Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:57 PM
INPUT INSTRUCTIONS
TITLE:this is an example of two-level mixture
regression for a continuous dependent variable
with a between-level categorical latent variable
DATA: FILE = ex10.2.dat;
VARIABLE: NAMES ARE y x1 x2 w dummy clus;
USEVARIABLES = y-w;
CLASSES = cb(2);
WITHIN = x1 x2;
BETWEEN = cb w;
CLUSTER = clus;
ANALYSIS: TYPE = TWOLEVEL MIXTURE RANDOM;
PROCESSORS = 2;
MODEL:
%WITHIN%
%OVERALL%
y ON x1 x2;
%cb#1%
y ON x1 x2;
%cb#2%
y ON x1 x2;
%BETWEEN%
%OVERALL%
cb ON w;
y ON w;
OUTPUT: TECH1 TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of two-level mixture
regression for a continuous dependent variable
with a between-level categorical latent variable
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1000
Number of dependent variables 1
Number of independent variables 3
Number of continuous latent variables 0
Number of categorical latent variables 1
Observed dependent variables
Continuous
Y
Observed independent variables
X1 X2 W
Categorical latent variables
CB
Variables with special functions
Cluster variable CLUS
Within variables
X1 X2
Between variables
W
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 1
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
Cholesky OFF
Input data file(s)
ex10.2.dat
Input data format FREE
SUMMARY OF DATA
Number of clusters 110
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
Y 1.449 -0.010 -9.293 0.10% -0.910 0.753 1.377
1000.000 7.878 0.151 11.074 0.10% 2.100 3.903
X1 -0.024 -0.022 -3.006 0.10% -0.887 -0.320 -0.036
1000.000 1.008 -0.185 3.145 0.10% 0.237 0.860
X2 -0.055 -0.036 -3.111 0.10% -0.903 -0.306 -0.051
1000.000 0.961 -0.141 2.811 0.10% 0.206 0.780
W -0.084 -0.367 -2.894 0.91% -0.853 -0.241 -0.033
110.000 0.947 0.046 1.927 0.91% 0.174 0.720
RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST LOGLIKELIHOOD VALUES
1 perturbed starting value run(s) did not converge.
Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:
-1574.798 573096 20
-1574.798 903420 5
-1574.799 unperturbed 0
-1718.499 76974 16
THE BEST LOGLIKELIHOOD VALUE HAS BEEN REPLICATED. RERUN WITH AT LEAST TWICE THE
RANDOM STARTS TO CHECK THAT THE BEST LOGLIKELIHOOD IS STILL OBTAINED AND REPLICATED.
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 11
Loglikelihood
H0 Value -1574.798
H0 Scaling Correction Factor 0.9503
for MLR
Information Criteria
Akaike (AIC) 3171.596
Bayesian (BIC) 3225.581
Sample-Size Adjusted BIC 3190.645
(n* = (n + 2) / 24)
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 503.42771 0.50343
2 496.57229 0.49657
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 500 0.50000
2 500 0.50000
CLASSIFICATION QUALITY
Entropy 0.929
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.982 0.018
2 0.025 0.975
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.975 0.025
2 0.019 0.981
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 3.660 0.000
2 -3.969 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Within Level
Latent Class 1
Y ON
X1 1.944 0.059 33.198 0.000
X2 1.018 0.042 23.972 0.000
Residual Variances
Y 1.005 0.046 21.796 0.000
Latent Class 2
Y ON
X1 0.972 0.042 23.354 0.000
X2 1.944 0.059 32.857 0.000
Residual Variances
Y 1.005 0.046 21.796 0.000
Between Level
Latent Class 1
Y ON
W 0.695 0.075 9.236 0.000
