Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010 10:58 PM
INPUT INSTRUCTIONS
TITLE: mix13
a "full" model (analysis type "D"):
a 2-class growth mixture model with
5 u variables as indicators of a 2-class
categorical latent variable c,
5 y variables as indicators of 2
continuous growth factors,
1 x covariate influencing the c variable, and
1 w covariate influencing the growth factors
DATA: file is full102.dat;
VARIABLE: NAMES ARE y1 y2 y3 y4 y5 u1 u2 u3 u4 u5 x w;
USEV ARE y1 y2 y3 y4 y5 u1 u2 u3 u4 u5 x w;
CATEGORICAL = u1 - u5;
CLASSES = c(2);
ANALYSIS: TYPE = MIXTURE;
MITERATIONS = 25;
MODEL:
%OVERALL%
! c#1 BY u1*1 u2*1 u3*0 u4*0 u5*0;
! c#2 BY u1*0 u2*0 u3*-1 u4*1 u5*1;
[u1$1*-1 u2$1*-1 u3$1*0 u4$1*0 u5$1*0];
c#1 ON x;
! the above 3 statements define the latent class part
! of the model
intcpt BY y1-y5@1;
slope BY y1@0 y2@1 y3@2 y4@3 y5@4;
[y1-y5@0];
intcpt ON w;
slope ON w;
! the above 5 statements define the linear growth model for y.
! The y intercepts are held fixed and equal at 0. Given this,
! the mean, or rather intercept, of the intercept growth factor
! is free.
%c#1%
[intcpt*0.2];
[slope*0.6];
intcpt ON w;
slope ON w;
! the above 4 class 1 statements specify that
! the growth factor intercepts and regression slopes
! for w are allowed to be specific to class 1.
! The growth factor intercepts are given starting values
! to help find a 2-class solution
%c#2%
[u1$1*0 u2$1*0 u3$1*1 u4$1*-1 u5$1*-1];
[intcpt*1.4];
[slope*2.2];
intcpt ON w;
slope ON w;
! the above 4 class 1 statements specify that
! the growth factor intercepts and regression slopes
! for w are allowed to be specific to class 2.
! The growth factor intercepts are given starting values
! to help find a 2-class solution
OUTPUT: tech8;
INPUT READING TERMINATED NORMALLY
mix13
a "full" model (analysis type "D"):
a 2-class growth mixture model with
5 u variables as indicators of a 2-class
categorical latent variable c,
5 y variables as indicators of 2
continuous growth factors,
1 x covariate influencing the c variable, and
1 w covariate influencing the growth factors
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 400
Number of dependent variables 10
Number of independent variables 2
Number of continuous latent variables 2
Number of categorical latent variables 1
Observed dependent variables
Continuous
Y1 Y2 Y3 Y4 Y5
Binary and ordered categorical (ordinal)
U1 U2 U3 U4 U5
Observed independent variables
X W
Continuous latent variables
INTCPT SLOPE
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 25
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)
full102.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U1
Category 1 0.382 153.000
Category 2 0.618 247.000
U2
Category 1 0.447 179.000
Category 2 0.553 221.000
U3
Category 1 0.610 244.000
Category 2 0.390 156.000
U4
Category 1 0.410 164.000
Category 2 0.590 236.000
U5
Category 1 0.522 209.000
Category 2 0.477 191.000
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:
-4901.577 415931 10
-4901.577 unperturbed 0
THE MODEL ESTIMATION TERMINATED NORMALLY
TESTS OF MODEL FIT
Loglikelihood
