000
 U3
    Category 1         0.245      0.029      8.429      0.000
    Category 2         0.755      0.029     25.927      0.000
 U4
    Category 1         0.257      0.019     13.614      0.000
    Category 2         0.743      0.019     39.424      0.000

Latent Class 2

 U1
    Category 1         0.000      0.000      0.000      1.000
    Category 2         1.000      0.000      0.000      1.000
 U2
    Category 1         0.721      0.016     46.119      0.000
    Category 2         0.279      0.016     17.860      0.000
 U3
    Category 1         0.721      0.016     46.119      0.000
    Category 2         0.279      0.016     17.860      0.000
 U4
    Category 1         0.743      0.019     39.424      0.000
    Category 2         0.257      0.019     13.614      0.000


LATENT CLASS INDICATOR ODDS RATIOS FOR THE LATENT CLASSES

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

Latent Class 1 Compared to Latent Class 2

 U1
    Category > 1       0.000      0.000      0.000      0.000
 U2
    Category > 1       7.943      1.413      5.605     11.257
 U3
    Category > 1       7.943      1.413      5.605     11.257
 U4
    Category > 1       8.386      1.657      5.693     12.353


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


     PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    1             2             2             3


           TAU(U) FOR LATENT CLASS 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
                    0             4             4             5


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
                    6             0


     STARTING VALUES FOR LATENT CLASS 1


     STARTING VALUES FOR LATENT CLASS 2


     STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART


           TAU(U) FOR LATENT CLASS 1
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
               -1.000        -1.000        -1.000        -1.000


           TAU(U) FOR LATENT CLASS 2
              U1$1          U2$1          U3$1          U4$1
              ________      ________      ________      ________
              -15.000         1.000         1.000         1.000


