Mplus VERSION 7.4
MUTHEN & MUTHEN
06/06/2016 5:37 PM
INPUT INSTRUCTIONS
title: logit regression for coalminers
data:
file =coalminer.dat;
variable:
names = x u w;
categorical = u;
freqweight = w;
define:
x = x/10;
analysis:
estimator = ml;
bootstrap = 500;
model:
u on x (beta);
model constraint:
new(or);
or = exp(beta);
output:
tech1 sampstat standardized
cinterval(bootstrap);
INPUT READING TERMINATED NORMALLY
logit regression for coalminers
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 18282
Number of dependent variables 1
Number of independent variables 1
Number of continuous latent variables 0
Observed dependent variables
Binary and ordered categorical (ordinal)
U
Observed independent variables
X
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
Number of bootstrap draws
Requested 500
Completed 500
Optimization algorithm EMA
Integration Specifications
Type STANDARD
Number of integration points 15
Dimensions of numerical integration 0
Adaptive quadrature ON
Link LOGIT
Cholesky OFF
Input data file(s)
coalminer.dat
Input data format FREE
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
U
Category 1 0.867 15855.000
Category 2 0.133 2427.000
SAMPLE STATISTICS
SAMPLE STATISTICS
Means
X
________
1 4.095
Covariances
X
________
X 1.401
Correlations
X
________
X 1.000
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
X 4.095 0.043 2.200 10.68% 2.700 3.700 4.200
18282.000 1.401 -1.029 6.200 6.21% 4.700 5.200
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 2
Loglikelihood
H0 Value -5996.378
Information Criteria
Akaike (AIC) 11996.756
Bayesian (BIC) 12012.383
Sample-Size Adjusted BIC 12006.027
(n* = (n + 2) / 24)
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
U ON
X 1.025 0.023 44.413 0.000
Thresholds
U$1 6.564 0.117 55.913 0.000
New/Additional Parameters
OR 2.787 0.064 43.259 0.000
LOGISTIC REGRESSION ODDS RATIO RESULTS
U ON
X 2.787
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
U ON
X 0.556 0.009 63.275 0.000
Thresholds
U$1 3.008 0.034 89.437 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
U ON
X 0.470 0.007 64.283 0.000
Thresholds
U$1 3.008 0.034 89.437 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
U ON
X 1.025 0.023 44.413 0.000
Thresholds
U$1 6.564 0.117 55.913 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
U 0.309 0.010 31.634 0.000
CONFIDENCE INTERVALS OF MODEL RESULTS
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
U ON
X 0.965 0.982 0.989 1.025 1.063 1.071 1.080
Thresholds
U$1 6.256 6.345 6.379 6.564 6.755 6.801 6.861
New/Additional Parameters
OR 2.624 2.669 2.688 2.787 2.896 2.919 2.945
CONFIDENCE INTERVALS OF STANDARDIZED MODEL RESULTS
STDYX Standardization
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
U ON
X 0.534 0.539 0.542 0.556 0.570 0.573 0.578
Thresholds
U$1 2.925 2.940 2.955 3.008 3.063 3.077 3.097
STDY Standardization
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
U ON
X 0.451 0.455 0.458 0.470 0.482 0.484 0.487
Thresholds
U$1 2.925 2.940 2.955 3.008 3.063 3.077 3.097
STD Standardization
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
U ON
X 0.965 0.982 0.989 1.025 1.063 1.071 1.080
Thresholds
U$1 6.256 6.345 6.379 6.564 6.755 6.801 6.861
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
TAU
U$1
________
1 2
NU
U X
________ ________
1 0 0
LAMBDA
U X
________ ________
U 0 0
X 0 0
THETA
U X
________ ________
U 0
X 0 0
ALPHA
U X
________ ________
1 0 0
BETA
U X
________ ________
U 0 1
X 0 0
PSI
U X
________ ________
U 0
X 0 0
PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS
NEW/ADDITIONAL PARAMETERS
OR
________
1 3
STARTING VALUES
TAU
U$1
________
1 1.877
NU
U X
________ ________
1 0.000 0.000
LAMBDA
U X
________ ________
U 1.000 0.000
X 0.000 1.000
THETA
U X
________ ________
U 0.000
X 0.000 0.000
ALPHA
U X
________ ________
1 0.000 0.000
BETA
U X
________ ________
U 0.000 0.000
X 0.000 0.000
PSI
U X
________ ________
U 1.000
X 0.000 0.701
STARTING VALUES FOR THE ADDITIONAL PARAMETERS
NEW/ADDITIONAL PARAMETERS
OR
________
1 0.500
DIAGRAM INFORMATION
Use View Diagram under the Diagram menu in the Mplus Editor to view the diagram.
If running Mplus from the Mplus Diagrammer, the diagram opens automatically.
Diagram output
c:\users\gryphon\desktop\chapter5\ex5.10.dgm
Beginning Time: 17:37:14
Ending Time: 17:37:14
Elapsed Time: 00:00:00
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