H0 Value -4901.577
H0 Scaling Correction Factor 1.013
for MLR
Information Criteria
Number of Free Parameters 28
Akaike (AIC) 9859.154
Bayesian (BIC) 9970.915
Sample-Size Adjusted BIC 9882.069
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit for the Binary and Ordered Categorical
(Ordinal) Outcomes
Pearson Chi-Square
Value 29.834
Degrees of Freedom 20
P-Value 0.0726
Likelihood Ratio Chi-Square
Value 32.306
Degrees of Freedom 20
P-Value 0.0401
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL
Latent
Classes
1 166.71127 0.41678
2 233.28873 0.58322
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASS PATTERNS
BASED ON ESTIMATED POSTERIOR PROBABILITIES
Latent
Classes
1 166.71128 0.41678
2 233.28872 0.58322
CLASSIFICATION QUALITY
Entropy 0.899
CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 166 0.41500
2 234 0.58500
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.969 0.031
2 0.025 0.975
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Latent Class 1
INTCPT BY
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
Y5 1.000 0.000 999.000 999.000
SLOPE BY
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
Y5 4.000 0.000 999.000 999.000
INTCPT ON
W 0.793 0.116 6.807 0.000
SLOPE ON
W 0.133 0.050 2.679 0.007
SLOPE WITH
INTCPT -0.011 0.045 -0.238 0.812
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
Y5 0.000 0.000 999.000 999.000
INTCPT 0.176 0.104 1.697 0.090
SLOPE 0.633 0.046 13.901 0.000
Thresholds
U1$1 -1.368 0.202 -6.775 0.000
U2$1 -0.890 0.177 -5.038 0.000
U3$1 -0.226 0.162 -1.393 0.164
U4$1 0.435 0.164 2.657 0.008
U5$1 1.604 0.226 7.088 0.000
Residual Variances
Y1 0.958 0.109 8.778 0.000
Y2 1.081 0.101 10.663 0.000
Y3 1.064 0.090 11.811 0.000
Y4 1.034 0.098 10.587 0.000
Y5 0.973 0.154 6.315 0.000
INTCPT 1.072 0.125 8.579 0.000
SLOPE 0.208 0.024 8.803 0.000
Latent Class 2
INTCPT BY
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
Y5 1.000 0.000 999.000 999.000
SLOPE BY
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
Y5 4.000 0.000 999.000 999.000
INTCPT ON
W 0.685 0.090 7.630 0.000
SLOPE ON
W -0.010 0.040 -0.258 0.797
SLOPE WITH
INTCPT -0.011 0.045 -0.238 0.812
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
Y5 0.000 0.000 999.000 999.000
INTCPT 1.439 0.085 16.879 0.000
SLOPE 2.162 0.040 54.103 0.000
Thresholds
U1$1 0.043 0.134 0.324 0.746
U2$1 0.238 0.135 1.767 0.077
U3$1 0.988 0.150 6.568 0.000
U4$1 -0.999 0.153 -6.534 0.000
U5$1 -0.843 0.147 -5.738 0.000
Residual Variances
Y1 0.958 0.109 8.778 0.000
Y2 1.081 0.101 10.663 0.000
Y3 1.064 0.090 11.811 0.000
Y4 1.034 0.098 10.587 0.000
Y5 0.973 0.154 6.315 0.000
INTCPT 1.072 0.125 8.579 0.000
SLOPE 0.208 0.024 8.803 0.000
Categorical Latent Variables
C#1 ON
X -1.460 0.204 -7.149 0.000
Intercepts
C#1 -0.449 0.128 -3.510 0.000
RESULTS IN PROBABILITY SCALE
Latent Class 1
U1
Category 1 0.203 0.033 6.213 0.000
Category 2 0.797 0.033 24.403 0.000
U2
Category 1 0.291 0.036 7.986 0.000
Category 2 0.709 0.036 19.445 0.000
U3
Category 1 0.444 0.040 11.097 0.000
Category 2 0.556 0.040 13.906 0.000
U4
Category 1 0.607 0.039 15.551 0.000
