Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010 11:00 PM
INPUT INSTRUCTIONS
TITLE: app5
Confirmatory LCA with 2 latent class variables
on 2+2 ASB items
DATA: FILE IS asb.dat;
FORMAT IS 34X 54F2.0;
VARIABLE: NAMES ARE property fight shoplift lt50 gt50 force threat injure
pot drug soldpot solddrug con auto bldg goods gambling
dsm1-dsm22 sex black hisp single divorce dropout college onset f1 f2 f3
age94 cohort dep abuse;
USEVAR ARE lt50 threat injure bldg;
CLASSES = c(4);
CATEGORICAL ARE lt50 threat injure bldg;
ANALYSIS: TYPE = MIXTURE;
MODEL: %OVERALL%
%c#1%
[lt50$1*2] (1);
[bldg$1*2] (3);
[threat$1*2](5);
[injure$1*2](7);
%c#2%
[lt50$1*2] (1);
[bldg$1*2] (3);
[threat$1*0](6);
[injure$1*0](8);
%c#3%
[lt50$1*0] (2);
[bldg$1*0] (4);
[threat$1*2](5);
[injure$1*2](7);
%c#4%
[lt50$1*0] (2);
[bldg$1*0] (4);
[threat$1*0](6);
[injure$1*0](8);
OUTPUT: TECH8;
INPUT READING TERMINATED NORMALLY
app5
Confirmatory LCA with 2 latent class variables
on 2+2 ASB items
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 7326
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
Binary and ordered categorical (ordinal)
LT50 THREAT INJURE BLDG
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 10
Number of final stage optimizations 2
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)
asb.dat
Input data format
(34X 54F2.0)
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
LT50
Category 1 0.813 5956.000
Category 2 0.187 1370.000
THREAT
Category 1 0.638 4673.000
Category 2 0.362 2653.000
INJURE
Category 1 0.900 6596.000
Category 2 0.100 730.000
BLDG
Category 1 0.943 6911.000
Category 2 0.057 415.000
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:
-11494.469 462953 7
-11494.469 unperturbed 0
WARNING: WHEN ESTIMATING A MODEL WITH MORE THAN TWO CLASSES, IT MAY BE
NECESSARY TO INCREASE THE NUMBER OF RANDOM STARTS USING THE STARTS OPTION
TO AVOID LOCAL MAXIMA.
THE MODEL ESTIMATION TERMINATED NORMALLY
TESTS OF MODEL FIT
Loglikelihood
H0 Value -11494.469
H0 Scaling Correction Factor 1.007
for MLR
Information Criteria
Number of Free Parameters 11
Akaike (AIC) 23010.939
Bayesian (BIC) 23086.830
Sample-Size Adjusted BIC 23051.874
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit for the Binary and Ordered Categorical
(Ordinal) Outcomes
Pearson Chi-Square
Value 17.676
Degrees of Freedom 4
P-Value 0.0014
Likelihood Ratio Chi-Square
Value 17.404
Degrees of Freedom 4
P-Value 0.0016
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL
Latent
Classes
1 5288.90600 0.72194
2 963.32837 0.13149
3 228.03758 0.03113
4 845.72805 0.11544
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASS PATTERNS
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 5288.90600 0.72194
2 963.32837 0.13149
3 228.03758 0.03113
4 845.72805 0.11544
CLASSIFICATION QUALITY
Entropy 0.680
CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 6025 0.82241
2 363 0.04955
3 59 0.00805
4 879 0.11998
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2 3 4
1 0.856 0.095 0.025 0.025
2 0.029 0.799 0.000 0.172
3 0.056 0.001 0.747 0.196
4 0.136 0.115 0.039 0.710
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Latent Class 1
Thresholds
LT50$1 2.149 0.080 26.883 0.000
THREAT$1 1.499 0.113 13.304 0.000
INJURE$1 4.413 0.327 13.512 0.000
BLDG$1 4.935 0.397 12.426 0.000
Latent Class 2
Thresholds
LT50$1 2.149 0.080 26.883 0.000
THREAT$1 -2.309 0.299 -7.720 0.000
INJURE$1 0.545 0.115 4.729 0.000
BLDG$1 4.935 0.397 12.426 0.000
Latent Class 3
Thresholds
LT50$1 -0.698 0.159 -4.405 0.000
THREAT$1 1.499 0.113 13.304 0.000
INJURE$1 4.413 0.327 13.512 0.000
BLDG$1 0.642 0.130 4.920 0.000
Latent Class 4
Thresholds
LT50$1 -0.698 0.159 -4.405 0.000
THREAT$1 -2.309 0.299 -7.720 0.000
INJURE$1 0.545 0.115 4.729 0.000
BLDG$1 0.642 0.130 4.920 0.000
Categorical Latent Variables
Means
C#1 1.833 0.114 16.141 0.000
C#2 0.130 0.147 0.883 0.377
C#3 -1.311 0.248 -5.287 0.000
RESULTS IN PROBABILITY SCALE
Latent Class 1
LT50
Category 1 0.896 0.007 119.794 0.000
Category 2 0.104 0.007 13.968 0.000
THREAT
Category 1 0.817 0.017 48.610 0.000
Category 2 0.183 0.017 10.860 0.000
INJURE
Category 1 0.988 0.004 255.712 0.000
Category 2 0.012 0.004 3.099 0.002
BLDG
Category 1 0.993 0.003 352.604 0.000
Category 2 0.007 0.003 2.536 0.011
Latent Class 2
LT50
Category 1 0.896 0.007 119.794 0.000
Category 2 0.104 0.007 13.968 0.000
THREAT
Category 1 0.090 0.025 3.675 0.000
Category 2 0.910 0.025 36.992 0.000
INJURE
Category 1 0.633 0.027 23.639 0.000
Category 2 0.367 0.027 13.706 0.000
BLDG
Category 1 0.993 0.003 352.604 0.000
Category 2 0.007 0.003 2.536 0.011
Latent Class 3
LT50
Category 1 0.332 0.035 9.444 0.000
Category 2 0.668 0.035 18.989 0.000
THREAT
Category 1 0.817 0.017 48.610 0.000
Category 2 0.183 0.017 10.860 0.000
INJURE
Category 1 0.988 0.004 255.712 0.000
Category 2 0.012 0.004 3.099 0.002
BLDG
Category 1 0.655 0.029 22.236 0.000
Category 2 0.345 0.029 11.707 0.000
Latent Class 4
LT50
Category 1 0.332 0.035 9.444 0.000
Category 2 0.668 0.035 18.989 0.000
THREAT
Category 1 0.090 0.025 3.675 0.000
Category 2 0.910 0.025 36.992 0.000
INJURE
Category 1 0.633 0.027 23.639 0.000
Category 2 0.367 0.027 13.706 0.000
BLDG
Category 1 0.655 0.029 22.236 0.000
Category 2 0.345 0.029 11.707 0.000
LATENT CLASS ODDS RATIO RESULTS
Latent Class 1 Compared to Latent Class 2
LT50
Category > 1 1.000 0.000 999.000 999.000
THREAT
Category > 1 0.022 0.007 3.383 0.001
INJURE
Category > 1 0.021 0.007 3.098 0.002
BLDG
Category > 1 1.000 0.000 999.000 999.000
Latent Class 1 Compared to Latent Class 3
LT50
Category > 1 0.058 0.009 6.320 0.000
THREAT
Category > 1 1.000 0.000 999.000 999.000
INJURE
Category > 1 1.000 0.000 999.000 999.000