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
                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 -0.22700876D+04    0.0000000    0.0000000  EM
              2 -0.22237762D+04   46.3114487    0.0204007  EM
              3 -0.22176710D+04    6.1051444    0.0027454  EM
              4 -0.22138377D+04    3.8333460    0.0017285  EM
              5 -0.22115488D+04    2.2889103    0.0010339  EM
              6 -0.22102061D+04    1.3426358    0.0006071  EM
              7 -0.22094127D+04    0.7934447    0.0003590  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.25915952D+04    0.0000000    0.0000000  EM
              2 -0.23010009D+04  290.5943627    0.1121295  EM
              3 -0.22553886D+04   45.6122189    0.0198228  EM
              4 -0.22259916D+04   29.3970242    0.0130341  EM
              5 -0.22138395D+04   12.1520665    0.0054592  EM
              6 -0.22102783D+04    3.5612121    0.0016086  EM
              7 -0.22092239D+04    1.0543988    0.0004770  EM
              8 -0.22087852D+04    0.4386864    0.0001986  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.29371911D+04    0.0000000    0.0000000  EM
              2 -0.23410530D+04  596.1381380    0.2029620  EM
              3 -0.22275067D+04  113.5462753    0.0485022  EM
              4 -0.22232749D+04    4.2317641    0.0018998  EM
              5 -0.22202348D+04    3.0401298    0.0013674  EM
              6 -0.22173591D+04    2.8757360    0.0012952  EM
              7 -0.22148371D+04    2.5219885    0.0011374  EM
              8 -0.22128097D+04    2.0274362    0.0009154  EM
              9 -0.22112972D+04    1.5124828    0.0006835  EM
             10 -0.22102308D+04    1.0663331    0.0004822  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.24012901D+04    0.0000000    0.0000000  EM
              2 -0.22248566D+04  176.4335119    0.0734745  EM
              3 -0.22186886D+04    6.1680262    0.0027723  EM
              4 -0.22159553D+04    2.7332468    0.0012319  EM
              5 -0.22136825D+04    2.2728764    0.0010257  EM
              6 -0.22119339D+04    1.7485289    0.0007899  EM
              7 -0.22106729D+04    1.2610821    0.0005701  EM
              8 -0.22098044D+04    0.8684162    0.0003928  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.24934514D+04    0.0000000    0.0000000  EM
              2 -0.22348715D+04  258.5798908    0.1037036  EM
              3 -0.22129755D+04   21.8960300    0.0097974  EM
              4 -0.22102808D+04    2.6946682    0.0012177  EM
              5 -0.22094014D+04    0.8794067    0.0003979  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.31408122D+04    0.0000000    0.0000000  EM
              2 -0.23955886D+04  745.2235577    0.2372710  EM
              3 -0.23575541D+04   38.0345232    0.0158769  EM
              4 -0.23422758D+04   15.2783082    0.0064806  EM
              5 -0.23336468D+04    8.6289478    0.0036840  EM
              6 -0.23282978D+04    5.3490166    0.0022921  EM
              7 -0.23247511D+04    3.5467345    0.0015233  EM
              8 -0.23222166D+04    2.5344786    0.0010902  EM
              9 -0.23202544D+04    1.9622149    0.0008450  EM
             10 -0.23186221D+04    1.6323073    0.0007035  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.37539087D+04    0.0000000    0.0000000  EM
              2 -0.23256333D+04 1428.2754398    0.3804769  EM
              3 -0.22172404D+04  108.3928927    0.0466079  EM
              4 -0.22089214D+04    8.3190008    0.0037520  EM
              5 -0.22083590D+04    0.5623666    0.0002546  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.30850730D+04    0.0000000    0.0000000  EM
              2 -0.22412305D+04  843.8424396    0.2735243  EM
              3 -0.22119328D+04   29.2977345    0.0130722  EM
              4 -0.22098479D+04    2.0848726    0.0009426  EM
              5 -0.22091433D+04    0.7046425    0.0003189  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.24949585D+04    0.0000000    0.0000000  EM
              2 -0.23127690D+04  182.1895043    0.0730231  EM
              3 -0.22086442D+04  104.1247936    0.0450217  EM
              4 -0.22082353D+04    0.4088493    0.0001851  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.35532418D+04    0.0000000    0.0000000  EM
              2 -0.24804227D+04 1072.8191053    0.3019269  EM
              3 -0.22905250D+04  189.8976386    0.0765586  EM
              4 -0.22101226D+04   80.4024449    0.0351022  EM
              5 -0.22087671D+04    1.3554524    0.0006133  EM
              6 -0.22084513D+04    0.3158522    0.0001430  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.27374675D+04    0.0000000    0.0000000  EM
              2 -0.22861237D+04  451.3437650    0.1648764  EM
              3 -0.22388013D+04   47.3224298    0.0206999  EM
              4 -0.22190934D+04   19.7079087    0.0088029  EM
              5 -0.22121476D+04    6.9457615    0.0031300  EM
              6 -0.22098551D+04    2.2925277    0.0010363  EM
              7 -0.22090306D+04    0.8244532    0.0003731  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.24431783D+04    0.0000000    0.0000000  EM
              2 -0.23050780D+04  138.1002794    0.0565248  EM
              3 -0.22926374D+04   12.4406899    0.0053971  EM
              4 -0.22852111D+04    7.4262249    0.0032392  EM
              5 -0.22784964D+04    6.7147046    0.0029383  EM
              6 -0.22710683D+04    7.4280794    0.0032601  EM
              7 -0.22622759D+04    8.7924890    0.0038715  EM
              8 -0.22521285D+04   10.1473233    0.0044854  EM