Category 2 0.393 0.039 10.069 0.000
U5
Category 1 0.833 0.032 26.395 0.000
Category 2 0.167 0.032 5.305 0.000
Latent Class 2
U1
Category 1 0.511 0.033 15.288 0.000
Category 2 0.489 0.033 14.639 0.000
U2
Category 1 0.559 0.033 16.838 0.000
Category 2 0.441 0.033 13.271 0.000
U3
Category 1 0.729 0.030 24.500 0.000
Category 2 0.271 0.030 9.119 0.000
U4
Category 1 0.269 0.030 8.955 0.000
Category 2 0.731 0.030 24.306 0.000
U5
Category 1 0.301 0.031 9.733 0.000
Category 2 0.699 0.031 22.617 0.000
LATENT CLASS ODDS RATIO RESULTS
Latent Class 1 Compared to Latent Class 2
U1
Category > 1 4.102 1.013 4.048 0.000
U2
Category > 1 3.089 0.698 4.424 0.000
U3
Category > 1 3.367 0.760 4.429 0.000
U4
Category > 1 0.239 0.055 4.360 0.000
U5
Category > 1 0.086 0.024 3.629 0.000
LOGISTIC REGRESSION ODDS RATIO RESULTS
Categorical Latent Variables
C#1 ON
X 0.232
ALTERNATIVE PARAMETERIZATIONS FOR THE CATEGORICAL LATENT VARIABLE REGRESSION
Parameterization using Reference Class 1
C#2 ON
X 1.460 0.204 7.149 0.000
Intercepts
C#2 0.449 0.128 3.510 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.839E-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 -0.56301096D+04 0.0000000 0.0000000 171.529 228.471 EM
2 -0.49260504D+04 704.0592338 0.1250525 167.109 232.891 EM
3 -0.49034000D+04 22.6503496 0.0045981 166.463 233.537 EM
4 -0.49016720D+04 1.7280090 0.0003524 166.494 233.506 EM
5 -0.49015831D+04 0.0888744 0.0000181 166.591 233.409 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 1
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.22129644D+05 0.0000000 0.0000000 243.249 156.751 EM
2 -0.50632001D+04 ************ 0.7712028 234.864 165.136 EM
3 -0.49815003D+04 81.6997958 0.0161360 212.763 187.237 EM
4 -0.49407485D+04 40.7518083 0.0081806 193.940 206.060 EM
5 -0.49187163D+04 22.0321948 0.0044593 180.377 219.623 EM
6 -0.49060978D+04 12.6185447 0.0025654 172.833 227.167 EM
7 -0.49023392D+04 3.7585734 0.0007661 169.378 230.622 EM
8 -0.49017013D+04 0.6379019 0.0001301 167.876 232.124 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 2
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.10947874D+05 0.0000000 0.0000000 75.879 324.121 EM
2 -0.51386633D+04 5809.2104558 0.5306245 47.244 352.756 EM
3 -0.51093714D+04 29.2919515 0.0057003 46.602 353.398 EM
4 -0.50950592D+04 14.3121492 0.0028012 52.900 347.100 EM
5 -0.50769553D+04 18.1039808 0.0035532 67.164 332.836 EM
6 -0.50556491D+04 21.3061895 0.0041966 87.838 312.162 EM
7 -0.50332890D+04 22.3600549 0.0044228 112.366 287.634 EM
8 -0.50101655D+04 23.1234708 0.0045941 137.915 262.085 EM
9 -0.49868417D+04 23.3238893 0.0046553 162.257 237.743 EM
10 -0.49639297D+04 22.9119398 0.0045945 184.059 215.941 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 3
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.11348647D+05 0.0000000 0.0000000 81.783 318.217 EM
2 -0.50410756D+04 6307.5715478 0.5557994 109.701 290.299 EM
3 -0.49745783D+04 66.4972994 0.0131911 132.352 267.648 EM
4 -0.49321278D+04 42.4504417 0.0085335 148.439 251.561 EM
5 -0.49102786D+04 21.8492534 0.0044300 158.104 241.896 EM
