Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:15 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a GMM for a
categorical outcome using automatic
starting values and random starts
DATA: FILE IS ex8.4.dat;
VARIABLE: NAMES ARE u1-u4 x c;
USEV = u1-u4 x;
CLASSES = c (2);
CATEGORICAL = u1-u4;
ANALYSIS: TYPE = MIXTURE;
ALGORITHM = INTEGRATION;
MODEL:
%OVERALL%
i s | u1@0 u2@1 u3@2 u4@3;
i s ON x;
c ON x;
OUTPUT: TECH1 TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of a GMM for a
categorical outcome using automatic
starting values and random starts
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1000
Number of dependent variables 4
Number of independent variables 1
Number of continuous latent variables 2
Number of categorical latent variables 1
Observed dependent variables
Binary and ordered categorical (ordinal)
U1 U2 U3 U4
Observed independent variables
X
Continuous latent variables
I S
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-02
Relative loglikelihood change 0.100D-05
Derivative 0.100D-02
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-02
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-02
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
Integration Specifications
Type STANDARD
Number of integration points 15
Dimensions of numerical integration 2
Adaptive quadrature ON
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
Cholesky ON
Input data file(s)
ex8.4.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U1
Category 1 0.226 226.000
Category 2 0.064 64.000
Category 3 0.066 66.000
Category 4 0.080 80.000
Category 5 0.564 564.000
U2
Category 1 0.195 195.000
Category 2 0.063 63.000
Category 3 0.040 40.000
Category 4 0.062 62.000
Category 5 0.640 640.000
U3
Category 1 0.184 184.000
Category 2 0.037 37.000
Category 3 0.039 39.000
Category 4 0.054 54.000
Category 5 0.686 686.000
U4
Category 1 0.179 179.000
Category 2 0.036 36.000
Category 3 0.033 33.000
Category 4 0.038 38.000
Category 5 0.714 714.000
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
X 0.003 -0.066 -3.206 0.10% -0.825 -0.272 -0.007
1000.000 1.015 -0.160 3.025 0.10% 0.275 0.867
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:
-3463.892 608496 4
-3463.892 27071 15
-3474.772 76974 16
-3475.800 415931 10
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 14
Loglikelihood
H0 Value -3463.892
H0 Scaling Correction Factor 1.0464
for MLR
Information Criteria
Akaike (AIC) 6955.784
Bayesian (BIC) 7024.492
Sample-Size Adjusted BIC 6980.028
(n* = (n + 2) / 24)
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL
Latent
Classes
1 502.68106 0.50268
2 497.31894 0.49732
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 502.68106 0.50268
2 497.31894 0.49732
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 521 0.52100
2 479 0.47900
CLASSIFICATION QUALITY
Entropy 0.593
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.871 0.129
2 0.102 0.898
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.903 0.097
2 0.135 0.865
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 2.228 0.000
2 -1.856 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Latent Class 1
I |
U1 1.000 0.000 999.000 999.000
U2 1.000 0.000 999.000 999.000
U3 1.000 0.000 999.000 999.000
U4 1.000 0.000 999.000 999.000
S |
U1 0.000 0.000 999.000 999.000
U2 1.000 0.000 999.000 999.000
U3 2.000 0.000 999.000 999.000
U4 3.000 0.000 999.000 999.000
I ON
X 0.127 0.165 0.766 0.444
S ON
X 0.424 0.084 5.075 0.000
S WITH
I 0.259 0.121 2.139 0.032
Intercepts
I 3.046 0.296 10.286 0.000
S 0.985 0.179 5.496 0.000
Thresholds
U1$1 -0.418 0.173 -2.423 0.015
