Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:14 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a continuous-time survival mixture analysis
using a Cox regression model
DATA: FILE = ex8.17.dat;
VARIABLE: NAMES = t u1-u5 x tc;
CATEGORICAL = u1-u5;
CLASSES = c (2);
SURVIVAL = t (ALL);
TIMECENSORED = tc (0 = NOT 1 = RIGHT);
ANALYSIS: TYPE = MIXTURE;
MODEL: %OVERALL%
t ON x;
c ON x;
%c#1%
[u1$1-u5$1];
t ON x;
%c#2%
[u1$1-u5$1];
t ON x;
OUTPUT: TECH1 TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of a continuous-time survival mixture analysis
using a Cox regression model
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1000
Number of dependent variables 6
Number of independent variables 1
Number of continuous latent variables 0
Number of categorical latent variables 1
Observed dependent variables
Binary and ordered categorical (ordinal)
U1 U2 U3 U4 U5
Time-to-event (survival)
Non-parametric
T
Observed independent variables
X
Categorical latent variables
C
Variables with special functions
Time-censoring variables
TC
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
Base Hazard EQUAL ACROSS CLASSES
Input data file(s)
ex8.17.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U1
Category 1 0.493 493.000
Category 2 0.507 507.000
U2
Category 1 0.496 496.000
Category 2 0.504 504.000
U3
Category 1 0.494 494.000
Category 2 0.506 506.000
U4
Category 1 0.514 514.000
Category 2 0.486 486.000
U5
Category 1 0.516 516.000
Category 2 0.484 484.000
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 -0.001 0.038 -3.542 0.10% -0.800 -0.266 -0.012
1000.000 0.996 -0.032 3.254 0.10% 0.232 0.840
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:
-3025.792 93468 3
-3025.792 76974 16
-3025.792 127215 9
-3025.792 unperturbed 0
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 -3025.792
H0 Scaling Correction Factor 0.9925
for MLR
Information Criteria
Akaike (AIC) 6081.584
Bayesian (BIC) 6155.200
Sample-Size Adjusted BIC 6107.559
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit for the Binary and Ordered Categorical
(Ordinal) Outcomes
Pearson Chi-Square
Value 22.661
Degrees of Freedom 20
P-Value 0.3057
Likelihood Ratio Chi-Square
Value 22.148
Degrees of Freedom 20
P-Value 0.3325
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL
Latent
Classes
1 505.74907 0.50575
2 494.25093 0.49425
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 505.74869 0.50575
2 494.25131 0.49425
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 503 0.50300
2 497 0.49700
CLASSIFICATION QUALITY
Entropy 0.647
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.901 0.099
2 0.105 0.895
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.896 0.104
2 0.100 0.900
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 2.158 0.000
2 -2.192 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Latent Class 1
