Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:14 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a GMM for a
continuous outcome using user-specified
starting values and random starts
DATA: FILE IS ex8.2.dat;
VARIABLE: NAMES ARE y1-y4 x c;
USEV = y1-y4 x;
CLASSES = c (2);
ANALYSIS: TYPE = MIXTURE;
MODEL:
%OVERALL%
i s | y1@0 y2@1 y3@2 y4@3;
i s ON x;
c ON x;
%c#1%
[i*1 s*.5];
%c#2%
[i*3 s*1];
OUTPUT: TECH1 TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of a GMM for a
continuous outcome using user-specified
starting values and random starts
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
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
Continuous
Y1 Y2 Y3 Y4
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-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
Input data file(s)
ex8.2.dat
Input data format FREE
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
Y1 1.913 0.088 -3.793 0.20% 0.469 1.415 1.873
500.000 2.436 -0.083 6.354 0.20% 2.273 3.215
Y2 2.708 -0.003 -2.971 0.20% 1.134 2.197 2.651
500.000 3.465 -0.352 8.355 0.20% 3.216 4.416
Y3 3.342 -0.076 -3.471 0.20% 1.357 2.753 3.429
500.000 5.420 -0.006 12.491 0.20% 3.966 5.409
Y4 4.080 -0.088 -4.171 0.20% 1.350 3.439 4.269
500.000 8.401 -0.209 13.779 0.20% 5.030 6.501
X -0.060 -0.010 -3.054 0.20% -0.917 -0.326 -0.053
500.000 0.982 -0.281 2.546 0.20% 0.210 0.782
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:
-3337.654 650371 14
-3337.654 107446 12
-3337.654 903420 5
-3337.654 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 -3337.654
H0 Scaling Correction Factor 1.0449
for MLR
Information Criteria
Akaike (AIC) 6705.307
Bayesian (BIC) 6768.526
Sample-Size Adjusted BIC 6720.915
(n* = (n + 2) / 24)
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL
Latent
Classes
1 242.09131 0.48418
2 257.90869 0.51582
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 242.09131 0.48418
2 257.90869 0.51582
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 236 0.47200
2 264 0.52800
CLASSIFICATION QUALITY
Entropy 0.557
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.872 0.128
2 0.137 0.863
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.850 0.150
2 0.117 0.883
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 1.735 0.000
2 -2.020 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Latent Class 1
I |
Y1 1.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 1.000 0.000 999.000 999.000
Y4 1.000 0.000 999.000 999.000
S |
Y1 0.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 2.000 0.000 999.000 999.000
Y4 3.000 0.000 999.000 999.000
I ON
X 0.354 0.148 2.390 0.017
S ON
X 0.339 0.055 6.161 0.000
S WITH
I -0.054 0.069 -0.786 0.432
Intercepts
Y1 0.000 0.000 999.000 999.000
Y2 0.000 0.000 999.000 999.000
Y3 0.000 0.000 999.000 999.000
Y4 0.000 0.000 999.000 999.000
I 0.916 0.107 8.525 0.000
S 0.456 0.117 3.911 0.000
Residual Variances
Y1 0.604 0.073 8.279 0.000
Y2 0.557 0.046 12.136 0.000
Y3 0.446 0.052 8.499 0.000
Y4 0.560 0.099 5.630 0.000
I 0.978 0.199 4.908 0.000
S 0.428 0.049 8.688 0.000
Latent Class 2
I |
Y1 1.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 1.000 0.000 999.000 999.000
Y4 1.000 0.000 999.000 999.000
S |
Y1 0.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 2.000 0.000 999.000 999.000
Y4 3.000 0.000 999.000 999.000
I ON
X 0.354 0.148 2.390 0.017
S ON
X 0.339 0.055 6.161 0.000
S WITH
I -0.054 0.069 -0.786 0.432
Intercepts
Y1 0.000 0.000 999.000 999.000
Y2 0.000 0.000 999.000 999.000
Y3 0.000 0.000 999.000 999.000
Y4 0.000 0.000 999.000 999.000
I 2.945 0.206 14.264 0.000
S 0.992 0.062 16.068 0.000
Residual Variances
Y1 0.604 0.073 8.279 0.000
Y2 0.557 0.046 12.136 0.000
Y3 0.446 0.052 8.499 0.000
Y4 0.560 0.099 5.630 0.000
I 0.978 0.199 4.908 0.000
S 0.428 0.049 8.688 0.000
Categorical Latent Variables
C#1 ON
X 0.749 0.388 1.932 0.053
Intercepts
C#1 -0.027 0.295 -0.090 0.928
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.947E-02
(ratio of smallest to largest eigenvalue)
LOGISTIC REGRESSION ODDS RATIO RESULTS
95% C.I.
