Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:12 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a LCA with binary latent class indicators
using automatic starting values with random starts
with a covariate and a direct effect
DATA: FILE IS ex7.12.dat;
VARIABLE: NAMES ARE u1-u4 x;
CLASSES = c (2);
CATEGORICAL = u1-u4;
ANALYSIS: TYPE = MIXTURE;
MODEL:
%OVERALL%
c ON x;
u4 ON x;
OUTPUT: TECH1 TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of a LCA with binary latent class indicators
using automatic starting values with random starts
with a covariate and a direct effect
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 0
Number of categorical latent variables 1
Observed dependent variables
Binary and ordered categorical (ordinal)
U1 U2 U3 U4
Observed independent variables
X
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
Link LOGIT
Input data file(s)
ex7.12.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U1
Category 1 0.490 245.000
Category 2 0.510 255.000
U2
Category 1 0.476 238.000
Category 2 0.524 262.000
U3
Category 1 0.514 257.000
Category 2 0.486 243.000
U4
Category 1 0.536 268.000
Category 2 0.464 232.000
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 -0.072 0.024 -3.054 0.20% -0.919 -0.400 -0.082
500.000 1.014 -0.176 3.571 0.20% 0.226 0.779
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:
-1255.396 253358 2
-1255.396 68985 17
-1255.396 650371 14
-1255.396 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 11
Loglikelihood
H0 Value -1255.396
H0 Scaling Correction Factor 0.9995
for MLR
Information Criteria
Akaike (AIC) 2532.793
Bayesian (BIC) 2579.153
Sample-Size Adjusted BIC 2544.239
(n* = (n + 2) / 24)
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL
Latent
Classes
1 250.72347 0.50145
2 249.27653 0.49855
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 250.72342 0.50145
2 249.27658 0.49855
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 252 0.50400
2 248 0.49600
CLASSIFICATION QUALITY
Entropy 0.586
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.878 0.122
2 0.118 0.882
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.883 0.117
2 0.123 0.877
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 2.019 0.000
2 -1.964 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Latent Class 1
U4 ON
X 0.579 0.128 4.510 0.000
Thresholds
U1$1 -1.452 0.291 -4.985 0.000
U2$1 -1.172 0.217 -5.389 0.000
U3$1 1.083 0.201 5.399 0.000
U4$1 0.958 0.202 4.752 0.000
Latent Class 2
U4 ON
X 0.579 0.128 4.510 0.000
Thresholds
U1$1 1.337 0.245 5.447 0.000
U2$1 0.929 0.197 4.705 0.000
U3$1 -0.946 0.205 -4.621 0.000
U4$1 -0.663 0.212 -3.129 0.002
Categorical Latent Variables
C#1 ON
X -1.025 0.151 -6.787 0.000
Intercepts
C#1 -0.067 0.239 -0.279 0.780
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.762E-01
(ratio of smallest to largest eigenvalue)
RESULTS IN PROBABILITY SCALE
Estimate
Latent Class 1
U1
Category 1 0.190
Category 2 0.810
U2
Category 1 0.237
Category 2 0.763
U3
Category 1 0.747
Category 2 0.253
U4
Category 1 0.765
Category 2 0.235
Latent Class 2
U1
Category 1 0.792
Category 2 0.208
U2
Category 1 0.717
Category 2 0.283
U3
Category 1 0.280
Category 2 0.720
U4
Category 1 0.306
Category 2 0.694
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 16.260 5.799 8.082 32.711
U2
Category > 1 8.169 2.323 4.678 14.264
U3
Category > 1 0.131 0.037 0.076 0.227
U4
Category > 1 0.198 0.062 0.107 0.367
LOGISTIC REGRESSION ODDS RATIO RESULTS
95% C.I.