U1$2 0.094 0.171 0.549 0.583
U1$3 0.526 0.173 3.041 0.002
U1$4 1.080 0.178 6.060 0.000
U2$1 -0.418 0.173 -2.423 0.015
U2$2 0.094 0.171 0.549 0.583
U2$3 0.526 0.173 3.041 0.002
U2$4 1.080 0.178 6.060 0.000
U3$1 -0.418 0.173 -2.423 0.015
U3$2 0.094 0.171 0.549 0.583
U3$3 0.526 0.173 3.041 0.002
U3$4 1.080 0.178 6.060 0.000
U4$1 -0.418 0.173 -2.423 0.015
U4$2 0.094 0.171 0.549 0.583
U4$3 0.526 0.173 3.041 0.002
U4$4 1.080 0.178 6.060 0.000
Residual Variances
I 0.248 0.319 0.777 0.437
S 0.431 0.123 3.502 0.000
Latent Class 2
I |
U1 1.000 0.000 999.000 999.000
U2 1.000 0.000 999.000 999.000
U3 1.000 0.000 999.000 999.000
U4 1.000 0.000 999.000 999.000
S |
U1 0.000 0.000 999.000 999.000
U2 1.000 0.000 999.000 999.000
U3 2.000 0.000 999.000 999.000
U4 3.000 0.000 999.000 999.000
I ON
X 0.127 0.165 0.766 0.444
S ON
X 0.424 0.084 5.075 0.000
S WITH
I 0.259 0.121 2.139 0.032
Intercepts
I 0.000 0.000 999.000 999.000
S 0.503 0.099 5.094 0.000
Thresholds
U1$1 -0.418 0.173 -2.423 0.015
U1$2 0.094 0.171 0.549 0.583
U1$3 0.526 0.173 3.041 0.002
U1$4 1.080 0.178 6.060 0.000
U2$1 -0.418 0.173 -2.423 0.015
U2$2 0.094 0.171 0.549 0.583
U2$3 0.526 0.173 3.041 0.002
U2$4 1.080 0.178 6.060 0.000
U3$1 -0.418 0.173 -2.423 0.015
U3$2 0.094 0.171 0.549 0.583
U3$3 0.526 0.173 3.041 0.002
U3$4 1.080 0.178 6.060 0.000
U4$1 -0.418 0.173 -2.423 0.015
U4$2 0.094 0.171 0.549 0.583
U4$3 0.526 0.173 3.041 0.002
U4$4 1.080 0.178 6.060 0.000
Residual Variances
I 0.248 0.319 0.777 0.437
S 0.431 0.123 3.502 0.000
Categorical Latent Variables
C#1 ON
X 1.213 0.303 4.005 0.000
Intercepts
C#1 0.007 0.207 0.036 0.971
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.267E-03
(ratio of smallest to largest eigenvalue)
RESULTS IN PROBABILITY SCALE
Estimate
Latent Class 1
U1
Category 1 0.032
Category 2 0.020
Category 3 0.026
Category 4 0.049
Category 5 0.873
U2
Category 1 0.017
Category 2 0.011
Category 3 0.013
Category 4 0.025
Category 5 0.934
U3
Category 1 0.014
Category 2 0.008
Category 3 0.009
Category 4 0.017
Category 5 0.952
U4
Category 1 0.015
Category 2 0.007
Category 3 0.008
Category 4 0.013
Category 5 0.958
Latent Class 2
U1
Category 1 0.417
Category 2 0.120
Category 3 0.099
Category 4 0.111
Category 5 0.254
U2
Category 1 0.375
Category 2 0.097
Category 3 0.084
Category 4 0.103
Category 5 0.341
U3
Category 1 0.356
Category 2 0.076
Category 3 0.066
Category 4 0.085
Category 5 0.417
U4
Category 1 0.348
Category 2 0.061
Category 3 0.053
Category 4 0.069
Category 5 0.470
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 21.030 6.228 11.770 37.577
Category > 2 21.030 6.228 11.770 37.577
Category > 3 21.030 6.228 11.770 37.577
Category > 4 21.030 6.228 11.770 37.577
U2
Category > 1 34.066 7.943 21.570 53.803
Category > 2 34.066 7.943 21.570 53.803
Category > 3 34.066 7.943 21.570 53.803
Category > 4 34.066 7.943 21.570 53.803
U3
Category > 1 55.184 20.041 27.082 112.445
Category > 2 55.184 20.041 27.082 112.445
Category > 3 55.184 20.041 27.082 112.445
Category > 4 55.184 20.041 27.082 112.445
U4
Category > 1 89.392 50.588 29.484 271.026
Category > 2 89.392 50.588 29.484 271.026
Category > 3 89.392 50.588 29.484 271.026
Category > 4 89.392 50.588 29.484 271.026
LOGISTIC REGRESSION ODDS RATIO RESULTS
95% C.I.
Estimate S.E. Lower 2.5% Upper 2.5%
Categorical Latent Variables
C#1 ON
X 3.364 1.019 1.858 6.091
ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Parameterization using Reference Class 1
C#2 ON
X -1.213 0.303 -4.005 0.000
Intercepts
C#2 -0.007 0.207 -0.036 0.971
ODDS RATIO FOR THE ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION
95% C.I.