T ON
X 0.662 0.110 6.018 0.000
Intercepts
T -0.793 0.147 -5.398 0.000
Thresholds
U1$1 -0.973 0.117 -8.317 0.000
U2$1 -1.077 0.130 -8.275 0.000
U3$1 -1.078 0.130 -8.259 0.000
U4$1 -0.959 0.122 -7.841 0.000
U5$1 -0.891 0.119 -7.472 0.000
Latent Class 2
T ON
X 0.402 0.077 5.208 0.000
Intercepts
T 0.000 0.000 999.000 999.000
Thresholds
U1$1 0.929 0.126 7.394 0.000
U2$1 1.065 0.129 8.284 0.000
U3$1 1.044 0.124 8.420 0.000
U4$1 1.133 0.133 8.506 0.000
U5$1 1.080 0.128 8.449 0.000
Categorical Latent Variables
C#1 ON
X -1.130 0.112 -10.047 0.000
Intercepts
C#1 0.025 0.119 0.206 0.837
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.998E-01
(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 0.274 0.023 11.771 0.000
Category 2 0.726 0.023 31.159 0.000
U2
Category 1 0.254 0.025 10.300 0.000
Category 2 0.746 0.025 30.241 0.000
U3
Category 1 0.254 0.025 10.272 0.000
Category 2 0.746 0.025 30.179 0.000
U4
Category 1 0.277 0.024 11.309 0.000
Category 2 0.723 0.024 29.508 0.000
U5
Category 1 0.291 0.025 11.820 0.000
Category 2 0.709 0.025 28.823 0.000
Latent Class 2
U1
Category 1 0.717 0.026 28.110 0.000
Category 2 0.283 0.026 11.101 0.000
U2
Category 1 0.744 0.025 30.346 0.000
Category 2 0.256 0.025 10.466 0.000
U3
Category 1 0.740 0.024 30.973 0.000
Category 2 0.260 0.024 10.902 0.000
U4
Category 1 0.756 0.025 30.817 0.000
Category 2 0.244 0.025 9.922 0.000
U5
Category 1 0.746 0.024 30.863 0.000
Category 2 0.254 0.024 10.485 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 6.703 1.217 4.696 9.567
U2
Category > 1 8.513 1.614 5.871 12.343
U3
Category > 1 8.346 1.574 5.767 12.079
U4
Category > 1 8.104 1.521 5.610 11.707
U5
Category > 1 7.178 1.317 5.010 10.285
LOGISTIC REGRESSION ODDS RATIO RESULTS
95% C.I.
Estimate S.E. Lower 2.5% Upper 2.5%
Categorical Latent Variables
C#1 ON
X 0.323 0.036 0.259 0.403
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 1.130 0.112 10.047 0.000
Intercepts
C#2 -0.025 0.119 -0.206 0.837
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 3.094 0.348 2.482 3.857
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR LATENT CLASS 1
NU
X
________
0
LAMBDA
X
________
X 0
THETA
X
________
X 0
ALPHA
X
________
0
BETA
X
________
X 0
PSI
X
________
X 0
PARAMETER SPECIFICATION FOR LATENT CLASS 2
NU
X
________
0
LAMBDA
X
________
X 0
THETA
X
________
X 0
ALPHA
X
________
0
BETA
X
________
X 0
PSI
X
________
X 0
PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART
TAU(U) FOR LATENT CLASS 1
U1$1 U2$1 U3$1 U4$1 U5$1
________ ________ ________ ________ ________
1 2 3 4 5
TAU(U) FOR LATENT CLASS 2
U1$1 U2$1 U3$1 U4$1 U5$1
________ ________ ________ ________ ________
6 7 8 9 10
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
11 0
GAMMA(C)
X
________
C#1 12
C#2 0
PARAMETER SPECIFICATION FOR THE CENSORED/NOMINAL/COUNT MODEL PART
NU(P) FOR LATENT CLASS 1