Estimate S.E. Lower 2.5% Upper 2.5%
Latent Class 1
U4 ON
X 1.784 0.229 1.387 2.293
Latent Class 2
U4 ON
X 1.784 0.229 1.387 2.293
Categorical Latent Variables
C#1 ON
X 0.359 0.054 0.267 0.482
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 1.025 0.151 6.787 0.000
Intercepts
C#2 0.067 0.239 0.279 0.780
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 2.786 0.421 2.073 3.746
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
LAMBDA(U)
C#1 C#2
________ ________
U1 1 2
U2 3 4
U3 5 6
U4 7 8
KAPPA(U) FOR LATENT CLASS 1
X
________
U1 0
U2 0
U3 0
U4 9
KAPPA(U) FOR LATENT CLASS 2
X
________
U1 0
U2 0
U3 0
U4 9
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
10 0
GAMMA(C)
X
________
C#1 11
C#2 0
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 0.507
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 0.507
STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART
LAMBDA(U)
C#1 C#2
________ ________
U1 1.040 -0.960
U2 1.096 -0.904
U3 0.944 -1.056
U4 0.856 -1.144
KAPPA(U) FOR LATENT CLASS 1
X
________
U1 0.000
U2 0.000
U3 0.000
U4 0.000
KAPPA(U) FOR LATENT CLASS 2
X
________
U1 0.000
U2 0.000
U3 0.000
U4 0.000
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 -0.14760069D+04 0.0000000 0.0000000 EM
2 -0.13584965D+04 117.5104070 0.0796137 EM
3 -0.13484955D+04 10.0009940 0.0073618 EM
4 -0.13394010D+04 9.0945362 0.0067442 EM
5 -0.13219119D+04 17.4891169 0.0130574 EM
6 -0.12931851D+04 28.7268123 0.0217313 EM
7 -0.12680070D+04 25.1781079 0.0194698 EM
8 -0.12579493D+04 10.0576272 0.0079318 EM
9 -0.12558278D+04 2.1215692 0.0016865 EM
10 -0.12554827D+04 0.3450390 0.0002748 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.16899513D+04 0.0000000 0.0000000 EM
2 -0.14283207D+04 261.6306821 0.1548155 EM
3 -0.13099051D+04 118.4155787 0.0829055 EM
4 -0.12981255D+04 11.7796084 0.0089927 EM
5 -0.12869226D+04 11.2028539 0.0086300 EM
6 -0.12764270D+04 10.4955747 0.0081556 EM
7 -0.12680295D+04 8.3975741 0.0065790 EM
8 -0.12629478D+04 5.0816396 0.0040075 EM
9 -0.12603667D+04 2.5811377 0.0020437 EM
10 -0.12590084D+04 1.3582849 0.0010777 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.26778137D+04 0.0000000 0.0000000 EM
2 -0.12569082D+04 1420.9054722 0.5306215 EM
3 -0.12559636D+04 0.9446035 0.0007515 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.23839341D+04 0.0000000 0.0000000 EM
2 -0.13036741D+04 1080.2600515 0.4531417 EM
3 -0.12779619D+04 25.7121736 0.0197229 EM
4 -0.12666371D+04 11.3247706 0.0088616 EM
5 -0.12618547D+04 4.7823992 0.0037757 EM
6 -0.12594977D+04 2.3570784 0.0018679 EM
7 -0.12582376D+04 1.2600550 0.0010004 EM
8 -0.12575010D+04 0.7365797 0.0005854 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.21758986D+04 0.0000000 0.0000000 EM
2 -0.13347921D+04 841.1064246 0.3865559 EM
3 -0.13182726D+04 16.5195289 0.0123761 EM
4 -0.13044706D+04 13.8020386 0.0104698 EM
5 -0.12931925D+04 11.2780111 0.0086457 EM
6 -0.12834879D+04 9.7046436 0.0075044 EM
7 -0.12758981D+04 7.5898067 0.0059134 EM
8 -0.12708242D+04 5.0738526 0.0039767 EM
9 -0.12674814D+04 3.3428422 0.0026305 EM