BLDG
Category > 1 0.014 0.005 2.622 0.009
Latent Class 1 Compared to Latent Class 4
LT50
Category > 1 0.058 0.009 6.320 0.000
THREAT
Category > 1 0.022 0.007 3.383 0.001
INJURE
Category > 1 0.021 0.007 3.098 0.002
BLDG
Category > 1 0.014 0.005 2.622 0.009
Latent Class 2 Compared to Latent Class 3
LT50
Category > 1 0.058 0.009 6.320 0.000
THREAT
Category > 1 45.052 13.316 3.383 0.001
INJURE
Category > 1 47.844 15.443 3.098 0.002
BLDG
Category > 1 0.014 0.005 2.622 0.009
Latent Class 2 Compared to Latent Class 4
LT50
Category > 1 0.058 0.009 6.320 0.000
THREAT
Category > 1 1.000 0.000 999.000 999.000
INJURE
Category > 1 1.000 0.000 999.000 999.000
BLDG
Category > 1 0.014 0.005 2.622 0.009
Latent Class 3 Compared to Latent Class 4
LT50
Category > 1 1.000 0.000 999.000 999.000
THREAT
Category > 1 0.022 0.007 3.383 0.001
INJURE
Category > 1 0.021 0.007 3.098 0.002
BLDG
Category > 1 1.000 0.000 999.000 999.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.369E-02
(ratio of smallest to largest eigenvalue)
TECHNICAL 8 OUTPUT
INITIAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.14601952D+05 0.0000000 0.0000000 2774.869 1998.734 EM
1342.363 1210.033
2 -0.11864637D+05 2737.3151074 0.1874623 2939.299 1871.210 EM
1245.379 1270.112
3 -0.11781284D+05 83.3529306 0.0070253 3114.654 1742.066 EM
1144.842 1324.437
4 -0.11709166D+05 72.1181844 0.0061214 3287.092 1621.975 EM
1046.551 1370.381
5 -0.11649567D+05 59.5988537 0.0050899 3445.248 1518.331 EM
956.514 1405.908
6 -0.11603908D+05 45.6595203 0.0039194 3581.632 1434.936 EM
879.295 1430.137
7 -0.11572074D+05 31.8339658 0.0027434 3693.315 1372.191 EM
816.946 1443.548
8 -0.11551918D+05 20.1558677 0.0017418 3781.435 1327.902 EM
768.960 1447.702
9 -0.11540135D+05 11.7835492 0.0010201 3849.703 1298.492 EM
733.093 1444.712
10 -0.11533535D+05 6.5992561 0.0005719 3902.722 1280.128 EM
706.428 1436.721
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.34053526D+05 0.0000000 0.0000000 2897.121 3680.493 EM
267.241 481.145
2 -0.12165996D+05 ************ 0.6427390 2911.863 3657.578 EM
253.339 503.221
3 -0.12097877D+05 68.1187351 0.0055991 2941.154 3623.645 EM
231.502 529.700
4 -0.12047620D+05 50.2574498 0.0041542 2988.624 3572.922 EM
203.458 560.996
5 -0.11994270D+05 53.3491789 0.0044282 3058.733 3498.782 EM
172.450 596.035
6 -0.11930600D+05 63.6704960 0.0053084 3154.626 3397.204 EM
142.175 631.995
7 -0.11860573D+05 70.0263998 0.0058695 3274.144 3270.200 EM
115.499 666.156
8 -0.11792465D+05 68.1082035 0.0057424 3409.103 3125.997 EM
93.728 697.172
9 -0.11732029D+05 60.4361862 0.0051250 3548.928 2975.203 EM
76.902 724.967
10 -0.11681067D+05 50.9618673 0.0043438 3684.404 2827.125 EM
64.410 750.060
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.42561629D+05 0.0000000 0.0000000 756.597 1963.052 EM
1387.306 3219.045