Intercepts
Y 0.807 0.119 6.797 0.000
Residual Variances
Y 0.497 0.092 5.386 0.000
Latent Class 2
Y ON
W 0.695 0.075 9.236 0.000
Intercepts
Y 2.463 0.115 21.498 0.000
Residual Variances
Y 0.497 0.092 5.386 0.000
Categorical Latent Variables
Within Level
Between Level
CB#1 ON
W -0.821 0.217 -3.783 0.000
Intercepts
CB#1 0.067 0.217 0.310 0.756
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.203E-01
(ratio of smallest to largest eigenvalue)
ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Parameterization using Reference Class 1
CB#2 ON
W 0.821 0.217 3.783 0.000
Intercepts
CB#2 -0.067 0.217 -0.310 0.756
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
CB#2 ON
W 2.273 0.494 1.485 3.479
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 1
NU
Y X1 X2 W
________ ________ ________ ________
0 0 0 0
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
Y X1 X2 W
________ ________ ________ ________
Y 0
X1 0 0
X2 0 0 0
W 0 0 0 0
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
Y 0 0 1 2 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0
Y 0 3
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 2
NU
Y X1 X2 W
________ ________ ________ ________
0 0 0 0
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
Y X1 X2 W
________ ________ ________ ________
Y 0
X1 0 0
X2 0 0 0
W 0 0 0 0
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0 0 0 0 0
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
Y 0 0 4 5 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0
Y 0 3
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
PARAMETER SPECIFICATION FOR BETWEEN LEVEL, LATENT CLASS 1
NU
Y X1 X2 W
________ ________ ________ ________
0 0 0 0
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
Y X1 X2 W
________ ________ ________ ________
Y 0
X1 0 0
X2 0 0 0
W 0 0 0 0
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0 6 0 0 0
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
Y 0 0 0 0 7
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0
Y 0 8
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
PARAMETER SPECIFICATION FOR BETWEEN LEVEL, LATENT CLASS 2
NU
Y X1 X2 W
________ ________ ________ ________
0 0 0 0
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
THETA
Y X1 X2 W
________ ________ ________ ________
Y 0
X1 0 0
X2 0 0 0
W 0 0 0 0
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0 9 0 0 0
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
Y 0 0 0 0 7
X1 0 0 0 0 0
X2 0 0 0 0 0
W 0 0 0 0 0
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0
Y 0 8
X1 0 0 0
X2 0 0 0 0
W 0 0 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART (WITHIN)
ALPHA(C)
CB#1 CB#2
________ ________
0 0
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 0
CB#2 0 0 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART (BETWEEN)
ALPHA(C)
CB#1 CB#2
________ ________
10 0
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0 0 0 0 11
CB#2 0 0 0 0 0
STARTING VALUES FOR WITHIN LEVEL, LATENT CLASS 1
NU
Y X1 X2 W
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
Y X1 X2 W
________ ________ ________ ________
Y 0.000
X1 0.000 0.000
X2 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 3.939
X1 0.000 0.000 0.504
X2 0.000 0.000 0.000 0.480
W 0.000 0.000 0.000 0.000 0.000
STARTING VALUES FOR WITHIN LEVEL, LATENT CLASS 2
