Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:12 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a confirmatory LCA
with two categorical latent variables
DATA: FILE IS ex7.14.dat;
VARIABLE: NAMES ARE u1-u4 y1-y4 cu cy;
USEVARIABLES ARE u1-y4;
CLASSES = cu (2) cy (3);
CATEGORICAL = u1-u4;
ANALYSIS: TYPE = MIXTURE;
PARAMETERIZATION = LOGLINEAR;
MODEL:
%OVERALL%
cu WITH cy;
MODEL cu:
%cu#1%
[u1$1-u4$1];
%cu#2%
[u1$1-u4$1];
MODEL cy:
%cy#1%
[y1-y4];
%cy#2%
[y1-y4];
%cy#3%
[y1-y4];
OUTPUT: TECH1 TECH8;
*** WARNING in MODEL command
All variables are uncorrelated with all other variables within class.
Check that this is what is intended.
1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS
this is an example of a confirmatory LCA
with two categorical latent variables
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1000
Number of dependent variables 8
Number of independent variables 0
Number of continuous latent variables 0
Number of categorical latent variables 2
Observed dependent variables
Continuous
Y1 Y2 Y3 Y4
Binary and ordered categorical (ordinal)
U1 U2 U3 U4
Categorical latent variables
CU CY
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
Parameterization LOGLINEAR
Link LOGIT
Input data file(s)
ex7.14.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U1
Category 1 0.443 443.000
Category 2 0.557 557.000
U2
Category 1 0.427 427.000
Category 2 0.573 573.000
U3
Category 1 0.432 432.000
Category 2 0.568 568.000
U4
Category 1 0.476 476.000
Category 2 0.524 524.000
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
Y1 0.602 -0.247 -4.048 0.10% -0.839 0.273 0.755
1000.000 2.380 -0.520 4.914 0.10% 1.152 1.990
Y2 0.581 -0.198 -3.834 0.10% -0.882 0.266 0.680
1000.000 2.468 -0.438 5.571 0.10% 1.104 1.968
Y3 0.579 -0.206 -3.832 0.10% -0.877 0.230 0.677
1000.000 2.529 -0.572 4.810 0.10% 1.110 2.015
Y4 0.583 -0.112 -3.672 0.10% -0.881 0.218 0.658
1000.000 2.379 -0.517 4.652 0.10% 1.051 1.943
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:
-9141.129 285380 1
-9141.129 637345 19
-9141.129 608496 4
-9141.129 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 29
Loglikelihood
H0 Value -9141.129
H0 Scaling Correction Factor 1.0220
for MLR
Information Criteria
Akaike (AIC) 18340.257
Bayesian (BIC) 18482.582
Sample-Size Adjusted BIC 18390.477
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit for the Binary and Ordered Categorical
(Ordinal) Outcomes
Pearson Chi-Square
Value 10.624
Degrees of Freedom 2
P-Value 0.0049
Likelihood Ratio Chi-Square
Value 10.270
Degrees of Freedom 2
P-Value 0.0059
FINAL CLASS COUNTS AND PROPORTIONS FOR EACH LATENT CLASS VARIABLE
BASED ON THE ESTIMATED MODEL
Latent Class
Variable Class
CU 1 640.74005 0.64074
2 359.25995 0.35926
CY 1 335.95715 0.33596
2 433.52811 0.43353
3 230.51474 0.23051
CLASSIFICATION QUALITY
Entropy 0.651
LATENT CLASS INDICATOR MEANS AND PROBABILITIES FOR EACH LATENT CLASS
MEAN/PROBABILITY PROFILES FOR CU
Latent class
1 2
U1
Category 1 0.285 0.725
Category 2 0.715 0.275
U2
Category 1 0.254 0.735
Category 2 0.746 0.265
U3
Category 1 0.289 0.687
Category 2 0.711 0.313
U4
Category 1 0.318 0.757
Category 2 0.682 0.243
MEAN/PROBABILITY PROFILES FOR CY
Latent class
1 2 3
Y1 -0.925 1.149 1.798
Y2 -1.052 1.052 2.073
Y3 -1.069 1.086 2.028
Y4 -0.999 0.998 2.106
C-SPECIFIC CLASSIFICATION RESULTS
Classification Quality for CU
Entropy 0.479