T#1 T
________ ________
0 13
KAPPA(P) FOR LATENT CLASS 1
X
________
T#1 0
T 14
NU(P) FOR LATENT CLASS 2
T#1 T
________ ________
0 0
KAPPA(P) FOR LATENT CLASS 2
X
________
T#1 0
T 15
STARTING VALUES FOR LATENT CLASS 1
NU
X
________
0.000
LAMBDA
X
________
X 1.000
THETA
X
________
X 0.000
ALPHA
X
________
0.000
BETA
X
________
X 0.000
PSI
X
________
X 0.498
STARTING VALUES FOR LATENT CLASS 2
NU
X
________
0.000
LAMBDA
X
________
X 1.000
THETA
X
________
X 0.000
ALPHA
X
________
0.000
BETA
X
________
X 0.000
PSI
X
________
X 0.498
STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART
TAU(U) FOR LATENT CLASS 1
U1$1 U2$1 U3$1 U4$1 U5$1
________ ________ ________ ________ ________
-1.028 -1.016 -1.024 -0.944 -0.936
TAU(U) FOR LATENT CLASS 2
U1$1 U2$1 U3$1 U4$1 U5$1
________ ________ ________ ________ ________
0.972 0.984 0.976 1.056 1.064
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
0.000 0.000
GAMMA(C)
X
________
C#1 0.000
C#2 0.000
STARTING VALUES FOR THE CENSORED/NOMINAL/COUNT MODEL PART
NU(P) FOR LATENT CLASS 1
T#1 T
________ ________
-20.000 0.000
KAPPA(P) FOR LATENT CLASS 1
X
________
T#1 0.000
T 0.000
NU(P) FOR LATENT CLASS 2
T#1 T
________ ________
-20.000 0.000
KAPPA(P) FOR LATENT CLASS 2
X
________
T#1 0.000
T 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 -0.31912756D+04 0.0000000 0.0000000 EM
2 -0.30504635D+04 140.8120762 0.0441241 EM
3 -0.30298339D+04 20.6296060 0.0067628 EM
4 -0.30265551D+04 3.2788246 0.0010822 EM
5 -0.30259605D+04 0.5945546 0.0001964 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.47706374D+04 0.0000000 0.0000000 EM
2 -0.32374021D+04 1533.2353002 0.3213900 EM
3 -0.31106364D+04 126.7657256 0.0391566 EM
4 -0.30636078D+04 47.0285868 0.0151186 EM
5 -0.30435936D+04 20.0141656 0.0065329 EM
6 -0.30350214D+04 8.5722124 0.0028165 EM
7 -0.30312847D+04 3.7367175 0.0012312 EM
8 -0.30293503D+04 1.9343854 0.0006381 EM
9 -0.30281758D+04 1.1745359 0.0003877 EM
10 -0.30274066D+04 0.7691581 0.0002540 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.63139600D+04 0.0000000 0.0000000 EM
2 -0.33061050D+04 3007.8550154 0.4763817 EM
3 -0.31893495D+04 116.7555290 0.0353151 EM
4 -0.30883916D+04 100.9578578 0.0316547 EM
5 -0.30456598D+04 42.7318034 0.0138363 EM
6 -0.30355183D+04 10.1415265 0.0033298 EM
7 -0.30318824D+04 3.6358933 0.0011978 EM
8 -0.30298604D+04 2.0219408 0.0006669 EM
9 -0.30285616D+04 1.2987882 0.0004287 EM
10 -0.30276899D+04 0.8717837 0.0002879 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.45060330D+04 0.0000000 0.0000000 EM
2 -0.32999140D+04 1206.1190049 0.2676676 EM
3 -0.31476247D+04 152.2893089 0.0461495 EM
4 -0.30595603D+04 88.0643924 0.0279780 EM
5 -0.30321245D+04 27.4357876 0.0089672 EM
6 -0.30271142D+04 5.0103011 0.0016524 EM
7 -0.30261720D+04 0.9421684 0.0003112 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.46797016D+04 0.0000000 0.0000000 EM