Estimate S.E. Lower 2.5% Upper 2.5%
Categorical Latent Variables
C#1 ON
X 2.116 0.821 0.989 4.526
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 -0.749 0.388 -1.932 0.053
Intercepts
C#2 0.027 0.295 0.090 0.928
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 0.473 0.183 0.221 1.011
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR LATENT CLASS 1
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
I S X
________ ________ ________
Y1 0 0 0
Y2 0 0 0
Y3 0 0 0
Y4 0 0 0
X 0 0 0
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 1
Y2 0 2
Y3 0 0 3
Y4 0 0 0 4
X 0 0 0 0 0
ALPHA
I S X
________ ________ ________
5 6 0
BETA
I S X
________ ________ ________
I 0 0 7
S 0 0 8
X 0 0 0
PSI
I S X
________ ________ ________
I 9
S 10 11
X 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS 2
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
I S X
________ ________ ________
Y1 0 0 0
Y2 0 0 0
Y3 0 0 0
Y4 0 0 0
X 0 0 0
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 1
Y2 0 2
Y3 0 0 3
Y4 0 0 0 4
X 0 0 0 0 0
ALPHA
I S X
________ ________ ________
12 13 0
BETA
I S X
________ ________ ________
I 0 0 7
S 0 0 8
X 0 0 0
PSI
I S X
________ ________ ________
I 9
S 10 11
X 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
14 0
GAMMA(C)
X
________
C#1 15
C#2 0
STARTING VALUES FOR LATENT CLASS 1
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
I S X
________ ________ ________
Y1 1.000 0.000 0.000
Y2 1.000 1.000 0.000
Y3 1.000 2.000 0.000
Y4 1.000 3.000 0.000
X 0.000 0.000 1.000
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 1.218
Y2 0.000 1.732
Y3 0.000 0.000 2.710
Y4 0.000 0.000 0.000 4.200
X 0.000 0.000 0.000 0.000 0.000
ALPHA
I S X
________ ________ ________
1.000 0.500 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 2.299
S 0.000 0.667
X 0.000 0.000 0.491
STARTING VALUES FOR LATENT CLASS 2
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
I S X
________ ________ ________
Y1 1.000 0.000 0.000
Y2 1.000 1.000 0.000
Y3 1.000 2.000 0.000
Y4 1.000 3.000 0.000
X 0.000 0.000 1.000
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 1.218
Y2 0.000 1.732
Y3 0.000 0.000 2.710
Y4 0.000 0.000 0.000 4.200
X 0.000 0.000 0.000 0.000 0.000
ALPHA
I S X
________ ________ ________
3.000 1.000 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 2.299
S 0.000 0.667
X 0.000 0.000 0.491
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
TECHNICAL 8 OUTPUT
INITIAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.38106756D+04 0.0000000 0.0000000 EM
2 -0.33456722D+04 465.0033262 0.1220265 EM
3 -0.33455490D+04 0.1232729 0.0000368 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.80410917D+04 0.0000000 0.0000000 EM
2 -0.33523408D+04 4688.7508451 0.5830988 EM
3 -0.33488369D+04 3.5038747 0.0010452 EM