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.850 0.150
2 0.176 0.824
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.914 0.086
2 0.287 0.713
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 2.368 0.000
2 -0.910 0.000
Classification Quality for CY
Entropy 0.755
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2 3
1 0.981 0.019 0.000
2 0.017 0.856 0.127
3 0.000 0.215 0.785
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2 3
1 0.978 0.022 0.000
2 0.015 0.875 0.110
3 0.000 0.244 0.756
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2 3
1 13.793 9.991 0.000
2 -2.014 2.072 0.000
3 -10.321 -1.130 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Parameters in the Overall Part of the Model (Parameters Equal in All of the Classes)
Variances
Y1 1.137 0.055 20.720 0.000
Y2 0.963 0.051 18.838 0.000
Y3 1.022 0.053 19.441 0.000
Y4 0.929 0.054 17.329 0.000
Parameters for Class-specific Model Parts of CU
Latent Class CU#1
Thresholds
U1$1 -0.920 0.206 -4.471 0.000
U2$1 -1.076 0.184 -5.848 0.000
U3$1 -0.900 0.139 -6.477 0.000
U4$1 -0.762 0.176 -4.331 0.000
Latent Class CU#2
Thresholds
U1$1 0.969 0.239 4.057 0.000
U2$1 1.020 0.337 3.032 0.002
U3$1 0.786 0.295 2.661 0.008
U4$1 1.139 0.288 3.955 0.000
Parameters for Class-specific Model Parts of CY
Latent Class CY#1
Means
Y1 -0.925 0.061 -15.232 0.000
Y2 -1.052 0.058 -18.207 0.000
Y3 -1.069 0.058 -18.395 0.000
Y4 -0.999 0.054 -18.431 0.000
Latent Class CY#2
Means
Y1 1.149 0.085 13.525 0.000
Y2 1.052 0.083 12.723 0.000
Y3 1.086 0.077 14.136 0.000
Y4 0.998 0.069 14.444 0.000
Latent Class CY#3
Means
Y1 1.798 0.081 22.160 0.000
Y2 2.073 0.104 19.884 0.000
Y3 2.028 0.114 17.771 0.000
Y4 2.106 0.148 14.256 0.000
Categorical Latent Variables
CU#1 WITH
CY#1 0.927 0.333 2.781 0.005
CY#2 1.078 0.363 2.973 0.003
Means
CU#1 -0.181 0.416 -0.435 0.663
CY#1 -0.151 0.261 -0.579 0.563
CY#2 -0.001 0.339 -0.002 0.998
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.513E-04
(ratio of smallest to largest eigenvalue)
RESULTS IN PROBABILITY SCALE
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Results for Class-specific Model Parts of CU
Latent Class CU#1
U1
Category 1 0.285 0.042 6.793 0.000
Category 2 0.715 0.042 17.053 0.000
U2
Category 1 0.254 0.035 7.288 0.000
Category 2 0.746 0.035 21.375 0.000
U3
Category 1 0.289 0.029 10.125 0.000
Category 2 0.711 0.029 24.900 0.000
U4
Category 1 0.318 0.038 8.336 0.000
Category 2 0.682 0.038 17.861 0.000
Latent Class CU#2
U1
Category 1 0.725 0.048 15.217 0.000
Category 2 0.275 0.048 5.771 0.000
U2
Category 1 0.735 0.066 11.213 0.000
Category 2 0.265 0.066 4.042 0.000
U3
Category 1 0.687 0.063 10.818 0.000
Category 2 0.313 0.063 4.931 0.000
U4
Category 1 0.757 0.053 14.320 0.000
Category 2 0.243 0.053 4.586 0.000
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 1
NU
Y1 Y2 Y3 Y4
________ ________ ________ ________
1 2 3 4
THETA
Y1 Y2 Y3 Y4
________ ________ ________ ________
Y1 5
Y2 0 6
Y3 0 0 7
Y4 0 0 0 8
PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 2
NU
Y1 Y2 Y3 Y4
________ ________ ________ ________
9 10 11 12
THETA
Y1 Y2 Y3 Y4
________ ________ ________ ________
Y1 5
Y2 0 6
Y3 0 0 7
Y4 0 0 0 8
PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 1 3
NU
Y1 Y2 Y3 Y4
________ ________ ________ ________
13 14 15 16
THETA
Y1 Y2 Y3 Y4
________ ________ ________ ________
Y1 5
Y2 0 6
Y3 0 0 7
Y4 0 0 0 8
PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 1
NU
Y1 Y2 Y3 Y4
________ ________ ________ ________
1 2 3 4
THETA
Y1 Y2 Y3 Y4
________ ________ ________ ________
Y1 5
Y2 0 6
Y3 0 0 7
Y4 0 0 0 8
PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 2
NU
Y1 Y2 Y3 Y4
________ ________ ________ ________
9 10 11 12
THETA
Y1 Y2 Y3 Y4
________ ________ ________ ________
Y1 5
Y2 0 6
Y3 0 0 7
Y4 0 0 0 8
PARAMETER SPECIFICATION FOR LATENT CLASS PATTERN 2 3
NU
Y1 Y2 Y3 Y4
________ ________ ________ ________
13 14 15 16
THETA
Y1 Y2 Y3 Y4
________ ________ ________ ________
Y1 5
Y2 0 6
Y3 0 0 7
Y4 0 0 0 8
PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART
TAU(U) FOR LATENT CLASS PATTERN 1 1
U1$1 U2$1 U3$1 U4$1
________ ________ ________ ________
17 18 19 20
TAU(U) FOR LATENT CLASS PATTERN 1 2
U1$1 U2$1 U3$1 U4$1
________ ________ ________ ________
17 18 19 20
TAU(U) FOR LATENT CLASS PATTERN 1 3
U1$1 U2$1 U3$1 U4$1
________ ________ ________ ________
17 18 19 20
TAU(U) FOR LATENT CLASS PATTERN 2 1
U1$1 U2$1 U3$1 U4$1
________ ________ ________ ________
21 22 23 24
TAU(U) FOR LATENT CLASS PATTERN 2 2
U1$1 U2$1 U3$1 U4$1
________ ________ ________ ________
21 22 23 24
TAU(U) FOR LATENT CLASS PATTERN 2 3
U1$1 U2$1 U3$1 U4$1
________ ________ ________ ________
21 22 23 24
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
CU#1 CU#2 CY#1 CY#2 CY#3
________ ________ ________ ________ ________
25 0 26 27 0
PSI(C)
CU#1 CU#2
________ ________
CY#1 28 0
CY#2 29 0
CY#3 0 0
STARTING VALUES FOR LATENT CLASS PATTERN 1 1
NU
Y1 Y2 Y3 Y4
________ ________ ________ ________
-0.941 -0.991 -1.011 -0.960
THETA
Y1 Y2 Y3 Y4
________ ________ ________ ________
Y1 1.190
Y2 0.000 1.234
Y3 0.000 0.000 1.265
Y4 0.000 0.000 0.000 1.189
STARTING VALUES FOR LATENT CLASS PATTERN 1 2
NU
Y1 Y2 Y3 Y4
________ ________ ________ ________
0.602 0.581 0.579 0.583
THETA
Y1 Y2 Y3 Y4
________ ________ ________ ________
Y1 1.190
Y2 0.000 1.234
Y3 0.000 0.000 1.265
Y4 0.000 0.000 0.000 1.189
STARTING VALUES FOR LATENT CLASS PATTERN 1 3
NU
Y1 Y2 Y3 Y4
________ ________ ________ ________
2.144 2.152 2.170 2.125
THETA
Y1 Y2 Y3 Y4
________ ________ ________ ________
Y1 1.190
Y2 0.000 1.234
Y3 0.000 0.000 1.265
Y4 0.000 0.000 0.000 1.189
STARTING VALUES FOR LATENT CLASS PATTERN 2 1
NU
Y1 Y2 Y3 Y4
________ ________ ________ ________
-0.941 -0.991 -1.011 -0.960
THETA
Y1 Y2 Y3 Y4
________ ________ ________ ________
Y1 1.190
Y2 0.000 1.234
Y3 0.000 0.000 1.265
Y4 0.000 0.000 0.000 1.189
STARTING VALUES FOR LATENT CLASS PATTERN 2 2
NU
Y1 Y2 Y3 Y4
________ ________ ________ ________
0.602 0.581 0.579 0.583
THETA
Y1 Y2 Y3 Y4
________ ________ ________ ________
Y1 1.190
Y2 0.000 1.234
Y3 0.000 0.000 1.265
Y4 0.000 0.000 0.000 1.189
STARTING VALUES FOR LATENT CLASS PATTERN 2 3
NU
Y1 Y2 Y3 Y4
________ ________ ________ ________
2.144 2.152 2.170 2.125
THETA
Y1 Y2 Y3 Y4
________ ________ ________ ________
Y1 1.190
Y2 0.000 1.234
Y3 0.000 0.000 1.265
Y4 0.000 0.000 0.000 1.189
STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART
TAU(U) FOR LATENT CLASS PATTERN 1 1
U1$1 U2$1 U3$1 U4$1
________ ________ ________ ________
-1.229 -1.294 -1.274 -1.096
TAU(U) FOR LATENT CLASS PATTERN 1 2
U1$1 U2$1 U3$1 U4$1
________ ________ ________ ________
-1.229 -1.294 -1.274 -1.096
TAU(U) FOR LATENT CLASS PATTERN 1 3
U1$1 U2$1 U3$1 U4$1
________ ________ ________ ________
-1.229 -1.294 -1.274 -1.096