6 -0.49032645D+04 7.0140439 0.0014284 162.838 237.162 EM
7 -0.49018748D+04 1.3897320 0.0002834 164.972 235.028 EM
8 -0.49016326D+04 0.2422568 0.0000494 165.929 234.071 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 4
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.20364105D+05 0.0000000 0.0000000 180.799 219.201 EM
2 -0.50713948D+04 ************ 0.7509640 179.798 220.202 EM
3 -0.49917725D+04 79.6222543 0.0157003 177.595 222.405 EM
4 -0.49313899D+04 60.3825964 0.0120964 172.834 227.166 EM
5 -0.49073774D+04 24.0125058 0.0048693 169.336 230.664 EM
6 -0.49021947D+04 5.1827332 0.0010561 167.768 232.232 EM
7 -0.49016290D+04 0.5657056 0.0001154 167.143 232.857 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 5
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.15558959D+05 0.0000000 0.0000000 264.167 135.833 EM
2 -0.51149247D+04 ************ 0.6712554 277.001 122.999 EM
3 -0.51001139D+04 14.8107629 0.0028956 276.831 123.169 EM
4 -0.50887966D+04 11.3172770 0.0022190 271.895 128.105 EM
5 -0.50647448D+04 24.0518390 0.0047264 260.080 139.920 EM
6 -0.50281136D+04 36.6311882 0.0072326 241.830 158.170 EM
7 -0.49872033D+04 40.9103445 0.0081363 220.992 179.008 EM
8 -0.49531230D+04 34.0802886 0.0068335 201.624 198.376 EM
9 -0.49288403D+04 24.2826762 0.0049025 186.059 213.941 EM
10 -0.49116985D+04 17.1418487 0.0034779 175.837 224.163 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 6
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.97917419D+04 0.0000000 0.0000000 49.922 350.078 EM
2 -0.50961407D+04 4695.6012317 0.4795471 57.811 342.189 EM
3 -0.50448173D+04 51.3233464 0.0100710 88.167 311.833 EM
4 -0.49896373D+04 55.1800469 0.0109380 116.687 283.313 EM
5 -0.49496033D+04 40.0339187 0.0080234 138.176 261.824 EM
6 -0.49206091D+04 28.9942878 0.0058579 152.334 247.666 EM
7 -0.49066812D+04 13.9278595 0.0028305 160.121 239.879 EM
8 -0.49025353D+04 4.1459288 0.0008450 163.756 236.244 EM
9 -0.49017494D+04 0.7858341 0.0001603 165.384 234.616 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 7
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.12691614D+05 0.0000000 0.0000000 179.228 220.772 EM
2 -0.50899589D+04 7601.6555695 0.5989510 193.746 206.254 EM
3 -0.50228322D+04 67.1266994 0.0131881 202.400 197.600 EM
4 -0.49609281D+04 61.9041122 0.0123245 212.669 187.331 EM
5 -0.49230578D+04 37.8702903 0.0076337 222.418 177.582 EM
6 -0.49067876D+04 16.2702288 0.0033049 228.475 171.525 EM
7 -0.49022872D+04 4.5003485 0.0009172 231.247 168.753 EM
8 -0.49016648D+04 0.6224157 0.0001270 232.414 167.586 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 8
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.16619999D+05 0.0000000 0.0000000 301.982 98.018 EM
2 -0.50852219D+04 ************ 0.6940299 275.594 124.406 EM
3 -0.50135272D+04 71.6947033 0.0140986 244.204 155.796 EM
4 -0.49719260D+04 41.6011626 0.0082978 218.540 181.460 EM
5 -0.49443635D+04 27.5624848 0.0055436 198.376 201.624 EM
6 -0.49233455D+04 21.0180605 0.0042509 183.362 216.638 EM
7 -0.49085232D+04 14.8222382 0.0030106 174.357 225.643 EM