4 -0.33480755D+04 0.7614775 0.0002274 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.12324697D+05 0.0000000 0.0000000 EM
2 -0.33475144D+04 8977.1829339 0.7283897 EM
3 -0.33465901D+04 0.9243050 0.0002761 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.68582426D+04 0.0000000 0.0000000 EM
2 -0.33712627D+04 3486.9798818 0.5084364 EM
3 -0.33487910D+04 22.4717377 0.0066657 EM
4 -0.33475220D+04 1.2689150 0.0003789 EM
5 -0.33471223D+04 0.3997613 0.0001194 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.74849702D+04 0.0000000 0.0000000 EM
2 -0.33488454D+04 4136.1248324 0.5525907 EM
3 -0.33475107D+04 1.3347132 0.0003986 EM
4 -0.33472936D+04 0.2170213 0.0000648 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.70128377D+04 0.0000000 0.0000000 EM
2 -0.33606902D+04 3652.1475001 0.5207803 EM
3 -0.33460240D+04 14.6661682 0.0043640 EM
4 -0.33457453D+04 0.2786634 0.0000833 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.61757740D+04 0.0000000 0.0000000 EM
2 -0.33531991D+04 2822.5748584 0.4570399 EM
3 -0.33491283D+04 4.0708042 0.0012140 EM
4 -0.33479524D+04 1.1759094 0.0003511 EM
5 -0.33474396D+04 0.5127907 0.0001532 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.90157757D+04 0.0000000 0.0000000 EM
2 -0.33638938D+04 5651.8818941 0.6268880 EM
3 -0.33534114D+04 10.4823668 0.0031161 EM
4 -0.33503875D+04 3.0239683 0.0009018 EM
5 -0.33490496D+04 1.3378214 0.0003993 EM
6 -0.33483355D+04 0.7141534 0.0002132 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.60023334D+04 0.0000000 0.0000000 EM
2 -0.33596014D+04 2642.7320302 0.4402841 EM
3 -0.33506246D+04 8.9767186 0.0026720 EM
4 -0.33481314D+04 2.4932146 0.0007441 EM
5 -0.33470811D+04 1.0503265 0.0003137 EM
6 -0.33465621D+04 0.5189629 0.0001550 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.10321302D+05 0.0000000 0.0000000 EM
2 -0.33779439D+04 6943.3584714 0.6727212 EM
3 -0.33540139D+04 23.9299735 0.0070842 EM
4 -0.33515427D+04 2.4712063 0.0007368 EM
5 -0.33502175D+04 1.3251373 0.0003954 EM
6 -0.33493905D+04 0.8269966 0.0002468 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.55436907D+04 0.0000000 0.0000000 EM
2 -0.33506492D+04 2193.0414294 0.3955923 EM
3 -0.33476755D+04 2.9737137 0.0008875 EM
4 -0.33467366D+04 0.9389720 0.0002805 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.54384600D+04 0.0000000 0.0000000 EM
2 -0.33528492D+04 2085.6108232 0.3834929 EM
3 -0.33468247D+04 6.0244560 0.0017968 EM
4 -0.33465222D+04 0.3025449 0.0000904 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.57377598D+04 0.0000000 0.0000000 EM
2 -0.33472127D+04 2390.5470937 0.4166342 EM
3 -0.33436385D+04 3.5742602 0.0010678 EM
4 -0.33429389D+04 0.6995944 0.0002092 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.81419300D+04 0.0000000 0.0000000 EM
2 -0.33522090D+04 4789.7210228 0.5882783 EM
