Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:12 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a LCA with a second-order factor (twin analysis)
DATA: FILE IS ex7.18.dat;
VARIABLE: NAMES ARE u11-u13 u21-u23;
CLASSES = c1(2) c2(2);
CATEGORICAL = u11-u23;
ANALYSIS: TYPE = MIXTURE;
ALGORITHM = INTEGRATION;
MODEL:
%OVERALL%
f BY;
f@1;
c1 c2 ON f*1 (1);
MODEL c1:
%c1#1%
[u11$1-u13$1*-1];
%c1#2%
[u11$1-u13$1*1];
MODEL c2:
%c2#1%
[u21$1-u23$1*-1];
%c2#2%
[u21$1-u23$1*1];
OUTPUT: TECH1 TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of a LCA with a second-order factor (twin analysis)
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 5000
Number of dependent variables 6
Number of independent variables 0
Number of continuous latent variables 1
Number of categorical latent variables 2
Observed dependent variables
Binary and ordered categorical (ordinal)
U11 U12 U13 U21 U22 U23
Continuous latent variables
F
Categorical latent variables
C1 C2
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
Parameterization LOGIT
Link LOGIT
Cholesky ON
Input data file(s)
ex7.18.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U11
Category 1 0.499 2495.000
Category 2 0.501 2505.000
U12
Category 1 0.503 2516.000
Category 2 0.497 2484.000
U13
Category 1 0.505 2525.000
Category 2 0.495 2475.000
U21
Category 1 0.487 2437.000
Category 2 0.513 2563.000
U22
Category 1 0.502 2508.000
Category 2 0.498 2492.000
U23
Category 1 0.488 2440.000
Category 2 0.512 2560.000
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:
-20142.956 76974 16
-20142.956 533738 11
-20142.956 unperturbed 0
-20153.477 851945 18
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 15
Loglikelihood
H0 Value -20142.956
H0 Scaling Correction Factor 1.0035
for MLR
Information Criteria
Akaike (AIC) 40315.911
Bayesian (BIC) 40413.669
Sample-Size Adjusted BIC 40366.004
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit for the Binary and Ordered Categorical
(Ordinal) Outcomes
Pearson Chi-Square
Value 42.946
Degrees of Freedom 48
P-Value 0.6795
Likelihood Ratio Chi-Square
Value 43.600
Degrees of Freedom 48
P-Value 0.6535
FINAL CLASS COUNTS AND PROPORTIONS FOR EACH LATENT CLASS VARIABLE
BASED ON THE ESTIMATED MODEL
Latent Class
Variable Class
C1 1 2435.47534 0.48710
2 2564.52466 0.51290
C2 1 2295.80127 0.45916
2 2704.19873 0.54084
CLASSIFICATION QUALITY
Entropy 0.407
LATENT CLASS INDICATOR MEANS AND PROBABILITIES FOR EACH LATENT CLASS
MEAN/PROBABILITY PROFILES FOR C1
Latent class
1 2
U11
Category 1 0.733 0.276
Category 2 0.267 0.724
U12
Category 1 0.747 0.272
Category 2 0.253 0.728
U13
Category 1 0.741 0.280
Category 2 0.259 0.720
MEAN/PROBABILITY PROFILES FOR C2
Latent class
1 2
U21
Category 1 0.729 0.282
Category 2 0.271 0.718
U22
Category 1 0.784 0.262
Category 2 0.216 0.738
U23
Category 1 0.726 0.286
Category 2 0.274 0.714
LOGISTIC REGRESSION ODDS RATIO RESULTS
95% C.I.
