Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:17 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a GMM with a
categorical distal outcome using automatic
starting values and random starts
DATA: FILE IS ex8.6.dat;
VARIABLE: NAMES ARE u y1-y4 x c;
USEV = y1-y4 u x;
CLASSES = c(2);
CATEGORICAL = u;
ANALYSIS: TYPE = MIXTURE;
MODEL:
%OVERALL%
i s | y1@0 y2@1 y3@2 y4@3;
i s ON x;
c ON x;
OUTPUT: TECH1 TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of a GMM with a
categorical distal outcome using automatic
starting values and random starts
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of dependent variables 5
Number of independent variables 1
Number of continuous latent variables 2
Number of categorical latent variables 1
Observed dependent variables
Continuous
Y1 Y2 Y3 Y4
Binary and ordered categorical (ordinal)
U
Observed independent variables
X
Continuous latent variables
I S
Categorical latent variables
C
Estimator MLR
Information matrix OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
Maximum number of iterations 100
Convergence criterion 0.100D-05
Optimization Specifications for the EM Algorithm
Maximum number of iterations 500
Convergence criteria
Loglikelihood change 0.100D-06
Relative loglikelihood change 0.100D-06
Derivative 0.100D-05
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
Number of M step iterations 1
M step convergence criterion 0.100D-05
Basis for M step termination ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
Number of M step iterations 1
M step convergence criterion 0.100D-05
Basis for M step termination ITERATION
Maximum value for logit thresholds 15
Minimum value for logit thresholds -15
Minimum expected cell size for chi-square 0.100D-01
Optimization algorithm EMA
Random Starts Specifications
Number of initial stage random starts 20
Number of final stage optimizations 4
Number of initial stage iterations 10
Initial stage convergence criterion 0.100D+01
Random starts scale 0.500D+01
Random seed for generating random starts 0
Link LOGIT
Input data file(s)
ex8.6.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U
Category 1 0.508 254.000
Category 2 0.492 246.000
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 0.878 -0.059 -5.532 0.20% -0.963 0.137 0.932
500.000 4.378 -0.347 6.468 0.20% 1.462 2.765
Y2 1.424 -0.039 -5.708 0.20% -1.123 0.493 1.479
500.000 7.832 -0.565 8.155 0.20% 2.293 3.938
Y3 1.810 -0.035 -8.172 0.20% -1.580 0.757 1.815
500.000 13.350 -0.731 12.291 0.20% 2.982 5.268
Y4 2.301 -0.044 -10.611 0.20% -1.902 1.136 2.328
500.000 19.964 -0.662 13.578 0.20% 3.615 6.533
X -0.060 -0.010 -3.054 0.20% -0.917 -0.326 -0.053
500.000 0.982 -0.281 2.546 0.20% 0.210 0.782
RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST LOGLIKELIHOOD VALUES
Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:
-3693.340 637345 19
-3693.340 573096 20
-3693.340 462953 7
-3693.340 127215 9
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 -3693.340
H0 Scaling Correction Factor 0.9835
for MLR
Information Criteria
Akaike (AIC) 7420.680
Bayesian (BIC) 7492.328
Sample-Size Adjusted BIC 7438.369
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit for the Binary and Ordered Categorical
(Ordinal) Outcomes
Pearson Chi-Square
Value 0.000
Degrees of freedom cannot be computed for this model part.
Likelihood Ratio Chi-Square
Value 0.000
Degrees of freedom cannot be computed for this model part.