TAU(U) FOR LATENT CLASS PATTERN 2 1
U1$1 U2$1 U3$1 U4$1
________ ________ ________ ________
0.771 0.706 0.726 0.904
TAU(U) FOR LATENT CLASS PATTERN 2 2
U1$1 U2$1 U3$1 U4$1
________ ________ ________ ________
0.771 0.706 0.726 0.904
TAU(U) FOR LATENT CLASS PATTERN 2 3
U1$1 U2$1 U3$1 U4$1
________ ________ ________ ________
0.771 0.706 0.726 0.904
STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
CU#1 CU#2 CY#1 CY#2 CY#3
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
PSI(C)
CU#1 CU#2
________ ________
CY#1 0.000 0.000
CY#2 0.000 0.000
CY#3 0.000 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 -0.92824009D+04 0.0000000 0.0000000 EM
2 -0.91576110D+04 124.7899328 0.0134437 EM
3 -0.91503867D+04 7.2242882 0.0007889 EM
4 -0.91481530D+04 2.2336979 0.0002441 EM
5 -0.91470078D+04 1.1452278 0.0001252 EM
6 -0.91462435D+04 0.7642924 0.0000836 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.16726956D+05 0.0000000 0.0000000 EM
2 -0.94065747D+04 7320.3816427 0.4376398 EM
3 -0.91791830D+04 227.3916914 0.0241737 EM
4 -0.91555998D+04 23.5832201 0.0025692 EM
5 -0.91504709D+04 5.1288480 0.0005602 EM
6 -0.91479209D+04 2.5500376 0.0002787 EM
7 -0.91463317D+04 1.5892273 0.0001737 EM
8 -0.91452704D+04 1.0612867 0.0001160 EM
9 -0.91445273D+04 0.7430667 0.0000813 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.23361116D+05 0.0000000 0.0000000 EM
2 -0.99619547D+04 ************ 0.5735668 EM
3 -0.95783193D+04 383.6353571 0.0385100 EM
4 -0.93692895D+04 209.0297611 0.0218232 EM
5 -0.93098642D+04 59.4253424 0.0063426 EM
6 -0.92757866D+04 34.0776194 0.0036604 EM
7 -0.92504241D+04 25.3624980 0.0027343 EM
8 -0.92321380D+04 18.2860688 0.0019768 EM
9 -0.92218473D+04 10.2906848 0.0011147 EM
10 -0.92171722D+04 4.6751687 0.0005070 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.16900314D+05 0.0000000 0.0000000 EM
2 -0.93469457D+04 7553.3686159 0.4469366 EM
3 -0.92411900D+04 105.7556906 0.0113145 EM
4 -0.92136663D+04 27.5237207 0.0029784 EM
5 -0.92053601D+04 8.3062139 0.0009015 EM
6 -0.92023230D+04 3.0370389 0.0003299 EM
7 -0.92009388D+04 1.3842784 0.0001504 EM
8 -0.92001971D+04 0.7416336 0.0000806 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.18625777D+05 0.0000000 0.0000000 EM
2 -0.10140996D+05 8484.7806598 0.4555397 EM
3 -0.99111877D+04 229.8082497 0.0226613 EM
4 -0.96090399D+04 302.1477624 0.0304855 EM
5 -0.92726354D+04 336.4044933 0.0350092 EM
6 -0.91642720D+04 108.3634124 0.0116864 EM
7 -0.91514311D+04 12.8409744 0.0014012 EM
8 -0.91485443D+04 2.8867725 0.0003154 EM
9 -0.91470639D+04 1.4803921 0.0001618 EM
10 -0.91460902D+04 0.9736641 0.0001064 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.14642864D+05 0.0000000 0.0000000 EM
2 -0.10104154D+05 4538.7099818 0.3099605 EM
3 -0.98360903D+04 268.0634787 0.0265300 EM
4 -0.94321924D+04 403.8979055 0.0410629 EM
5 -0.92024361D+04 229.7563287 0.0243587 EM
6 -0.91637215D+04 38.7145996 0.0042070 EM
7 -0.91566459D+04 7.0755275 0.0007721 EM
8 -0.91523452D+04 4.3007227 0.0004697 EM
9 -0.91489407D+04 3.4045270 0.0003720 EM
10 -0.91463981D+04 2.5425318 0.0002779 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.17794079D+05 0.0000000 0.0000000 EM
2 -0.96829255D+04 8111.1538329 0.4558344 EM
3 -0.93491301D+04 333.7953707 0.0344726 EM
4 -0.92336283D+04 115.5018291 0.0123543 EM
5 -0.91918361D+04 41.7922111 0.0045261 EM
6 -0.91758664D+04 15.9697006 0.0017374 EM