Estimate S.E. Lower 2.5% Upper 2.5%
Categorical Latent Variables
C1#1 ON
F 2.365 0.293 1.855 3.014
C2#1 ON
F 2.365 0.293 1.855 3.014
LATENT TRANSITION PROBABILITIES BASED ON THE ESTIMATED MODEL
C1 Classes (Rows) by C2 Classes (Columns)
1 2
1 0.522 0.478
2 0.399 0.601
TRANSITION PROBABILITY ODDS
EVALUATED AT THE SAMPLE MEAN FOR ALL COVARIATES
TRANSITION TABLE ODDS AND 95% CONFIDENCE INTERVALS FOR C1 TO C2
1.000(1.000,1.000) 1.209(0.895,1.633)
0.827(0.612,1.117) 1.000(1.000,1.000)
COVARIATE EFFECTS ON TRANSITION PROBABILITY ODDS RATIOS
EFFECT OF F
TRANSITION TABLE ODDS RATIO AND 95% CONFIDENCE INTERVALS FOR C1 TO C2
1.000(1.000,1.000) 0.423(0.332,0.539)
2.365(1.855,3.014) 1.000(1.000,1.000)
C-SPECIFIC CLASSIFICATION RESULTS
Classification Quality for C1
Entropy 0.399
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.809 0.191
2 0.163 0.837
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.833 0.167
2 0.187 0.813
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 1.606 0.000
2 -1.470 0.000
Classification Quality for C2
Entropy 0.412
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.792 0.208
2 0.143 0.857
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.841 0.159
2 0.188 0.812
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 1.664 0.000
2 -1.463 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Parameters in the Overall Part of the Model (Parameters Equal in All of the Classes)
Variances
F 1.000 0.000 999.000 999.000
Parameters for Class-specific Model Parts of C1
Latent Class C1#1
Thresholds
U11$1 1.012 0.104 9.691 0.000
U12$1 1.080 0.110 9.780 0.000
U13$1 1.054 0.108 9.745 0.000
Latent Class C1#2
Thresholds
U11$1 -0.963 0.100 -9.645 0.000
U12$1 -0.984 0.103 -9.542 0.000
U13$1 -0.943 0.098 -9.645 0.000
Parameters for Class-specific Model Parts of C2
Latent Class C2#1
Thresholds
U21$1 0.992 0.103 9.621 0.000
U22$1 1.287 0.139 9.276 0.000
U23$1 0.976 0.102 9.556 0.000
Latent Class C2#2
Thresholds
U21$1 -0.935 0.092 -10.161 0.000
U22$1 -1.035 0.106 -9.808 0.000
U23$1 -0.917 0.090 -10.207 0.000
Categorical Latent Variables
C1#1 ON
F 0.861 0.124 6.951 0.000
C2#1 ON
F 0.861 0.124 6.951 0.000
Intercepts
C1#1 -0.060 0.155 -0.385 0.701
C2#1 -0.190 0.153 -1.239 0.215
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.222E-01
(ratio of smallest to largest eigenvalue)
RESULTS IN PROBABILITY SCALE
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Results for Class-specific Model Parts of C1
Latent Class C1#1
U11
Category 1 0.733 0.020 35.921 0.000
Category 2 0.267 0.020 13.057 0.000
U12
Category 1 0.747 0.021 35.718 0.000
Category 2 0.253 0.021 12.124 0.000
U13
Category 1 0.741 0.021 35.775 0.000
Category 2 0.259 0.021 12.473 0.000
Latent Class C1#2
U11
Category 1 0.276 0.020 13.845 0.000
Category 2 0.724 0.020 36.255 0.000
U12
Category 1 0.272 0.020 13.315 0.000
Category 2 0.728 0.020 35.634 0.000
U13
Category 1 0.280 0.020 14.219 0.000
Category 2 0.720 0.020 36.495 0.000
Results for Class-specific Model Parts of C2
Latent Class C2#1
U21
Category 1 0.729 0.020 35.851 0.000
Category 2 0.271 0.020 13.294 0.000
U22
Category 1 0.784 0.024 33.311 0.000
Category 2 0.216 0.024 9.200 0.000
U23
Category 1 0.726 0.020 35.774 0.000
Category 2 0.274 0.020 13.479 0.000
Latent Class C2#2
U21
Category 1 0.282 0.019 15.126 0.000
Category 2 0.718 0.019 38.544 0.000
U22
Category 1 0.262 0.020 12.846 0.000
Category 2 0.738 0.020 36.156 0.000
U23
Category 1 0.286 0.018 15.588 0.000
Category 2 0.714 0.018 38.984 0.000
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 1
NU
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