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL
Latent
Classes
1 254.71408 0.50943
2 245.28592 0.49057
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 254.71405 0.50943
2 245.28595 0.49057
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 251 0.50200
2 249 0.49800
CLASSIFICATION QUALITY
Entropy 0.691
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.919 0.081
2 0.096 0.904
Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 0.906 0.094
2 0.083 0.917
Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)
1 2
1 2.264 0.000
2 -2.407 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Latent Class 1
I |
Y1 1.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 1.000 0.000 999.000 999.000
Y4 1.000 0.000 999.000 999.000
S |
Y1 0.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 2.000 0.000 999.000 999.000
Y4 3.000 0.000 999.000 999.000
I ON
X 1.014 0.095 10.628 0.000
S ON
X 0.313 0.045 6.952 0.000
S WITH
I 0.007 0.051 0.132 0.895
Intercepts
Y1 0.000 0.000 999.000 999.000
Y2 0.000 0.000 999.000 999.000
Y3 0.000 0.000 999.000 999.000
Y4 0.000 0.000 999.000 999.000
I 0.063 0.147 0.426 0.670
S -0.060 0.063 -0.955 0.340
Thresholds
U$1 1.019 0.166 6.138 0.000
Residual Variances
Y1 0.608 0.072 8.425 0.000
Y2 0.554 0.044 12.640 0.000
Y3 0.433 0.051 8.490 0.000
Y4 0.593 0.103 5.788 0.000
I 1.202 0.148 8.138 0.000
S 0.415 0.049 8.534 0.000
Latent Class 2
I |
Y1 1.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 1.000 0.000 999.000 999.000
Y4 1.000 0.000 999.000 999.000
S |
Y1 0.000 0.000 999.000 999.000
Y2 1.000 0.000 999.000 999.000
Y3 2.000 0.000 999.000 999.000
Y4 3.000 0.000 999.000 999.000
I ON
X 1.014 0.095 10.628 0.000
S ON
X 0.313 0.045 6.952 0.000
S WITH
I 0.007 0.051 0.132 0.895
Intercepts
Y1 0.000 0.000 999.000 999.000
Y2 0.000 0.000 999.000 999.000
Y3 0.000 0.000 999.000 999.000
Y4 0.000 0.000 999.000 999.000
I 1.905 0.113 16.798 0.000
S 1.046 0.067 15.608 0.000
Thresholds
U$1 -0.982 0.195 -5.045 0.000
Residual Variances
Y1 0.608 0.072 8.425 0.000
Y2 0.554 0.044 12.640 0.000
Y3 0.433 0.051 8.490 0.000
Y4 0.593 0.103 5.788 0.000
I 1.202 0.148 8.138 0.000
S 0.415 0.049 8.534 0.000
Categorical Latent Variables
C#1 ON
X -1.095 0.191 -5.728 0.000
Intercepts
C#1 -0.019 0.167 -0.111 0.911
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.784E-03
(ratio of smallest to largest eigenvalue)
RESULTS IN PROBABILITY SCALE
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Latent Class 1
U
Category 1 0.735 0.032 22.713 0.000
Category 2 0.265 0.032 8.200 0.000
Latent Class 2
U
Category 1 0.273 0.039 7.064 0.000
Category 2 0.727 0.039 18.854 0.000
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
U
Category > 1 0.135 0.037 0.079 0.230
LOGISTIC REGRESSION ODDS RATIO RESULTS
95% C.I.
Estimate S.E. Lower 2.5% Upper 2.5%
Categorical Latent Variables
C#1 ON
X 0.334 0.064 0.230 0.486
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 1.095 0.191 5.728 0.000
Intercepts
C#2 0.019 0.167 0.111 0.911
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 2.990 0.572 2.056 4.350
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR LATENT CLASS 1
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
I S X
________ ________ ________
Y1 0 0 0
Y2 0 0 0
Y3 0 0 0
Y4 0 0 0
X 0 0 0