2 -0.12398770D+05 ************ 0.7086867 778.208 1941.809 EM
1313.518 3292.465
3 -0.12207070D+05 191.7003898 0.0154612 821.741 1874.751 EM
1266.107 3363.401
4 -0.12082299D+05 124.7715282 0.0102213 885.461 1775.456 EM
1220.053 3445.029
5 -0.11962782D+05 119.5162404 0.0098918 962.493 1656.817 EM
1161.602 3545.088
6 -0.11837125D+05 125.6577004 0.0105041 1039.661 1533.123 EM
1088.910 3664.306
7 -0.11723757D+05 113.3680390 0.0095773 1106.434 1415.849 EM
1011.849 3791.867
8 -0.11640673D+05 83.0835021 0.0070868 1159.789 1311.283 EM
943.223 3911.705
9 -0.11588700D+05 51.9731817 0.0044648 1200.339 1222.660 EM
889.761 4013.241
10 -0.11559392D+05 29.3079491 0.0025290 1229.478 1150.887 EM
851.794 4093.842
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.33161328D+05 0.0000000 0.0000000 1864.727 2217.915 EM
1302.592 1940.765
2 -0.12185806D+05 ************ 0.6325296 1807.595 2290.526 EM
1356.742 1871.138
3 -0.12023273D+05 162.5331554 0.0133379 1721.944 2398.901 EM
1409.053 1796.102
4 -0.11917930D+05 105.3430121 0.0087616 1617.477 2537.431 EM
1457.733 1713.359
5 -0.11838339D+05 79.5907254 0.0066782 1507.731 2694.512 EM
1503.872 1619.885
6 -0.11771702D+05 66.6374447 0.0056290 1402.308 2859.611 EM
1546.740 1517.340
7 -0.11713899D+05 57.8032046 0.0049104 1307.475 3023.400 EM
1584.429 1410.695
8 -0.11664759D+05 49.1397246 0.0041950 1227.092 3177.776 EM
1614.975 1306.158
9 -0.11625171D+05 39.5880119 0.0033938 1162.950 3316.559 EM
1637.063 1209.428
10 -0.11595436D+05 29.7345394 0.0025578 1115.004 3436.205 EM
1650.310 1124.482
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.22493314D+05 0.0000000 0.0000000 1384.122 264.936 EM
5286.835 390.106
2 -0.12297743D+05 ************ 0.4532712 1382.409 268.572 EM
5290.401 384.618
3 -0.12265702D+05 32.0416763 0.0026055 1385.294 281.850 EM
5273.734 385.122
4 -0.12241817D+05 23.8849078 0.0019473 1391.186 303.908 EM
5241.516 389.390
5 -0.12220416D+05 21.4009166 0.0017482 1398.549 335.180 EM
5195.610 396.661
6 -0.12200206D+05 20.2101899 0.0016538 1406.048 376.311 EM
5137.411 406.230
7 -0.12180689D+05 19.5164930 0.0015997 1412.560 427.982 EM
5068.176 417.282
8 -0.12161228D+05 19.4612334 0.0015977 1417.133 490.979 EM
4988.845 429.044
9 -0.12141041D+05 20.1871421 0.0016600 1418.943 566.231 EM
4899.951 440.876
10 -0.12119399D+05 21.6420211 0.0017826 1417.276 654.747 EM
4801.718 452.260
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.17934675D+05 0.0000000 0.0000000 2025.666 1340.360 EM
1278.768 2681.206
2 -0.11874325D+05 6060.3505521 0.3379125 2179.437 1276.004 EM
1236.544 2634.014
3 -0.11784574D+05 89.7507540 0.0075584 2346.412 1211.104 EM
1191.011 2577.474
4 -0.11728031D+05 56.5432131 0.0047981 2511.613 1152.942 EM
1141.606 2519.839
5 -0.11685120D+05 42.9104241 0.0036588 2666.554 1104.574 EM
1091.440 2463.431
6 -0.11651803D+05 33.3172388 0.0028513 2805.626 1067.401 EM