0 0 0 0 0
NU
U23
________
0
LAMBDA
F
________
U11 0
U12 0
U13 0
U21 0
U22 0
U23 0
THETA
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
U11 0
U12 0 0
U13 0 0 0
U21 0 0 0 0
U22 0 0 0 0 0
U23 0 0 0 0 0
THETA
U23
________
U23 0
ALPHA
F
________
0
BETA
F
________
F 0
PSI
F
________
F 0
PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 2
NU
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
0 0 0 0 0
NU
U23
________
0
LAMBDA
F
________
U11 0
U12 0
U13 0
U21 0
U22 0
U23 0
THETA
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
U11 0
U12 0 0
U13 0 0 0
U21 0 0 0 0
U22 0 0 0 0 0
U23 0 0 0 0 0
THETA
U23
________
U23 0
ALPHA
F
________
0
BETA
F
________
F 0
PSI
F
________
F 0
PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 1
NU
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
0 0 0 0 0
NU
U23
________
0
LAMBDA
F
________
U11 0
U12 0
U13 0
U21 0
U22 0
U23 0
THETA
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
U11 0
U12 0 0
U13 0 0 0
U21 0 0 0 0
U22 0 0 0 0 0
U23 0 0 0 0 0
THETA
U23
________
U23 0
ALPHA
F
________
0
BETA
F
________
F 0
PSI
F
________
F 0
PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 2
NU
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
0 0 0 0 0
NU
U23
________
0
LAMBDA
F
________
U11 0
U12 0
U13 0
U21 0
U22 0
U23 0
THETA
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
U11 0
U12 0 0
U13 0 0 0
U21 0 0 0 0
U22 0 0 0 0 0
U23 0 0 0 0 0
THETA
U23
________
U23 0
ALPHA
F
________
0
BETA
F
________
F 0
PSI
F
________
F 0
PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART
TAU(U) FOR LATENT CLASS PATTERN 1 1
U11$1 U12$1 U13$1 U21$1 U22$1
________ ________ ________ ________ ________
1 2 3 4 5
TAU(U) FOR LATENT CLASS PATTERN 1 1
U23$1
________
6
TAU(U) FOR LATENT CLASS PATTERN 1 2
U11$1 U12$1 U13$1 U21$1 U22$1
________ ________ ________ ________ ________
1 2 3 7 8
TAU(U) FOR LATENT CLASS PATTERN 1 2
U23$1
________
9
TAU(U) FOR LATENT CLASS PATTERN 2 1
U11$1 U12$1 U13$1 U21$1 U22$1
________ ________ ________ ________ ________
10 11 12 4 5
TAU(U) FOR LATENT CLASS PATTERN 2 1
U23$1
________
6
TAU(U) FOR LATENT CLASS PATTERN 2 2
U11$1 U12$1 U13$1 U21$1 U22$1
________ ________ ________ ________ ________
10 11 12 7 8
TAU(U) FOR LATENT CLASS PATTERN 2 2
U23$1
________
9
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C1#1 C1#2 C2#1 C2#2
________ ________ ________ ________
13 0 14 0
GAMMA(C)
F
________
C1#1 15
C1#2 0
C2#1 15
C2#2 0
STARTING VALUES FOR LATENT CLASS PATTERN 1 1
NU
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U23
________
0.000
LAMBDA
F
________
U11 0.000
U12 0.000
U13 0.000
U21 0.000
U22 0.000
U23 0.000
THETA
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
U11 1.000
U12 0.000 1.000
U13 0.000 0.000 1.000
U21 0.000 0.000 0.000 1.000
U22 0.000 0.000 0.000 0.000 1.000
U23 0.000 0.000 0.000 0.000 0.000
THETA
U23
________
U23 1.000
ALPHA
F
________
0.000
BETA
F
________
F 0.000
PSI
F
________
F 1.000
STARTING VALUES FOR LATENT CLASS PATTERN 1 2
NU
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U23
________
0.000
LAMBDA
F
________
U11 0.000
U12 0.000
U13 0.000
U21 0.000
U22 0.000
U23 0.000
THETA
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
U11 1.000
U12 0.000 1.000
U13 0.000 0.000 1.000
U21 0.000 0.000 0.000 1.000
U22 0.000 0.000 0.000 0.000 1.000
U23 0.000 0.000 0.000 0.000 0.000
THETA
U23
________
U23 1.000
ALPHA
F
________
0.000
BETA
F
________
F 0.000
PSI
F
________
F 1.000
STARTING VALUES FOR LATENT CLASS PATTERN 2 1
NU
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U23
________
0.000