3 -0.33493346D+04 2.8744269 0.0008575 EM
4 -0.33479345D+04 1.4000814 0.0004180 EM
5 -0.33470298D+04 0.9046983 0.0002702 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.10290374D+05 0.0000000 0.0000000 EM
2 -0.33544582D+04 6935.9162352 0.6740198 EM
3 -0.33482310D+04 6.2271897 0.0018564 EM
4 -0.33464718D+04 1.7592175 0.0005254 EM
5 -0.33456549D+04 0.8168730 0.0002441 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.67128082D+04 0.0000000 0.0000000 EM
2 -0.33585235D+04 3354.2847186 0.4996843 EM
3 -0.33497589D+04 8.7645942 0.0026097 EM
4 -0.33474184D+04 2.3404554 0.0006987 EM
5 -0.33465567D+04 0.8617306 0.0002574 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.67263626D+04 0.0000000 0.0000000 EM
2 -0.33481441D+04 3378.2184647 0.5022356 EM
3 -0.33474934D+04 0.6506588 0.0001943 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.11942813D+05 0.0000000 0.0000000 EM
2 -0.33613695D+04 8581.4431385 0.7185446 EM
3 -0.33526292D+04 8.7402857 0.0026002 EM
4 -0.33500661D+04 2.5630873 0.0007645 EM
5 -0.33488405D+04 1.2255829 0.0003658 EM
6 -0.33481210D+04 0.7194643 0.0002148 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.11484625D+05 0.0000000 0.0000000 EM
2 -0.33571227D+04 8127.5026455 0.7076855 EM
3 -0.33486642D+04 8.4585162 0.0025196 EM
4 -0.33466521D+04 2.0120411 0.0006008 EM
5 -0.33460664D+04 0.5857136 0.0001750 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.13541550D+05 0.0000000 0.0000000 EM
2 -0.33673964D+04 ************ 0.7513286 EM
3 -0.33558159D+04 11.5804765 0.0034390 EM
4 -0.33523834D+04 3.4325637 0.0010229 EM
5 -0.33507600D+04 1.6233538 0.0004842 EM
6 -0.33498263D+04 0.9337429 0.0002787 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.98061623D+04 0.0000000 0.0000000 EM
2 -0.33562794D+04 6449.8828747 0.6577377 EM
3 -0.33502444D+04 6.0350377 0.0017981 EM
4 -0.33481250D+04 2.1193303 0.0006326 EM
5 -0.33471920D+04 0.9330660 0.0002787 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12
4 -0.33429389D+04 0.6995944 0.0002092 EM
5 -0.33424348D+04 0.5040098 0.0001508 EM
6 -0.33420191D+04 0.4157575 0.0001244 EM
7 -0.33416492D+04 0.3698547 0.0001107 EM
8 -0.33413072D+04 0.3420349 0.0001024 EM
9 -0.33409855D+04 0.3217216 0.0000963 EM
10 -0.33406816D+04 0.3039235 0.0000910 EM
11 -0.33403953D+04 0.2862668 0.0000857 EM
12 -0.33401275D+04 0.2677651 0.0000802 EM
13 -0.33398793D+04 0.2482374 0.0000743 EM
14 -0.33396513D+04 0.2279746 0.0000683 EM
15 -0.33394438D+04 0.2075124 0.0000621 EM
16 -0.33392563D+04 0.1874513 0.0000561 EM
17 -0.33390880D+04 0.1683425 0.0000504 EM
18 -0.33389374D+04 0.1505913 0.0000451 EM
19 -0.33388030D+04 0.1344410 0.0000403 EM
20 -0.33386830D+04 0.1199746 0.0000359 EM
21 -0.33385758D+04 0.1071529 0.0000321 EM
22 -0.33384800D+04 0.0958503 0.0000287 EM
23 -0.33383941D+04 0.0859053 0.0000257 EM