7 -0.91686009D+04 7.2654115 0.0007918 EM
8 -0.91640765D+04 4.5244536 0.0004935 EM
9 -0.91604379D+04 3.6386317 0.0003971 EM
10 -0.91572356D+04 3.2022687 0.0003496 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.21952265D+05 0.0000000 0.0000000 EM
2 -0.93505182D+04 ************ 0.5740522 EM
3 -0.92251907D+04 125.3274610 0.0134033 EM
4 -0.92144394D+04 10.7513801 0.0011654 EM
5 -0.92102102D+04 4.2291489 0.0004590 EM
6 -0.92071523D+04 3.0579093 0.0003320 EM
7 -0.92044255D+04 2.7267665 0.0002962 EM
8 -0.92018402D+04 2.5853239 0.0002809 EM
9 -0.91992931D+04 2.5471598 0.0002768 EM
10 -0.91966683D+04 2.6247338 0.0002853 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.18522056D+05 0.0000000 0.0000000 EM
2 -0.97489992D+04 8773.0568639 0.4736546 EM
3 -0.95325318D+04 216.4673435 0.0222041 EM
4 -0.93804033D+04 152.1285564 0.0159589 EM
5 -0.92904837D+04 89.9195939 0.0095859 EM
6 -0.92418866D+04 48.5970549 0.0052308 EM
7 -0.92078859D+04 34.0007562 0.0036790 EM
8 -0.91840070D+04 23.8788667 0.0025933 EM
9 -0.91691107D+04 14.8962878 0.0016220 EM
10 -0.91599934D+04 9.1172729 0.0009943 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.17338766D+05 0.0000000 0.0000000 EM
2 -0.94672785D+04 7871.4870852 0.4539820 EM
3 -0.93185875D+04 148.6910344 0.0157058 EM
4 -0.92994567D+04 19.1308326 0.0020530 EM
5 -0.92919466D+04 7.5100578 0.0008076 EM
6 -0.92858650D+04 6.0816347 0.0006545 EM
7 -0.92776838D+04 8.1811887 0.0008810 EM
8 -0.92636432D+04 14.0405836 0.0015134 EM
9 -0.92414949D+04 22.1482839 0.0023909 EM
10 -0.92172173D+04 24.2776187 0.0026270 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.16063724D+05 0.0000000 0.0000000 EM
2 -0.10145093D+05 5918.6311705 0.3684470 EM
3 -0.98978519D+04 247.2409177 0.0243705 EM
4 -0.97482671D+04 149.5848116 0.0151129 EM
5 -0.95798288D+04 168.4383079 0.0172788 EM
6 -0.94152910D+04 164.5378044 0.0171754 EM
7 -0.92977238D+04 117.5671786 0.0124868 EM
8 -0.92418264D+04 55.8974017 0.0060119 EM
9 -0.92256957D+04 16.1307295 0.0017454 EM
10 -0.92215934D+04 4.1022438 0.0004447 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.22592500D+05 0.0000000 0.0000000 EM
2 -0.94464080D+04 ************ 0.5818786 EM
3 -0.92175654D+04 228.8425330 0.0242253 EM
4 -0.91952850D+04 22.2804933 0.0024172 EM
5 -0.91850956D+04 10.1893542 0.0011081 EM
6 -0.91766279D+04 8.4676529 0.0009219 EM
7 -0.91695978D+04 7.0301619 0.0007661 EM
8 -0.91639374D+04 5.6603609 0.0006173 EM
9 -0.91594409D+04 4.4965619 0.0004907 EM
10 -0.91559296D+04 3.5112799 0.0003834 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.17755273D+05 0.0000000 0.0000000 EM
2 -0.93114299D+04 8443.8433563 0.4755682 EM
3 -0.92359846D+04 75.4452439 0.0081024 EM
4 -0.92148077D+04 21.1769257 0.0022929 EM
5 -0.91998428D+04 14.9648594 0.0016240 EM
6 -0.91858729D+04 13.9699389 0.0015185 EM
7 -0.91719518D+04 13.9211418 0.0015155 EM
8 -0.91601797D+04 11.7720903 0.0012835 EM
9 -0.91524138D+04 7.7658751 0.0008478 EM
10 -0.91482549D+04 4.1589156 0.0004544 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.23951351D+05 0.0000000 0.0000000 EM
2 -0.97075780D+04 ************ 0.5946960 EM
3 -0.93355268D+04 372.0512395 0.0383259 EM
4 -0.92051403D+04 130.3864335 0.0139667 EM
5 -0.91774210D+04 27.7193389 0.0030113 EM
6 -0.91720297D+04 5.3913018 0.0005875 EM
7 -0.91700834D+04 1.9463104 0.0002122 EM
8 -0.91686296D+04 1.4537868 0.0001585 EM
9 -0.91671443D+04 1.4852999 0.0001620 EM
