Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:13 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a LCA with unordered
categorical latent class indicators using
automatic starting values with random
starts
DATA: FILE IS ex7.7.dat;
VARIABLE: NAMES ARE u1-u4 c;
USEVARIABLES ARE u1-u4;
CLASSES = c (2);
NOMINAL = u1-u4;
ANALYSIS: TYPE = MIXTURE;
OUTPUT: TECH1 TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of a LCA with unordered
categorical latent class indicators using
automatic starting values with random
starts
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 5000
Number of dependent variables 4
Number of independent variables 0
Number of continuous latent variables 0
Number of categorical latent variables 1
Observed dependent variables
Unordered categorical (nominal)
U1 U2 U3 U4
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)
ex7.7.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U1
Category 1 0.267 1333.000
Category 2 0.439 2193.000
Category 3 0.295 1474.000
U2
Category 1 0.263 1315.000
Category 2 0.451 2255.000
Category 3 0.286 1430.000
U3
Category 1 0.263 1315.000
Category 2 0.446 2228.000
Category 3 0.291 1457.000
U4
Category 1 0.275 1374.000
Category 2 0.435 2177.000
Category 3 0.290 1449.000
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:
-21408.482 415931 10
-21408.482 127215 9
-21408.482 107446 12
-21408.482 533738 11
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 17
Loglikelihood
H0 Value -21408.482
H0 Scaling Correction Factor 1.0946
for MLR
Information Criteria
Akaike (AIC) 42850.964
Bayesian (BIC) 42961.756
Sample-Size Adjusted BIC 42907.736
(n* = (n + 2) / 24)
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL
Latent
Classes
1 3712.98522 0.74260
2 1287.01478 0.25740
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 3712.98522 0.74260
2 1287.01478 0.25740
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 4317 0.86340
2 683 0.13660
CLASSIFICATION QUALITY
Entropy 0.343
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.794 0.206
2 0.416 0.584
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.924 0.076
2 0.690 0.310
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 2.491 0.000
2 0.800 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Latent Class 1
Means
U1#1 -0.379 0.162 -2.336 0.019
U1#2 0.145 0.167 0.867 0.386
U2#1 -0.498 0.287 -1.735 0.083
U2#2 0.071 0.275 0.256 0.798
U3#1 0.145 0.168 0.861 0.389
U3#2 0.619 0.169 3.669 0.000
U4#1 0.196 0.156 1.254 0.210
U4#2 0.640 0.144 4.441 0.000
Latent Class 2
Means
U1#1 0.967 0.963 1.004 0.315
U1#2 1.408 0.882 1.596 0.110
U2#1 2.353 3.918 0.600 0.548
U2#2 2.838 3.878 0.732 0.464
U3#1 -0.772 0.487 -1.584 0.113
U3#2 -0.043 0.236 -0.182 0.856
U4#1 -0.682 0.424 -1.608 0.108
U4#2 -0.161 0.416 -0.387 0.699
Categorical Latent Variables
Means
C#1 1.060 1.193 0.888 0.374
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.443E-04
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR LATENT CLASS 1
PARAMETER SPECIFICATION FOR LATENT CLASS 2
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
1 0
PARAMETER SPECIFICATION FOR THE CENSORED/NOMINAL/COUNT MODEL PART