Estimate S.E. Lower 2.5% Upper 2.5%
Parameterization using Reference Class 1
C#2 ON
X 0.297 0.090 0.164 0.538
BRANT WALD TEST FOR PROPORTIONAL ODDS
Degrees of
Chi-Square Freedom P-Value
U1
Overall test 3.811 3 0.283
X 3.811 3 0.283
U2
Overall test 5.009 3 0.171
X 5.009 3 0.171
U3
Overall test 8.235 3 0.041
X 8.235 3 0.041
U4
Overall test 7.495 3 0.058
X 7.495 3 0.058
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR LATENT CLASS 1
NU
U1 U2 U3 U4 X
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
I S X
________ ________ ________
U1 0 0 0
U2 0 0 0
U3 0 0 0
U4 0 0 0
X 0 0 0
THETA
U1 U2 U3 U4 X
________ ________ ________ ________ ________
U1 0
U2 0 0
U3 0 0 0
U4 0 0 0 0
X 0 0 0 0 0
ALPHA
I S X
________ ________ ________
1 2 0
BETA
I S X
________ ________ ________
I 0 0 3
S 0 0 4
X 0 0 0
PSI
I S X
________ ________ ________
I 5
S 6 7
X 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS 2
NU
U1 U2 U3 U4 X
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
I S X
________ ________ ________
U1 0 0 0
U2 0 0 0
U3 0 0 0
U4 0 0 0
X 0 0 0
THETA
U1 U2 U3 U4 X
________ ________ ________ ________ ________
U1 0
U2 0 0
U3 0 0 0
U4 0 0 0 0
X 0 0 0 0 0
ALPHA
I S X
________ ________ ________
0 8 0
BETA
I S X
________ ________ ________
I 0 0 3
S 0 0 4
X 0 0 0
PSI
I S X
________ ________ ________
I 5
S 6 7
X 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART
TAU(U) FOR LATENT CLASS 1
U1$1 U1$2 U1$3 U1$4 U2$1
________ ________ ________ ________ ________
9 10 11 12 9
TAU(U) FOR LATENT CLASS 1
U2$2 U2$3 U2$4 U3$1 U3$2
________ ________ ________ ________ ________
10 11 12 9 10
TAU(U) FOR LATENT CLASS 1
U3$3 U3$4 U4$1 U4$2 U4$3
________ ________ ________ ________ ________
11 12 9 10 11
TAU(U) FOR LATENT CLASS 1
U4$4
________
12
TAU(U) FOR LATENT CLASS 2
U1$1 U1$2 U1$3 U1$4 U2$1
________ ________ ________ ________ ________
9 10 11 12 9
TAU(U) FOR LATENT CLASS 2
U2$2 U2$3 U2$4 U3$1 U3$2
________ ________ ________ ________ ________
10 11 12 9 10
TAU(U) FOR LATENT CLASS 2
U3$3 U3$4 U4$1 U4$2 U4$3
________ ________ ________ ________ ________
11 12 9 10 11
TAU(U) FOR LATENT CLASS 2
U4$4
________
12
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
13 0
GAMMA(C)
I S X
________ ________ ________
C#1 0 0 14
C#2 0 0 0
STARTING VALUES FOR LATENT CLASS 1
NU
U1 U2 U3 U4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
I S X
________ ________ ________
U1 1.000 0.000 0.000
U2 1.000 1.000 0.000
U3 1.000 2.000 0.000
U4 1.000 3.000 0.000
X 0.000 0.000 1.000
THETA
U1 U2 U3 U4 X
________ ________ ________ ________ ________
U1 1.000
U2 0.000 1.000
U3 0.000 0.000 1.000
U4 0.000 0.000 0.000 1.000
X 0.000 0.000 0.000 0.000 0.000
ALPHA
I S X
________ ________ ________
0.000 0.000 0.000
BETA
I S X
________ ________ ________
I 0.000 0.000 0.000
S 0.000 0.000 0.000
X 0.000 0.000 0.000
PSI
I S X
________ ________ ________
I 0.050
S 0.000 0.050
X 0.000 0.000 0.508
STARTING VALUES FOR LATENT CLASS 2
NU
U1 U2 U3 U4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
I S X
________ ________ ________
U1 1.000 0.000 0.000
U2 1.000 1.000 0.000
U3 1.000 2.000 0.000
U4 1.000 3.000 0.000
X 0.000 0.000 1.000
THETA
U1 U2 U3 U4 X
________ ________ ________ ________ ________
U1 1.000
U2 0.000 1.000
U3 0.000 0.000 1.000
U4 0.000 0.000 0.000 1.000
X 0.000 0.000 0.000 0.000 0.000
ALPHA
I S X
________ ________ ________
0.000 0.000 0.000
BETA
I S X
________ ________ ________
I 0.000 0.000 0.000
S 0.000 0.000 0.000
X 0.000 0.000 0.000
PSI
I S X
________ ________ ________
I 0.050
S 0.000 0.050
X 0.000 0.000 0.508
STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART
TAU(U) FOR LATENT CLASS 1
U1$1 U1$2 U1$3 U1$4 U2$1
________ ________ ________ ________ ________
-1.415 -1.127 -0.901 -0.632 -1.415
TAU(U) FOR LATENT CLASS 1
U2$2 U2$3 U2$4 U3$1 U3$2
________ ________ ________ ________ ________
-1.127 -0.901 -0.632 -1.415 -1.127
TAU(U) FOR LATENT CLASS 1
U3$3 U3$4 U4$1 U4$2 U4$3
________ ________ ________ ________ ________
-0.901 -0.632 -1.415 -1.127 -0.901
TAU(U) FOR LATENT CLASS 1
U4$4
________
-0.632
TAU(U) FOR LATENT CLASS 2
U1$1 U1$2 U1$3 U1$4 U2$1
________ ________ ________ ________ ________
-1.415 -1.127 -0.901 -0.632 -1.415
TAU(U) FOR LATENT CLASS 2
U2$2 U2$3 U2$4 U3$1 U3$2
________ ________ ________ ________ ________
-1.127 -0.901 -0.632 -1.415 -1.127
TAU(U) FOR LATENT CLASS 2
U3$3 U3$4 U4$1 U4$2 U4$3
________ ________ ________ ________ ________
-0.901 -0.632 -1.415 -1.127 -0.901
TAU(U) FOR LATENT CLASS 2
U4$4
________
-0.632
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
0.000 0.000
GAMMA(C)
I S X
________ ________ ________
C#1 0.000 0.000 0.000
C#2 0.000 0.000 0.000
TECHNICAL 8 OUTPUT
INITIAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.41258190D+04 0.0000000 0.0000000 EM
2 -0.37050350D+04 420.7840420 0.1019880 FS
3 -0.35715598D+04 133.4751755 0.0360253 EM
4 -0.35215594D+04 50.0004273 0.0139996 EM
5 -0.34987121D+04 22.8472682 0.0064878 EM
6 -0.34877155D+04 10.9965721 0.0031430 EM
7 -0.34822563D+04 5.4592495 0.0015653 EM
8 -0.34794616D+04 2.7946819 0.0008025 EM
9 -0.34779879D+04 1.4736884 0.0004235 EM
10 -0.34771896D+04 0.7983662 0.0002295 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.57099254D+04 0.0000000 0.0000000 EM
2 -0.47583652D+04 951.5602443 0.1666502 FS
3 -0.39748976D+04 783.4675709 0.1646506 FS
4 -0.36033820D+04 371.5155938 0.0934655 FS
5 -0.35045399D+04 98.8421106 0.0274304 FS
6 -0.34798734D+04 24.6664990 0.0070384 FS
7 -0.34776893D+04 2.1840606 0.0006276 EM
8 -0.34768153D+04 0.8740035 0.0002513 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.61346887D+04 0.0000000 0.0000000 EM
2 -0.54998170D+04 634.8716911 0.1034888 FS
3 -0.48096618D+04 690.1552386 0.1254869 FS
4 -0.37484786D+04 1061.1831602 0.2206357 EM
5 -0.36563188D+04 92.1598082 0.0245859 EM
6 -0.35984989D+04 57.8198854 0.0158137 EM
7 -0.35566126D+04 41.8863441 0.0116399 EM
8 -0.35270875D+04 29.5250344 0.0083014 EM
9 -0.35071600D+04 19.9275618 0.0056499 EM
10 -0.34942584D+04 12.9015682 0.0036786 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.50230056D+04 0.0000000 0.0000000 EM
2 -0.46493060D+04 373.6995879 0.0743976 FS
3 -0.37534395D+04 895.8665347 0.1926882 EM
4 -0.36154173D+04 138.0222089 0.0367722 EM
5 -0.35707855D+04 44.6317849 0.0123449 EM
6 -0.35404496D+04 30.3359375 0.0084956 EM
7 -0.35188210D+04 21.6286027 0.0061090 EM
8 -0.35037427D+04 15.0782526 0.0042850 EM
9 -0.34935611D+04 10.1815943 0.0029059 EM
10 -0.34868766D+04 6.6845417 0.0019134 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.52775343D+04 0.0000000 0.0000000 EM
2 -0.46539867D+04 623.5476092 0.1181513 FS
3 -0.41200421D+04 533.9446011 0.1147284 FS
4 -0.37568623D+04 363.1797435 0.0881495 FS
5 -0.35531629D+04 203.6994100 0.0542206 FS
6 -0.34804237D+04 72.7392589 0.0204717 FS
7 -0.34648972D+04 15.5264933 0.0044611 FS
8 -0.34640806D+04 0.8165527 0.0002357 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.59296310D+04 0.0000000 0.0000000 EM
2 -0.56252620D+04 304.3690775 0.0513302 FS
3 -0.52003380D+04 424.9239190 0.0755385 FS
4 -0.48272076D+04 373.1304417 0.0717512 FS
5 -0.45576118D+04 269.5958174 0.0558492 FS