2 -0.32774726D+04 1402.2290067 0.2996407 EM
3 -0.31547707D+04 122.7019510 0.0374380 EM
4 -0.30691226D+04 85.6481293 0.0271488 EM
5 -0.30379438D+04 31.1787457 0.0101588 EM
6 -0.30304606D+04 7.4832020 0.0024632 EM
7 -0.30281716D+04 2.2889796 0.0007553 EM
8 -0.30272272D+04 0.9443985 0.0003119 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.58176117D+04 0.0000000 0.0000000 EM
2 -0.33239266D+04 2493.6851631 0.4286441 EM
3 -0.32168063D+04 107.1202131 0.0322270 EM
4 -0.31148757D+04 101.9306887 0.0316869 EM
5 -0.30597960D+04 55.0796466 0.0176828 EM
6 -0.30408802D+04 18.9158417 0.0061821 EM
7 -0.30336364D+04 7.2437601 0.0023821 EM
8 -0.30304499D+04 3.1864819 0.0010504 EM
9 -0.30287982D+04 1.6517461 0.0005450 EM
10 -0.30278081D+04 0.9900386 0.0003269 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.78202309D+04 0.0000000 0.0000000 EM
2 -0.31264075D+04 4693.8233553 0.6002154 EM
3 -0.30641533D+04 62.2541692 0.0199124 EM
4 -0.30402984D+04 23.8549589 0.0077852 EM
5 -0.30316717D+04 8.6266746 0.0028374 EM
6 -0.30288768D+04 2.7948764 0.0009219 EM
7 -0.30277201D+04 1.1567126 0.0003819 EM
8 -0.30270745D+04 0.6456152 0.0002132 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.80764351D+04 0.0000000 0.0000000 EM
2 -0.31387105D+04 4937.7246095 0.6113743 EM
3 -0.30727879D+04 65.9225560 0.0210031 EM
4 -0.30509238D+04 21.8641363 0.0071154 EM
5 -0.30413917D+04 9.5321061 0.0031243 EM
6 -0.30361051D+04 5.2865596 0.0017382 EM
7 -0.30327534D+04 3.3516726 0.0011039 EM
8 -0.30305186D+04 2.2348437 0.0007369 EM
9 -0.30290059D+04 1.5126940 0.0004992 EM
10 -0.30279782D+04 1.0276955 0.0003393 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.60782698D+04 0.0000000 0.0000000 EM
2 -0.33417161D+04 2736.5536490 0.4502192 EM
3 -0.33063848D+04 35.3313527 0.0105728 EM
4 -0.32881430D+04 18.2417235 0.0055171 EM
5 -0.32491588D+04 38.9841975 0.0118560 EM
6 -0.31614465D+04 87.7123029 0.0269954 EM
7 -0.30820079D+04 79.4386451 0.0251273 EM
8 -0.30552556D+04 26.7522858 0.0086801 EM
9 -0.30452938D+04 9.9617674 0.0032605 EM
10 -0.30392243D+04 6.0695058 0.0019931 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.74210546D+04 0.0000000 0.0000000 EM
2 -0.30915356D+04 4329.5190255 0.5834102 EM
3 -0.30409744D+04 50.5612362 0.0163547 EM
4 -0.30290889D+04 11.8854108 0.0039084 EM
5 -0.30264841D+04 2.6048170 0.0008599 EM
6 -0.30259404D+04 0.5437332 0.0001797 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.66511981D+04 0.0000000 0.0000000 EM
2 -0.32592648D+04 3391.9333485 0.5099733 EM
3 -0.30926604D+04 166.6043720 0.0511172 EM
4 -0.30659960D+04 26.6644405 0.0086218 EM
5 -0.30507944D+04 15.2015309 0.0049581 EM
6 -0.30418513D+04 8.9430939 0.0029314 EM
7 -0.30365232D+04 5.3281580 0.0017516 EM
8 -0.30331159D+04 3.4072410 0.0011221 EM
9 -0.30308275D+04 2.2884219 0.0007545 EM