              9 -0.22413718D+04   10.7567552    0.0047763  EM
             10 -0.22312788D+04   10.0929664    0.0045030  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.28689710D+04    0.0000000    0.0000000  EM
              2 -0.23894649D+04  479.5061036    0.1671352  EM
              3 -0.23533645D+04   36.1003469    0.0151081  EM
              4 -0.23401685D+04   13.1960140    0.0056073  EM
              5 -0.23216079D+04   18.5606441    0.0079313  EM
              6 -0.22953709D+04   26.2369816    0.0113012  EM
              7 -0.22649362D+04   30.4346528    0.0132591  EM
              8 -0.22396779D+04   25.2583910    0.0111519  EM
              9 -0.22246076D+04   15.0702233    0.0067287  EM
             10 -0.22170357D+04    7.5719184    0.0034037  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.51268408D+04    0.0000000    0.0000000  EM
              2 -0.23450057D+04 2781.8351350    0.5426022  EM
              3 -0.23238630D+04   21.1426913    0.0090161  EM
              4 -0.23173724D+04    6.4906215    0.0027930  EM
              5 -0.23140290D+04    3.3433450    0.0014427  EM
              6 -0.23116578D+04    2.3712525    0.0010247  EM
              7 -0.23097141D+04    1.9436907    0.0008408  EM
              8 -0.23080471D+04    1.6670174    0.0007217  EM
              9 -0.23065979D+04    1.4491345    0.0006279  EM
             10 -0.23053297D+04    1.2682386    0.0005498  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.33670183D+04    0.0000000    0.0000000  EM
              2 -0.22373733D+04 1129.6449339    0.3355031  EM
              3 -0.22355227D+04    1.8506635    0.0008272  EM
              4 -0.22347149D+04    0.8077121    0.0003613  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.24379128D+04    0.0000000    0.0000000  EM
              2 -0.22679669D+04  169.9458991    0.0697096  EM
              3 -0.22528726D+04   15.0942690    0.0066554  EM
              4 -0.22428563D+04   10.0163375    0.0044460  EM
              5 -0.22346826D+04    8.1737138    0.0036443  EM
              6 -0.22276742D+04    7.0083858    0.0031362  EM
              7 -0.22217821D+04    5.8921331    0.0026450  EM
              8 -0.22171377D+04    4.6443415    0.0020904  EM
              9 -0.22137828D+04    3.3549200    0.0015132  EM
             10 -0.22115610D+04    2.2217858    0.0010036  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.30363715D+04    0.0000000    0.0000000  EM
              2 -0.23264064D+04  709.9651044    0.2338202  EM
              3 -0.22696332D+04   56.7731776    0.0244038  EM
              4 -0.22536696D+04   15.9635914    0.0070336  EM
              5 -0.22409256D+04   12.7440368    0.0056548  EM
              6 -0.22304047D+04   10.5209371    0.0046949  EM
              7 -0.22222693D+04    8.1353243    0.0036475  EM
              8 -0.22166451D+04    5.6241997    0.0025308  EM
              9 -0.22131311D+04    3.5140726    0.0015853  EM
             10 -0.22110724D+04    2.0586413    0.0009302  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.49109467D+04    0.0000000    0.0000000  EM
              2 -0.24236271D+04 2487.3196344    0.5064848  EM
              3 -0.23677693D+04   55.8577209    0.0230472  EM
              4 -0.23534278D+04   14.3415120    0.0060570  EM
              5 -0.23454512D+04    7.9766626    0.0033894  EM
              6 -0.23394119D+04    6.0392242    0.0025749  EM
              7 -0.23343871D+04    5.0248696    0.0021479  EM
              8 -0.23302510D+04    4.1360283    0.0017718  EM
              9 -0.23269980D+04    3.2530344    0.0013960  EM
             10 -0.23245330D+04    2.4650479    0.0010593  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.40899497D+04    0.0000000    0.0000000  EM
              2 -0.29906288D+04 1099.3209458    0.2687859  EM
              3 -0.23384990D+04  652.1298024    0.2180578  EM
              4 -0.23313409D+04    7.1580892    0.0030610  EM
              5 -0.23266154D+04    4.7254724    0.0020269  EM
              6 -0.23234825D+04    3.1329707    0.0013466  EM
              7 -0.23213647D+04    2.1177820    0.0009115  EM
              8 -0.23198171D+04    1.5475557    0.0006667  EM
              9 -0.23185600D+04    1.2571400    0.0005419  EM
             10 -0.23174457D+04    1.1142497    0.0004806  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.29512291D+04    0.0000000    0.0000000  EM
              2 -0.22782658D+04  672.9632747    0.2280281  EM
              3 -0.22522404D+04   26.0254356    0.0114234  EM
              4 -0.22393067D+04   12.9336451    0.0057426  EM
              5 -0.22290749D+04   10.2317957    0.0045692  EM
              6 -0.22212694D+04    7.8055355    0.0035017  EM
              7 -0.22159469D+04    5.3224521    0.0023961  EM
              8 -0.22126687D+04    3.2782683    0.0014794  EM
              9 -0.22107758D+04    1.8928748    0.0008555  EM
             10 -0.22097059D+04    1.0699312    0.0004840  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.33806708D+04    0.0000000    0.0000000  EM
              2 -0.24218812D+04  958.7895644    0.2836093  EM
              3 -0.23445251D+04   77.3561437    0.0319405  EM
              4 -0.23284832D+04   16.0418297    0.0068423  EM
              5 -0.23104986D+04   17.9846279    0.0077238  EM
              6 -0.22886953D+04   21.8033432    0.0094366  EM
              7 -0.22662524D+04   22.4428350    0.0098060  EM
              8 -0.22476198D+04   18.6326123    0.0082218  EM
              9 -0.22339966D+04   13.6232526    0.0060612  EM
             10 -0.22243973D+04    9.5992729    0.0042969  EM