10 -0.12650642D+04 2.4171560 0.0019071 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.18628104D+04 0.0000000 0.0000000 EM
2 -0.13611453D+04 501.6650407 0.2693055 EM
3 -0.13464859D+04 14.6594388 0.0107699 EM
4 -0.13428529D+04 3.6329436 0.0026981 EM
5 -0.13365124D+04 6.3405536 0.0047217 EM
6 -0.13249358D+04 11.5766268 0.0086618 EM
7 -0.13088976D+04 16.0381858 0.0121049 EM
8 -0.12936586D+04 15.2390112 0.0116426 EM
9 -0.12822552D+04 11.4033755 0.0088148 EM
10 -0.12746239D+04 7.6312561 0.0059514 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.28412652D+04 0.0000000 0.0000000 EM
2 -0.13641712D+04 1477.0939968 0.5198719 EM
3 -0.13544758D+04 9.6954486 0.0071072 EM
4 -0.13504224D+04 4.0533957 0.0029926 EM
5 -0.13484897D+04 1.9326962 0.0014312 EM
6 -0.13474170D+04 1.0726244 0.0007954 EM
7 -0.13465468D+04 0.8702485 0.0006459 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.20392539D+04 0.0000000 0.0000000 EM
2 -0.12666811D+04 772.5727652 0.3788507 EM
3 -0.12633214D+04 3.3597332 0.0026524 EM
4 -0.12620526D+04 1.2687541 0.0010043 EM
5 -0.12610149D+04 1.0377417 0.0008223 EM
6 -0.12600822D+04 0.9326435 0.0007396 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.20566136D+04 0.0000000 0.0000000 EM
2 -0.13336345D+04 722.9791578 0.3515386 EM
3 -0.13000355D+04 33.5989683 0.0251935 EM
4 -0.12831087D+04 16.9267563 0.0130202 EM
5 -0.12775181D+04 5.5905992 0.0043571 EM
6 -0.12752735D+04 2.2446654 0.0017571 EM
7 -0.12728072D+04 2.4662812 0.0019339 EM
8 -0.12696700D+04 3.1371490 0.0024647 EM
9 -0.12664248D+04 3.2452798 0.0025560 EM
10 -0.12636805D+04 2.7442945 0.0021670 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.23517241D+04 0.0000000 0.0000000 EM
2 -0.13211183D+04 1030.6058071 0.4382341 EM
3 -0.12968944D+04 24.2239147 0.0183359 EM
4 -0.12867424D+04 10.1520413 0.0078280 EM
5 -0.12834632D+04 3.2791875 0.0025484 EM
6 -0.12813700D+04 2.0931749 0.0016309 EM
7 -0.12790233D+04 2.3466686 0.0018314 EM
8 -0.12761987D+04 2.8246778 0.0022085 EM
9 -0.12731596D+04 3.0390341 0.0023813 EM
10 -0.12702967D+04 2.8629081 0.0022487 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.30390340D+04 0.0000000 0.0000000 EM
2 -0.13310512D+04 1707.9827973 0.5620150 EM
3 -0.12986706D+04 32.3805984 0.0243271 EM
4 -0.12804719D+04 18.1986824 0.0140133 EM
5 -0.12721274D+04 8.3445605 0.0065168 EM
6 -0.12672951D+04 4.8322711 0.0037986 EM
7 -0.12639552D+04 3.3398929 0.0026355 EM
8 -0.12617354D+04 2.2197603 0.0017562 EM
9 -0.12602514D+04 1.4840253 0.0011762 EM
10 -0.12591963D+04 1.0551393 0.0008372 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.17509453D+04 0.0000000 0.0000000 EM
2 -0.13716698D+04 379.2754322 0.2166118 EM
3 -0.13507144D+04 20.9554513 0.0152773 EM
4 -0.13419874D+04 8.7270330 0.0064610 EM
5 -0.13296339D+04 12.3534224 0.0092053 EM
6 -0.13077866D+04 21.8473471 0.0164311 EM
7 -0.12819234D+04 25.8632122 0.0197763 EM
8 -0.12654300D+04 16.4934121 0.0128661 EM
9 -0.12591789D+04 6.2510518 0.0049399 EM
10 -0.12572989D+04 1.8800445 0.0014931 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.16738751D+04 0.0000000 0.0000000 EM