LAMBDA
F
________
U11 0.000
U12 0.000
U13 0.000
U21 0.000
U22 0.000
U23 0.000
THETA
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
U11 1.000
U12 0.000 1.000
U13 0.000 0.000 1.000
U21 0.000 0.000 0.000 1.000
U22 0.000 0.000 0.000 0.000 1.000
U23 0.000 0.000 0.000 0.000 0.000
THETA
U23
________
U23 1.000
ALPHA
F
________
0.000
BETA
F
________
F 0.000
PSI
F
________
F 1.000
STARTING VALUES FOR LATENT CLASS PATTERN 2 2
NU
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U23
________
0.000
LAMBDA
F
________
U11 0.000
U12 0.000
U13 0.000
U21 0.000
U22 0.000
U23 0.000
THETA
U11 U12 U13 U21 U22
________ ________ ________ ________ ________
U11 1.000
U12 0.000 1.000
U13 0.000 0.000 1.000
U21 0.000 0.000 0.000 1.000
U22 0.000 0.000 0.000 0.000 1.000
U23 0.000 0.000 0.000 0.000 0.000
THETA
U23
________
U23 1.000
ALPHA
F
________
0.000
BETA
F
________
F 0.000
PSI
F
________
F 1.000
STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART
TAU(U) FOR LATENT CLASS PATTERN 1 1
U11$1 U12$1 U13$1 U21$1 U22$1
________ ________ ________ ________ ________
-1.000 -1.000 -1.000 -1.000 -1.000
TAU(U) FOR LATENT CLASS PATTERN 1 1
U23$1
________
-1.000
TAU(U) FOR LATENT CLASS PATTERN 1 2
U11$1 U12$1 U13$1 U21$1 U22$1
________ ________ ________ ________ ________
-1.000 -1.000 -1.000 1.000 1.000
TAU(U) FOR LATENT CLASS PATTERN 1 2
U23$1
________
1.000
TAU(U) FOR LATENT CLASS PATTERN 2 1
U11$1 U12$1 U13$1 U21$1 U22$1
________ ________ ________ ________ ________
1.000 1.000 1.000 -1.000 -1.000
TAU(U) FOR LATENT CLASS PATTERN 2 1
U23$1
________
-1.000
TAU(U) FOR LATENT CLASS PATTERN 2 2
U11$1 U12$1 U13$1 U21$1 U22$1
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
TAU(U) FOR LATENT CLASS PATTERN 2 2
U23$1
________
1.000
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C1#1 C1#2 C2#1 C2#2
________ ________ ________ ________
0.000 0.000 0.000 0.000
GAMMA(C)
F
________
C1#1 1.000
C1#2 0.000
C2#1 1.000
C2#2 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 -0.20150468D+05 0.0000000 0.0000000 EM
2 -0.20145955D+05 4.5126575 0.0002239 EM
3 -0.20145216D+05 0.7391764 0.0000367 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.22901633D+05 0.0000000 0.0000000 EM
2 -0.20689398D+05 2212.2350923 0.0965973 EM
3 -0.20582490D+05 106.9083465 0.0051673 EM
4 -0.20530285D+05 52.2044705 0.0025364 EM
5 -0.20509553D+05 20.7322550 0.0010098 EM
6 -0.20502187D+05 7.3660627 0.0003592 EM
7 -0.20499221D+05 2.9662751 0.0001447 EM
8 -0.20497636D+05 1.5843457 0.0000773 EM
9 -0.20496532D+05 1.1041619 0.0000539 EM
10 -0.20495588D+05 0.9442647 0.0000461 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.28419520D+05 0.0000000 0.0000000 EM
2 -0.20928752D+05 7490.7684059 0.2635783 EM
3 -0.20781808D+05 146.9434854 0.0070211 EM
4 -0.20665355D+05 116.4533019 0.0056036 EM
5 -0.20537416D+05 127.9393085 0.0061910 EM
6 -0.20406716D+05 130.6999173 0.0063640 EM
7 -0.20300973D+05 105.7429658 0.0051818 EM
8 -0.20235128D+05 65.8453670 0.0032435 EM
9 -0.20202606D+05 32.5214011 0.0016072 EM
10 -0.20188727D+05 13.8789898 0.0006870 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.26127726D+05 0.0000000 0.0000000 EM
2 -0.20654235D+05 5473.4908097 0.2094898 EM
3 -0.20552028D+05 102.2066028 0.0049485 EM
4 -0.20485859D+05 66.1698180 0.0032196 EM
5 -0.20436208D+05 49.6504761 0.0024236 EM
6 -0.20394223D+05 41.9849565 0.0020544 FS
7 -0.20320880D+05 73.3431382 0.0035963 FS
8 -0.20332177D+05 -11.2973411 -0.0005559 EM
9 -0.20320951D+05 11.2259441 0.0005521 EM
10 -0.20313010D+05 7.9417123 0.0003908 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.25390909D+05 0.0000000 0.0000000 EM