24 -0.33383170D+04 0.0771355 0.0000231 EM
25 -0.33382476D+04 0.0693754 0.0000208 EM
26 -0.33381851D+04 0.0624732 0.0000187 EM
27 -0.33381288D+04 0.0563004 0.0000169 EM
28 -0.33380781D+04 0.0507548 0.0000152 EM
29 -0.33380323D+04 0.0457512 0.0000137 EM
30 -0.33379911D+04 0.0412225 0.0000123 EM
31 -0.33379540D+04 0.0371126 0.0000111 EM
32 -0.33379206D+04 0.0333804 0.0000100 EM
33 -0.33378906D+04 0.0299860 0.0000090 EM
34 -0.33378637D+04 0.0268986 0.0000081 EM
35 -0.33378396D+04 0.0240945 0.0000072 EM
36 -0.33377039D+04 0.1356635 0.0000406 FS
37 -0.33376663D+04 0.0376311 0.0000113 FS
38 -0.33376571D+04 0.0092042 0.0000028 FS
39 -0.33376550D+04 0.0020792 0.0000006 FS
40 -0.33376546D+04 0.0004314 0.0000001 FS
41 -0.33376545D+04 0.0000534 0.0000000 FS
42 -0.33376541D+04 0.0004480 0.0000001 EM
43 -0.33376539D+04 0.0002121 0.0000001 EM
44 -0.33376538D+04 0.0001181 0.0000000 EM
45 -0.33376537D+04 0.0000661 0.0000000 EM
46 -0.33376537D+04 0.0000375 0.0000000 EM
47 -0.33376536D+04 0.0000217 0.0000000 EM
48 -0.33376536D+04 0.0000129 0.0000000 EM
49 -0.33376536D+04 0.0000079 0.0000000 EM
50 -0.33376536D+04 0.0000051 0.0000000 EM
51 -0.33376536D+04 0.0000034 0.0000000 EM
52 -0.33376536D+04 0.0000024 0.0000000 EM
53 -0.33376536D+04 0.0000018 0.0000000 EM
54 -0.33376536D+04 0.0000014 0.0000000 EM
55 -0.33376536D+04 0.0000011 0.0000000 EM
56 -0.33376536D+04 0.0000009 0.0000000 EM
57 -0.33376536D+04 0.0000008 0.0000000 EM
58 -0.33376536D+04 0.0000006 0.0000000 EM
59 -0.33376536D+04 0.0000005 0.0000000 EM
60 -0.33376536D+04 0.0000005 0.0000000 EM
61 -0.33376536D+04 0.0000004 0.0000000 EM
62 -0.33376536D+04 0.0000003 0.0000000 EM
63 -0.33376536D+04 0.0000003 0.0000000 EM
64 -0.33376536D+04 0.0000002 0.0000000 EM
65 -0.33376536D+04 0.0000002 0.0000000 EM
66 -0.33376536D+04 0.0000002 0.0000000 EM
67 -0.33376536D+04 0.0000002 0.0000000 EM
68 -0.33376536D+04 0.0000001 0.0000000 EM
69 -0.33376536D+04 0.0000001 0.0000000 EM
70 -0.33376536D+04 0.0000001 0.0000000 EM
71 -0.33376536D+04 0.0000001 0.0000000 EM
72 -0.33376536D+04 0.0000001 0.0000000 EM
73 -0.33376536D+04 0.0000001 0.0000000 EM
74 -0.33376536D+04 0.0000001 0.0000000 EM
75 -0.33376536D+04 0.0000000 0.0000000 EM
76 -0.33376536D+04 0.0000000 0.0000000 EM
77 -0.33376536D+04 0.0000002 0.0000000 QN
78 -0.33376536D+04 0.0000000 0.0000000 EM
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
3 -0.33455490D+04 0.1232729 0.0000368 EM
4 -0.33454108D+04 0.1381888 0.0000413 EM
5 -0.33452535D+04 0.1572729 0.0000470 EM
6 -0.33450746D+04 0.1789136 0.0000535 EM
7 -0.33448714D+04 0.2032312 0.0000608 EM
8 -0.33446411D+04 0.2302176 0.0000688 EM
9 -0.33443815D+04 0.2596626 0.0000776 EM
10 -0.33440904D+04 0.2910704 0.0000870 EM
11 -0.33437668D+04 0.3235702 0.0000968 EM
12 -0.33434110D+04 0.3558598 0.0001064 EM