NU(P) FOR LATENT CLASS 1
U1#1 U1#2 U2#1 U2#2 U3#1
________ ________ ________ ________ ________
2 3 4 5 6
NU(P) FOR LATENT CLASS 1
U3#2 U4#1 U4#2
________ ________ ________
7 8 9
NU(P) FOR LATENT CLASS 2
U1#1 U1#2 U2#1 U2#2 U3#1
________ ________ ________ ________ ________
10 11 12 13 14
NU(P) FOR LATENT CLASS 2
U3#2 U4#1 U4#2
________ ________ ________
15 16 17
STARTING VALUES FOR LATENT CLASS 1
STARTING VALUES FOR LATENT CLASS 2
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
0.000 0.000
STARTING VALUES FOR THE CENSORED/NOMINAL/COUNT MODEL PART
NU(P) FOR LATENT CLASS 1
U1#1 U1#2 U2#1 U2#2 U3#1
________ ________ ________ ________ ________
-0.101 0.397 -0.084 0.455 -0.103
NU(P) FOR LATENT CLASS 1
U3#2 U4#1 U4#2
________ ________ ________
0.425 -0.053 0.407
NU(P) FOR LATENT CLASS 2
U1#1 U1#2 U2#1 U2#2 U3#1
________ ________ ________ ________ ________
0.899 1.397 0.916 1.455 0.897
NU(P) FOR LATENT CLASS 2
U3#2 U4#1 U4#2
________ ________ ________
1.425 0.947 1.407
TECHNICAL 8 OUTPUT
INITIAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.21796805D+05 0.0000000 0.0000000 EM
2 -0.21468322D+05 328.4823638 0.0150702 EM
3 -0.21460835D+05 7.4877277 0.0003488 EM
4 -0.21456199D+05 4.6352647 0.0002160 EM
5 -0.21453094D+05 3.1049645 0.0001447 EM
6 -0.21450874D+05 2.2200024 0.0001035 EM
7 -0.21449190D+05 1.6841541 0.0000785 EM
8 -0.21447836D+05 1.3540639 0.0000631 EM
9 -0.21446681D+05 1.1551726 0.0000539 EM
10 -0.21445634D+05 1.0467412 0.0000488 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.29726295D+05 0.0000000 0.0000000 EM
2 -0.21585326D+05 8140.9689033 0.2738642 EM
3 -0.21467030D+05 118.2961634 0.0054804 EM
4 -0.21447467D+05 19.5635141 0.0009113 EM
5 -0.21443333D+05 4.1334461 0.0001927 EM
6 -0.21442402D+05 0.9314558 0.0000434 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.38013361D+05 0.0000000 0.0000000 EM
2 -0.21569961D+05 ************ 0.4325690 EM
3 -0.21478236D+05 91.7248181 0.0042524 EM
4 -0.21456608D+05 21.6277098 0.0010070 EM
5 -0.21448653D+05 7.9551441 0.0003708 EM
6 -0.21445056D+05 3.5969994 0.0001677 EM
7 -0.21443220D+05 1.8366076 0.0000856 EM
8 -0.21442195D+05 1.0240569 0.0000478 EM
9 -0.21441578D+05 0.6171890 0.0000288 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.30253052D+05 0.0000000 0.0000000 EM
2 -0.21674543D+05 8578.5095441 0.2835585 EM
3 -0.21522576D+05 151.9668711 0.0070113 EM
4 -0.21484335D+05 38.2409630 0.0017768 EM
5 -0.21468544D+05 15.7910891 0.0007350 EM
6 -0.21460280D+05 8.2641553 0.0003849 EM
7 -0.21455349D+05 4.9303738 0.0002297 EM
8 -0.21452169D+05 3.1805473 0.0001482 EM
9 -0.21450014D+05 2.1548994 0.0001005 EM
10 -0.21448506D+05 1.5074206 0.0000703 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.35167116D+05 0.0000000 0.0000000 EM
2 -0.21632592D+05 ************ 0.3848631 EM
3 -0.21500246D+05 132.3462271 0.0061179 EM
4 -0.21468259D+05 31.9870686 0.0014878 EM
5 -0.21455029D+05 13.2298607 0.0006163 EM
6 -0.21447653D+05 7.3758698 0.0003438 EM
7 -0.21442606D+05 5.0463488 0.0002353 EM
8 -0.21438618D+05 3.9889068 0.0001860 EM
9 -0.21435157D+05 3.4607463 0.0001614 EM