2 -0.13425885D+04 331.2866479 0.1979160 EM
3 -0.13075028D+04 35.0856578 0.0261328 EM
4 -0.12811997D+04 26.3031249 0.0201171 EM
5 -0.12666856D+04 14.5141574 0.0113286 EM
6 -0.12602559D+04 6.4296418 0.0050760 EM
7 -0.12575511D+04 2.7048299 0.0021463 EM
8 -0.12564586D+04 1.0924665 0.0008687 EM
9 -0.12560074D+04 0.4512023 0.0003591 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.18876945D+04 0.0000000 0.0000000 EM
2 -0.12724349D+04 615.2595977 0.3259318 EM
3 -0.12635886D+04 8.8463356 0.0069523 EM
4 -0.12612027D+04 2.3858771 0.0018882 EM
5 -0.12599294D+04 1.2733668 0.0010096 EM
6 -0.12590663D+04 0.8630870 0.0006850 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.30554903D+04 0.0000000 0.0000000 EM
2 -0.13122103D+04 1743.2799872 0.5705402 EM
3 -0.12693338D+04 42.8765030 0.0326750 EM
4 -0.12586986D+04 10.6351886 0.0083786 EM
5 -0.12562176D+04 2.4810428 0.0019711 EM
6 -0.12556436D+04 0.5739792 0.0004569 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.19361400D+04 0.0000000 0.0000000 EM
2 -0.15997054D+04 336.4346287 0.1737656 EM
3 -0.12692153D+04 330.4901207 0.2065944 EM
4 -0.12625110D+04 6.7042815 0.0052822 EM
5 -0.12594567D+04 3.0542752 0.0024192 EM
6 -0.12577661D+04 1.6906678 0.0013424 EM
7 -0.12568677D+04 0.8983337 0.0007142 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.17899324D+04 0.0000000 0.0000000 EM
2 -0.13550714D+04 434.8610563 0.2429483 EM
3 -0.13398817D+04 15.1896621 0.0112095 EM
4 -0.13271978D+04 12.6839256 0.0094665 EM
5 -0.13120653D+04 15.1324811 0.0114018 EM
6 -0.12944161D+04 17.6491543 0.0134514 EM
7 -0.12774293D+04 16.9868689 0.0131232 EM
8 -0.12650537D+04 12.3755472 0.0096879 EM
9 -0.12587506D+04 6.3030837 0.0049825 EM
10 -0.12564893D+04 2.2613711 0.0017965 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.35687975D+04 0.0000000 0.0000000 EM
2 -0.13252714D+04 2243.5261533 0.6286504 EM
3 -0.13045443D+04 20.7271244 0.0156399 EM
4 -0.12912838D+04 13.2604794 0.0101648 EM
5 -0.12789552D+04 12.3286208 0.0095476 EM
6 -0.12678168D+04 11.1383804 0.0087090 EM
7 -0.12607277D+04 7.0890563 0.0055915 EM
8 -0.12574907D+04 3.2370536 0.0025676 EM
9 -0.12562843D+04 1.2064151 0.0009594 EM
10 -0.12558483D+04 0.4359420 0.0003470 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.30584163D+04 0.0000000 0.0000000 EM
2 -0.13224402D+04 1735.9761010 0.5676062 EM
3 -0.12958038D+04 26.6364048 0.0201419 EM
4 -0.12816570D+04 14.1467541 0.0109174 EM
5 -0.12769608D+04 4.6962310 0.0036642 EM
6 -0.12747030D+04 2.2578275 0.0017681 EM
7 -0.12727505D+04 1.9524744 0.0015317 EM
8 -0.12707887D+04 1.9617731 0.0015414 EM
9 -0.12688626D+04 1.9261152 0.0015157 EM
10 -0.12670676D+04 1.7950133 0.0014147 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.28308308D+04 0.0000000 0.0000000 EM
2 -0.13369627D+04 1493.8680723 0.5277137 EM
3 -0.12945307D+04 42.4320584 0.0317377 EM
4 -0.12807369D+04 13.7938346 0.0106555 EM
5 -0.12738260D+04 6.9108330 0.0053960 EM
6 -0.12681265D+04 5.6995382 0.0044743 EM
7 -0.12636940D+04 4.4324515 0.0034953 EM
8 -0.12607364D+04 2.9576362 0.0023405 EM
9 -0.12589519D+04 1.7845128 0.0014155 EM