6 -0.43573557D+04 200.2561001 0.0439388 FS
7 -0.41733221D+04 184.0336214 0.0422352 FS
8 -0.40098101D+04 163.5119962 0.0391803 FS
9 -0.38449445D+04 164.8655210 0.0411155 FS
10 -0.36904974D+04 154.4471329 0.0401689 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.45795623D+04 0.0000000 0.0000000 EM
2 -0.43467254D+04 232.8369187 0.0508426 FS
3 -0.38952831D+04 451.4422137 0.1038580 FS
4 -0.36226577D+04 272.6254463 0.0699886 EM
5 -0.35728592D+04 49.7985188 0.0137464 FS
6 -0.35091194D+04 63.7398160 0.0178400 EM
7 -0.34930243D+04 16.0950635 0.0045866 EM
8 -0.34868340D+04 6.1902857 0.0017722 EM
9 -0.34831021D+04 3.7318975 0.0010703 EM
10 -0.34807082D+04 2.3939193 0.0006873 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.59542628D+04 0.0000000 0.0000000 EM
2 -0.53698565D+04 584.4063316 0.0981492 FS
3 -0.49411707D+04 428.6858308 0.0798319 FS
4 -0.46145989D+04 326.5718257 0.0660920 FS
5 -0.43263300D+04 288.2688636 0.0624689 FS
6 -0.40814159D+04 244.9141215 0.0566101 FS
7 -0.38598054D+04 221.6104392 0.0542974 FS
8 -0.36744911D+04 185.3143245 0.0480113 FS
9 -0.35454849D+04 129.0062330 0.0351086 FS
10 -0.34857737D+04 59.7111706 0.0168415 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.98638122D+04 0.0000000 0.0000000 EM
2 -0.89720770D+04 891.7352498 0.0904047 FS
3 -0.80938844D+04 878.1925658 0.0978806 FS
4 -0.72453056D+04 848.5788483 0.1048420 FS
5 -0.64386233D+04 806.6822836 0.1113386 FS
6 -0.56938746D+04 744.7486825 0.1156689 FS
7 -0.50264580D+04 667.4165405 0.1172166 FS
8 -0.44274824D+04 598.9756650 0.1191646 FS
9 -0.39617000D+04 465.7824132 0.1052025 FS
10 -0.36703463D+04 291.3536300 0.0735426 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.56259613D+04 0.0000000 0.0000000 EM
2 -0.50856097D+04 540.3515645 0.0960461 FS
3 -0.47162045D+04 369.4052128 0.0726374 FS
4 -0.44466503D+04 269.5542133 0.0571549 FS
5 -0.41985739D+04 248.0763736 0.0557895 FS
6 -0.39780302D+04 220.5436707 0.0525282 FS
7 -0.37784567D+04 199.5735137 0.0501689 FS
8 -0.36172517D+04 161.2050309 0.0426643 FS
9 -0.35166770D+04 100.5746879 0.0278042 FS
10 -0.34792279D+04 37.4490620 0.0106490 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.44554073D+04 0.0000000 0.0000000 EM
2 -0.40363846D+04 419.0226324 0.0940481 FS
3 -0.38774356D+04 158.9490160 0.0393791 FS
4 -0.37102250D+04 167.2106163 0.0431240 FS
5 -0.36448405D+04 65.3844609 0.0176228 FS
6 -0.35279278D+04 116.9127340 0.0320762 FS
7 -0.34846094D+04 43.3183572 0.0122787 FS
8 -0.34808925D+04 3.7169713 0.0010667 FS
9 -0.34775848D+04 3.3076676 0.0009502 EM
10 -0.34767747D+04 0.8100667 0.0002329 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.75929810D+04 0.0000000 0.0000000 EM
2 -0.68193214D+04 773.6595926 0.1018914 FS
3 -0.61700912D+04 649.2302204 0.0952045 FS
4 -0.55838489D+04 586.2423228 0.0950136 FS
5 -0.50434489D+04 540.4000536 0.0967791 FS
6 -0.45983136D+04 445.1352612 0.0882601 FS
7 -0.42338887D+04 364.4248932 0.0792519 FS
8 -0.39550669D+04 278.8218366 0.0658548 FS
9 -0.37458109D+04 209.2559471 0.0529083 FS
10 -0.35894885D+04 156.3224194 0.0417326 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.44943832D+04 0.0000000 0.0000000 EM
2 -0.39783377D+04 516.0455972 0.1148201 FS
3 -0.38290603D+04 149.2773962 0.0375226 EM
4 -0.37205738D+04 108.4864301 0.0283324 EM
5 -0.36395508D+04 81.0230684 0.0217770 EM
6 -0.35820864D+04 57.4643212 0.0157889 EM
7 -0.35435676D+04 38.5188375 0.0107532 EM
8 -0.35188565D+04 24.7110557 0.0069735 EM
9 -0.35034611D+04 15.3954026 0.0043751 EM
10 -0.34940116D+04 9.4495855 0.0026972 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.75358343D+04 0.0000000 0.0000000 EM