10 -0.21432000D+05 3.1564767 0.0001473 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.35807028D+05 0.0000000 0.0000000 EM
2 -0.21729275D+05 ************ 0.3931561 EM
3 -0.21539558D+05 189.7164681 0.0087309 EM
4 -0.21491728D+05 47.8306592 0.0022206 EM
5 -0.21472580D+05 19.1474134 0.0008909 EM
6 -0.21462931D+05 9.6490438 0.0004494 EM
7 -0.21457326D+05 5.6047119 0.0002611 EM
8 -0.21453731D+05 3.5958629 0.0001676 EM
9 -0.21451240D+05 2.4903873 0.0001161 EM
10 -0.21449402D+05 1.8381389 0.0000857 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.36548283D+05 0.0000000 0.0000000 EM
2 -0.21664150D+05 ************ 0.4072457 EM
3 -0.21531305D+05 132.8448038 0.0061320 EM
4 -0.21491150D+05 40.1557354 0.0018650 EM
5 -0.21472964D+05 18.1859464 0.0008462 EM
6 -0.21463031D+05 9.9324819 0.0004626 EM
7 -0.21457007D+05 6.0242706 0.0002807 EM
8 -0.21453104D+05 3.9028027 0.0001819 EM
9 -0.21450459D+05 2.6448436 0.0001233 EM
10 -0.21448607D+05 1.8520414 0.0000863 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.35839076D+05 0.0000000 0.0000000 EM
2 -0.21610970D+05 ************ 0.3969998 EM
3 -0.21503153D+05 107.8169229 0.0049890 EM
4 -0.21473935D+05 29.2175243 0.0013588 EM
5 -0.21461762D+05 12.1729351 0.0005669 EM
6 -0.21455498D+05 6.2642370 0.0002919 EM
7 -0.21451823D+05 3.6745988 0.0001713 EM
8 -0.21449452D+05 2.3714054 0.0001105 EM
9 -0.21447795D+05 1.6571338 0.0000773 EM
10 -0.21446548D+05 1.2463736 0.0000581 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.29611272D+05 0.0000000 0.0000000 EM
2 -0.21656134D+05 7955.1381465 0.2686524 EM
3 -0.21518524D+05 137.6101248 0.0063543 EM
4 -0.21481098D+05 37.4254182 0.0017392 EM
5 -0.21465520D+05 15.5783699 0.0007252 EM
6 -0.21457390D+05 8.1304176 0.0003788 EM
7 -0.21452468D+05 4.9213688 0.0002294 EM
8 -0.21449147D+05 3.3217862 0.0001548 EM
9 -0.21446707D+05 2.4397763 0.0001137 EM
10 -0.21444792D+05 1.9144295 0.0000893 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.40322680D+05 0.0000000 0.0000000 EM
2 -0.21548203D+05 ************ 0.4656059 EM
3 -0.21465755D+05 82.4479427 0.0038262 EM
4 -0.21440643D+05 25.1121286 0.0011699 EM
5 -0.21429395D+05 11.2482245 0.0005246 EM
6 -0.21423175D+05 6.2198760 0.0002902 EM
7 -0.21419296D+05 3.8789935 0.0001811 EM
8 -0.21416715D+05 2.5807350 0.0001205 EM
9 -0.21414945D+05 1.7702812 0.0000827 EM
10 -0.21413717D+05 1.2278825 0.0000573 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.40154914D+05 0.0000000 0.0000000 EM
2 -0.21644486D+05 ************ 0.4609754 EM
3 -0.21497906D+05 146.5799618 0.0067722 EM
4 -0.21457311D+05 40.5949495 0.0018883 EM
5 -0.21439625D+05 17.6859024 0.0008242 EM
6 -0.21429862D+05 9.7625346 0.0004554 EM
7 -0.21423688D+05 6.1738774 0.0002881 EM
8 -0.21419474D+05 4.2142229 0.0001967 EM
9 -0.21416482D+05 2.9921225 0.0001397 EM
10 -0.21414321D+05 2.1613701 0.0001009 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.36042880D+05 0.0000000 0.0000000 EM
2 -0.21597223D+05 ************ 0.4007909 EM
3 -0.21487662D+05 109.5608655 0.0050729 EM
4 -0.21458825D+05 28.8372676 0.0013420 EM
5 -0.21446668D+05 12.1569652 0.0005665 EM
6 -0.21440069D+05 6.5993804 0.0003077 EM
