Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:22 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a logistic
regression for a categorical observed
dependent variable with two covariates
MONTECARLO:
NAMES = u1 x1 x3;
NOBSERVATIONS = 500;
NREPS = 1;
SEED = 53487;
GENERATE = u1(1);
CATEGORICAL = u1;
SAVE = ex3.5.dat;
MODEL POPULATION:
[x1-x3@0];
x1-x3@1;
u1 ON x1*1 x3*2;
[u1$1*1];
ANALYSIS:
ESTIMATOR = ML;
MODEL: u1 ON x1*1 x3*2;
[u1$1*1];
OUTPUT: TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of a logistic
regression for a categorical observed
dependent variable with two covariates
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of replications
Requested 1
Completed 1
Value of seed 53487
Number of dependent variables 1
Number of independent variables 2
Number of continuous latent variables 0
Observed dependent variables
Binary and ordered categorical (ordinal)
U1
Observed independent variables
X1 X3
Estimator ML
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-02
Relative loglikelihood change 0.100D-05
Derivative 0.100D-02
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-02
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-02
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
Integration Specifications
Type STANDARD
Number of integration points 15
Dimensions of numerical integration 0
Adaptive quadrature ON
Link LOGIT
Cholesky OFF
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means
X1 X3
________ ________
0.001 -0.042
Covariances
X1 X3
________ ________
X1 1.094
X3 0.028 0.957
Correlations
X1 X3
________ ________
X1 1.000
X3 0.028 1.000
MODEL FIT INFORMATION
Number of Free Parameters 3
Loglikelihood
H0 Value
Mean -202.620
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -202.620 -202.620
0.980 0.000 -202.620 -202.620
0.950 0.000 -202.620 -202.620
0.900 0.000 -202.620 -202.620
0.800 0.000 -202.620 -202.620
0.700 0.000 -202.620 -202.620
0.500 0.000 -202.620 -202.620
0.300 0.000 -202.620 -202.620
0.200 0.000 -202.620 -202.620
0.100 0.000 -202.620 -202.620
0.050 0.000 -202.620 -202.620
0.020 0.000 -202.620 -202.620
0.010 0.000 -202.620 -202.620
Information Criteria
Akaike (AIC)
Mean 411.240
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 411.240 411.240
0.980 0.000 411.240 411.240
0.950 0.000 411.240 411.240
0.900 0.000 411.240 411.240
0.800 0.000 411.240 411.240
0.700 0.000 411.240 411.240
0.500 0.000 411.240 411.240
0.300 0.000 411.240 411.240
0.200 0.000 411.240 411.240
0.100 0.000 411.240 411.240
0.050 0.000 411.240 411.240
0.020 0.000 411.240 411.240
0.010 0.000 411.240 411.240
Bayesian (BIC)
Mean 423.884
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 423.884 423.884
0.980 0.000 423.884 423.884
0.950 0.000 423.884 423.884
0.900 0.000 423.884 423.884
0.800 0.000 423.884 423.884
0.700 0.000 423.884 423.884
0.500 0.000 423.884 423.884
0.300 0.000 423.884 423.884
0.200 0.000 423.884 423.884
0.100 0.000 423.884 423.884
0.050 0.000 423.884 423.884
0.020 0.000 423.884 423.884
0.010 0.000 423.884 423.884
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 414.362
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 414.362 414.362
0.980 0.000 414.362 414.362
0.950 0.000 414.362 414.362
0.900 0.000 414.362 414.362
0.800 0.000 414.362 414.362
0.700 0.000 414.362 414.362
0.500 0.000 414.362 414.362
0.300 0.000 414.362 414.362
0.200 0.000 414.362 414.362
0.100 0.000 414.362 414.362
0.050 0.000 414.362 414.362
0.020 0.000 414.362 414.362
0.010 0.000 414.362 414.362
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
U1 ON
X1 1.000 1.0718 0.0000 0.1429 0.0052 1.000 1.000
X3 2.000 1.8386 0.0000 0.1795 0.0261 1.000 1.000
Thresholds
U1$1 1.000 1.0258 0.0000 0.1369 0.0007 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.314E+00
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
TAU
U1$1
________
3
NU
U1 X1 X3
________ ________ ________
0 0 0
LAMBDA
U1 X1 X3
________ ________ ________
U1 0 0 0
X1 0 0 0
X3 0 0 0
THETA
U1 X1 X3
________ ________ ________
U1 0
X1 0 0
X3 0 0 0
ALPHA
U1 X1 X3
________ ________ ________
0 0 0
BETA
U1 X1 X3
________ ________ ________
U1 0 1 2
X1 0 0 0
X3 0 0 0
PSI
U1 X1 X3
________ ________ ________
U1 0
X1 0 0
X3 0 0 0
STARTING VALUES
TAU
U1$1
________
1.000
NU
U1 X1 X3
________ ________ ________
0.000 0.000 0.000
LAMBDA
U1 X1 X3
________ ________ ________
U1 1.000 0.000 0.000
X1 0.000 1.000 0.000
X3 0.000 0.000 1.000
THETA
U1 X1 X3
________ ________ ________
U1 0.000
X1 0.000 0.000
X3 0.000 0.000 0.000
ALPHA
U1 X1 X3
________ ________ ________
0.000 0.000 0.000
BETA
U1 X1 X3
________ ________ ________
U1 0.000 1.000 2.000
X1 0.000 0.000 0.000
X3 0.000 0.000 0.000
PSI
U1 X1 X3
________ ________ ________
U1 1.000
X1 0.000 0.500
X3 0.000 0.000 0.500
POPULATION VALUES
TAU
U1$1
________
1.000
NU
U1 X1 X3
________ ________ ________
0.000 0.000 0.000
LAMBDA
U1 X1 X3
________ ________ ________
U1 1.000 0.000 0.000
X1 0.000 1.000 0.000
X3 0.000 0.000 1.000
THETA
U1 X1 X3
________ ________ ________
U1 0.000
X1 0.000 0.000
X3 0.000 0.000 0.000
ALPHA
U1 X1 X3
________ ________ ________
0.000 0.000 0.000
BETA
U1 X1 X3
________ ________ ________
U1 0.000 1.000 2.000
X1 0.000 0.000 0.000
X3 0.000 0.000 0.000
PSI
U1 X1 X3
________ ________ ________
U1 0.000
X1 0.000 1.000
X3 0.000 0.000 1.000
TECHNICAL 8 OUTPUT
TECHNICAL 8 OUTPUT FOR REPLICATION 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.20349987D+03 0.0000000 0.0000000 EM
2 -0.20262219D+03 0.8776872 0.0043130 EM
3 -0.20261995D+03 0.0022391 0.0000111 EM
4 -0.20261995D+03 0.0000001 0.0000000 EM
SAVEDATA INFORMATION
Order of variables
U1
X1
X3
Save file
ex3.5.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:22:35
Ending Time: 22:22:35
Elapsed Time: 00:00:00
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