2 -0.68353888D+04 700.4454825 0.0929486 FS
3 -0.61756597D+04 659.7291476 0.0965167 FS
4 -0.56734170D+04 502.2427206 0.0813262 FS
5 -0.50604077D+04 613.0092552 0.1080494 FS
6 -0.46470094D+04 413.3983567 0.0816927 FS
7 -0.43494784D+04 297.5309971 0.0640263 FS
8 -0.40561789D+04 293.2994459 0.0674332 FS
9 -0.38636804D+04 192.4985535 0.0474581 FS
10 -0.36711663D+04 192.5140784 0.0498266 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.72909873D+04 0.0000000 0.0000000 EM
2 -0.65235877D+04 767.3996409 0.1052532 FS
3 -0.58531388D+04 670.4489036 0.1027730 FS
4 -0.53050746D+04 548.0641425 0.0936359 FS
5 -0.49178762D+04 387.1984292 0.0729864 FS
6 -0.46367391D+04 281.1370663 0.0571664 FS
7 -0.43906505D+04 246.0886710 0.0530737 FS
8 -0.41547407D+04 235.9097479 0.0537300 FS
9 -0.39428551D+04 211.8856377 0.0509985 FS
10 -0.37481639D+04 194.6912165 0.0493782 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.66118201D+04 0.0000000 0.0000000 EM
2 -0.41486941D+04 2463.1260019 0.3725337 EM
3 -0.41221542D+04 26.5399075 0.0063972 FS
4 -0.35685888D+04 553.5654551 0.1342903 EM
5 -0.35100161D+04 58.5726509 0.0164134 EM
6 -0.34893301D+04 20.6859986 0.0058934 EM
7 -0.34803082D+04 9.0219060 0.0025856 EM
8 -0.34757752D+04 4.5329800 0.0013025 EM
9 -0.34731852D+04 2.5899900 0.0007452 EM
10 -0.34715461D+04 1.6391531 0.0004719 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.56959181D+04 0.0000000 0.0000000 EM
2 -0.51000881D+04 595.8299307 0.1046065 FS
3 -0.46181957D+04 481.8924155 0.0944871 FS
4 -0.42028226D+04 415.3730607 0.0899427 FS
5 -0.38113075D+04 391.5151016 0.0931553 FS
6 -0.36105645D+04 200.7430722 0.0526704 EM
7 -0.35249343D+04 85.6302038 0.0237166 FS
8 -0.34875536D+04 37.3806743 0.0106046 FS
9 -0.34784926D+04 9.0609640 0.0025981 FS
10 -0.34757673D+04 2.7253535 0.0007835 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.66611165D+04 0.0000000 0.0000000 EM
2 -0.60485211D+04 612.5953912 0.0919659 FS
3 -0.54200609D+04 628.4601495 0.1039031 FS
4 -0.47936163D+04 626.4446495 0.1155789 FS
5 -0.42810392D+04 512.5771040 0.1069291 FS
6 -0.39541881D+04 326.8510998 0.0763485 FS
7 -0.36854465D+04 268.7415844 0.0679638 FS
8 -0.35273669D+04 158.0795679 0.0428929 EM
9 -0.34812869D+04 46.0800114 0.0130636 FS
10 -0.34783302D+04 2.9567695 0.0008493 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.61776478D+04 0.0000000 0.0000000 EM
2 -0.56192589D+04 558.3888505 0.0903886 FS
3 -0.52487108D+04 370.5481467 0.0659425 FS
4 -0.48216106D+04 427.1001288 0.0813724 FS
5 -0.43721464D+04 449.4641936 0.0932187 FS
6 -0.40657783D+04 306.3681550 0.0700727 FS
7 -0.38105862D+04 255.1920888 0.0627659 FS
8 -0.36101010D+04 200.4852143 0.0526127 FS
9 -0.35048788D+04 105.2221657 0.0291466 FS
10 -0.34771869D+04 27.6918719 0.0079009 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.50407946D+04 0.0000000 0.0000000 EM
2 -0.46572206D+04 383.5739643 0.0760939 FS
3 -0.39215332D+04 735.6874058 0.1579671 EM
4 -0.37504728D+04 171.0604032 0.0436208 EM
5 -0.36540450D+04 96.4277943 0.0257108 EM
6 -0.35928625D+04 61.1825179 0.0167438 EM
7 -0.35531141D+04 39.7483703 0.0110631 EM
8 -0.35270536D+04 26.0604967 0.0073346 EM
9 -0.35099165D+04 17.1370903 0.0048588 EM
10 -0.34986247D+04 11.2917834 0.0032171 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.76460404D+04 0.0000000 0.0000000 EM
2 -0.69687285D+04 677.3119919 0.0885834 FS
3 -0.63905376D+04 578.1908633 0.0829693 FS
4 -0.58836509D+04 506.8867017 0.0793183 FS
5 -0.54687496D+04 414.9012543 0.0705177 FS