2 -0.20823646D+05 4567.2627350 0.1798779 EM
3 -0.20617648D+05 205.9980044 0.0098925 EM
4 -0.20446484D+05 171.1636598 0.0083018 EM
5 -0.20312435D+05 134.0489787 0.0065561 EM
6 -0.20229835D+05 82.6003745 0.0040665 EM
7 -0.20190118D+05 39.7167529 0.0019633 EM
8 -0.20173349D+05 16.7697485 0.0008306 EM
9 -0.20165586D+05 7.7625426 0.0003848 EM
10 -0.20161046D+05 4.5402527 0.0002251 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.22893006D+05 0.0000000 0.0000000 EM
2 -0.20437635D+05 2455.3707885 0.1072542 EM
3 -0.20311441D+05 126.1940903 0.0061746 EM
4 -0.20273858D+05 37.5832467 0.0018503 EM
5 -0.20262145D+05 11.7121168 0.0005777 EM
6 -0.20256729D+05 5.4168506 0.0002673 EM
7 -0.20252746D+05 3.9829870 0.0001966 EM
8 -0.20249117D+05 3.6281762 0.0001791 EM
9 -0.20245594D+05 3.5238242 0.0001740 EM
10 -0.20242097D+05 3.4964422 0.0001727 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.26363763D+05 0.0000000 0.0000000 EM
2 -0.20386825D+05 5976.9370860 0.2267103 EM
3 -0.20262714D+05 124.1117759 0.0060878 EM
4 -0.20230251D+05 32.4624534 0.0016021 EM
5 -0.20217542D+05 12.7094558 0.0006282 EM
6 -0.20210497D+05 7.0444667 0.0003484 EM
7 -0.20205285D+05 5.2123712 0.0002579 EM
8 -0.20200710D+05 4.5748221 0.0002264 EM
9 -0.20196367D+05 4.3426814 0.0002150 EM
10 -0.20192123D+05 4.2449289 0.0002102 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.30927393D+05 0.0000000 0.0000000 EM
2 -0.20745491D+05 ************ 0.3292196 EM
3 -0.20462098D+05 283.3921309 0.0136604 EM
4 -0.20344123D+05 117.9759496 0.0057656 EM
5 -0.20274715D+05 69.4078569 0.0034117 EM
6 -0.20237324D+05 37.3901782 0.0018442 EM
7 -0.20219785D+05 17.5394924 0.0008667 EM
8 -0.20211714D+05 8.0713641 0.0003992 EM
9 -0.20207510D+05 4.2040528 0.0002080 EM
10 -0.20204902D+05 2.6074638 0.0001290 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.26121351D+05 0.0000000 0.0000000 EM
2 -0.20365777D+05 5755.5745797 0.2203398 EM
3 -0.20291164D+05 74.6130519 0.0036636 EM
4 -0.20269009D+05 22.1548969 0.0010918 EM
5 -0.20259121D+05 9.8873063 0.0004878 EM
6 -0.20253235D+05 5.8859546 0.0002905 EM
7 -0.20248851D+05 4.3844743 0.0002165 EM
8 -0.20245081D+05 3.7695113 0.0001862 EM
9 -0.20241583D+05 3.4982413 0.0001728 EM
10 -0.20238215D+05 3.3680447 0.0001664 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.33169769D+05 0.0000000 0.0000000 EM
2 -0.20294124D+05 ************ 0.3881741 EM
3 -0.20217147D+05 76.9765675 0.0037930 EM
4 -0.20202027D+05 15.1196046 0.0007479 EM
5 -0.20195835D+05 6.1929348 0.0003066 EM
6 -0.20192315D+05 3.5192227 0.0001743 EM
7 -0.20189918D+05 2.3971811 0.0001187 EM
8 -0.20188065D+05 1.8530268 0.0000918 EM
9 -0.20186495D+05 1.5697962 0.0000778 EM
10 -0.20185077D+05 1.4185695 0.0000703 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.28596103D+05 0.0000000 0.0000000 EM
2 -0.20348352D+05 8247.7514550 0.2884222 EM
3 -0.20220975D+05 127.3768354 0.0062598 EM
4 -0.20201268D+05 19.7065062 0.0009746 EM
5 -0.20194866D+05 6.4020141 0.0003169 EM
6 -0.20191361D+05 3.5050476 0.0001736 EM
7 -0.20188866D+05 2.4956434 0.0001236 EM
8 -0.20186843D+05 2.0223690 0.0001002 EM
9 -0.20185082D+05 1.7613687 0.0000873 EM
10 -0.20183476D+05 1.6060067 0.0000796 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.24590823D+05 0.0000000 0.0000000 EM
2 -0.20542302D+05 4048.5209641 0.1646354 EM
3 -0.20469860D+05 72.4425932 0.0035265 EM
4 -0.20421182D+05 48.6772731 0.0023780 EM
5 -0.20362864D+05 58.3184291 0.0028558 EM
6 -0.20170830D+05 192.0339061 0.0094306 FS
7 -0.20143679D+05 27.1505642 0.0013460 FS