1043.762 2409.212
7 -0.11626643D+05 25.1598571 0.0021593 2925.787 1041.677 EM
1000.959 2357.577
8 -0.11608382D+05 18.2608484 0.0015706 3026.389 1026.786 EM
964.274 2308.551
9 -0.11595559D+05 12.8229855 0.0011046 3108.666 1021.529 EM
933.886 2261.919
10 -0.11586680D+05 8.8791858 0.0007657 3175.018 1024.409 EM
909.208 2217.365
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.31999663D+05 0.0000000 0.0000000 517.016 6377.413 EM
217.029 214.542
2 -0.12248464D+05 ************ 0.6172315 538.748 6352.953 EM
167.355 266.943
3 -0.12177439D+05 71.0248090 0.0057987 576.693 6299.423 EM
125.449 324.435
4 -0.12121636D+05 55.8036185 0.0045825 625.181 6234.829 EM
89.189 376.801
5 -0.12081084D+05 40.5517139 0.0033454 682.493 6166.462 EM
60.559 416.485
6 -0.12054099D+05 26.9851123 0.0022337 747.759 6094.583 EM
39.990 443.668
7 -0.12034626D+05 19.4730659 0.0016155 820.602 6017.280 EM
26.064 462.055
8 -0.12018438D+05 16.1878584 0.0013451 901.037 5932.964 EM
16.911 475.088
9 -0.12003508D+05 14.9301037 0.0012423 989.286 5840.667 EM
10.972 485.075
10 -0.11988823D+05 14.6847580 0.0012234 1085.626 5739.801 EM
7.138 493.435
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.16956775D+05 0.0000000 0.0000000 6714.882 119.013 EM
16.932 475.173
2 -0.11864532D+05 5092.2425718 0.3003073 6644.182 149.299 EM
18.490 514.030
3 -0.11701526D+05 163.0068109 0.0137390 6572.347 170.881 EM
21.246 561.526
4 -0.11657283D+05 44.2425302 0.0037809 6507.082 197.157 EM
25.100 596.661
5 -0.11630480D+05 26.8032315 0.0022993 6443.115 228.224 EM
30.113 624.548
6 -0.11608238D+05 22.2418134 0.0019124 6380.049 262.865 EM
36.556 646.531
7 -0.11589585D+05 18.6532431 0.0016069 6318.613 299.832 EM
44.674 662.881
8 -0.11573889D+05 15.6957318 0.0013543 6259.367 338.006 EM
54.548 674.079
9 -0.11560486D+05 13.4026217 0.0011580 6202.670 376.430 EM
66.027 680.873
10 -0.11548952D+05 11.5345154 0.0009978 6148.822 414.280 EM
78.717 684.181
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.18366963D+05 0.0000000 0.0000000 6635.654 29.297 EM
318.595 342.455
2 -0.12019953D+05 6347.0104204 0.3455667 6617.421 27.530 EM
304.716 376.333
3 -0.11854177D+05 165.7756150 0.0137917 6562.135 30.817 EM
275.377 457.672
4 -0.11744044D+05 110.1332702 0.0092907 6487.955 40.400 EM
260.761 536.884
5 -0.11687277D+05 56.7664186 0.0048336 6406.249 56.852 EM
259.690 603.210
6 -0.11648239D+05 39.0378349 0.0033402 6320.454 79.988 EM
265.817 659.741
7 -0.11615674D+05 32.5651287 0.0027957 6235.552 108.458 EM
275.438 706.552
8 -0.11589505D+05 26.1689257 0.0022529 6156.971 140.024 EM
286.479 742.527
9 -0.11570303D+05 19.2023777 0.0016569 6087.590 172.579 EM
297.621 768.210
10 -0.11556789D+05 13.5141960 0.0011680 6027.371 204.860 EM
308.050 785.719
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.20130167D+05 0.0000000 0.0000000 6670.381 62.837 EM
159.754 433.028