10 -0.12579000D+04 1.0519022 0.0008355 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.19779413D+04 0.0000000 0.0000000 EM
2 -0.13488396D+04 629.1017485 0.3180589 EM
3 -0.13023983D+04 46.4412457 0.0344305 EM
4 -0.12808858D+04 21.5124856 0.0165176 EM
5 -0.12701371D+04 10.7487369 0.0083916 EM
6 -0.12640735D+04 6.0635517 0.0047739 EM
7 -0.12606391D+04 3.4344895 0.0027170 EM
8 -0.12587524D+04 1.8866391 0.0014966 EM
9 -0.12577070D+04 1.0454638 0.0008306 EM
10 -0.12570886D+04 0.6183810 0.0004917 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
10 -0.12554827D+04 0.3450390 0.0002748 EM
11 -0.12554182D+04 0.0645112 0.0000514 EM
12 -0.12554027D+04 0.0155500 0.0000124 EM
13 -0.12553983D+04 0.0043822 0.0000035 EM
14 -0.12553970D+04 0.0013353 0.0000011 EM
15 -0.12553965D+04 0.0004285 0.0000003 EM
16 -0.12553964D+04 0.0001440 0.0000001 EM
17 -0.12553963D+04 0.0000506 0.0000000 EM
18 -0.12553963D+04 0.0000185 0.0000000 EM
19 -0.12553963D+04 0.0000070 0.0000000 EM
20 -0.12553963D+04 0.0000027 0.0000000 EM
21 -0.12553963D+04 0.0000011 0.0000000 EM
22 -0.12553963D+04 0.0000004 0.0000000 EM
23 -0.12553963D+04 0.0000002 0.0000000 EM
24 -0.12553963D+04 0.0000001 0.0000000 EM
25 -0.12553963D+04 0.0000000 0.0000000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14
6 -0.12556436D+04 0.5739792 0.0004569 EM
7 -0.12554909D+04 0.1526752 0.0001216 EM
8 -0.12554430D+04 0.0479292 0.0000382 EM
9 -0.12554249D+04 0.0180342 0.0000144 EM
10 -0.12554165D+04 0.0084175 0.0000067 EM
11 -0.12554116D+04 0.0048690 0.0000039 EM
12 -0.12554083D+04 0.0032993 0.0000026 EM
13 -0.12554059D+04 0.0024478 0.0000019 EM
14 -0.12554040D+04 0.0018994 0.0000015 EM
15 -0.12554025D+04 0.0015051 0.0000012 EM
16 -0.12554013D+04 0.0012042 0.0000010 EM
17 -0.12554003D+04 0.0009677 0.0000008 EM
18 -0.12553995D+04 0.0007793 0.0000006 EM
19 -0.12553989D+04 0.0006282 0.0000005 EM
20 -0.12553984D+04 0.0005066 0.0000004 EM
21 -0.12553980D+04 0.0004086 0.0000003 EM
22 -0.12553977D+04 0.0003295 0.0000003 EM
23 -0.12553974D+04 0.0002658 0.0000002 EM
24 -0.12553972D+04 0.0002143 0.0000002 EM
25 -0.12553970D+04 0.0001729 0.0000001 EM
26 -0.12553969D+04 0.0001394 0.0000001 EM
27 -0.12553968D+04 0.0001124 0.0000001 EM
28 -0.12553967D+04 0.0000906 0.0000001 EM
29 -0.12553966D+04 0.0000731 0.0000001 EM
30 -0.12553965D+04 0.0000589 0.0000000 EM
31 -0.12553965D+04 0.0000475 0.0000000 EM
32 -0.12553965D+04 0.0000383 0.0000000 EM
33 -0.12553964D+04 0.0000309 0.0000000 EM
34 -0.12553964D+04 0.0000249 0.0000000 EM
35 -0.12553964D+04 0.0000201 0.0000000 EM
36 -0.12553964D+04 0.0000162 0.0000000 EM
37 -0.12553964D+04 0.0000130 0.0000000 EM
38 -0.12553963D+04 0.0000105 0.0000000 EM
39 -0.12553963D+04 0.0000085 0.0000000 EM
40 -0.12553963D+04 0.0000068 0.0000000 EM
41 -0.12553963D+04 0.0000055 0.0000000 EM
42 -0.12553963D+04 0.0000222 0.0000000 FS
43 -0.12553963D+04 0.0000006 0.0000000 FS
44 -0.12553963D+04 0.0000000 0.0000000 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17
10 -0.12558483D+04 0.4359420 0.0003470 EM
11 -0.12556727D+04 0.1755823 0.0001398 EM
12 -0.12555881D+04 0.0845912 0.0000674 EM