13 -0.33430248D+04 0.3861959 0.0001155 EM
14 -0.33426123D+04 0.4124898 0.0001234 EM
15 -0.33421798D+04 0.4325147 0.0001294 EM
16 -0.33417355D+04 0.4442720 0.0001329 EM
17 -0.33412892D+04 0.4463347 0.0001336 EM
18 -0.33408510D+04 0.4381627 0.0001311 EM
19 -0.33404308D+04 0.4202055 0.0001258 EM
20 -0.33400370D+04 0.3937880 0.0001179 EM
21 -0.33396762D+04 0.3608288 0.0001080 EM
22 -0.33393526D+04 0.3235377 0.0000969 EM
23 -0.33390685D+04 0.2841542 0.0000851 EM
24 -0.33388237D+04 0.2447742 0.0000733 EM
25 -0.33386165D+04 0.2071863 0.0000621 EM
26 -0.33384438D+04 0.1727505 0.0000517 EM
27 -0.33383015D+04 0.1423170 0.0000426 EM
28 -0.33381852D+04 0.1162342 0.0000348 EM
29 -0.33380908D+04 0.0944316 0.0000283 EM
30 -0.33380143D+04 0.0765473 0.0000229 EM
31 -0.33379522D+04 0.0620706 0.0000186 EM
32 -0.33379017D+04 0.0504439 0.0000151 EM
33 -0.33378606D+04 0.0411396 0.0000123 EM
34 -0.33378269D+04 0.0336944 0.0000101 EM
35 -0.33376834D+04 0.1434594 0.0000430 FS
36 -0.33376593D+04 0.0241763 0.0000072 FS
37 -0.33376547D+04 0.0045569 0.0000014 FS
38 -0.33376538D+04 0.0008928 0.0000003 FS
39 -0.33376536D+04 0.0001775 0.0000001 FS
40 -0.33376536D+04 0.0000354 0.0000000 FS
41 -0.33376536D+04 0.0000070 0.0000000 FS
42 -0.33376536D+04 0.0000014 0.0000000 FS
43 -0.33376536D+04 0.0000002 0.0000000 FS
44 -0.33376536D+04 0.0000000 0.0000000 FS
45 -0.33376536D+04 0.0000004 0.0000000 EM
46 -0.33376536D+04 0.0000002 0.0000000 EM
47 -0.33376536D+04 0.0000001 0.0000000 EM
48 -0.33376536D+04 0.0000001 0.0000000 EM
49 -0.33376536D+04 0.0000000 0.0000000 EM
50 -0.33376536D+04 0.0000000 0.0000000 EM
51 -0.33376536D+04 0.0000000 0.0000000 EM
52 -0.33376536D+04 0.0000000 0.0000000 EM
53 -0.33376536D+04 0.0000000 0.0000000 EM
54 -0.33376536D+04 0.0000000 0.0000000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14
5 -0.33456549D+04 0.8168730 0.0002441 EM
6 -0.33451780D+04 0.4768610 0.0001425 EM
7 -0.33448516D+04 0.3264108 0.0000976 EM
8 -0.33445988D+04 0.2528496 0.0000756 EM
9 -0.33443830D+04 0.2157396 0.0000645 EM
10 -0.33441852D+04 0.1978300 0.0000592 EM
11 -0.33439944D+04 0.1907707 0.0000570 EM
12 -0.33438044D+04 0.1900838 0.0000568 EM
13 -0.33436112D+04 0.1931373 0.0000578 EM
14 -0.33434130D+04 0.1982610 0.0000593 EM
15 -0.33432086D+04 0.2043413 0.0000611 EM
16 -0.33429980D+04 0.2106194 0.0000630 EM
17 -0.33427814D+04 0.2165923 0.0000648 EM
18 -0.33425595D+04 0.2219490 0.0000664 EM
19 -0.33423329D+04 0.2265197 0.0000678 EM
20 -0.33421027D+04 0.2302243 0.0000689 EM
21 -0.33418697D+04 0.2330168 0.0000697 EM
22 -0.33416348D+04 0.2348535 0.0000703 EM
23 -0.33413992D+04 0.2356358 0.0000705 EM
24 -0.33411640D+04 0.2352374 0.0000704 EM
25 -0.33409305D+04 0.2334818 0.0000699 EM
26 -0.33407003D+04 0.2301932 0.0000689 EM
27 -0.33404751D+04 0.2252354 0.0000674 EM