2 -0.11753307D+05 8376.8594808 0.4161346 6594.257 102.348 EM
205.356 424.039
3 -0.11689485D+05 63.8224164 0.0054302 6514.192 147.144 EM
241.651 423.013
4 -0.11651629D+05 37.8557889 0.0032384 6441.981 193.386 EM
271.639 418.994
5 -0.11623247D+05 28.3823658 0.0024359 6379.334 237.999 EM
294.934 413.733
6 -0.11601328D+05 21.9185172 0.0018857 6325.503 279.072 EM
311.054 410.370
7 -0.11584733D+05 16.5950973 0.0014304 6279.058 315.749 EM
320.284 410.909
8 -0.11572298D+05 12.4347936 0.0010734 6238.348 348.033 EM
323.609 416.010
9 -0.11562720D+05 9.5780180 0.0008277 6201.772 376.475 EM
322.333 425.419
10 -0.11554911D+05 7.8093006 0.0006754 6167.973 401.837 EM
317.767 438.423
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.31761520D+05 0.0000000 0.0000000 3407.498 3875.224 EM
21.839 21.439
2 -0.12412484D+05 ************ 0.6091974 3356.092 3924.334 EM
22.004 23.570
3 -0.12316886D+05 95.5987198 0.0077018 3342.528 3930.561 EM
23.414 29.497
4 -0.12243063D+05 73.8231593 0.0059937 3352.008 3901.367 EM
26.908 45.717
5 -0.12154785D+05 88.2777962 0.0072104 3378.216 3828.848 EM
32.369 86.568
6 -0.12030644D+05 124.1409568 0.0102133 3425.639 3712.693 EM
33.686 153.982
7 -0.11912044D+05 118.5999868 0.0098582 3506.272 3583.133 EM
26.749 209.847
8 -0.11837623D+05 74.4204241 0.0062475 3613.069 3455.873 EM
18.214 238.844
9 -0.11785985D+05 51.6379236 0.0043622 3729.966 3329.686 EM
12.052 254.295
10 -0.11743711D+05 42.2746685 0.0035869 3846.719 3205.599 EM
8.180 265.502
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
10 -0.11533535D+05 6.5992561 0.0005719 3902.722 1280.128 EM
706.428 1436.721
11 -0.11529789D+05 3.7461102 0.0003248 3944.793 1269.440 EM
686.197 1425.569
12 -0.11527487D+05 2.3018121 0.0001996 3979.365 1263.802 EM
670.172 1412.661
13 -0.11525884D+05 1.6037650 0.0001391 4008.959 1261.322 EM
656.739 1398.979
14 -0.11524615D+05 1.2686091 0.0001101 4035.313 1260.715 EM
644.815 1385.158
15 -0.11523513D+05 1.1019523 0.0000956 4059.576 1261.139 EM
633.710 1371.575
16 -0.11522500D+05 1.0126740 0.0000879 4082.492 1262.063 EM
623.010 1358.435
17 -0.11521541D+05 0.9596713 0.0000833 4104.534 1263.159 EM
612.477 1345.831
18 -0.11520616D+05 0.9244572 0.0000802 4125.996 1264.233 EM
601.985 1333.786
19 -0.11519718D+05 0.8984415 0.0000780 4147.061 1265.174 EM
591.478 1322.287
20 -0.11518840D+05 0.8773582 0.0000762 4167.839 1265.925 EM
580.938 1311.298
21 -0.11517982D+05 0.8588876 0.0000746 4188.392 1266.458 EM
570.373 1300.777
22 -0.11517140D+05 0.8416454 0.0000731 4208.754 1266.767 EM
559.803 1290.676
23 -0.11516315D+05 0.8247420 0.0000716 4228.940 1266.856 EM
549.252 1280.952
24 -0.11515508D+05 0.8075829 0.0000701 4248.951 1266.733 EM
538.752 1271.564
25 -0.11514718D+05 0.7897700 0.0000686 4268.779 1266.412 EM
528.331 1262.477
26 -0.11513947D+05 0.7710481 0.0000670 4288.414 1265.906 EM
518.021 1253.658