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 1
Y2 0 2
Y3 0 0 3
Y4 0 0 0 4
X 0 0 0 0 0
ALPHA
I S X
________ ________ ________
5 6 0
BETA
I S X
________ ________ ________
I 0 0 7
S 0 0 8
X 0 0 0
PSI
I S X
________ ________ ________
I 9
S 10 11
X 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS 2
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
I S X
________ ________ ________
Y1 0 0 0
Y2 0 0 0
Y3 0 0 0
Y4 0 0 0
X 0 0 0
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 1
Y2 0 2
Y3 0 0 3
Y4 0 0 0 4
X 0 0 0 0 0
ALPHA
I S X
________ ________ ________
12 13 0
BETA
I S X
________ ________ ________
I 0 0 7
S 0 0 8
X 0 0 0
PSI
I S X
________ ________ ________
I 9
S 10 11
X 0 0 0
PARAMETER SPECIFICATION FOR LATENT CLASS INDICATOR MODEL PART
LAMBDA(U)
C#1 C#2
________ ________
U 14 15
KAPPA(U) FOR LATENT CLASS 1
X
________
U 0
KAPPA(U) FOR LATENT CLASS 2
X
________
U 0
PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART
ALPHA(C)
C#1 C#2
________ ________
16 0
GAMMA(C)
X
________
C#1 17
C#2 0
STARTING VALUES FOR LATENT CLASS 1
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
I S X
________ ________ ________
Y1 1.000 0.000 0.000
Y2 1.000 1.000 0.000
Y3 1.000 2.000 0.000
Y4 1.000 3.000 0.000
X 0.000 0.000 1.000
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 2.189
Y2 0.000 3.916
Y3 0.000 0.000 6.675
Y4 0.000 0.000 0.000 9.982
X 0.000 0.000 0.000 0.000 0.000
ALPHA
I S X
________ ________ ________
0.905 0.466 0.000
BETA
I S X
________ ________ ________
I 0.000 0.000 0.000
S 0.000 0.000 0.000
X 0.000 0.000 0.000
PSI
I S X
________ ________ ________
I 4.283
S 0.000 1.085
X 0.000 0.000 0.491
STARTING VALUES FOR LATENT CLASS 2
NU
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
I S X
________ ________ ________
Y1 1.000 0.000 0.000
Y2 1.000 1.000 0.000
Y3 1.000 2.000 0.000
Y4 1.000 3.000 0.000
X 0.000 0.000 1.000
THETA
Y1 Y2 Y3 Y4 X
________ ________ ________ ________ ________
Y1 2.189
Y2 0.000 3.916
Y3 0.000 0.000 6.675
Y4 0.000 0.000 0.000 9.982
X 0.000 0.000 0.000 0.000 0.000
ALPHA
I S X
________ ________ ________
0.905 0.466 0.000
BETA
I S X
________ ________ ________
I 0.000 0.000 0.000
S 0.000 0.000 0.000
X 0.000 0.000 0.000
PSI
I S X
________ ________ ________
I 4.283
S 0.000 1.085
X 0.000 0.000 0.491
STARTING VALUES FOR LATENT CLASS INDICATOR MODEL PART
LAMBDA(U)
C#1 C#2
________ ________
U 0.968 -1.032
KAPPA(U) FOR LATENT CLASS 1
X
________
U 0.000
KAPPA(U) FOR LATENT CLASS 2
X
________
U 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 -0.48028960D+04 0.0000000 0.0000000 EM
2 -0.37335819D+04 1069.3140243 0.2226394 EM
3 -0.37230392D+04 10.5427689 0.0028238 EM
4 -0.37144392D+04 8.5999465 0.0023099 EM
5 -0.37087055D+04 5.7337337 0.0015436 EM
6 -0.37056528D+04 3.0526844 0.0008231 EM
7 -0.37040757D+04 1.5770832 0.0004256 EM
8 -0.37029981D+04 1.0776461 0.0002909 EM
9 -0.37019920D+04 1.0061092 0.0002717 EM
10 -0.37009339D+04 1.0580457 0.0002858 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.75939116D+04 0.0000000 0.0000000 EM
2 -0.37440862D+04 3849.8253366 0.5069621 EM
3 -0.37196525D+04 24.4337572 0.0065260 EM
4 -0.37147589D+04 4.8935354 0.0013156 EM
5 -0.37110978D+04 3.6611994 0.0009856 EM
6 -0.37079478D+04 3.1499922 0.0008488 EM
7 -0.37050261D+04 2.9216667 0.0007879 EM
8 -0.37022757D+04 2.7503561 0.0007423 EM