8 -0.49028590D+04 5.6642250 0.0011540 170.061 229.939 EM
9 -0.49017822D+04 1.0768454 0.0002196 168.174 231.826 EM
10 -0.49016128D+04 0.1693211 0.0000345 167.354 232.646 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 9
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.10460822D+05 0.0000000 0.0000000 153.469 246.531 EM
2 -0.51317917D+04 5329.0304910 0.5094275 132.517 267.483 EM
3 -0.50879729D+04 43.8188522 0.0085387 136.524 263.476 EM
4 -0.50454781D+04 42.4947758 0.0083520 152.454 247.546 EM
5 -0.49951841D+04 50.2939311 0.0099681 173.152 226.848 EM
6 -0.49596117D+04 35.5724931 0.0071214 192.467 207.533 EM
7 -0.49357332D+04 23.8784851 0.0048146 208.929 191.071 EM
8 -0.49170469D+04 18.6862379 0.0037859 221.069 178.931 EM
9 -0.49055334D+04 11.5135317 0.0023416 227.812 172.188 EM
10 -0.49022190D+04 3.3143851 0.0006756 230.899 169.101 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE CLASS COUNTS ALGORITHM
1 -0.16575625D+05 0.0000000 0.0000000 134.241 265.759 EM
2 -0.51088721D+04 ************ 0.6917840 125.229 274.771 EM
3 -0.50661600D+04 42.7120181 0.0083604 133.450 266.550 EM
4 -0.50039168D+04 62.2432030 0.0122861 148.643 251.357 EM
5 -0.49420509D+04 61.8658897 0.0123635 157.567 242.433 EM
6 -0.49126749D+04 29.3760460 0.0059441 162.001 237.999 EM
7 -0.49033834D+04 9.2914657 0.0018913 164.488 235.512 EM
8 -0.49017908D+04 1.5926597 0.0003248 165.688 234.312 EM
9 -0.49016057D+04 0.1850992 0.0000378 166.244 233.756 EM
FINAL STAGE ITERATIONS
TECHNICAL 8 OUTPUT FOR UNPERTURBED STARTING VALUE SET
5 -0.49015831D+04 0.0888744 0.0000181 166.591 233.409 EM
6 -0.49015776D+04 0.0055326 0.0000011 166.653 233.347 EM
7 -0.49015771D+04 0.0005330 0.0000001 166.684 233.316 EM
8 -0.49015770D+04 0.0000714 0.0000000 166.699 233.301 EM
9 -0.49015770D+04 0.0000117 0.0000000 166.706 233.294 EM
10 -0.49015770D+04 0.0000021 0.0000000 166.709 233.291 EM
11 -0.49015770D+04 0.0000004 0.0000000 166.710 233.290 EM
12 -0.49015770D+04 0.0000001 0.0000000 166.711 233.289 EM
13 -0.49015770D+04 0.0000000 0.0000000 166.711 233.289 EM
14 -0.49015770D+04 0.0000000 0.0000000 166.711 233.289 EM
TECHNICAL 8 OUTPUT FOR STARTING VALUE SET 10
9 -0.49016057D+04 0.1850992 0.0000378 166.244 233.756 EM
10 -0.49015817D+04 0.0240153 0.0000049 166.499 233.501 EM
11 -0.49015778D+04 0.0038150 0.0000008 166.615 233.385 EM
12 -0.49015772D+04 0.0006863 0.0000001 166.668 233.332 EM
13 -0.49015770D+04 0.0001309 0.0000000 166.692 233.308 EM
14 -0.49015770D+04 0.0000256 0.0000000 166.703 233.297 EM
15 -0.49015770D+04 0.0000051 0.0000000 166.707 233.293 EM
16 -0.49015770D+04 0.0000010 0.0000000 166.710 233.290 EM
17 -0.49015770D+04 0.0000002 0.0000000 166.711 233.289 EM
18 -0.49015770D+04 0.0000000 0.0000000 166.711 233.289 EM
19 -0.49015770D+04 0.0000000 0.0000000 166.711 233.289 EM
20 -0.49015770D+04 0.0000000 0.0000000 166.711 233.289 EM
Beginning Time: 22:58:11
Ending Time: 22:58:12
Elapsed Time: 00:00:01
MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA 90066
Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com
Copyright (c) 1998-2010 Muthen & Muthen
Back to table of examples