7 -0.21435830D+05 4.2383738 0.0001977 EM
8 -0.21432760D+05 3.0701902 0.0001432 EM
9 -0.21430337D+05 2.4228459 0.0001130 EM
10 -0.21428311D+05 2.0267107 0.0000946 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.33396392D+05 0.0000000 0.0000000 EM
2 -0.21499511D+05 ************ 0.3562325 EM
3 -0.21429560D+05 69.9513385 0.0032536 EM
4 -0.21417260D+05 12.2995561 0.0005740 EM
5 -0.21414784D+05 2.4766335 0.0001156 EM
6 -0.21414265D+05 0.5188723 0.0000242 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.40562800D+05 0.0000000 0.0000000 EM
2 -0.21671412D+05 ************ 0.4657319 EM
3 -0.21541644D+05 129.7676776 0.0059880 EM
4 -0.21497428D+05 44.2161641 0.0020526 EM
5 -0.21475625D+05 21.8030833 0.0010142 EM
6 -0.21462776D+05 12.8491378 0.0005983 EM
7 -0.21454322D+05 8.4541364 0.0003939 EM
8 -0.21448331D+05 5.9913338 0.0002793 EM
9 -0.21443866D+05 4.4649405 0.0002082 EM
10 -0.21440427D+05 3.4381881 0.0001603 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.40974335D+05 0.0000000 0.0000000 EM
2 -0.21703460D+05 ************ 0.4703158 EM
3 -0.21525530D+05 177.9292471 0.0081982 EM
4 -0.21482300D+05 43.2301608 0.0020083 EM
5 -0.21465643D+05 16.6573962 0.0007754 EM
6 -0.21457609D+05 8.0336580 0.0003743 EM
7 -0.21453176D+05 4.4330502 0.0002066 EM
8 -0.21450498D+05 2.6778612 0.0001248 EM
9 -0.21448771D+05 1.7276400 0.0000805 EM
10 -0.21447597D+05 1.1731314 0.0000547 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.36914698D+05 0.0000000 0.0000000 EM
2 -0.21622626D+05 ************ 0.4142543 EM
3 -0.21485421D+05 137.2042757 0.0063454 EM
4 -0.21454070D+05 31.3509387 0.0014592 EM
5 -0.21443515D+05 10.5550462 0.0004920 EM
6 -0.21439289D+05 4.2262771 0.0001971 EM
7 -0.21437399D+05 1.8898979 0.0000882 EM
8 -0.21436459D+05 0.9404880 0.0000439 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.33653401D+05 0.0000000 0.0000000 EM
2 -0.21706866D+05 ************ 0.3549874 EM
3 -0.21525638D+05 181.2283675 0.0083489 EM
4 -0.21481977D+05 43.6607643 0.0020283 EM
5 -0.21465010D+05 16.9672339 0.0007898 EM
6 -0.21456633D+05 8.3771851 0.0003903 EM
7 -0.21451819D+05 4.8140346 0.0002244 EM
8 -0.21448726D+05 3.0923070 0.0001442 EM
9 -0.21446552D+05 2.1746968 0.0001014 EM
10 -0.21444897D+05 1.6543470 0.0000771 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.42962565D+05 0.0000000 0.0000000 EM
2 -0.21617153D+05 ************ 0.4968375 EM
3 -0.21500439D+05 116.7135509 0.0053991 EM
4 -0.21469507D+05 30.9318181 0.0014387 EM
5 -0.21456762D+05 12.7457221 0.0005937 EM
6 -0.21450265D+05 6.4969447 0.0003028 EM
7 -0.21446529D+05 3.7357133 0.0001742 EM
8 -0.21444212D+05 2.3165167 0.0001080 EM
9 -0.21442697D+05 1.5155341 0.0000707 EM
10 -0.21441659D+05 1.0374172 0.0000484 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.40087261D+05 0.0000000 0.0000000 EM
2 -0.21695053D+05 ************ 0.4588043 EM
3 -0.21522573D+05 172.4800224 0.0079502 EM
4 -0.21477822D+05 44.7507926 0.0020792 EM
5 -0.21459478D+05 18.3443386 0.0008541 EM
6 -0.21449964D+05 9.5140502 0.0004433 EM
7 -0.21444225D+05 5.7386505 0.0002675 EM
8 -0.21440364D+05 3.8606040 0.0001800 EM