9 -0.36997672D+04 2.5085146 0.0006776 EM
10 -0.36976326D+04 2.1346688 0.0005770 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.10252810D+05 0.0000000 0.0000000 EM
2 -0.37444605D+04 6508.3491762 0.6347869 EM
3 -0.37364268D+04 8.0336510 0.0021455 EM
4 -0.37326975D+04 3.7293107 0.0009981 EM
5 -0.37294788D+04 3.2186713 0.0008623 EM
6 -0.37265055D+04 2.9733273 0.0007973 EM
7 -0.37237434D+04 2.7621382 0.0007412 EM
8 -0.37212406D+04 2.5027948 0.0006721 EM
9 -0.37190525D+04 2.1880442 0.0005880 EM
10 -0.37172015D+04 1.8510329 0.0004977 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.85015263D+04 0.0000000 0.0000000 EM
2 -0.37515782D+04 4749.9481045 0.5587171 EM
3 -0.37390000D+04 12.5781267 0.0033528 EM
4 -0.37366131D+04 2.3869602 0.0006384 EM
5 -0.37348461D+04 1.7669446 0.0004729 EM
6 -0.37333000D+04 1.5461376 0.0004140 EM
7 -0.37318520D+04 1.4480338 0.0003879 EM
8 -0.37304454D+04 1.4065280 0.0003769 EM
9 -0.37290442D+04 1.4012465 0.0003756 EM
10 -0.37276227D+04 1.4214576 0.0003812 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.69067408D+04 0.0000000 0.0000000 EM
2 -0.37449888D+04 3161.7519867 0.4577777 EM
3 -0.37414218D+04 3.5669610 0.0009525 EM
4 -0.37391426D+04 2.2792769 0.0006092 EM
5 -0.37373480D+04 1.7945501 0.0004799 EM
6 -0.37358225D+04 1.5255193 0.0004082 EM
7 -0.37344680D+04 1.3545240 0.0003626 EM
8 -0.37332223D+04 1.2456973 0.0003336 EM
9 -0.37320303D+04 1.1919546 0.0003193 EM
10 -0.37308390D+04 1.1913689 0.0003192 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.63634314D+04 0.0000000 0.0000000 EM
2 -0.37529772D+04 2610.4541381 0.4102274 EM
3 -0.37477353D+04 5.2419275 0.0013967 EM
4 -0.37467970D+04 0.9382653 0.0002504 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.71321615D+04 0.0000000 0.0000000 EM
2 -0.37597883D+04 3372.3731774 0.4728403 EM
3 -0.37362369D+04 23.5513826 0.0062640 EM
4 -0.37326169D+04 3.6200439 0.0009689 EM
5 -0.37288258D+04 3.7910601 0.0010157 EM
6 -0.37240796D+04 4.7462680 0.0012729 EM
7 -0.37184342D+04 5.6453650 0.0015159 EM
8 -0.37126607D+04 5.7734908 0.0015527 EM
9 -0.37079039D+04 4.7567953 0.0012812 EM
10 -0.37047336D+04 3.1703512 0.0008550 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.68390693D+04 0.0000000 0.0000000 EM
2 -0.37297284D+04 3109.3408780 0.4546439 EM
3 -0.37224713D+04 7.2571863 0.0019458 EM
4 -0.37168710D+04 5.6003014 0.0015045 EM
5 -0.37119812D+04 4.8897899 0.0013156 EM
6 -0.37077609D+04 4.2202490 0.0011369 EM
7 -0.37041328D+04 3.6281161 0.0009785 EM
8 -0.37010307D+04 3.1021117 0.0008375 EM
9 -0.36984712D+04 2.5594503 0.0006916 EM
10 -0.36965140D+04 1.9572223 0.0005292 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.74717093D+04 0.0000000 0.0000000 EM
2 -0.37907499D+04 3680.9593448 0.4926529 EM
3 -0.37445963D+04 46.1536485 0.0121753 EM
4 -0.37395686D+04 5.0277155 0.0013427 EM
5 -0.37364376D+04 3.1310261 0.0008373 EM
6 -0.37340953D+04 2.3422620 0.0006269 EM
7 -0.37322600D+04 1.8353008 0.0004915 EM
8 -0.37306630D+04 1.5969655 0.0004279 EM
9 -0.37290499D+04 1.6131463 0.0004324 EM
10 -0.37272565D+04 1.7933965 0.0004809 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.81782789D+04 0.0000000 0.0000000 EM
2 -0.37354244D+04 4442.8545237 0.5432506 EM
3 -0.37210061D+04 14.4183219 0.0038599 EM
4 -0.37147071D+04 6.2989200 0.0016928 EM