  FINAL STAGE ITERATIONS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8


              4 -0.22082353D+04    0.4088493    0.0001851  EM
              5 -0.22081862D+04    0.0491693    0.0000223  EM
              6 -0.22081725D+04    0.0137014    0.0000062  EM
              7 -0.22081681D+04    0.0043933    0.0000020  EM
              8 -0.22081664D+04    0.0016718    0.0000008  EM
              9 -0.22081657D+04    0.0007624    0.0000003  EM
             10 -0.22081652D+04    0.0004022    0.0000002  EM
             11 -0.22081650D+04    0.0002323    0.0000001  EM
             12 -0.22081649D+04    0.0001406    0.0000001  EM
             13 -0.22081648D+04    0.0000870    0.0000000  EM
             14 -0.22081647D+04    0.0000544    0.0000000  EM
             15 -0.22081647D+04    0.0000342    0.0000000  EM
             16 -0.22081647D+04    0.0000215    0.0000000  EM
             17 -0.22081647D+04    0.0000135    0.0000000  EM
             18 -0.22081647D+04    0.0000085    0.0000000  EM
             19 -0.22081647D+04    0.0000054    0.0000000  EM
             20 -0.22081646D+04    0.0000034    0.0000000  EM
             21 -0.22081646D+04    0.0000021    0.0000000  EM
             22 -0.22081646D+04    0.0000013    0.0000000  EM
             23 -0.22081646D+04    0.0000008    0.0000000  EM
             24 -0.22081646D+04    0.0000005    0.0000000  EM
             25 -0.22081646D+04    0.0000003    0.0000000  EM
             26 -0.22081646D+04    0.0000002    0.0000000  EM
             27 -0.22081646D+04    0.0000001    0.0000000  EM
             28 -0.22081646D+04    0.0000001    0.0000000  EM
             29 -0.22081646D+04    0.0000001    0.0000000  EM
             30 -0.22081646D+04    0.0000000    0.0000000  EM
             31 -0.22081646D+04    0.0000000    0.0000000  EM
             32 -0.22081646D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6


              5 -0.22083590D+04    0.5623666    0.0002546  EM
              6 -0.22082178D+04    0.1412609    0.0000640  EM
              7 -0.22081800D+04    0.0377899    0.0000171  EM
              8 -0.22081694D+04    0.0105643    0.0000048  EM
              9 -0.22081663D+04    0.0031044    0.0000014  EM
             10 -0.22081653D+04    0.0009867    0.0000004  EM
             11 -0.22081650D+04    0.0003551    0.0000002  EM
             12 -0.22081648D+04    0.0001502    0.0000001  EM
             13 -0.22081647D+04    0.0000744    0.0000000  EM
             14 -0.22081647D+04    0.0000412    0.0000000  EM
             15 -0.22081647D+04    0.0000244    0.0000000  EM
             16 -0.22081647D+04    0.0000150    0.0000000  EM
             17 -0.22081647D+04    0.0000093    0.0000000  EM
             18 -0.22081647D+04    0.0000058    0.0000000  EM
             19 -0.22081646D+04    0.0000037    0.0000000  EM
             20 -0.22081646D+04    0.0000023    0.0000000  EM
             21 -0.22081646D+04    0.0000015    0.0000000  EM
             22 -0.22081646D+04    0.0000009    0.0000000  EM
             23 -0.22081646D+04    0.0000006    0.0000000  EM
             24 -0.22081646D+04    0.0000004    0.0000000  EM
             25 -0.22081646D+04    0.0000002    0.0000000  EM
             26 -0.22081646D+04    0.0000001    0.0000000  EM
             27 -0.22081646D+04    0.0000001    0.0000000  EM
             28 -0.22081646D+04    0.0000001    0.0000000  EM
             29 -0.22081646D+04    0.0000000    0.0000000  EM
             30 -0.22081646D+04    0.0000000    0.0000000  EM
             31 -0.22081646D+04    0.0000000    0.0000000  EM