NU
Y X1 X2 W
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
Y X1 X2 W
________ ________ ________ ________
Y 0.000
X1 0.000 0.000
X2 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 3.939
X1 0.000 0.000 0.504
X2 0.000 0.000 0.000 0.480
W 0.000 0.000 0.000 0.000 0.000
STARTING VALUES FOR BETWEEN LEVEL, LATENT CLASS 1
NU
Y X1 X2 W
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
Y X1 X2 W
________ ________ ________ ________
Y 0.000
X1 0.000 0.000
X2 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 -1.358 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 3.939
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.471
STARTING VALUES FOR BETWEEN LEVEL, LATENT CLASS 2
NU
Y X1 X2 W
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
Y 0.000 1.000 0.000 0.000 0.000
X1 0.000 0.000 1.000 0.000 0.000
X2 0.000 0.000 0.000 1.000 0.000
W 0.000 0.000 0.000 0.000 1.000
THETA
Y X1 X2 W
________ ________ ________ ________
Y 0.000
X1 0.000 0.000
X2 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000
ALPHA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
0.000 4.256 0.000 0.000 0.000
BETA
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
Y 0.000 0.000 0.000 0.000 0.000
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.000
PSI
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000
Y 0.000 3.939
X1 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000
W 0.000 0.000 0.000 0.000 0.471
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART (WITHIN)
ALPHA(C)
CB#1 CB#2
________ ________
0.000 0.000
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
CB#2 0.000 0.000 0.000 0.000 0.000
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART (BETWEEN)
ALPHA(C)
CB#1 CB#2
________ ________
0.000 0.000
GAMMA(C)
CB#1 Y X1 X2 W
________ ________ ________ ________ ________
CB#1 0.000 0.000 0.000 0.000 0.000
CB#2 0.000 0.000 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 -0.24402700D+04 0.0000000 0.0000000 EM
2 -0.17814527D+04 658.8172919 0.2699772 EM
3 -0.16800895D+04 101.3631646 0.0568992 EM
4 -0.16585313D+04 21.5582310 0.0128316 EM
5 -0.16519224D+04 6.6089197 0.0039848 EM
6 -0.16500961D+04 1.8262822 0.0011055 EM
7 -0.16452372D+04 4.8588774 0.0029446 EM
8 -0.16432253D+04 2.0118994 0.0012229 EM
9 -0.16385767D+04 4.6485986 0.0028289 EM
10 -0.16377290D+04 0.8477318 0.0005174 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.39627439D+04 0.0000000 0.0000000 EM
2 -0.19151255D+04 2047.6184705 0.5167173 EM
3 -0.17405269D+04 174.5986006 0.0911682 EM
4 -0.17155585D+04 24.9683244 0.0143453 EM
5 -0.17139083D+04 1.6501973 0.0009619 EM
6 -0.17110284D+04 2.8799248 0.0016803 EM
7 -0.17067921D+04 4.2362867 0.0024759 EM
8 -0.17059327D+04 0.8594792 0.0005036 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.50959470D+04 0.0000000 0.0000000 EM
2 -0.30849062D+04 2011.0407548 0.3946353 EM
3 -0.22191322D+04 865.7740051 0.2806484 EM
4 -0.19638495D+04 255.2827014 0.1150372 EM
5 -0.18899850D+04 73.8645490 0.0376121 EM
6 -0.18721272D+04 17.8577360 0.0094486 EM
7 -0.18623948D+04 9.7324039 0.0051986 EM
8 -0.18456852D+04 16.7096287 0.0089721 EM
9 -0.18444014D+04 1.2838588 0.0006956 EM
10 -0.18437273D+04 0.6740701 0.0003655 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.49010271D+04 0.0000000 0.0000000 EM