10 -0.91654976D+04 1.6466627 0.0001796 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.21846730D+05 0.0000000 0.0000000 EM
2 -0.94033862D+04 ************ 0.5695747 EM
3 -0.92986802D+04 104.7059893 0.0111349 EM
4 -0.92719713D+04 26.7088861 0.0028723 EM
5 -0.92480367D+04 23.9346332 0.0025814 EM
6 -0.92270995D+04 20.9372189 0.0022640 EM
7 -0.92144577D+04 12.6417589 0.0013701 EM
8 -0.92092587D+04 5.1990179 0.0005642 EM
9 -0.92074621D+04 1.7965470 0.0001951 EM
10 -0.92067287D+04 0.7334374 0.0000797 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.20790631D+05 0.0000000 0.0000000 EM
2 -0.94351017D+04 ************ 0.5461849 EM
3 -0.92637814D+04 171.3202665 0.0181578 EM
4 -0.92331064D+04 30.6749526 0.0033113 EM
5 -0.92197443D+04 13.3620989 0.0014472 EM
6 -0.92120195D+04 7.7248855 0.0008379 EM
7 -0.92054200D+04 6.5994711 0.0007164 EM
8 -0.91972188D+04 8.2011831 0.0008909 EM
9 -0.91854665D+04 11.7522501 0.0012778 EM
10 -0.91707430D+04 14.7235336 0.0016029 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.24528381D+05 0.0000000 0.0000000 EM
2 -0.10033985D+05 ************ 0.5909235 EM
3 -0.96675101D+04 366.4753795 0.0365234 EM
4 -0.93702345D+04 297.2756564 0.0307500 EM
5 -0.92190919D+04 151.1425335 0.0161301 EM
6 -0.91894502D+04 29.6416777 0.0032152 EM
7 -0.91787256D+04 10.7246183 0.0011671 EM
8 -0.91723658D+04 6.3598102 0.0006929 EM
9 -0.91681587D+04 4.2071170 0.0004587 EM
10 -0.91651552D+04 3.0035235 0.0003276 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.25574924D+05 0.0000000 0.0000000 EM
2 -0.96356351D+04 ************ 0.6232390 EM
3 -0.93593940D+04 276.2410697 0.0286687 EM
4 -0.92522546D+04 107.1394520 0.0114473 EM
5 -0.92156796D+04 36.5749771 0.0039531 EM
6 -0.92063112D+04 9.3684063 0.0010166 EM
7 -0.92022367D+04 4.0744217 0.0004426 EM
8 -0.91986030D+04 3.6337565 0.0003949 EM
9 -0.91949001D+04 3.7028472 0.0004025 EM
10 -0.91911617D+04 3.7384630 0.0004066 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.19065634D+05 0.0000000 0.0000000 EM
2 -0.10022510D+05 9043.1239714 0.4743154 EM
3 -0.97525724D+04 269.9374755 0.0269331 EM
4 -0.95449206D+04 207.6517085 0.0212920 EM
5 -0.93938777D+04 151.0429384 0.0158244 EM
6 -0.93087524D+04 85.1253406 0.0090618 EM
7 -0.92746706D+04 34.0817298 0.0036613 EM
8 -0.92554916D+04 19.1790675 0.0020679 EM
9 -0.92361575D+04 19.3341119 0.0020889 EM
10 -0.92173253D+04 18.8321273 0.0020390 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.21691814D+05 0.0000000 0.0000000 EM
2 -0.99967159D+04 ************ 0.5391480 EM
3 -0.95666309D+04 430.0850415 0.0430226 EM
4 -0.92660035D+04 300.6274201 0.0314246 EM
5 -0.91700865D+04 95.9170096 0.0103515 EM
6 -0.91553838D+04 14.7026579 0.0016033 EM
7 -0.91512288D+04 4.1550439 0.0004538 EM
8 -0.91486136D+04 2.6151381 0.0002858 EM
9 -0.91465675D+04 2.0461474 0.0002237 EM
10 -0.91449413D+04 1.6261768 0.0001778 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.24299572D+05 0.0000000 0.0000000 EM
2 -0.10027966D+05 ************ 0.5873192 EM
3 -0.93483490D+04 679.6166254 0.0677721 EM
4 -0.92240072D+04 124.3418007 0.0133009 EM
5 -0.91936974D+04 30.3097876 0.0032860 EM
6 -0.91700178D+04 23.6796569 0.0025756 EM
7 -0.91566669D+04 13.3508768 0.0014559 EM
8 -0.91508807D+04 5.7862522 0.0006319 EM
9 -0.91482727D+04 2.6079613 0.0002850 EM
10 -0.91468030D+04 1.4696776 0.0001607 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
9 -0.91445273D+04 0.7430667 0.0000813 EM