10 -0.30292609D+04 1.5666629 0.0005169 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.61156093D+04 0.0000000 0.0000000 EM
2 -0.33302243D+04 2785.3849845 0.4554550 EM
3 -0.32418327D+04 88.3916235 0.0265422 EM
4 -0.31342525D+04 107.5802078 0.0331850 EM
5 -0.30594729D+04 74.7796017 0.0238588 EM
6 -0.30367109D+04 22.7619638 0.0074398 EM
7 -0.30305162D+04 6.1947027 0.0020399 EM
8 -0.30283240D+04 2.1922121 0.0007234 EM
9 -0.30273502D+04 0.9737891 0.0003216 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.60904849D+04 0.0000000 0.0000000 EM
2 -0.32884311D+04 2802.0538032 0.4600707 EM
3 -0.31813309D+04 107.1002059 0.0325688 EM
4 -0.30792616D+04 102.0692554 0.0320838 EM
5 -0.30372800D+04 41.9816373 0.0136337 EM
6 -0.30288693D+04 8.4106715 0.0027691 EM
7 -0.30271260D+04 1.7433024 0.0005756 EM
8 -0.30265588D+04 0.5672203 0.0001874 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.98891091D+04 0.0000000 0.0000000 EM
2 -0.31828730D+04 6706.2360743 0.6781436 EM
3 -0.30890638D+04 93.8092089 0.0294731 EM
4 -0.30549235D+04 34.1403332 0.0110520 EM
5 -0.30421308D+04 12.7927012 0.0041876 EM
6 -0.30360177D+04 6.1131136 0.0020095 EM
7 -0.30325122D+04 3.5054669 0.0011546 EM
8 -0.30303007D+04 2.2115015 0.0007293 EM
9 -0.30288424D+04 1.4582793 0.0004812 EM
10 -0.30278628D+04 0.9795984 0.0003234 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.74332805D+04 0.0000000 0.0000000 EM
2 -0.33773451D+04 4055.9354732 0.5456454 EM
3 -0.32785284D+04 98.8166476 0.0292587 EM
4 -0.32001063D+04 78.4220706 0.0239199 EM
5 -0.31110504D+04 89.0559666 0.0278291 EM
6 -0.30641232D+04 46.9271351 0.0150840 EM
7 -0.30480488D+04 16.0744657 0.0052460 EM
8 -0.30406689D+04 7.3798593 0.0024212 EM
9 -0.30360320D+04 4.6369383 0.0015250 EM
10 -0.30328660D+04 3.1659653 0.0010428 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.81722054D+04 0.0000000 0.0000000 EM
2 -0.31517418D+04 5020.4635387 0.6143340 EM
3 -0.30845538D+04 67.1880036 0.0213177 EM
4 -0.30584821D+04 26.0717725 0.0084524 EM
5 -0.30455690D+04 12.9130967 0.0042221 EM
6 -0.30386290D+04 6.9399688 0.0022787 EM
7 -0.30344609D+04 4.1680866 0.0013717 EM
8 -0.30317333D+04 2.7276140 0.0008989 EM
9 -0.30298812D+04 1.8520499 0.0006109 EM
10 -0.30286091D+04 1.2721239 0.0004199 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.86503308D+04 0.0000000 0.0000000 EM
2 -0.32658737D+04 5384.4571453 0.6224568 EM
3 -0.31813003D+04 84.5733837 0.0258961 EM
4 -0.30896556D+04 91.6446589 0.0288073 EM
5 -0.30396964D+04 49.9592008 0.0161698 EM
6 -0.30279520D+04 11.7444669 0.0038637 EM
7 -0.30261412D+04 1.8107240 0.0005980 EM
8 -0.30258660D+04 0.2752769 0.0000910 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.11248742D+05 0.0000000 0.0000000 EM
2 -0.32053221D+04 8043.4202100 0.7150506 EM
3 -0.31047298D+04 100.5922842 0.0313829 EM
4 -0.30562162D+04 48.5136372 0.0156257 EM