13 -0.12555393D+04 0.0488497 0.0000389 EM
14 -0.12555069D+04 0.0323976 0.0000258 EM
15 -0.12554834D+04 0.0234451 0.0000187 EM
16 -0.12554656D+04 0.0178204 0.0000142 EM
17 -0.12554517D+04 0.0139046 0.0000111 EM
18 -0.12554407D+04 0.0109993 0.0000088 EM
19 -0.12554320D+04 0.0087642 0.0000070 EM
20 -0.12554249D+04 0.0070103 0.0000056 EM
21 -0.12554193D+04 0.0056194 0.0000045 EM
22 -0.12554148D+04 0.0045101 0.0000036 EM
23 -0.12554112D+04 0.0036225 0.0000029 EM
24 -0.12554083D+04 0.0029112 0.0000023 EM
25 -0.12554059D+04 0.0023404 0.0000019 EM
26 -0.12554041D+04 0.0018820 0.0000015 EM
27 -0.12554025D+04 0.0015138 0.0000012 EM
28 -0.12554013D+04 0.0012179 0.0000010 EM
29 -0.12554003D+04 0.0009800 0.0000008 EM
30 -0.12553996D+04 0.0007887 0.0000006 EM
31 -0.12553989D+04 0.0006349 0.0000005 EM
32 -0.12553984D+04 0.0005111 0.0000004 EM
33 -0.12553980D+04 0.0004115 0.0000003 EM
34 -0.12553977D+04 0.0003313 0.0000003 EM
35 -0.12553974D+04 0.0002668 0.0000002 EM
36 -0.12553972D+04 0.0002148 0.0000002 EM
37 -0.12553970D+04 0.0001730 0.0000001 EM
38 -0.12553969D+04 0.0001394 0.0000001 EM
39 -0.12553968D+04 0.0001123 0.0000001 EM
40 -0.12553963D+04 0.0004522 0.0000004 FS
41 -0.12553963D+04 0.0000126 0.0000000 FS
42 -0.12553963D+04 0.0000005 0.0000000 FS
43 -0.12553963D+04 0.0000000 0.0000000 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
3 -0.12559636D+04 0.9446035 0.0007515 EM
4 -0.12557534D+04 0.2101394 0.0001673 EM
5 -0.12556556D+04 0.0978109 0.0000779 EM
6 -0.12555961D+04 0.0595311 0.0000474 EM
7 -0.12555539D+04 0.0421856 0.0000336 EM
8 -0.12555218D+04 0.0320710 0.0000255 EM
9 -0.12554967D+04 0.0251220 0.0000200 EM
10 -0.12554768D+04 0.0199313 0.0000159 EM
11 -0.12554609D+04 0.0159037 0.0000127 EM
12 -0.12554482D+04 0.0127254 0.0000101 EM
13 -0.12554380D+04 0.0101976 0.0000081 EM
14 -0.12554298D+04 0.0081796 0.0000065 EM
15 -0.12554232D+04 0.0065652 0.0000052 EM
16 -0.12554179D+04 0.0052720 0.0000042 EM
17 -0.12554137D+04 0.0042353 0.0000034 EM
18 -0.12554103D+04 0.0034035 0.0000027 EM
19 -0.12554076D+04 0.0027360 0.0000022 EM
20 -0.12554054D+04 0.0021999 0.0000018 EM
21 -0.12554036D+04 0.0017693 0.0000014 EM
22 -0.12554022D+04 0.0014233 0.0000011 EM
23 -0.12554010D+04 0.0011451 0.0000009 EM
24 -0.12554001D+04 0.0009215 0.0000007 EM
25 -0.12553994D+04 0.0007416 0.0000006 EM
26 -0.12553988D+04 0.0005970 0.0000005 EM
27 -0.12553983D+04 0.0004806 0.0000004 EM
28 -0.12553979D+04 0.0003869 0.0000003 EM
29 -0.12553976D+04 0.0003116 0.0000002 EM
30 -0.12553973D+04 0.0002509 0.0000002 EM
31 -0.12553971D+04 0.0002021 0.0000002 EM
32 -0.12553970D+04 0.0001627 0.0000001 EM
33 -0.12553968D+04 0.0001311 0.0000001 EM
34 -0.12553967D+04 0.0001056 0.0000001 EM
35 -0.12553967D+04 0.0000851 0.0000001 EM
36 -0.12553966D+04 0.0000685 0.0000001 EM
37 -0.12553963D+04 0.0002761 0.0000002 FS
38 -0.12553963D+04 0.0000077 0.0000000 FS
39 -0.12553963D+04 0.0000003 0.0000000 FS
40 -0.12553963D+04 0.0000000 0.0000000 FS
Beginning Time: 23:12:55
Ending Time: 23:12:56
Elapsed Time: 00:00:01
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