10 -0.91439825D+04 0.5448233 0.0000596 EM
11 -0.91435650D+04 0.4174541 0.0000457 EM
12 -0.91432328D+04 0.3321852 0.0000363 EM
13 -0.91429606D+04 0.2722221 0.0000298 EM
14 -0.91427327D+04 0.2278925 0.0000249 EM
15 -0.91425391D+04 0.1936406 0.0000212 EM
16 -0.91423728D+04 0.1662321 0.0000182 EM
17 -0.91422291D+04 0.1437265 0.0000157 EM
18 -0.91421042D+04 0.1249073 0.0000137 EM
19 -0.91419952D+04 0.1089708 0.0000119 EM
20 -0.91418999D+04 0.0953562 0.0000104 EM
21 -0.91418162D+04 0.0836522 0.0000092 EM
22 -0.91417427D+04 0.0735443 0.0000080 EM
23 -0.91416779D+04 0.0647838 0.0000071 EM
24 -0.91416207D+04 0.0571696 0.0000063 EM
25 -0.91415702D+04 0.0505358 0.0000055 EM
26 -0.91415255D+04 0.0447443 0.0000049 EM
27 -0.91414858D+04 0.0396787 0.0000043 EM
28 -0.91414505D+04 0.0352403 0.0000039 EM
29 -0.91414192D+04 0.0313453 0.0000034 EM
30 -0.91413913D+04 0.0279218 0.0000031 EM
31 -0.91413664D+04 0.0249083 0.0000027 EM
32 -0.91413441D+04 0.0222519 0.0000024 EM
33 -0.91413242D+04 0.0199070 0.0000022 EM
34 -0.91413064D+04 0.0178342 0.0000020 EM
35 -0.91412904D+04 0.0159994 0.0000018 EM
36 -0.91412760D+04 0.0143732 0.0000016 EM
37 -0.91412631D+04 0.0129299 0.0000014 EM
38 -0.91411455D+04 0.1175588 0.0000129 FS
39 -0.91411315D+04 0.0140512 0.0000015 FS
40 -0.91411292D+04 0.0022180 0.0000002 FS
41 -0.91411288D+04 0.0004216 0.0000000 FS
42 -0.91411287D+04 0.0000877 0.0000000 FS
43 -0.91411287D+04 0.0000197 0.0000000 FS
44 -0.91411287D+04 0.0000047 0.0000000 FS
45 -0.91411287D+04 0.0000012 0.0000000 FS
46 -0.91411287D+04 0.0000003 0.0000000 FS
47 -0.91411287D+04 0.0000001 0.0000000 FS
48 -0.91411287D+04 0.0000000 0.0000000 FS
49 -0.91411287D+04 0.0000000 0.0000000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19
10 -0.91449413D+04 1.6261768 0.0001778 EM
11 -0.91436969D+04 1.2443865 0.0001361 EM
12 -0.91427938D+04 0.9031283 0.0000988 EM
13 -0.91421727D+04 0.6211137 0.0000679 EM
14 -0.91417656D+04 0.4070552 0.0000445 EM
15 -0.91415093D+04 0.2563467 0.0000280 EM
16 -0.91413527D+04 0.1565241 0.0000171 EM
17 -0.91412593D+04 0.0934376 0.0000102 EM
18 -0.91412044D+04 0.0549157 0.0000060 EM
19 -0.91411724D+04 0.0319531 0.0000035 EM
20 -0.91411540D+04 0.0184827 0.0000020 EM
21 -0.91411433D+04 0.0106591 0.0000012 EM
22 -0.91411372D+04 0.0061410 0.0000007 EM
23 -0.91411336D+04 0.0035391 0.0000004 EM
24 -0.91411316D+04 0.0020420 0.0000002 EM
25 -0.91411304D+04 0.0011804 0.0000001 EM
26 -0.91411297D+04 0.0006839 0.0000001 EM
27 -0.91411293D+04 0.0003975 0.0000000 EM
28 -0.91411291D+04 0.0002320 0.0000000 EM
29 -0.91411289D+04 0.0001362 0.0000000 EM
30 -0.91411289D+04 0.0000806 0.0000000 EM
31 -0.91411288D+04 0.0000483 0.0000000 EM
32 -0.91411288D+04 0.0000294 0.0000000 EM
33 -0.91411288D+04 0.0000183 0.0000000 EM
34 -0.91411288D+04 0.0000118 0.0000000 EM
35 -0.91411287D+04 0.0000079 0.0000000 EM
36 -0.91411287D+04 0.0000055 0.0000000 EM
37 -0.91411287D+04 0.0000041 0.0000000 EM
38 -0.91411287D+04 0.0000264 0.0000000 FS
39 -0.91411287D+04 0.0000035 0.0000000 FS
40 -0.91411287D+04 0.0000007 0.0000000 FS
41 -0.91411287D+04 0.0000001 0.0000000 FS
42 -0.91411287D+04 0.0000000 0.0000000 FS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
10 -0.91460902D+04 0.9736641 0.0001064 EM
11 -0.91453871D+04 0.7031759 0.0000769 EM
12 -0.91448456D+04 0.5414323 0.0000592 EM
13 -0.91444079D+04 0.4376815 0.0000479 EM
14 -0.91440418D+04 0.3661426 0.0000400 EM