8 -0.20142958D+05 0.7212194 0.0000358 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.21629022D+05 0.0000000 0.0000000 EM
2 -0.20584726D+05 1044.2962381 0.0482822 EM
3 -0.20501426D+05 83.3001957 0.0040467 EM
4 -0.20434809D+05 66.6162695 0.0032493 EM
5 -0.20363294D+05 71.5153080 0.0034997 EM
6 -0.20295553D+05 67.7409479 0.0033266 EM
7 -0.20245805D+05 49.7480481 0.0024512 EM
8 -0.20216942D+05 28.8625419 0.0014256 EM
9 -0.20201269D+05 15.6731891 0.0007753 EM
10 -0.20191269D+05 9.9999242 0.0004950 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.30732881D+05 0.0000000 0.0000000 EM
2 -0.20356033D+05 ************ 0.3376465 EM
3 -0.20271241D+05 84.7919097 0.0041654 EM
4 -0.20254730D+05 16.5104743 0.0008145 EM
5 -0.20247551D+05 7.1788594 0.0003544 EM
6 -0.20242224D+05 5.3277292 0.0002631 EM
7 -0.20237426D+05 4.7981858 0.0002370 EM
8 -0.20232863D+05 4.5624591 0.0002254 EM
9 -0.20228445D+05 4.4175751 0.0002183 EM
10 -0.20224138D+05 4.3074934 0.0002129 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.40500983D+05 0.0000000 0.0000000 EM
2 -0.20377661D+05 ************ 0.4968601 EM
3 -0.20302699D+05 74.9615059 0.0036786 EM
4 -0.20284855D+05 17.8443653 0.0008789 EM
5 -0.20278443D+05 6.4120748 0.0003161 EM
6 -0.20274346D+05 4.0961196 0.0002020 EM
7 -0.20270717D+05 3.6290213 0.0001790 EM
8 -0.20267207D+05 3.5103631 0.0001732 EM
9 -0.20263780D+05 3.4274776 0.0001691 EM
10 -0.20260471D+05 3.3089750 0.0001633 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.29468427D+05 0.0000000 0.0000000 EM
2 -0.20264029D+05 9204.3983211 0.3123478 EM
3 -0.20209317D+05 54.7119669 0.0027000 EM
4 -0.20196930D+05 12.3866333 0.0006129 EM
5 -0.20191426D+05 5.5039361 0.0002725 EM
6 -0.20187913D+05 3.5128685 0.0001740 EM
7 -0.20185175D+05 2.7383999 0.0001356 EM
8 -0.20182783D+05 2.3916187 0.0001185 EM
9 -0.20180553D+05 2.2300982 0.0001105 EM
10 -0.20178394D+05 2.1597199 0.0001070 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.24699539D+05 0.0000000 0.0000000 EM
2 -0.20657170D+05 4042.3681861 0.1636617 EM
3 -0.20468308D+05 188.8623999 0.0091427 EM
4 -0.20332311D+05 135.9975184 0.0066443 EM
5 -0.20242357D+05 89.9531222 0.0044241 EM
6 -0.20194303D+05 48.0545158 0.0023740 EM
7 -0.20172842D+05 21.4614404 0.0010627 EM
8 -0.20163027D+05 9.8146740 0.0004865 EM
9 -0.20157509D+05 5.5176784 0.0002737 EM
10 -0.20153807D+05 3.7022541 0.0001837 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.32418052D+05 0.0000000 0.0000000 EM
2 -0.20806337D+05 ************ 0.3581867 EM
3 -0.20496752D+05 309.5856513 0.0148794 EM
4 -0.20339061D+05 157.6910802 0.0076935 EM
5 -0.20247910D+05 91.1505938 0.0044816 EM
6 -0.20201930D+05 45.9799893 0.0022709 EM
7 -0.20182857D+05 19.0726915 0.0009441 EM
8 -0.20175418D+05 7.4394095 0.0003686 EM
9 -0.20171953D+05 3.4648737 0.0001717 EM
10 -0.20169781D+05 2.1719516 0.0001077 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.29233753D+05 0.0000000 0.0000000 EM
2 -0.20550687D+05 8683.0659575 0.2970219 EM
3 -0.20341485D+05 209.2019318 0.0101798 EM
4 -0.20264546D+05 76.9385050 0.0037823 EM
5 -0.20229157D+05 35.3895201 0.0017464 EM
6 -0.20211765D+05 17.3921902 0.0008598 EM
7 -0.20201837D+05 9.9274234 0.0004912 EM
8 -0.20195054D+05 6.7837966 0.0003358 EM
9 -0.20188603D+05 6.4505369 0.0003194 FS
10 -0.20160447D+05 28.1556281 0.0013946 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.37342225D+05 0.0000000 0.0000000 EM
2 -0.20588162D+05 ************ 0.4486627 EM
3 -0.20346764D+05 241.3985830 0.0117251 EM
4 -0.20255584D+05 91.1796958 0.0044813 EM
5 -0.20217537D+05 38.0475846 0.0018784 EM
6 -0.20201536D+05 16.0002661 0.0007914 EM