28 -0.33402565D+04 0.2185581 0.0000654 EM
29 -0.33400463D+04 0.2102218 0.0000629 EM
30 -0.33398459D+04 0.2004161 0.0000600 EM
31 -0.33396564D+04 0.1894292 0.0000567 EM
32 -0.33394788D+04 0.1776250 0.0000532 EM
33 -0.33393134D+04 0.1653885 0.0000495 EM
34 -0.33391603D+04 0.1530868 0.0000458 EM
35 -0.33390193D+04 0.1410263 0.0000422 EM
36 -0.33388899D+04 0.1294557 0.0000388 EM
37 -0.33381172D+04 0.7726646 0.0002314 FS
38 -0.33377995D+04 0.3177407 0.0000952 FS
39 -0.33376917D+04 0.1077505 0.0000323 FS
40 -0.33376630D+04 0.0286539 0.0000086 FS
41 -0.33376561D+04 0.0069497 0.0000021 FS
42 -0.33376545D+04 0.0016212 0.0000005 FS
43 -0.33376541D+04 0.0003571 0.0000001 FS
44 -0.33376541D+04 0.0000604 0.0000000 FS
45 -0.33376538D+04 0.0002221 0.0000001 EM
46 -0.33376537D+04 0.0001035 0.0000000 EM
47 -0.33376537D+04 0.0000572 0.0000000 EM
48 -0.33376536D+04 0.0000318 0.0000000 EM
49 -0.33376536D+04 0.0000179 0.0000000 EM
50 -0.33376536D+04 0.0000102 0.0000000 EM
51 -0.33376536D+04 0.0000059 0.0000000 EM
52 -0.33376536D+04 0.0000036 0.0000000 EM
53 -0.33376536D+04 0.0000022 0.0000000 EM
54 -0.33376536D+04 0.0000015 0.0000000 EM
55 -0.33376536D+04 0.0000010 0.0000000 EM
56 -0.33376536D+04 0.0000007 0.0000000 EM
57 -0.33376536D+04 0.0000005 0.0000000 EM
58 -0.33376536D+04 0.0000004 0.0000000 EM
59 -0.33376536D+04 0.0000003 0.0000000 EM
60 -0.33376536D+04 0.0000003 0.0000000 EM
61 -0.33376536D+04 0.0000002 0.0000000 EM
62 -0.33376536D+04 0.0000002 0.0000000 EM
63 -0.33376536D+04 0.0000002 0.0000000 EM
64 -0.33376536D+04 0.0000001 0.0000000 EM
65 -0.33376536D+04 0.0000001 0.0000000 EM
66 -0.33376536D+04 0.0000001 0.0000000 EM
67 -0.33376536D+04 0.0000001 0.0000000 EM
68 -0.33376536D+04 0.0000001 0.0000000 EM
69 -0.33376536D+04 0.0000001 0.0000000 EM
70 -0.33376536D+04 0.0000001 0.0000000 EM
71 -0.33376536D+04 0.0000000 0.0000000 EM
72 -0.33376536D+04 0.0000000 0.0000000 EM
73 -0.33376536D+04 0.0000000 0.0000000 EM
74 -0.33376536D+04 0.0000000 0.0000000 EM
75 -0.33376536D+04 0.0000000 0.0000000 EM
76 -0.33376536D+04 0.0000000 0.0000000 EM
77 -0.33376536D+04 0.0000000 0.0000000 EM
78 -0.33376536D+04 0.0000000 0.0000000 EM
79 -0.33376536D+04 0.0000000 0.0000000 EM
80 -0.33376536D+04 0.0000000 0.0000000 EM
81 -0.33376536D+04 0.0000000 0.0000000 EM
82 -0.33376536D+04 0.0000001 0.0000000 QN
83 -0.33376536D+04 0.0000000 0.0000000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
4 -0.33457453D+04 0.2786634 0.0000833 EM
5 -0.33455543D+04 0.1910212 0.0000571 EM
6 -0.33454121D+04 0.1422187 0.0000425 EM
7 -0.33452980D+04 0.1140574 0.0000341 EM
8 -0.33452002D+04 0.0977964 0.0000292 EM
9 -0.33451114D+04 0.0888604 0.0000266 EM
10 -0.33450267D+04 0.0847074 0.0000253 EM
11 -0.33449428D+04 0.0838664 0.0000251 EM
12 -0.33448573D+04 0.0854636 0.0000256 EM
13 -0.33447684D+04 0.0889728 0.0000266 EM