5 -0.37095528D+04 5.1543330 0.0013875 EM
6 -0.37052109D+04 4.3418615 0.0011705 EM
7 -0.37015982D+04 3.6127508 0.0009750 EM
8 -0.36987447D+04 2.8534742 0.0007709 EM
9 -0.36966664D+04 2.0782887 0.0005619 EM
10 -0.36952859D+04 1.3805336 0.0003735 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.65588059D+04 0.0000000 0.0000000 EM
2 -0.37517593D+04 2807.0465701 0.4279813 EM
3 -0.37464800D+04 5.2792983 0.0014072 EM
4 -0.37460008D+04 0.4792342 0.0001279 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 11
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.63919248D+04 0.0000000 0.0000000 EM
2 -0.37472373D+04 2644.6874149 0.4137545 EM
3 -0.37466305D+04 0.6068565 0.0001619 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 12
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.65578755D+04 0.0000000 0.0000000 EM
2 -0.37540545D+04 2803.8210778 0.4275502 EM
3 -0.37479885D+04 6.0659115 0.0016158 EM
4 -0.37463358D+04 1.6527793 0.0004410 EM
5 -0.37454814D+04 0.8543605 0.0002281 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 13
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.66390176D+04 0.0000000 0.0000000 EM
2 -0.39391979D+04 2699.8196524 0.4066595 EM
3 -0.37590105D+04 180.1874194 0.0457422 EM
4 -0.37477799D+04 11.2306177 0.0029877 EM
5 -0.37433609D+04 4.4190258 0.0011791 EM
6 -0.37400657D+04 3.2951925 0.0008803 EM
7 -0.37373832D+04 2.6824873 0.0007172 EM
8 -0.37354043D+04 1.9789320 0.0005295 EM
9 -0.37339964D+04 1.4078061 0.0003769 EM
10 -0.37329046D+04 1.0918632 0.0002924 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 14
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.11128360D+05 0.0000000 0.0000000 EM
2 -0.37543728D+04 7373.9873149 0.6626302 EM
3 -0.37458563D+04 8.5165685 0.0022684 EM
4 -0.37427581D+04 3.0981775 0.0008271 EM
5 -0.37401305D+04 2.6275778 0.0007020 EM
6 -0.37372086D+04 2.9219483 0.0007812 EM
7 -0.37338924D+04 3.3161510 0.0008873 EM
8 -0.37302519D+04 3.6405072 0.0009750 EM
9 -0.37264010D+04 3.8508819 0.0010323 EM
10 -0.37224675D+04 3.9334924 0.0010556 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 15
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.69250210D+04 0.0000000 0.0000000 EM
2 -0.37653046D+04 3159.7164495 0.4562754 EM
3 -0.37395912D+04 25.7133329 0.0068290 EM
4 -0.37388958D+04 0.6954299 0.0001860 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 16
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.71677112D+04 0.0000000 0.0000000 EM
2 -0.37196487D+04 3448.0625549 0.4810549 EM
3 -0.37129714D+04 6.6772790 0.0017951 EM
4 -0.37094244D+04 3.5469746 0.0009553 EM
5 -0.37075768D+04 1.8476792 0.0004981 EM
6 -0.37065885D+04 0.9882139 0.0002665 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 17
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.10727194D+05 0.0000000 0.0000000 EM
2 -0.37468752D+04 6980.3184194 0.6507124 EM
3 -0.37395386D+04 7.3365994 0.0019581 EM
4 -0.37374188D+04 2.1197666 0.0005669 EM
5 -0.37359110D+04 1.5077825 0.0004034 EM
6 -0.37342130D+04 1.6980322 0.0004545 EM
7 -0.37318997D+04 2.3133047 0.0006195 EM
8 -0.37285916D+04 3.3080687 0.0008864 EM
9 -0.37239964D+04 4.5952389 0.0012324 EM
10 -0.37181223D+04 5.8740403 0.0015773 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 18