5 -0.30391735D+04 17.0427388 0.0055764 EM
6 -0.30333858D+04 5.7876594 0.0019044 EM
7 -0.30306821D+04 2.7036591 0.0008913 EM
8 -0.30290668D+04 1.6153743 0.0005330 EM
9 -0.30280099D+04 1.0568309 0.0003489 EM
10 -0.30272993D+04 0.7106534 0.0002347 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.66547478D+04 0.0000000 0.0000000 EM
2 -0.32971661D+04 3357.5816765 0.5045393 EM
3 -0.31907140D+04 106.4520955 0.0322859 EM
4 -0.31013588D+04 89.3551665 0.0280048 EM
5 -0.30628271D+04 38.5317179 0.0124241 EM
6 -0.30486588D+04 14.1682684 0.0046259 EM
7 -0.30410390D+04 7.6198507 0.0024994 EM
8 -0.30361353D+04 4.9036392 0.0016125 EM
9 -0.30328328D+04 3.3025362 0.0010877 EM
10 -0.30305854D+04 2.2474316 0.0007410 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.74413017D+04 0.0000000 0.0000000 EM
2 -0.33392398D+04 4102.0618836 0.5512560 EM
3 -0.32997648D+04 39.4750057 0.0118216 EM
4 -0.32619516D+04 37.8132261 0.0114594 EM
5 -0.31811741D+04 80.7774794 0.0247635 EM
6 -0.30853837D+04 95.7903368 0.0301116 EM
7 -0.30456186D+04 39.7651132 0.0128882 EM
8 -0.30359056D+04 9.7130553 0.0031892 EM
9 -0.30321417D+04 3.7638339 0.0012398 EM
10 -0.30300150D+04 2.1267592 0.0007014 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.68984685D+04 0.0000000 0.0000000 EM
2 -0.34600718D+04 3438.3966478 0.4984290 EM
3 -0.31430940D+04 316.9777877 0.0916102 EM
4 -0.30596083D+04 83.4857801 0.0265617 EM
5 -0.30360391D+04 23.5691315 0.0077033 EM
6 -0.30294093D+04 6.6298178 0.0021837 EM
7 -0.30272620D+04 2.1473526 0.0007088 EM
8 -0.30264795D+04 0.7824989 0.0002585 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.86503308D+04 0.0000000 0.0000000 EM
2 -0.32658737D+04 5384.4571453 0.6224568 EM
3 -0.31813003D+04 84.5733837 0.0258961 EM
4 -0.30896556D+04 91.6446589 0.0288073 EM
5 -0.30396964D+04 49.9592008 0.0161698 EM
6 -0.30279520D+04 11.7444669 0.0038637 EM
7 -0.30261412D+04 1.8107240 0.0005980 EM
8 -0.30258660D+04 0.2752769 0.0000910 EM
9 -0.30258151D+04 0.0508268 0.0000168 EM
10 -0.30258027D+04 0.0124586 0.0000041 EM
11 -0.30257982D+04 0.0044341 0.0000015 EM
12 -0.30257960D+04 0.0022270 0.0000007 EM
13 -0.30257947D+04 0.0013567 0.0000004 EM
14 -0.30257938D+04 0.0008920 0.0000003 EM
15 -0.30257932D+04 0.0006019 0.0000002 EM
16 -0.30257928D+04 0.0004096 0.0000001 EM
17 -0.30257925D+04 0.0002795 0.0000001 EM
18 -0.30257923D+04 0.0001909 0.0000001 EM
19 -0.30257922D+04 0.0001304 0.0000000 EM
20 -0.30257921D+04 0.0000891 0.0000000 EM
21 -0.30257920D+04 0.0000609 0.0000000 EM
22 -0.30257920D+04 0.0000416 0.0000000 EM
23 -0.30257919D+04 0.0000284 0.0000000 EM
24 -0.30257919D+04 0.0000194 0.0000000 EM
25 -0.30257919D+04 0.0000133 0.0000000 EM
26 -0.30257919D+04 0.0000091 0.0000000 EM
27 -0.30257919D+04 0.0000062 0.0000000 EM
28 -0.30257919D+04 0.0000042 0.0000000 EM
29 -0.30257919D+04 0.0000029 0.0000000 EM
30 -0.30257919D+04 0.0000020 0.0000000 EM