9 -0.21437539D+05 2.8254431 0.0001318 EM
10 -0.21435328D+05 2.2112550 0.0001031 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.37032558D+05 0.0000000 0.0000000 EM
2 -0.21669906D+05 ************ 0.4148418 EM
3 -0.21512849D+05 157.0566938 0.0072477 EM
4 -0.21471571D+05 41.2780061 0.0019188 EM
5 -0.21454480D+05 17.0913553 0.0007960 EM
6 -0.21445879D+05 8.6008397 0.0004009 EM
7 -0.21441078D+05 4.8012797 0.0002239 EM
8 -0.21438187D+05 2.8908413 0.0001348 EM
9 -0.21436304D+05 1.8829883 0.0000878 EM
10 -0.21434958D+05 1.3457844 0.0000628 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.34788050D+05 0.0000000 0.0000000 EM
2 -0.21680584D+05 ************ 0.3767807 EM
3 -0.21516794D+05 163.7898553 0.0075547 EM
4 -0.21477438D+05 39.3554380 0.0018291 EM
5 -0.21461754D+05 15.6843992 0.0007303 EM
6 -0.21453748D+05 8.0057600 0.0003730 EM
7 -0.21448993D+05 4.7551198 0.0002216 EM
8 -0.21445848D+05 3.1454844 0.0001466 EM
9 -0.21443580D+05 2.2678441 0.0001057 EM
10 -0.21441818D+05 1.7621693 0.0000822 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
10 -0.21413717D+05 1.2278825 0.0000573 EM
11 -0.21412864D+05 0.8527410 0.0000398 EM
12 -0.21412273D+05 0.5907445 0.0000276 EM
13 -0.21411865D+05 0.4082327 0.0000191 EM
14 -0.21411583D+05 0.2820558 0.0000132 EM
15 -0.21411388D+05 0.1955594 0.0000091 EM
16 -0.21411251D+05 0.1366777 0.0000064 EM
17 -0.21411154D+05 0.0967689 0.0000045 EM
18 -0.21411084D+05 0.0697504 0.0000033 EM
19 -0.21411033D+05 0.0514156 0.0000024 EM
20 -0.21410994D+05 0.0388986 0.0000018 EM
21 -0.21410964D+05 0.0302699 0.0000014 EM
22 -0.21410939D+05 0.0242411 0.0000011 EM
23 -0.21410920D+05 0.0199569 0.0000009 EM
24 -0.21410903D+05 0.0168506 0.0000008 EM
25 -0.21410888D+05 0.0145472 0.0000007 EM
26 -0.21410875D+05 0.0127977 0.0000006 EM
27 -0.21410864D+05 0.0114365 0.0000005 EM
28 -0.21410854D+05 0.0103522 0.0000005 EM
29 -0.21410844D+05 0.0094698 0.0000004 EM
30 -0.21410835D+05 0.0087378 0.0000004 EM
31 -0.21410827D+05 0.0081205 0.0000004 EM
32 -0.21410820D+05 0.0075929 0.0000004 EM
33 -0.21410812D+05 0.0071370 0.0000003 EM
34 -0.21410806D+05 0.0067394 0.0000003 EM
35 -0.21410799D+05 0.0063904 0.0000003 EM
36 -0.21410793D+05 0.0060824 0.0000003 EM
37 -0.21410787D+05 0.0058093 0.0000003 EM
38 -0.21410782D+05 0.0055665 0.0000003 EM
39 -0.21410777D+05 0.0053500 0.0000002 EM
40 -0.21410771D+05 0.0051566 0.0000002 EM
41 -0.21410766D+05 0.0049835 0.0000002 EM
42 -0.21410762D+05 0.0048283 0.0000002 EM
43 -0.21410757D+05 0.0046891 0.0000002 EM
44 -0.21410752D+05 0.0045641 0.0000002 EM
45 -0.21410748D+05 0.0044516 0.0000002 EM
46 -0.21410744D+05 0.0043504 0.0000002 EM
47 -0.21410739D+05 0.0042593 0.0000002 EM
48 -0.21410735D+05 0.0041770 0.0000002 EM
49 -0.21410731D+05 0.0041028 0.0000002 EM
50 -0.21410727D+05 0.0040357 0.0000002 EM
51 -0.21410723D+05 0.0039750 0.0000002 EM
52 -0.21410719D+05 0.0039199 0.0000002 EM
53 -0.21410715D+05 0.0038700 0.0000002 EM
54 -0.21410711D+05 0.0038246 0.0000002 EM
55 -0.21410708D+05 0.0037832 0.0000002 EM
56 -0.21410704D+05 0.0037455 0.0000002 EM
57 -0.21410700D+05 0.0037110 0.0000002 EM
58 -0.21410696D+05 0.0036794 0.0000002 EM