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.10007561D+05 0.0000000 0.0000000 EM
2 -0.37456357D+04 6261.9252768 0.6257194 EM
3 -0.37406459D+04 4.9898037 0.0013322 EM
4 -0.37397168D+04 0.9291470 0.0002484 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.11081382D+05 0.0000000 0.0000000 EM
2 -0.37326195D+04 7348.7619986 0.6631630 EM
3 -0.37159500D+04 16.6695545 0.0044659 EM
4 -0.37073274D+04 8.6225816 0.0023204 EM
5 -0.37015857D+04 5.7416735 0.0015487 EM
6 -0.36980566D+04 3.5291519 0.0009534 EM
7 -0.36959745D+04 2.0820771 0.0005630 EM
8 -0.36947714D+04 1.2030694 0.0003255 EM
9 -0.36940964D+04 0.6749778 0.0001827 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.87960924D+04 0.0000000 0.0000000 EM
2 -0.37415221D+04 5054.5702445 0.5746381 EM
3 -0.37195576D+04 21.9645641 0.0058705 EM
4 -0.37129036D+04 6.6540127 0.0017889 EM
5 -0.37069356D+04 5.9679258 0.0016073 EM
6 -0.37020958D+04 4.8398854 0.0013056 EM
7 -0.36985881D+04 3.5076216 0.0009475 EM
8 -0.36962918D+04 2.2963343 0.0006209 EM
9 -0.36949152D+04 1.3766392 0.0003724 EM
10 -0.36941499D+04 0.7652756 0.0002071 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 19
9 -0.36940964D+04 0.6749778 0.0001827 EM
10 -0.36937307D+04 0.3657309 0.0000990 EM
11 -0.36935387D+04 0.1920551 0.0000520 EM
12 -0.36934401D+04 0.0985145 0.0000267 EM
13 -0.36933904D+04 0.0497897 0.0000135 EM
14 -0.36933654D+04 0.0249846 0.0000068 EM
15 -0.36933528D+04 0.0125272 0.0000034 EM
16 -0.36933465D+04 0.0063081 0.0000017 EM
17 -0.36933433D+04 0.0032033 0.0000009 EM
18 -0.36933417D+04 0.0016463 0.0000004 EM
19 -0.36933408D+04 0.0008589 0.0000002 EM
20 -0.36933404D+04 0.0004563 0.0000001 EM
21 -0.36933401D+04 0.0002475 0.0000001 EM
22 -0.36933400D+04 0.0001372 0.0000000 EM
23 -0.36933399D+04 0.0000779 0.0000000 EM
24 -0.36933399D+04 0.0000452 0.0000000 EM
25 -0.36933398D+04 0.0000269 0.0000000 EM
26 -0.36933398D+04 0.0000163 0.0000000 EM
27 -0.36933398D+04 0.0000101 0.0000000 EM
28 -0.36933398D+04 0.0000063 0.0000000 EM
29 -0.36933398D+04 0.0000040 0.0000000 EM
30 -0.36933398D+04 0.0000026 0.0000000 EM
31 -0.36933398D+04 0.0000017 0.0000000 EM
32 -0.36933398D+04 0.0000011 0.0000000 EM
33 -0.36933398D+04 0.0000007 0.0000000 EM
34 -0.36933398D+04 0.0000005 0.0000000 EM
35 -0.36933398D+04 0.0000008 0.0000000 FS
36 -0.36933398D+04 0.0000001 0.0000000 FS
37 -0.36933398D+04 0.0000000 0.0000000 FS
38 -0.36933398D+04 0.0000000 0.0000000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 20
10 -0.36941499D+04 0.7652756 0.0002071 EM
11 -0.36937494D+04 0.4004473 0.0001084 EM
12 -0.36935480D+04 0.2013936 0.0000545 EM
13 -0.36934483D+04 0.0997668 0.0000270 EM
14 -0.36933984D+04 0.0498474 0.0000135 EM
15 -0.36933728D+04 0.0256005 0.0000069 EM
16 -0.36933592D+04 0.0136735 0.0000037 EM
17 -0.36933515D+04 0.0076282 0.0000021 EM
18 -0.36933471D+04 0.0044342 0.0000012 EM
19 -0.36933444D+04 0.0026698 0.0000007 EM
20 -0.36933428D+04 0.0016527 0.0000004 EM
21 -0.36933417D+04 0.0010446 0.0000003 EM
22 -0.36933411D+04 0.0006703 0.0000002 EM
23 -0.36933406D+04 0.0004349 0.0000001 EM
24 -0.36933403D+04 0.0002842 0.0000001 EM
25 -0.36933402D+04 0.0001867 0.0000001 EM
26 -0.36933400D+04 0.0001232 0.0000000 EM
27 -0.36933399D+04 0.0000815 0.0000000 EM
28 -0.36933399D+04 0.0000540 0.0000000 EM
29 -0.36933399D+04 0.0000358 0.0000000 EM