2 -0.67798103D+04 ************ -0.3833448 EM
3 -0.26762499D+04 4103.5604211 0.6052618 EM
4 -0.22177098D+04 458.5400462 0.1713368 EM
5 -0.24668507D+04 -249.1408653 -0.1123415 EM
6 -0.21746117D+04 292.2389681 0.1184664 EM
7 -0.19128878D+04 261.7239190 0.1203543 EM
8 -0.26124492D+04 -699.5614018 -0.3657096 EM
9 -0.23503300D+04 262.1192693 0.1003347 EM
10 -0.22425906D+04 107.7393659 0.0458401 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.34161133D+04 0.0000000 0.0000000 EM
2 -0.19856138D+04 1430.4995001 0.4187506 EM
3 -0.18741694D+04 111.4443624 0.0561259 EM
4 -0.18317153D+04 42.4540743 0.0226522 EM
5 -0.18194209D+04 12.2944522 0.0067120 EM
6 -0.18185290D+04 0.8918745 0.0004902 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.27087504D+04 0.0000000 0.0000000 EM
2 -0.19352983D+04 773.4520252 0.2855383 EM
3 -0.17617369D+04 173.5614064 0.0896820 EM
4 -0.16686240D+04 93.1129144 0.0528529 EM
5 -0.16282568D+04 40.3672336 0.0241919 EM
6 -0.16215350D+04 6.7217436 0.0041282 EM
7 -0.16178978D+04 3.6371972 0.0022431 EM
8 -0.16142449D+04 3.6529487 0.0022578 EM
9 -0.16105078D+04 3.7370518 0.0023150 EM
10 -0.16068055D+04 3.7023716 0.0022989 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.38271679D+04 0.0000000 0.0000000 EM
2 -0.21944924D+04 1632.6754762 0.4266015 EM
3 -0.20494183D+04 145.0741044 0.0661083 EM
4 -0.18965866D+04 152.8317585 0.0745732 EM
5 -0.18535565D+04 43.0300644 0.0226882 EM
6 -0.18492757D+04 4.2807987 0.0023095 EM
7 -0.18467282D+04 2.5475212 0.0013776 EM
8 -0.18460963D+04 0.6318461 0.0003421 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.54966603D+04 0.0000000 0.0000000 EM
2 -0.20084927D+04 3488.1676146 0.6345976 EM
3 -0.18021596D+04 206.3331039 0.1027303 EM
4 -0.17871269D+04 15.0327109 0.0083415 EM
5 -0.17906732D+04 -3.5463121 -0.0019844 EM
6 -0.17783642D+04 12.3090046 0.0068740 EM
7 -0.17792897D+04 -0.9254637 -0.0005204 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.30316448D+04 0.0000000 0.0000000 EM
2 -0.75018996D+04 ************ -1.4745312 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.61729718D+04 0.0000000 0.0000000 EM
2 -0.23485068D+04 3824.4649860 0.6195501 EM
3 -0.20116119D+04 336.8948254 0.1434507 EM
4 -0.18650742D+04 146.5377469 0.0728459 EM
5 -0.18384801D+04 26.5941159 0.0142590 EM
6 -0.18301722D+04 8.3078902 0.0045189 EM
7 -0.18173648D+04 12.8073482 0.0069979 EM
8 -0.18187285D+04 -1.3636285 -0.0007503 EM
9 -0.18150053D+04 3.7231696 0.0020471 EM
10 -0.18094326D+04 5.5727202 0.0030704 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.27445523D+04 0.0000000 0.0000000 EM
2 -0.32685309D+04 -523.9786528 -0.1909159 EM
3 -0.22505752D+04 1017.9557462 0.3114414 EM
4 -0.19628527D+04 287.7224694 0.1278440 EM
5 -0.19275731D+04 35.2796156 0.0179736 EM
6 -0.19195114D+04 8.0617056 0.0041823 EM
7 -0.19174251D+04 2.0863301 0.0010869 EM
8 -0.19229203D+04 -5.4952259 -0.0028659 EM
9 -0.19198642D+04 3.0560746 0.0015893 EM
10 -0.19193475D+04 0.5167072 0.0002691 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.27087504D+04 0.0000000 0.0000000 EM
2 -0.19352983D+04 773.4520252 0.2855383 EM
3 -0.17617369D+04 173.5614064 0.0896820 EM
4 -0.16686240D+04 93.1129144 0.0528529 EM
5 -0.16282568D+04 40.3672336 0.0241919 EM
6 -0.16215350D+04 6.7217436 0.0041282 EM
7 -0.16178978D+04 3.6371972 0.0022431 EM