59 -0.21410693D+05 0.0036504 0.0000002 EM
60 -0.21410689D+05 0.0036238 0.0000002 EM
61 -0.21410686D+05 0.0035991 0.0000002 EM
62 -0.21410682D+05 0.0035764 0.0000002 EM
63 -0.21410678D+05 0.0035553 0.0000002 EM
64 -0.21410675D+05 0.0035356 0.0000002 EM
65 -0.21410671D+05 0.0035173 0.0000002 EM
66 -0.21410668D+05 0.0035001 0.0000002 EM
67 -0.21410664D+05 0.0034840 0.0000002 EM
68 -0.21410661D+05 0.0034688 0.0000002 EM
69 -0.21410657D+05 0.0034545 0.0000002 EM
70 -0.21410654D+05 0.0034409 0.0000002 EM
71 -0.21410651D+05 0.0034280 0.0000002 EM
72 -0.21410647D+05 0.0034157 0.0000002 EM
73 -0.21408494D+05 2.1534569 0.0001006 QN
74 -0.21408492D+05 0.0019464 0.0000001 EM
75 -0.21408491D+05 0.0011464 0.0000001 EM
76 -0.21408490D+05 0.0009411 0.0000000 EM
77 -0.21408489D+05 0.0007839 0.0000000 EM
78 -0.21408488D+05 0.0006603 0.0000000 EM
79 -0.21408488D+05 0.0005610 0.0000000 EM
80 -0.21408487D+05 0.0004800 0.0000000 EM
81 -0.21408487D+05 0.0004131 0.0000000 EM
82 -0.21408486D+05 0.0003572 0.0000000 EM
83 -0.21408486D+05 0.0003103 0.0000000 EM
84 -0.21408486D+05 0.0002706 0.0000000 EM
85 -0.21408486D+05 0.0002370 0.0000000 EM
86 -0.21408482D+05 0.0036138 0.0000002 QN
87 -0.21408482D+05 0.0000001 0.0000000 EM
88 -0.21408482D+05 0.0000001 0.0000000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12
6 -0.21414265D+05 0.5188723 0.0000242 EM
7 -0.21414151D+05 0.1143576 0.0000053 EM
8 -0.21414121D+05 0.0298907 0.0000014 EM
9 -0.21414109D+05 0.0121563 0.0000006 EM
10 -0.21414100D+05 0.0084027 0.0000004 EM
11 -0.21414093D+05 0.0075872 0.0000004 EM
12 -0.21414085D+05 0.0073912 0.0000003 EM
13 -0.21414078D+05 0.0073266 0.0000003 EM
14 -0.21414071D+05 0.0072906 0.0000003 EM
15 -0.21414063D+05 0.0072612 0.0000003 EM
16 -0.21414056D+05 0.0072340 0.0000003 EM
17 -0.21414049D+05 0.0072079 0.0000003 EM
18 -0.21414042D+05 0.0071827 0.0000003 EM
19 -0.21414034D+05 0.0071583 0.0000003 EM
20 -0.21414027D+05 0.0071347 0.0000003 EM
21 -0.21414020D+05 0.0071119 0.0000003 EM
22 -0.21414013D+05 0.0070899 0.0000003 EM
23 -0.21414006D+05 0.0070686 0.0000003 EM
24 -0.21413999D+05 0.0070481 0.0000003 EM
25 -0.21413992D+05 0.0070283 0.0000003 EM
26 -0.21413985D+05 0.0070093 0.0000003 EM
27 -0.21413978D+05 0.0069909 0.0000003 EM
28 -0.21413971D+05 0.0069733 0.0000003 EM
29 -0.21413964D+05 0.0069563 0.0000003 EM
30 -0.21413957D+05 0.0069400 0.0000003 EM
31 -0.21413950D+05 0.0069244 0.0000003 EM
32 -0.21413943D+05 0.0069094 0.0000003 EM
33 -0.21413936D+05 0.0068950 0.0000003 EM
34 -0.21413930D+05 0.0068813 0.0000003 EM
35 -0.21413923D+05 0.0068682 0.0000003 EM
36 -0.21413916D+05 0.0068557 0.0000003 EM
37 -0.21413909D+05 0.0068439 0.0000003 EM
38 -0.21413902D+05 0.0068326 0.0000003 EM
39 -0.21413895D+05 0.0068219 0.0000003 EM
40 -0.21413888D+05 0.0068118 0.0000003 EM
41 -0.21413882D+05 0.0068023 0.0000003 EM
42 -0.21413875D+05 0.0067933 0.0000003 EM
43 -0.21413868D+05 0.0067849 0.0000003 EM
44 -0.21413861D+05 0.0067771 0.0000003 EM
45 -0.21413855D+05 0.0067697 0.0000003 EM
46 -0.21413848D+05 0.0067630 0.0000003 EM
47 -0.21413841D+05 0.0067567 0.0000003 EM
48 -0.21413834D+05 0.0067510 0.0000003 EM