14 -0.33446743D+04 0.0940735 0.0000281 EM
15 -0.33445737D+04 0.1005660 0.0000301 EM
16 -0.33444654D+04 0.1083137 0.0000324 EM
17 -0.33443482D+04 0.1172037 0.0000350 EM
18 -0.33442211D+04 0.1271154 0.0000380 EM
19 -0.33440832D+04 0.1378992 0.0000412 EM
20 -0.33439339D+04 0.1493414 0.0000447 EM
21 -0.33437727D+04 0.1611933 0.0000482 EM
22 -0.33435995D+04 0.1731502 0.0000518 EM
23 -0.33434146D+04 0.1848723 0.0000553 EM
24 -0.33432186D+04 0.1960260 0.0000586 EM
25 -0.33430123D+04 0.2063030 0.0000617 EM
26 -0.33427969D+04 0.2154647 0.0000645 EM
27 -0.33425735D+04 0.2233506 0.0000668 EM
28 -0.33423436D+04 0.2298746 0.0000688 EM
29 -0.33421086D+04 0.2350081 0.0000703 EM
30 -0.33418699D+04 0.2387515 0.0000714 EM
31 -0.33416288D+04 0.2410941 0.0000721 EM
32 -0.33413868D+04 0.2419947 0.0000724 EM
33 -0.33411454D+04 0.2413668 0.0000722 EM
34 -0.33409063D+04 0.2390940 0.0000716 EM
35 -0.33406713D+04 0.2350643 0.0000704 EM
36 -0.33390250D+04 1.6462689 0.0004928 FS
37 -0.33380493D+04 0.9757301 0.0002922 FS
38 -0.33378104D+04 0.2388389 0.0000716 FS
39 -0.33377415D+04 0.0689417 0.0000207 FS
40 -0.33377271D+04 0.0143951 0.0000043 FS
41 -0.33376934D+04 0.0336375 0.0000101 EM
42 -0.33376777D+04 0.0157924 0.0000047 EM
43 -0.33376687D+04 0.0089727 0.0000027 EM
44 -0.33376635D+04 0.0051878 0.0000016 EM
45 -0.33376604D+04 0.0030712 0.0000009 EM
46 -0.33376585D+04 0.0018780 0.0000006 EM
47 -0.33376573D+04 0.0011963 0.0000004 EM
48 -0.33376565D+04 0.0007993 0.0000002 EM
49 -0.33376560D+04 0.0005618 0.0000002 EM
50 -0.33376556D+04 0.0004145 0.0000001 EM
51 -0.33376552D+04 0.0003191 0.0000001 EM
52 -0.33376550D+04 0.0002541 0.0000001 EM
53 -0.33376548D+04 0.0002075 0.0000001 EM
54 -0.33376546D+04 0.0001726 0.0000001 EM
55 -0.33376545D+04 0.0001453 0.0000000 EM
56 -0.33376543D+04 0.0001234 0.0000000 EM
57 -0.33376542D+04 0.0001053 0.0000000 EM
58 -0.33376542D+04 0.0000903 0.0000000 EM
59 -0.33376541D+04 0.0000774 0.0000000 EM
60 -0.33376540D+04 0.0000665 0.0000000 EM
61 -0.33376540D+04 0.0000572 0.0000000 EM
62 -0.33376539D+04 0.0000492 0.0000000 EM
63 -0.33376539D+04 0.0000423 0.0000000 EM
64 -0.33376538D+04 0.0000364 0.0000000 EM
65 -0.33376538D+04 0.0000313 0.0000000 EM
66 -0.33376538D+04 0.0000270 0.0000000 EM
67 -0.33376537D+04 0.0000232 0.0000000 EM
68 -0.33376537D+04 0.0000200 0.0000000 EM
69 -0.33376537D+04 0.0000172 0.0000000 EM
70 -0.33376537D+04 0.0000148 0.0000000 EM
71 -0.33376537D+04 0.0000127 0.0000000 EM
72 -0.33376537D+04 0.0000110 0.0000000 EM
73 -0.33376537D+04 0.0000094 0.0000000 EM
74 -0.33376536D+04 0.0000081 0.0000000 EM
75 -0.33376536D+04 0.0000500 0.0000000 QN
76 -0.33376536D+04 0.0000000 0.0000000 EM
Beginning Time: 23:14:26
Ending Time: 23:14:28
Elapsed Time: 00:00:02
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