Mplus VERSION 7.4
MUTHEN & MUTHEN
06/06/2016 5:37 PM
INPUT INSTRUCTIONS
title: probit regression for coalminers
data:
file =coalminer.dat;
variable:
names = x u w;
categorical = u;
freqweight = w;
define:
x = x/10;
analysis:
estimator = ml;
link = probit;
model:
u on x;
output:
tech1 sampstat standardized;
INPUT READING TERMINATED NORMALLY
probit regression for coalminers
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 18282
Number of patterns 18
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
Variables with special functions
Weight variable W
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 10
Minimum value for logit thresholds -10
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 PROBIT
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 11.11% 2.700 3.700 4.200
18.000 1.401 -1.029 6.200 11.11% 4.700 5.200
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 2
Loglikelihood
H0 Value -5990.405
Information Criteria
Akaike (AIC) 11984.811
Bayesian (BIC) 12000.438
Sample-Size Adjusted BIC 11994.082
(n* = (n + 2) / 24)
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
U ON
X 0.548 0.013 43.125 0.000
Thresholds
U$1 3.584 0.062 58.020 0.000
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
U ON
X 0.545 0.009 59.798 0.000
Thresholds
U$1 3.006 0.032 93.279 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
U ON
X 0.460 0.008 61.025 0.000
Thresholds
U$1 3.006 0.032 93.279 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
U ON
X 0.548 0.013 43.125 0.000
Thresholds
U$1 3.584 0.062 58.020 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
U 0.296 0.010 29.899 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.169E-02
(ratio of smallest to largest eigenvalue)
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
STARTING VALUES
TAU
U$1
________
1 1.043
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
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\ex5.11_part1.dgm
Beginning Time: 17:37:17
Ending Time: 17:37:17
Elapsed Time: 00:00:00
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