49 -0.21413828D+05 0.0067459 0.0000003 EM
50 -0.21413821D+05 0.0067412 0.0000003 EM
51 -0.21413814D+05 0.0067371 0.0000003 EM
52 -0.21413807D+05 0.0067334 0.0000003 EM
53 -0.21413801D+05 0.0067303 0.0000003 EM
54 -0.21413794D+05 0.0067277 0.0000003 EM
55 -0.21413787D+05 0.0067255 0.0000003 EM
56 -0.21413780D+05 0.0067239 0.0000003 EM
57 -0.21413774D+05 0.0067228 0.0000003 EM
58 -0.21413767D+05 0.0067221 0.0000003 EM
59 -0.21413760D+05 0.0067219 0.0000003 EM
60 -0.21413754D+05 0.0067223 0.0000003 EM
61 -0.21413747D+05 0.0067231 0.0000003 EM
62 -0.21408602D+05 5.1448210 0.0002403 QN
63 -0.21408585D+05 0.0166915 0.0000008 EM
64 -0.21408578D+05 0.0073260 0.0000003 EM
65 -0.21408573D+05 0.0049309 0.0000002 EM
66 -0.21408570D+05 0.0034825 0.0000002 EM
67 -0.21408567D+05 0.0025929 0.0000001 EM
68 -0.21408565D+05 0.0020343 0.0000001 EM
69 -0.21408563D+05 0.0016731 0.0000001 EM
70 -0.21408562D+05 0.0014310 0.0000001 EM
71 -0.21408561D+05 0.0012617 0.0000001 EM
72 -0.21408559D+05 0.0011380 0.0000001 EM
73 -0.21408558D+05 0.0010433 0.0000000 EM
74 -0.21408557D+05 0.0009678 0.0000000 EM
75 -0.21408557D+05 0.0009053 0.0000000 EM
76 -0.21408556D+05 0.0008519 0.0000000 EM
77 -0.21408555D+05 0.0008052 0.0000000 EM
78 -0.21408554D+05 0.0007635 0.0000000 EM
79 -0.21408482D+05 0.0720831 0.0000034 QN
80 -0.21408482D+05 0.0000001 0.0000000 EM
81 -0.21408482D+05 0.0000000 0.0000000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
10 -0.21414321D+05 2.1613701 0.0001009 EM
11 -0.21412752D+05 1.5690261 0.0000733 EM
12 -0.21411614D+05 1.1378666 0.0000531 EM
13 -0.21410791D+05 0.8226404 0.0000384 EM
14 -0.21410198D+05 0.5930152 0.0000277 EM
15 -0.21409771D+05 0.4268353 0.0000199 EM
16 -0.21409464D+05 0.3073438 0.0000144 EM
17 -0.21409242D+05 0.2218391 0.0000104 EM
18 -0.21409081D+05 0.1608151 0.0000075 EM
19 -0.21408964D+05 0.1172757 0.0000055 EM
20 -0.21408878D+05 0.0861536 0.0000040 EM
21 -0.21408814D+05 0.0638247 0.0000030 EM
22 -0.21408766D+05 0.0477213 0.0000022 EM
23 -0.21408730D+05 0.0360339 0.0000017 EM
24 -0.21408703D+05 0.0274907 0.0000013 EM
25 -0.21408682D+05 0.0211977 0.0000010 EM
26 -0.21408665D+05 0.0165250 0.0000008 EM
27 -0.21408652D+05 0.0130270 0.0000006 EM
28 -0.21408642D+05 0.0103868 0.0000005 EM
29 -0.21408633D+05 0.0083774 0.0000004 EM
30 -0.21408626D+05 0.0068357 0.0000003 EM
31 -0.21408621D+05 0.0056431 0.0000003 EM
32 -0.21408616D+05 0.0047129 0.0000002 EM
33 -0.21408612D+05 0.0039814 0.0000002 EM
34 -0.21408609D+05 0.0034014 0.0000002 EM
35 -0.21408606D+05 0.0029376 0.0000001 EM
36 -0.21408603D+05 0.0025636 0.0000001 EM
37 -0.21408570D+05 0.0333721 0.0000016 FS
38 -0.21408491D+05 0.0787698 0.0000037 FS
39 -0.21408484D+05 0.0070281 0.0000003 FS
40 -0.21408483D+05 0.0014891 0.0000001 FS
41 -0.21408482D+05 0.0003885 0.0000000 FS
42 -0.21408482D+05 0.0001148 0.0000000 FS
43 -0.21408482D+05 0.0000355 0.0000000 FS
44 -0.21408482D+05 0.0000113 0.0000000 FS
45 -0.21408482D+05 0.0000037 0.0000000 FS
46 -0.21408482D+05 0.0000012 0.0000000 FS
47 -0.21408482D+05 0.0000004 0.0000000 FS
48 -0.21408482D+05 0.0000001 0.0000000 FS