27 -0.11513195D+05 0.7512728 0.0000652 4307.839 1265.228 EM
507.851 1245.082
28 -0.11512465D+05 0.7303881 0.0000634 4327.036 1264.391 EM
497.847 1236.726
29 -0.11511757D+05 0.7084087 0.0000615 4345.987 1263.406 EM
488.037 1228.570
30 -0.11511071D+05 0.6854060 0.0000595 4364.674 1262.283 EM
478.443 1220.601
31 -0.11510410D+05 0.6614954 0.0000575 4383.077 1261.031 EM
469.087 1212.805
32 -0.11509773D+05 0.6368248 0.0000553 4401.182 1259.656 EM
459.989 1205.173
33 -0.11509161D+05 0.6115641 0.0000531 4418.970 1258.166 EM
451.164 1197.699
34 -0.11508575D+05 0.5858965 0.0000509 4436.430 1256.566 EM
442.628 1190.376
35 -0.11508015D+05 0.5600099 0.0000487 4453.548 1254.859 EM
434.392 1183.202
36 -0.11507481D+05 0.5340901 0.0000464 4470.314 1253.048 EM
426.465 1176.173
37 -0.11506973D+05 0.5083156 0.0000442 4486.720 1251.136 EM
418.855 1169.290
38 -0.11506490D+05 0.4828525 0.0000420 4502.760 1249.126 EM
411.565 1162.550
39 -0.11506032D+05 0.4578519 0.0000398 4518.429 1247.018 EM
404.598 1155.954
40 -0.11505599D+05 0.4334472 0.0000377 4533.727 1244.814 EM
397.956 1149.504
41 -0.11505189D+05 0.4097530 0.0000356 4548.651 1242.516 EM
391.635 1143.198
42 -0.11504802D+05 0.3868652 0.0000336 4563.202 1240.123 EM
385.635 1137.040
43 -0.11504437D+05 0.3648603 0.0000317 4577.384 1237.638 EM
379.950 1131.028
44 -0.11504094D+05 0.3437969 0.0000299 4591.199 1235.062 EM
374.575 1125.164
45 -0.11503770D+05 0.3237169 0.0000281 4604.653 1232.395 EM
369.502 1119.449
46 -0.11503465D+05 0.3046463 0.0000265 4617.751 1229.641 EM
364.726 1113.883
47 -0.11503179D+05 0.2865974 0.0000249 4630.500 1226.799 EM
360.236 1108.465
48 -0.11502909D+05 0.2695704 0.0000234 4642.906 1223.873 EM
356.024 1103.196
49 -0.11502656D+05 0.2535546 0.0000220 4654.978 1220.865 EM
352.082 1098.075
50 -0.11502417D+05 0.2385308 0.0000207 4666.723 1217.778 EM
348.398 1093.101
51 -0.11502193D+05 0.2244724 0.0000195 4678.150 1214.614 EM
344.963 1088.272
52 -0.11501981D+05 0.2113467 0.0000184 4689.267 1211.377 EM
341.768 1083.588
53 -0.11501782D+05 0.1991168 0.0000173 4700.083 1208.070 EM
338.801 1079.045
54 -0.11501594D+05 0.1877424 0.0000163 4710.606 1204.697 EM
336.053 1074.643
55 -0.11501417D+05 0.1771810 0.0000154 4720.846 1201.261 EM
333.514 1070.378
56 -0.11501250D+05 0.1673889 0.0000146 4730.812 1197.767 EM
331.173 1066.248
57 -0.11501091D+05 0.1583217 0.0000138 4740.510 1194.218 EM
329.021 1062.250
58 -0.11500942D+05 0.1499354 0.0000130 4749.951 1190.618 EM
327.049 1058.382
59 -0.11500799D+05 0.1421869 0.0000124 4759.143 1186.972 EM
325.246 1054.639
60 -0.11500664D+05 0.1350341 0.0000117 4768.094 1183.284 EM
323.603 1051.019
61 -0.11500536D+05 0.1284368 0.0000112 4776.811 1179.558 EM
322.112 1047.518
62 -0.11500414D+05 0.1223567 0.0000106 4785.304 1175.799 EM
320.763 1044.134
63 -0.11500297D+05 0.1167575 0.0000102 4793.580 1172.010 EM