7 -0.20193206D+05 8.3299356 0.0004123 EM
8 -0.20187313D+05 5.8936854 0.0002919 EM
9 -0.20182332D+05 4.9811561 0.0002467 EM
10 -0.20177856D+05 4.4759750 0.0002218 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.28661951D+05 0.0000000 0.0000000 EM
2 -0.20700669D+05 7961.2821350 0.2777648 EM
3 -0.20516055D+05 184.6141364 0.0089183 EM
4 -0.20379747D+05 136.3080789 0.0066440 EM
5 -0.20284577D+05 95.1702088 0.0046698 EM
6 -0.20231196D+05 53.3804358 0.0026316 EM
7 -0.20208606D+05 22.5900056 0.0011166 EM
8 -0.20200571D+05 8.0352436 0.0003976 EM
9 -0.20197316D+05 3.2552159 0.0001611 EM
10 -0.20195312D+05 2.0040404 0.0000992 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.24590823D+05 0.0000000 0.0000000 EM
2 -0.20542302D+05 4048.5209641 0.1646354 EM
3 -0.20469860D+05 72.4425932 0.0035265 EM
4 -0.20421182D+05 48.6772731 0.0023780 EM
5 -0.20362864D+05 58.3184291 0.0028558 EM
6 -0.20170830D+05 192.0339061 0.0094306 FS
7 -0.20143679D+05 27.1505642 0.0013460 FS
8 -0.20142958D+05 0.7212194 0.0000358 FS
9 -0.20142956D+05 0.0027268 0.0000001 FS
10 -0.20142956D+05 0.0000143 0.0000000 FS
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.20150468D+05 0.0000000 0.0000000 EM
2 -0.20145955D+05 4.5126575 0.0002239 EM
3 -0.20145216D+05 0.7391764 0.0000367 EM
4 -0.20144748D+05 0.4683941 0.0000233 EM
5 -0.20144433D+05 0.3146529 0.0000156 EM
6 -0.20143011D+05 1.4224744 0.0000706 FS
7 -0.20142956D+05 0.0550399 0.0000027 FS
8 -0.20142956D+05 0.0001216 0.0000000 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.24699539D+05 0.0000000 0.0000000 EM
2 -0.20657170D+05 4042.3681861 0.1636617 EM
3 -0.20468308D+05 188.8623999 0.0091427 EM
4 -0.20332311D+05 135.9975184 0.0066443 EM
5 -0.20242357D+05 89.9531222 0.0044241 EM
6 -0.20194303D+05 48.0545158 0.0023740 EM
7 -0.20172842D+05 21.4614404 0.0010627 EM
8 -0.20163027D+05 9.8146740 0.0004865 EM
9 -0.20157509D+05 5.5176784 0.0002737 EM
10 -0.20153807D+05 3.7022541 0.0001837 EM
11 -0.20151157D+05 2.6499927 0.0001315 EM
12 -0.20149252D+05 1.9046837 0.0000945 EM
13 -0.20147900D+05 1.3519496 0.0000671 EM
14 -0.20146952D+05 0.9487185 0.0000471 EM
15 -0.20146288D+05 0.6632103 0.0000329 EM
16 -0.20145822D+05 0.4666005 0.0000232 EM
17 -0.20145488D+05 0.3340821 0.0000166 EM
18 -0.20145242D+05 0.2459942 0.0000122 EM
19 -0.20145054D+05 0.1877817 0.0000093 EM
20 -0.20144905D+05 0.1492118 0.0000074 EM
21 -0.20144781D+05 0.1233614 0.0000061 EM
22 -0.20144676D+05 0.1056745 0.0000052 EM
23 -0.20144582D+05 0.0932115 0.0000046 EM
24 -0.20144498D+05 0.0841003 0.0000042 EM
25 -0.20144421D+05 0.0771575 0.0000038 EM
26 -0.20144350D+05 0.0716374 0.0000036 EM
27 -0.20144282D+05 0.0670696 0.0000033 EM
28 -0.20144219D+05 0.0631564 0.0000031 EM
29 -0.20144160D+05 0.0597075 0.0000030 EM
30 -0.20144103D+05 0.0566004 0.0000028 EM
31 -0.20144049D+05 0.0537549 0.0000027 EM
32 -0.20143998D+05 0.0511178 0.0000025 EM
33 -0.20143949D+05 0.0486528 0.0000024 EM
34 -0.20143903D+05 0.0463346 0.0000023 EM
35 -0.20143859D+05 0.0441453 0.0000022 EM
36 -0.20143817D+05 0.0420716 0.0000021 EM
37 -0.20143777D+05 0.0401031 0.0000020 EM
38 -0.20143739D+05 0.0382318 0.0000019 EM
39 -0.20143702D+05 0.0364512 0.0000018 EM
40 -0.20143667D+05 0.0347556 0.0000017 EM
41 -0.20143634D+05 0.0331400 0.0000016 EM
42 -0.20143603D+05 0.0316003 0.0000016 EM
43 -0.20143573D+05 0.0301325 0.0000015 EM
44 -0.20143544D+05 0.0287331 0.0000014 EM
45 -0.20143516D+05 0.0273986 0.0000014 EM
46 -0.20143490D+05 0.0261260 0.0000013 EM
47 -0.20143465D+05 0.0249123 0.0000012 EM
48 -0.20143442D+05 0.0237549 0.0000012 EM
49 -0.20142962D+05 0.4797862 0.0000238 FS