31 -0.30257919D+04 0.0000014 0.0000000 EM
32 -0.30257919D+04 0.0000009 0.0000000 EM
33 -0.30257919D+04 0.0000006 0.0000000 EM
34 -0.30257919D+04 0.0000004 0.0000000 EM
35 -0.30257919D+04 0.0000003 0.0000000 EM
36 -0.30257919D+04 0.0000002 0.0000000 EM
37 -0.30257919D+04 0.0000001 0.0000000 EM
38 -0.30257919D+04 0.0000001 0.0000000 EM
39 -0.30257919D+04 0.0000001 0.0000000 EM
40 -0.30257919D+04 0.0000000 0.0000000 EM
41 -0.30257919D+04 0.0000001 0.0000000 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.74210546D+04 0.0000000 0.0000000 EM
2 -0.30915356D+04 4329.5190255 0.5834102 EM
3 -0.30409744D+04 50.5612362 0.0163547 EM
4 -0.30290889D+04 11.8854108 0.0039084 EM
5 -0.30264841D+04 2.6048170 0.0008599 EM
6 -0.30259404D+04 0.5437332 0.0001797 EM
7 -0.30258256D+04 0.1147795 0.0000379 EM
8 -0.30258004D+04 0.0252087 0.0000083 EM
9 -0.30257945D+04 0.0059026 0.0000020 EM
10 -0.30257929D+04 0.0015539 0.0000005 EM
11 -0.30257924D+04 0.0005056 0.0000002 EM
12 -0.30257922D+04 0.0002184 0.0000001 EM
13 -0.30257921D+04 0.0001198 0.0000000 EM
14 -0.30257920D+04 0.0000750 0.0000000 EM
15 -0.30257920D+04 0.0000497 0.0000000 EM
16 -0.30257919D+04 0.0000336 0.0000000 EM
17 -0.30257919D+04 0.0000228 0.0000000 EM
18 -0.30257919D+04 0.0000156 0.0000000 EM
19 -0.30257919D+04 0.0000107 0.0000000 EM
20 -0.30257919D+04 0.0000073 0.0000000 EM
21 -0.30257919D+04 0.0000050 0.0000000 EM
22 -0.30257919D+04 0.0000034 0.0000000 EM
23 -0.30257919D+04 0.0000023 0.0000000 EM
24 -0.30257919D+04 0.0000016 0.0000000 EM
25 -0.30257919D+04 0.0000011 0.0000000 EM
26 -0.30257919D+04 0.0000007 0.0000000 EM
27 -0.30257919D+04 0.0000005 0.0000000 EM
28 -0.30257919D+04 0.0000003 0.0000000 EM
29 -0.30257919D+04 0.0000002 0.0000000 EM
30 -0.30257919D+04 0.0000002 0.0000000 EM
31 -0.30257919D+04 0.0000001 0.0000000 EM
32 -0.30257919D+04 0.0000001 0.0000000 EM
33 -0.30257919D+04 0.0000001 0.0000000 EM
34 -0.30257919D+04 0.0000000 0.0000000 EM
35 -0.30257919D+04 0.0000000 0.0000000 EM
36 -0.30257919D+04 0.0000000 0.0000000 EM
37 -0.30257919D+04 0.0000000 0.0000000 EM
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.31912756D+04 0.0000000 0.0000000 EM
2 -0.30504635D+04 140.8120762 0.0441241 EM
3 -0.30298339D+04 20.6296060 0.0067628 EM
4 -0.30265551D+04 3.2788246 0.0010822 EM
5 -0.30259605D+04 0.5945546 0.0001964 EM
6 -0.30258357D+04 0.1248296 0.0000413 EM
7 -0.30258061D+04 0.0295708 0.0000098 EM
8 -0.30257980D+04 0.0081018 0.0000027 EM
9 -0.30257952D+04 0.0027857 0.0000009 EM
10 -0.30257940D+04 0.0012640 0.0000004 EM
11 -0.30257933D+04 0.0007130 0.0000002 EM
12 -0.30257928D+04 0.0004513 0.0000001 EM
13 -0.30257925D+04 0.0002998 0.0000001 EM
14 -0.30257923D+04 0.0002028 0.0000001 EM
15 -0.30257922D+04 0.0001381 0.0000000 EM
16 -0.30257921D+04 0.0000943 0.0000000 EM
17 -0.30257920D+04 0.0000644 0.0000000 EM