30 -0.36933398D+04 0.0000238 0.0000000 EM
31 -0.36933398D+04 0.0000158 0.0000000 EM
32 -0.36933398D+04 0.0000105 0.0000000 EM
33 -0.36933398D+04 0.0000070 0.0000000 EM
34 -0.36933398D+04 0.0000047 0.0000000 EM
35 -0.36933398D+04 0.0000031 0.0000000 EM
36 -0.36933398D+04 0.0000021 0.0000000 EM
37 -0.36933398D+04 0.0000014 0.0000000 EM
38 -0.36933398D+04 0.0000024 0.0000000 FS
39 -0.36933398D+04 0.0000003 0.0000000 FS
40 -0.36933398D+04 0.0000001 0.0000000 FS
41 -0.36933398D+04 0.0000000 0.0000000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
10 -0.36952859D+04 1.3805336 0.0003735 EM
11 -0.36944437D+04 0.8422461 0.0002279 EM
12 -0.36939615D+04 0.4821972 0.0001305 EM
13 -0.36936946D+04 0.2668587 0.0000722 EM
14 -0.36935475D+04 0.1470729 0.0000398 EM
15 -0.36934650D+04 0.0825632 0.0000224 EM
16 -0.36934172D+04 0.0477713 0.0000129 EM
17 -0.36933886D+04 0.0285455 0.0000077 EM
18 -0.36933711D+04 0.0175479 0.0000048 EM
19 -0.36933601D+04 0.0110277 0.0000030 EM
20 -0.36933530D+04 0.0070439 0.0000019 EM
21 -0.36933485D+04 0.0045513 0.0000012 EM
22 -0.36933455D+04 0.0029648 0.0000008 EM
23 -0.36933436D+04 0.0019424 0.0000005 EM
24 -0.36933423D+04 0.0012779 0.0000003 EM
25 -0.36933414D+04 0.0008432 0.0000002 EM
26 -0.36933409D+04 0.0005576 0.0000002 EM
27 -0.36933405D+04 0.0003696 0.0000001 EM
28 -0.36933403D+04 0.0002451 0.0000001 EM
29 -0.36933401D+04 0.0001627 0.0000000 EM
30 -0.36933400D+04 0.0001081 0.0000000 EM
31 -0.36933399D+04 0.0000719 0.0000000 EM
32 -0.36933399D+04 0.0000478 0.0000000 EM
33 -0.36933399D+04 0.0000318 0.0000000 EM
34 -0.36933398D+04 0.0000212 0.0000000 EM
35 -0.36933398D+04 0.0000141 0.0000000 EM
36 -0.36933398D+04 0.0000241 0.0000000 FS
37 -0.36933398D+04 0.0000034 0.0000000 FS
38 -0.36933398D+04 0.0000005 0.0000000 FS
39 -0.36933398D+04 0.0000001 0.0000000 FS
40 -0.36933398D+04 0.0000000 0.0000000 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
10 -0.36965140D+04 1.9572223 0.0005292 EM
11 -0.36951637D+04 1.3503417 0.0003653 EM
12 -0.36943273D+04 0.8364014 0.0002264 EM
13 -0.36938554D+04 0.4719048 0.0001277 EM
14 -0.36936062D+04 0.2491297 0.0000674 EM
15 -0.36934793D+04 0.1269706 0.0000344 EM
16 -0.36934149D+04 0.0643205 0.0000174 EM
17 -0.36933818D+04 0.0331423 0.0000090 EM
18 -0.36933642D+04 0.0176335 0.0000048 EM
19 -0.36933544D+04 0.0097548 0.0000026 EM
20 -0.36933488D+04 0.0056107 0.0000015 EM
21 -0.36933455D+04 0.0033414 0.0000009 EM
22 -0.36933434D+04 0.0020474 0.0000006 EM
23 -0.36933421D+04 0.0012826 0.0000003 EM
24 -0.36933413D+04 0.0008169 0.0000002 EM
25 -0.36933408D+04 0.0005269 0.0000001 EM
26 -0.36933404D+04 0.0003427 0.0000001 EM
27 -0.36933402D+04 0.0002244 0.0000001 EM
28 -0.36933401D+04 0.0001476 0.0000000 EM
29 -0.36933400D+04 0.0000974 0.0000000 EM
30 -0.36933399D+04 0.0000644 0.0000000 EM
31 -0.36933399D+04 0.0000427 0.0000000 EM
32 -0.36933398D+04 0.0000283 0.0000000 EM
33 -0.36933398D+04 0.0000188 0.0000000 EM
34 -0.36933398D+04 0.0000125 0.0000000 EM
35 -0.36933398D+04 0.0000214 0.0000000 FS
36 -0.36933398D+04 0.0000030 0.0000000 FS
37 -0.36933398D+04 0.0000005 0.0000000 FS
38 -0.36933398D+04 0.0000001 0.0000000 FS
39 -0.36933398D+04 0.0000000 0.0000000 EM
Beginning Time: 23:17:39
Ending Time: 23:17:39
Elapsed Time: 00:00:00
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