15 -0.91437286D+04 0.3132117 0.0000343 EM
16 -0.91434569D+04 0.2717026 0.0000297 EM
17 -0.91432191D+04 0.2377682 0.0000260 EM
18 -0.91430099D+04 0.2092666 0.0000229 EM
19 -0.91428249D+04 0.1849238 0.0000202 EM
20 -0.91426610D+04 0.1639165 0.0000179 EM
21 -0.91425153D+04 0.1456672 0.0000159 EM
22 -0.91423856D+04 0.1297416 0.0000142 EM
23 -0.91422698D+04 0.1157966 0.0000127 EM
24 -0.91421663D+04 0.1035523 0.0000113 EM
25 -0.91420735D+04 0.0927756 0.0000101 EM
26 -0.91419902D+04 0.0832699 0.0000091 EM
27 -0.91419153D+04 0.0748683 0.0000082 EM
28 -0.91418479D+04 0.0674281 0.0000074 EM
29 -0.91417871D+04 0.0608268 0.0000067 EM
30 -0.91417321D+04 0.0549592 0.0000060 EM
31 -0.91416824D+04 0.0497344 0.0000054 EM
32 -0.91416373D+04 0.0450739 0.0000049 EM
33 -0.91415964D+04 0.0409096 0.0000045 EM
34 -0.91415592D+04 0.0371826 0.0000041 EM
35 -0.91415254D+04 0.0338414 0.0000037 EM
36 -0.91414945D+04 0.0308414 0.0000034 EM
37 -0.91414664D+04 0.0281434 0.0000031 EM
38 -0.91411760D+04 0.2903553 0.0000318 FS
39 -0.91411362D+04 0.0398723 0.0000044 FS
40 -0.91411302D+04 0.0060206 0.0000007 FS
41 -0.91411290D+04 0.0011488 0.0000001 FS
42 -0.91411288D+04 0.0002346 0.0000000 FS
43 -0.91411287D+04 0.0000495 0.0000000 FS
44 -0.91411287D+04 0.0000106 0.0000000 FS
45 -0.91411287D+04 0.0000023 0.0000000 FS
46 -0.91411287D+04 0.0000005 0.0000000 FS
47 -0.91411287D+04 0.0000001 0.0000000 FS
48 -0.91411287D+04 0.0000000 0.0000000 FS
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
6 -0.91462435D+04 0.7642924 0.0000836 EM
7 -0.91456586D+04 0.5849415 0.0000640 EM
8 -0.91451790D+04 0.4795673 0.0000524 EM
9 -0.91447707D+04 0.4082849 0.0000446 EM
10 -0.91444151D+04 0.3555801 0.0000389 EM
11 -0.91441009D+04 0.3141902 0.0000344 EM
12 -0.91438207D+04 0.2802369 0.0000306 EM
13 -0.91435692D+04 0.2514858 0.0000275 EM
14 -0.91433427D+04 0.2265720 0.0000248 EM
15 -0.91431380D+04 0.2046332 0.0000224 EM
16 -0.91429529D+04 0.1850999 0.0000202 EM
17 -0.91427853D+04 0.1675795 0.0000183 EM
18 -0.91426335D+04 0.1517897 0.0000166 EM
19 -0.91424960D+04 0.1375175 0.0000150 EM
20 -0.91423714D+04 0.1245949 0.0000136 EM
21 -0.91422586D+04 0.1128837 0.0000123 EM
22 -0.91421563D+04 0.1022668 0.0000112 EM
23 -0.91420636D+04 0.0926422 0.0000101 EM
24 -0.91419797D+04 0.0839190 0.0000092 EM
25 -0.91419037D+04 0.0760159 0.0000083 EM
26 -0.91418348D+04 0.0688586 0.0000075 EM
27 -0.91417725D+04 0.0623799 0.0000068 EM
28 -0.91417160D+04 0.0565179 0.0000062 EM
29 -0.91416647D+04 0.0512161 0.0000056 EM
30 -0.91416183D+04 0.0464227 0.0000051 EM
31 -0.91415762D+04 0.0420904 0.0000046 EM
32 -0.91415380D+04 0.0381758 0.0000042 EM
33 -0.91415034D+04 0.0346394 0.0000038 EM
34 -0.91414720D+04 0.0314449 0.0000034 EM
35 -0.91414434D+04 0.0285596 0.0000031 EM
36 -0.91411726D+04 0.2707644 0.0000296 FS
37 -0.91411361D+04 0.0365877 0.0000040 FS
38 -0.91411301D+04 0.0059327 0.0000006 FS
39 -0.91411290D+04 0.0011209 0.0000001 FS
40 -0.91411288D+04 0.0002275 0.0000000 FS
41 -0.91411287D+04 0.0000492 0.0000000 FS
42 -0.91411287D+04 0.0000114 0.0000000 FS
43 -0.91411287D+04 0.0000028 0.0000000 FS
44 -0.91411287D+04 0.0000007 0.0000000 FS
45 -0.91411287D+04 0.0000002 0.0000000 FS
46 -0.91411287D+04 0.0000001 0.0000000 FS
47 -0.91411287D+04 0.0000000 0.0000000 EM
Beginning Time: 23:12:56
Ending Time: 23:12:57
Elapsed Time: 00:00:01
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