18 -0.30257920D+04 0.0000440 0.0000000 EM
19 -0.30257919D+04 0.0000301 0.0000000 EM
20 -0.30257919D+04 0.0000205 0.0000000 EM
21 -0.30257919D+04 0.0000140 0.0000000 EM
22 -0.30257919D+04 0.0000096 0.0000000 EM
23 -0.30257919D+04 0.0000066 0.0000000 EM
24 -0.30257919D+04 0.0000045 0.0000000 EM
25 -0.30257919D+04 0.0000031 0.0000000 EM
26 -0.30257919D+04 0.0000021 0.0000000 EM
27 -0.30257919D+04 0.0000014 0.0000000 EM
28 -0.30257919D+04 0.0000010 0.0000000 EM
29 -0.30257919D+04 0.0000007 0.0000000 EM
30 -0.30257919D+04 0.0000005 0.0000000 EM
31 -0.30257919D+04 0.0000003 0.0000000 EM
32 -0.30257919D+04 0.0000002 0.0000000 EM
33 -0.30257919D+04 0.0000001 0.0000000 EM
34 -0.30257919D+04 0.0000001 0.0000000 EM
35 -0.30257919D+04 0.0000001 0.0000000 EM
36 -0.30257919D+04 0.0000000 0.0000000 EM
37 -0.30257919D+04 0.0000000 0.0000000 EM
38 -0.30257919D+04 0.0000000 0.0000000 EM
39 -0.30257919D+04 0.0000000 0.0000000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.45060330D+04 0.0000000 0.0000000 EM
2 -0.32999140D+04 1206.1190049 0.2676676 EM
3 -0.31476247D+04 152.2893089 0.0461495 EM
4 -0.30595603D+04 88.0643924 0.0279780 EM
5 -0.30321245D+04 27.4357876 0.0089672 EM
6 -0.30271142D+04 5.0103011 0.0016524 EM
7 -0.30261720D+04 0.9421684 0.0003112 EM
8 -0.30259459D+04 0.2261266 0.0000747 EM
9 -0.30258734D+04 0.0724605 0.0000239 EM
10 -0.30258421D+04 0.0313609 0.0000104 EM
11 -0.30258249D+04 0.0171973 0.0000057 EM
12 -0.30258141D+04 0.0107492 0.0000036 EM
13 -0.30258070D+04 0.0071093 0.0000023 EM
14 -0.30258022D+04 0.0048043 0.0000016 EM
15 -0.30257989D+04 0.0032718 0.0000011 EM
16 -0.30257967D+04 0.0022342 0.0000007 EM
17 -0.30257952D+04 0.0015270 0.0000005 EM
18 -0.30257941D+04 0.0010439 0.0000003 EM
19 -0.30257934D+04 0.0007137 0.0000002 EM
20 -0.30257929D+04 0.0004879 0.0000002 EM
21 -0.30257926D+04 0.0003335 0.0000001 EM
22 -0.30257924D+04 0.0002280 0.0000001 EM
23 -0.30257922D+04 0.0001559 0.0000001 EM
24 -0.30257921D+04 0.0001065 0.0000000 EM
25 -0.30257920D+04 0.0000728 0.0000000 EM
26 -0.30257920D+04 0.0000498 0.0000000 EM
27 -0.30257919D+04 0.0000340 0.0000000 EM
28 -0.30257919D+04 0.0000233 0.0000000 EM
29 -0.30257919D+04 0.0000159 0.0000000 EM
30 -0.30257919D+04 0.0000109 0.0000000 EM
31 -0.30257919D+04 0.0000074 0.0000000 EM
32 -0.30257919D+04 0.0000051 0.0000000 EM
33 -0.30257919D+04 0.0000035 0.0000000 EM
34 -0.30257919D+04 0.0000024 0.0000000 EM
35 -0.30257919D+04 0.0000016 0.0000000 EM
36 -0.30257919D+04 0.0000011 0.0000000 EM
37 -0.30257919D+04 0.0000008 0.0000000 EM
38 -0.30257919D+04 0.0000005 0.0000000 EM
39 -0.30257919D+04 0.0000004 0.0000000 EM
40 -0.30257919D+04 0.0000002 0.0000000 EM
41 -0.30257919D+04 0.0000005 0.0000000 FS
42 -0.30257919D+04 0.0000001 0.0000000 FS
Beginning Time: 23:14:25
Ending Time: 23:14:26
Elapsed Time: 00:00:01
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