6 -0.50870650D+04 381.6846715 0.0697938 FS
7 -0.47720098D+04 315.0551911 0.0619326 FS
8 -0.44953563D+04 276.6534297 0.0579742 FS
9 -0.42694438D+04 225.9125914 0.0502547 FS
10 -0.41165547D+04 152.8890640 0.0358101 FS
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.52775343D+04 0.0000000 0.0000000 EM
2 -0.46539867D+04 623.5476092 0.1181513 FS
3 -0.41200421D+04 533.9446011 0.1147284 FS
4 -0.37568623D+04 363.1797435 0.0881495 FS
5 -0.35531629D+04 203.6994100 0.0542206 FS
6 -0.34804237D+04 72.7392589 0.0204717 FS
7 -0.34648972D+04 15.5264933 0.0044611 FS
8 -0.34640806D+04 0.8165527 0.0002357 FS
9 -0.34639021D+04 0.1784805 0.0000515 FS
10 -0.34638917D+04 0.0104073 0.0000030 FS
11 -0.34638920D+04 -0.0002248 -0.0000001 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.66118201D+04 0.0000000 0.0000000 EM
2 -0.41486941D+04 2463.1260019 0.3725337 EM
3 -0.41221542D+04 26.5399075 0.0063972 FS
4 -0.35685888D+04 553.5654551 0.1342903 EM
5 -0.35100161D+04 58.5726509 0.0164134 EM
6 -0.34893301D+04 20.6859986 0.0058934 EM
7 -0.34803082D+04 9.0219060 0.0025856 EM
8 -0.34757752D+04 4.5329800 0.0013025 EM
9 -0.34731852D+04 2.5899900 0.0007452 EM
10 -0.34715461D+04 1.6391531 0.0004719 EM
11 -0.34704244D+04 1.1216945 0.0003231 EM
12 -0.34696090D+04 0.8153863 0.0002350 EM
13 -0.34689873D+04 0.6217199 0.0001792 EM
14 -0.34684946D+04 0.4926547 0.0001420 EM
15 -0.34680918D+04 0.4028666 0.0001162 EM
16 -0.34677536D+04 0.3381320 0.0000975 EM
17 -0.34674636D+04 0.2900251 0.0000836 EM
18 -0.34672103D+04 0.2533215 0.0000731 EM
19 -0.34669856D+04 0.2246513 0.0000648 EM
20 -0.34667839D+04 0.2017668 0.0000582 EM
21 -0.34666007D+04 0.1831262 0.0000528 EM
22 -0.34664331D+04 0.1676468 0.0000484 EM
23 -0.34662785D+04 0.1545541 0.0000446 EM
24 -0.34661353D+04 0.1432858 0.0000413 EM
25 -0.34660018D+04 0.1334288 0.0000385 EM
26 -0.34658771D+04 0.1246771 0.0000360 EM
27 -0.34657603D+04 0.1168023 0.0000337 EM
28 -0.34656507D+04 0.1096333 0.0000316 EM
29 -0.34655477D+04 0.1030417 0.0000297 EM
30 -0.34654507D+04 0.0969307 0.0000280 EM
31 -0.34653595D+04 0.0912276 0.0000263 EM
32 -0.34652736D+04 0.0858774 0.0000248 EM
33 -0.34651928D+04 0.0808388 0.0000233 EM
34 -0.34651167D+04 0.0760803 0.0000220 EM
35 -0.34650451D+04 0.0715782 0.0000207 EM
36 -0.34649778D+04 0.0673144 0.0000194 EM
37 -0.34649145D+04 0.0632746 0.0000183 EM
38 -0.34648551D+04 0.0594475 0.0000172 EM
39 -0.34647993D+04 0.0558238 0.0000161 EM
40 -0.34647469D+04 0.0523959 0.0000151 EM
41 -0.34646977D+04 0.0491565 0.0000142 EM
42 -0.34646516D+04 0.0460991 0.0000133 EM
43 -0.34646084D+04 0.0432176 0.0000125 EM
44 -0.34645679D+04 0.0405055 0.0000117 EM
45 -0.34645299D+04 0.0379566 0.0000110 EM
46 -0.34644944D+04 0.0355645 0.0000103 EM
47 -0.34644611D+04 0.0333226 0.0000096 EM
48 -0.34640855D+04 0.3755214 0.0001084 FS
49 -0.34638951D+04 0.1904353 0.0000550 FS
50 -0.34638917D+04 0.0033984 0.0000010 FS
51 -0.34638921D+04 -0.0003774 -0.0000001 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.56959181D+04 0.0000000 0.0000000 EM
2 -0.51000881D+04 595.8299307 0.1046065 FS
3 -0.46181957D+04 481.8924155 0.0944871 FS
4 -0.42028226D+04 415.3730607 0.0899427 FS
5 -0.38113075D+04 391.5151016 0.0931553 FS
6 -0.36105645D+04 200.7430722 0.0526704 EM
7 -0.35249343D+04 85.6302038 0.0237166 FS
8 -0.34875536D+04 37.3806743 0.0106046 FS
9 -0.34784926D+04 9.0609640 0.0025981 FS
10 -0.34757673D+04 2.7253535 0.0007835 FS
11 -0.34749251D+04 0.8421310 0.0002423 FS
12 -0.34747987D+04 0.1264658 0.0000364 EM
13 -0.34747843D+04 0.0143770 0.0000041 EM
14 -0.34747788D+04 0.0055000 0.0000016 EM