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9


              6 -0.22084513D+04    0.3158522    0.0001430  EM
              7 -0.22083255D+04    0.1257686    0.0000569  EM
              8 -0.22082611D+04    0.0644053    0.0000292  EM
              9 -0.22082241D+04    0.0370544    0.0000168  EM
             10 -0.22082017D+04    0.0223977    0.0000101  EM
             11 -0.22081878D+04    0.0138341    0.0000063  EM
             12 -0.22081792D+04    0.0086288    0.0000039  EM
             13 -0.22081738D+04    0.0054066    0.0000024  EM
             14 -0.22081704D+04    0.0033950    0.0000015  EM
             15 -0.22081683D+04    0.0021342    0.0000010  EM
             16 -0.22081669D+04    0.0013424    0.0000006  EM
             17 -0.22081661D+04    0.0008447    0.0000004  EM
             18 -0.22081655D+04    0.0005317    0.0000002  EM
             19 -0.22081652D+04    0.0003347    0.0000002  EM
             20 -0.22081650D+04    0.0002107    0.0000001  EM
             21 -0.22081649D+04    0.0001327    0.0000001  EM
             22 -0.22081648D+04    0.0000836    0.0000000  EM
             23 -0.22081647D+04    0.0000526    0.0000000  EM
             24 -0.22081647D+04    0.0000331    0.0000000  EM
             25 -0.22081647D+04    0.0000209    0.0000000  EM
             26 -0.22081647D+04    0.0000131    0.0000000  EM
             27 -0.22081647D+04    0.0000083    0.0000000  EM
             28 -0.22081647D+04    0.0000052    0.0000000  EM
             29 -0.22081646D+04    0.0000033    0.0000000  EM
             30 -0.22081646D+04    0.0000021    0.0000000  EM
             31 -0.22081646D+04    0.0000013    0.0000000  EM
             32 -0.22081646D+04    0.0000008    0.0000000  EM
             33 -0.22081646D+04    0.0000005    0.0000000  EM
             34 -0.22081646D+04    0.0000003    0.0000000  EM
             35 -0.22081646D+04    0.0000002    0.0000000  EM
             36 -0.22081646D+04    0.0000001    0.0000000  EM
             37 -0.22081646D+04    0.0000001    0.0000000  EM
             38 -0.22081646D+04    0.0000001    0.0000000  EM
             39 -0.22081646D+04    0.0000001    0.0000000  FS


  TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1


              8 -0.22087852D+04    0.4386864    0.0001986  EM
              9 -0.22085455D+04    0.2397216    0.0001085  EM
             10 -0.22084014D+04    0.1441479    0.0000653  EM
             11 -0.22083125D+04    0.0889161    0.0000403  EM
             12 -0.22082572D+04    0.0552924    0.0000250  EM
             13 -0.22082227D+04    0.0345157    0.0000156  EM
             14 -0.22082011D+04    0.0215980    0.0000098  EM
             15 -0.22081875D+04    0.0135376    0.0000061  EM
             16 -0.22081790D+04    0.0084956    0.0000038  EM
             17 -0.22081737D+04    0.0053362    0.0000024  EM
             18 -0.22081703D+04    0.0033539    0.0000015  EM
             19 -0.22081682D+04    0.0021091    0.0000010  EM
             20 -0.22081669D+04    0.0013268    0.0000006  EM
             21 -0.22081661D+04    0.0008349    0.0000004  EM
             22 -0.22081655D+04    0.0005255    0.0000002  EM
             23 -0.22081652D+04    0.0003308    0.0000001  EM
             24 -0.22081650D+04    0.0002083    0.0000001  EM
             25 -0.22081649D+04    0.0001311    0.0000001  EM
             26 -0.22081648D+04    0.0000826    0.0000000  EM
             27 -0.22081647D+04    0.0000520    0.0000000  EM
             28 -0.22081647D+04    0.0000328    0.0000000  EM
             29 -0.22081647D+04    0.0000206    0.0000000  EM
             30 -0.22081647D+04    0.0000130    0.0000000  EM
             31 -0.22081647D+04    0.0000082    0.0000000  EM
             32 -0.22081647D+04    0.0000052    0.0000000  EM
             33 -0.22081646D+04    0.0000032    0.0000000  EM
             34 -0.22081646D+04    0.0000020    0.0000000  EM
             35 -0.22081646D+04    0.0000013    0.0000000  EM
             36 -0.22081646D+04    0.0000008    0.0000000  EM
             37 -0.22081646D+04    0.0000005    0.0000000  EM
             38 -0.22081646D+04    0.0000003    0.0000000  EM
             39 -0.22081646D+04    0.0000005    0.0000000  FS
             40 -0.22081646D+04    0.0000000    0.0000000  FS


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



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