8 -0.16142449D+04 3.6529487 0.0022578 EM
9 -0.16105078D+04 3.7370518 0.0023150 EM
10 -0.16068055D+04 3.7023716 0.0022989 EM
11 -0.16031456D+04 3.6598225 0.0022777 EM
12 -0.15995049D+04 3.6407082 0.0022710 EM
13 -0.15949525D+04 4.5524057 0.0028461 EM
14 -0.15915888D+04 3.3637786 0.0021090 EM
15 -0.15884081D+04 3.1806611 0.0019984 EM
16 -0.15858097D+04 2.5983630 0.0016358 EM
17 -0.15836446D+04 2.1651113 0.0013653 EM
18 -0.15818160D+04 1.8286178 0.0011547 EM
19 -0.15800823D+04 1.7337425 0.0010960 EM
20 -0.15785739D+04 1.5084042 0.0009546 EM
21 -0.15776792D+04 0.8946900 0.0005668 EM
22 -0.15769674D+04 0.7117242 0.0004511 EM
23 -0.15764313D+04 0.5361128 0.0003400 EM
24 -0.15760174D+04 0.4139240 0.0002626 EM
25 -0.15757046D+04 0.3127991 0.0001985 EM
26 -0.15754624D+04 0.2421981 0.0001537 EM
27 -0.15752816D+04 0.1808164 0.0001148 EM
28 -0.15751556D+04 0.1259895 0.0000800 EM
29 -0.15750633D+04 0.0922936 0.0000586 EM
30 -0.15749950D+04 0.0683462 0.0000434 EM
31 -0.15749443D+04 0.0506360 0.0000321 EM
32 -0.15749068D+04 0.0375436 0.0000238 EM
33 -0.15748789D+04 0.0278609 0.0000177 EM
34 -0.15748582D+04 0.0206952 0.0000131 EM
35 -0.15748428D+04 0.0153870 0.0000098 EM
36 -0.15748314D+04 0.0114505 0.0000073 EM
37 -0.15747999D+04 0.0315216 0.0000200 FS
38 -0.15747981D+04 0.0017164 0.0000011 EM
39 -0.15747980D+04 0.0001113 0.0000001 EM
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.24402700D+04 0.0000000 0.0000000 EM
2 -0.17814527D+04 658.8172919 0.2699772 EM
3 -0.16800895D+04 101.3631646 0.0568992 EM
4 -0.16585313D+04 21.5582310 0.0128316 EM
5 -0.16519224D+04 6.6089197 0.0039848 EM
6 -0.16500961D+04 1.8262822 0.0011055 EM
7 -0.16452372D+04 4.8588774 0.0029446 EM
8 -0.16432253D+04 2.0118994 0.0012229 EM
9 -0.16385767D+04 4.6485986 0.0028289 EM
10 -0.16377290D+04 0.8477318 0.0005174 EM
11 -0.16336673D+04 4.0616385 0.0024800 EM
12 -0.16298616D+04 3.8057084 0.0023295 EM
13 -0.16254405D+04 4.4210986 0.0027126 EM
14 -0.16228307D+04 2.6098144 0.0016056 EM
15 -0.16181306D+04 4.7000594 0.0028962 EM
16 -0.16152063D+04 2.9243483 0.0018072 EM
17 -0.16107489D+04 4.4573534 0.0027596 EM
18 -0.16065602D+04 4.1887415 0.0026005 EM
19 -0.16038271D+04 2.7331025 0.0017012 EM
20 -0.16000300D+04 3.7971179 0.0023675 EM
21 -0.15961364D+04 3.8935912 0.0024334 EM
22 -0.15931448D+04 2.9915871 0.0018743 EM
23 -0.15897772D+04 3.3676173 0.0021138 EM
24 -0.15871929D+04 2.5842827 0.0016256 EM
25 -0.15845596D+04 2.6333575 0.0016591 EM
26 -0.15826073D+04 1.9522231 0.0012320 EM
27 -0.15808175D+04 1.7898377 0.0011309 EM
28 -0.15794715D+04 1.3460354 0.0008515 EM
29 -0.15783682D+04 1.1033000 0.0006985 EM
30 -0.15775239D+04 0.8442144 0.0005349 EM
31 -0.15768670D+04 0.6569072 0.0004164 EM
32 -0.15763668D+04 0.5002168 0.0003172 EM
33 -0.15759857D+04 0.3811183 0.0002418 EM
34 -0.15756962D+04 0.2895136 0.0001837 EM
35 -0.15754742D+04 0.2219916 0.0001409 EM
36 -0.15753005D+04 0.1736553 0.0001102 EM
37 -0.15751673D+04 0.1332575 0.0000846 EM
38 -0.15750732D+04 0.0940544 0.0000597 EM
39 -0.15750042D+04 0.0690183 0.0000438 EM
40 -0.15748206D+04 0.1836430 0.0001166 FS
41 -0.15747990D+04 0.0216076 0.0000137 EM
42 -0.15747986D+04 0.0003666 0.0000002 EM
Beginning Time: 22:57:18
Ending Time: 22:57:23
Elapsed Time: 00:00:05
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