319.549 1040.861
64 -0.11494469D+05 5.8273294 0.0005067 5288.902 963.333 QN
228.037 845.729
65 -0.11494469D+05 0.0000000 0.0000000 5288.902 963.333 EM
228.037 845.729
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
10 -0.11548952D+05 11.5345154 0.0009978 6148.822 414.280 EM
78.717 684.181
11 -0.11539099D+05 9.8525683 0.0008531 6098.104 450.841 EM
92.056 685.000
12 -0.11530852D+05 8.2476169 0.0007148 6050.734 485.520 EM
105.430 684.316
13 -0.11524120D+05 6.7315951 0.0005838 6006.817 517.876 EM
118.300 683.007
14 -0.11518751D+05 5.3686623 0.0004659 5966.322 547.647 EM
130.274 681.758
15 -0.11514539D+05 4.2124665 0.0003657 5929.099 574.745 EM
141.124 681.032
16 -0.11511259D+05 3.2802387 0.0002849 5894.922 599.226 EM
150.766 681.087
17 -0.11508702D+05 2.5567902 0.0002221 5863.519 621.248 EM
159.217 682.015
18 -0.11506693D+05 2.0092942 0.0001746 5834.612 641.029 EM
166.560 683.799
19 -0.11505092D+05 1.6003700 0.0001391 5807.929 658.810 EM
172.910 686.352
20 -0.11503797D+05 1.2957873 0.0001126 5783.222 674.832 EM
178.393 689.553
21 -0.11502729D+05 1.0675825 0.0000928 5760.270 689.321 EM
183.134 693.274
22 -0.11501835D+05 0.8944303 0.0000778 5738.880 702.482 EM
187.249 697.390
23 -0.11501074D+05 0.7607586 0.0000661 5718.883 714.493 EM
190.836 701.788
24 -0.11500418D+05 0.6555008 0.0000570 5700.136 725.509 EM
193.985 706.369
25 -0.11499847D+05 0.5709111 0.0000496 5682.517 735.663 EM
196.767 711.054
26 -0.11499346D+05 0.5016001 0.0000436 5665.918 745.064 EM
199.243 715.775
27 -0.11498902D+05 0.4438112 0.0000386 5650.250 753.807 EM
201.462 720.481
28 -0.11498507D+05 0.3949035 0.0000343 5635.432 761.971 EM
203.466 725.131
29 -0.11498154D+05 0.3529942 0.0000307 5621.397 769.622 EM
205.287 729.694
30 -0.11497837D+05 0.3167153 0.0000275 5608.084 776.816 EM
206.952 734.148
31 -0.11497552D+05 0.2850521 0.0000248 5595.441 783.600 EM
208.482 738.478
32 -0.11497295D+05 0.2572336 0.0000224 5583.419 790.015 EM
209.895 742.671
33 -0.11497062D+05 0.2326612 0.0000202 5571.977 796.095 EM
211.205 746.723
34 -0.11496852D+05 0.2108600 0.0000183 5561.077 801.870 EM
212.425 750.629
35 -0.11496660D+05 0.1914456 0.0000167 5550.684 807.365 EM
213.563 754.388
36 -0.11494678D+05 1.9816956 0.0001724 5336.238 951.546 FS
219.139 819.077
37 -0.11494472D+05 0.2059283 0.0000179 5298.108 958.048 FS
227.295 842.549
38 -0.11494470D+05 0.0028958 0.0000003 5290.293 963.370 FS
227.486 844.850
39 -0.11494469D+05 0.0001210 0.0000000 5289.315 963.047 FS
228.031 845.606
40 -0.11494469D+05 0.0000058 0.0000000 5288.963 963.341 FS
228.009 845.687
41 -0.11494469D+05 0.0000003 0.0000000 5288.925 963.314 FS
228.038 845.723
42 -0.11494469D+05 0.0000000 0.0000000 5288.907 963.330 FS
228.036 845.726
Beginning Time: 23:00:41
Ending Time: 23:00:41
Elapsed Time: 00:00:00
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