50 -0.20142956D+05 0.0062302 0.0000003 FS
51 -0.20142956D+05 0.0000276 0.0000000 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.29233753D+05 0.0000000 0.0000000 EM
2 -0.20550687D+05 8683.0659575 0.2970219 EM
3 -0.20341485D+05 209.2019318 0.0101798 EM
4 -0.20264546D+05 76.9385050 0.0037823 EM
5 -0.20229157D+05 35.3895201 0.0017464 EM
6 -0.20211765D+05 17.3921902 0.0008598 EM
7 -0.20201837D+05 9.9274234 0.0004912 EM
8 -0.20195054D+05 6.7837966 0.0003358 EM
9 -0.20188603D+05 6.4505369 0.0003194 FS
10 -0.20160447D+05 28.1556281 0.0013946 EM
11 -0.20157459D+05 2.9884603 0.0001482 EM
12 -0.20156399D+05 1.0602594 0.0000526 EM
13 -0.20155926D+05 0.4723202 0.0000234 EM
14 -0.20155650D+05 0.2759913 0.0000137 EM
15 -0.20155455D+05 0.1957999 0.0000097 EM
16 -0.20155300D+05 0.1547812 0.0000077 EM
17 -0.20155170D+05 0.1299089 0.0000064 EM
18 -0.20155057D+05 0.1130938 0.0000056 EM
19 -0.20154956D+05 0.1008630 0.0000050 EM
20 -0.20154864D+05 0.0914550 0.0000045 EM
21 -0.20154781D+05 0.0838782 0.0000042 EM
22 -0.20154703D+05 0.0775405 0.0000038 EM
23 -0.20154631D+05 0.0720760 0.0000036 EM
24 -0.20154564D+05 0.0672525 0.0000033 EM
25 -0.20154501D+05 0.0629194 0.0000031 EM
26 -0.20154442D+05 0.0589764 0.0000029 EM
27 -0.20154386D+05 0.0553550 0.0000027 EM
28 -0.20154334D+05 0.0520068 0.0000026 EM
29 -0.20154286D+05 0.0488966 0.0000024 EM
30 -0.20154240D+05 0.0459976 0.0000023 EM
31 -0.20154196D+05 0.0432890 0.0000021 EM
32 -0.20154155D+05 0.0407537 0.0000020 EM
33 -0.20154117D+05 0.0383776 0.0000019 EM
34 -0.20154081D+05 0.0361486 0.0000018 EM
35 -0.20154047D+05 0.0340559 0.0000017 EM
36 -0.20154015D+05 0.0320900 0.0000016 EM
37 -0.20153985D+05 0.0302424 0.0000015 EM
38 -0.20153956D+05 0.0285054 0.0000014 EM
39 -0.20153929D+05 0.0268716 0.0000013 EM
40 -0.20153904D+05 0.0253346 0.0000013 EM
41 -0.20153880D+05 0.0238883 0.0000012 EM
42 -0.20153857D+05 0.0225270 0.0000011 EM
43 -0.20153836D+05 0.0212454 0.0000011 EM
44 -0.20153816D+05 0.0200387 0.0000010 EM
45 -0.20153797D+05 0.0189023 0.0000009 EM
46 -0.20153779D+05 0.0178319 0.0000009 EM
47 -0.20153763D+05 0.0168236 0.0000008 EM
48 -0.20153747D+05 0.0158736 0.0000008 EM
49 -0.20153732D+05 0.0149784 0.0000007 EM
50 -0.20153718D+05 0.0141347 0.0000007 EM
51 -0.20153704D+05 0.0133396 0.0000007 EM
52 -0.20153692D+05 0.0125900 0.0000006 EM
53 -0.20153680D+05 0.0118834 0.0000006 EM
54 -0.20153669D+05 0.0112172 0.0000006 EM
55 -0.20153658D+05 0.0105890 0.0000005 EM
56 -0.20153648D+05 0.0099966 0.0000005 EM
57 -0.20153639D+05 0.0094379 0.0000005 EM
58 -0.20153630D+05 0.0089110 0.0000004 EM
59 -0.20153621D+05 0.0084140 0.0000004 EM
60 -0.20153613D+05 0.0079451 0.0000004 EM
61 -0.20153606D+05 0.0075028 0.0000004 EM
62 -0.20153599D+05 0.0070855 0.0000004 EM
63 -0.20153592D+05 0.0066917 0.0000003 EM
64 -0.20153586D+05 0.0063202 0.0000003 EM
65 -0.20153580D+05 0.0059696 0.0000003 EM
66 -0.20153521D+05 0.0589448 0.0000029 QN
67 -0.20153519D+05 0.0021267 0.0000001 EM
68 -0.20153517D+05 0.0020195 0.0000001 EM
69 -0.20153515D+05 0.0019217 0.0000001 EM
70 -0.20153513D+05 0.0018292 0.0000001 EM
71 -0.20153511D+05 0.0017413 0.0000001 EM
72 -0.20153509D+05 0.0016578 0.0000001 EM
73 -0.20153508D+05 0.0015782 0.0000001 EM
74 -0.20153506D+05 0.0015025 0.0000001 EM
75 -0.20153505D+05 0.0014304 0.0000001 EM
76 -0.20153504D+05 0.0013618 0.0000001 EM
77 -0.20153502D+05 0.0012965 0.0000001 EM
78 -0.20153477D+05 0.0255795 0.0000013 QN
79 -0.20153477D+05 0.0001248 0.0000000 EM
Beginning Time: 23:12:59
Ending Time: 23:13:00
Elapsed Time: 00:00:01
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