49 -0.21408482D+05 0.0000000 0.0000000 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11
10 -0.21428311D+05 2.0267107 0.0000946 EM
11 -0.21426551D+05 1.7597428 0.0000821 EM
12 -0.21424989D+05 1.5622078 0.0000729 EM
13 -0.21423585D+05 1.4035964 0.0000655 EM
14 -0.21422317D+05 1.2681561 0.0000592 EM
15 -0.21421169D+05 1.1478819 0.0000536 EM
16 -0.21420130D+05 1.0388372 0.0000485 EM
17 -0.21419191D+05 0.9391305 0.0000438 EM
18 -0.21418343D+05 0.8478007 0.0000396 EM
19 -0.21417579D+05 0.7642361 0.0000357 EM
20 -0.21416891D+05 0.6879060 0.0000321 EM
21 -0.21416273D+05 0.6182681 0.0000289 EM
22 -0.21415718D+05 0.5547639 0.0000259 EM
23 -0.21415221D+05 0.4968455 0.0000232 EM
24 -0.21414777D+05 0.4440067 0.0000207 EM
25 -0.21414381D+05 0.3958028 0.0000185 EM
26 -0.21414029D+05 0.3518577 0.0000164 EM
27 -0.21413718D+05 0.3118596 0.0000146 EM
28 -0.21413442D+05 0.2755484 0.0000129 EM
29 -0.21413199D+05 0.2427012 0.0000113 EM
30 -0.21412986D+05 0.2131171 0.0000100 EM
31 -0.21412800D+05 0.1866046 0.0000087 EM
32 -0.21412637D+05 0.1629729 0.0000076 EM
33 -0.21412495D+05 0.1420269 0.0000066 EM
34 -0.21412371D+05 0.1235655 0.0000058 EM
35 -0.21412264D+05 0.1073830 0.0000050 EM
36 -0.21412170D+05 0.0932715 0.0000044 EM
37 -0.21412089D+05 0.0810247 0.0000038 EM
38 -0.21412019D+05 0.0704421 0.0000033 EM
39 -0.21411958D+05 0.0613320 0.0000029 EM
40 -0.21411904D+05 0.0535147 0.0000025 EM
41 -0.21411857D+05 0.0468240 0.0000022 EM
42 -0.21411816D+05 0.0411090 0.0000019 EM
43 -0.21411780D+05 0.0362342 0.0000017 EM
44 -0.21411748D+05 0.0320793 0.0000015 EM
45 -0.21411719D+05 0.0285387 0.0000013 EM
46 -0.21411694D+05 0.0255206 0.0000012 EM
47 -0.21411671D+05 0.0229457 0.0000011 EM
48 -0.21411650D+05 0.0207460 0.0000010 EM
49 -0.21411631D+05 0.0188634 0.0000009 EM
50 -0.21411614D+05 0.0172487 0.0000008 EM
51 -0.21411598D+05 0.0158603 0.0000007 EM
52 -0.21411583D+05 0.0146631 0.0000007 EM
53 -0.21411570D+05 0.0136276 0.0000006 EM
54 -0.21411557D+05 0.0127289 0.0000006 EM
55 -0.21411545D+05 0.0119464 0.0000006 EM
56 -0.21411534D+05 0.0112624 0.0000005 EM
57 -0.21411523D+05 0.0106625 0.0000005 EM
58 -0.21411513D+05 0.0101344 0.0000005 EM
59 -0.21411503D+05 0.0096678 0.0000005 EM
60 -0.21411494D+05 0.0092539 0.0000004 EM
61 -0.21408555D+05 2.9393886 0.0001373 QN
62 -0.21408548D+05 0.0070190 0.0000003 EM
63 -0.21408543D+05 0.0043426 0.0000002 EM
64 -0.21408540D+05 0.0037019 0.0000002 EM
65 -0.21408537D+05 0.0032006 0.0000001 EM
66 -0.21408534D+05 0.0027996 0.0000001 EM
67 -0.21408531D+05 0.0024730 0.0000001 EM
68 -0.21408529D+05 0.0022031 0.0000001 EM
69 -0.21408527D+05 0.0019772 0.0000001 EM
70 -0.21408525D+05 0.0017861 0.0000001 EM
71 -0.21408524D+05 0.0016229 0.0000001 EM
72 -0.21408522D+05 0.0014824 0.0000001 EM
73 -0.21408521D+05 0.0013605 0.0000001 EM
74 -0.21408482D+05 0.0388130 0.0000018 QN
75 -0.21408482D+05 0.0000005 0.0000000 EM
76 -0.21408482D+05 0.0000002 0.0000000 EM
77 -0.21408482D+05 0.0000001 0.0000000 EM
78 -0.21408482D+05 0.0000001 0.0000000 EM
Beginning Time: 23:13:24
Ending Time: 23:13:24
Elapsed Time: 00:00:00
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