15 -0.34747759D+04 0.0029494 0.0000008 EM
16 -0.34747741D+04 0.0017184 0.0000005 EM
17 -0.34747731D+04 0.0010406 0.0000003 EM
18 -0.34747725D+04 0.0006452 0.0000002 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.44554073D+04 0.0000000 0.0000000 EM
2 -0.40363846D+04 419.0226324 0.0940481 FS
3 -0.38774356D+04 158.9490160 0.0393791 FS
4 -0.37102250D+04 167.2106163 0.0431240 FS
5 -0.36448405D+04 65.3844609 0.0176228 FS
6 -0.35279278D+04 116.9127340 0.0320762 FS
7 -0.34846094D+04 43.3183572 0.0122787 FS
8 -0.34808925D+04 3.7169713 0.0010667 FS
9 -0.34775848D+04 3.3076676 0.0009502 EM
10 -0.34767747D+04 0.8100667 0.0002329 EM
11 -0.34764652D+04 0.3095626 0.0000890 EM
12 -0.34763122D+04 0.1529590 0.0000440 EM
13 -0.34762207D+04 0.0914899 0.0000263 EM
14 -0.34761592D+04 0.0614922 0.0000177 EM
15 -0.34761151D+04 0.0441506 0.0000127 EM
16 -0.34760821D+04 0.0329908 0.0000095 EM
17 -0.34760567D+04 0.0253398 0.0000073 EM
18 -0.34760369D+04 0.0198848 0.0000057 EM
19 -0.34760210D+04 0.0158896 0.0000046 EM
20 -0.34760081D+04 0.0129037 0.0000037 EM
21 -0.34759974D+04 0.0106351 0.0000031 EM
22 -0.34759885D+04 0.0088876 0.0000026 EM
23 -0.34759810D+04 0.0075254 0.0000022 EM
24 -0.34759746D+04 0.0064523 0.0000019 EM
25 -0.34759690D+04 0.0055991 0.0000016 EM
26 -0.34759641D+04 0.0049148 0.0000014 EM
27 -0.34759597D+04 0.0043616 0.0000013 EM
28 -0.34759558D+04 0.0039113 0.0000011 EM
29 -0.34759522D+04 0.0035420 0.0000010 EM
30 -0.34759490D+04 0.0032370 0.0000009 EM
31 -0.34759460D+04 0.0029836 0.0000009 EM
32 -0.34759432D+04 0.0027714 0.0000008 EM
33 -0.34759407D+04 0.0025927 0.0000007 EM
34 -0.34759382D+04 0.0024410 0.0000007 EM
35 -0.34759359D+04 0.0023114 0.0000007 EM
36 -0.34759337D+04 0.0021998 0.0000006 EM
37 -0.34759316D+04 0.0021031 0.0000006 EM
38 -0.34759296D+04 0.0020185 0.0000006 EM
39 -0.34759276D+04 0.0019441 0.0000006 EM
40 -0.34759258D+04 0.0018780 0.0000005 EM
41 -0.34759239D+04 0.0018189 0.0000005 EM
42 -0.34759222D+04 0.0017658 0.0000005 EM
43 -0.34759205D+04 0.0017175 0.0000005 EM
44 -0.34759188D+04 0.0016734 0.0000005 EM
45 -0.34759172D+04 0.0016328 0.0000005 EM
46 -0.34759156D+04 0.0015952 0.0000005 EM
47 -0.34759140D+04 0.0015602 0.0000004 EM
48 -0.34759125D+04 0.0015275 0.0000004 EM
49 -0.34759110D+04 0.0014967 0.0000004 EM
50 -0.34759095D+04 0.0014675 0.0000004 EM
51 -0.34759081D+04 0.0014399 0.0000004 EM
52 -0.34759067D+04 0.0014135 0.0000004 EM
53 -0.34759053D+04 0.0013883 0.0000004 EM
54 -0.34759039D+04 0.0013642 0.0000004 EM
55 -0.34759026D+04 0.0013410 0.0000004 EM
56 -0.34759012D+04 0.0013186 0.0000004 EM
57 -0.34758999D+04 0.0012971 0.0000004 EM
58 -0.34758987D+04 0.0012762 0.0000004 EM
59 -0.34758974D+04 0.0012560 0.0000004 EM
60 -0.34758962D+04 0.0012365 0.0000004 EM
61 -0.34758950D+04 0.0012175 0.0000004 EM
62 -0.34758938D+04 0.0011991 0.0000003 EM
63 -0.34758926D+04 0.0011812 0.0000003 EM
64 -0.34758914D+04 0.0011637 0.0000003 EM
65 -0.34758903D+04 0.0011468 0.0000003 EM
66 -0.34758891D+04 0.0011302 0.0000003 EM
67 -0.34758880D+04 0.0011141 0.0000003 EM
68 -0.34758869D+04 0.0010984 0.0000003 EM
69 -0.34758858D+04 0.0010831 0.0000003 EM
70 -0.34758163D+04 0.0695652 0.0000200 QN
71 -0.34758080D+04 0.0083112 0.0000024 EM
72 -0.34758047D+04 0.0032513 0.0000009 EM
73 -0.34758028D+04 0.0019278 0.0000006 EM
74 -0.34758014D+04 0.0013368 0.0000004 EM
75 -0.34758004D+04 0.0010449 0.0000003 EM
76 -0.34757995D+04 0.0008881 0.0000003 EM
Beginning Time: 23:15:40
Ending Time: 23:16:49
Elapsed Time: 00:01:09
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