Mplus VERSION 7.4
MUTHEN & MUTHEN
06/06/2016 10:07 AM
INPUT INSTRUCTIONS
title: Poisson Offset
data: file = claims.dat;
analysis: estimator=ml;
variable:
names are n c car1 car2 car3 age1 age2;
usevar are c car2 car3 age1 offset;
! car2: medium car
! car3: large car
! age1: first age group
count=c;
define: offset=log(n);
model: c on offset@1 car2 car3 age1;
output:
tech1 tech8;
INPUT READING TERMINATED NORMALLY
Poisson Offset
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 6
Number of dependent variables 1
Number of independent variables 4
Number of continuous latent variables 0
Observed dependent variables
Count
C
Observed independent variables
CAR2 CAR3 AGE1 OFFSET
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
Cholesky OFF
Input data file(s)
claims.dat
Input data format FREE
COUNT PROPORTION OF ZERO, MINIMUM AND MAXIMUM VALUES
C 0.000 1 101
WARNING: COUNT VARIABLE HAS LARGE VALUES.
IT MAY BE MORE APPROPRIATE TO TREAT SUCH VARIABLES AS CONTINUOUS.
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 4
Loglikelihood
H0 Value -16.464
Information Criteria
Akaike (AIC) 40.928
Bayesian (BIC) 40.095
Sample-Size Adjusted BIC 28.533
(n* = (n + 2) / 24)
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
C ON
OFFSET 1.000 0.000 999.000 999.000
CAR2 -0.693 0.128 -5.402 0.000
CAR3 -1.764 0.272 -6.478 0.000
AGE1 -1.320 0.136 -9.713 0.000
Intercepts
C -1.317 0.090 -14.585 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.439E-03
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
C#1 C CAR2 CAR3 AGE1
________ ________ ________ ________ ________
1 0 0 0 0 0
NU
OFFSET
________
1 0
LAMBDA
C#1 C CAR2 CAR3 AGE1
________ ________ ________ ________ ________
C#1 0 0 0 0 0
C 0 0 0 0 0
CAR2 0 0 0 0 0
CAR3 0 0 0 0 0
AGE1 0 0 0 0 0
OFFSET 0 0 0 0 0
LAMBDA
OFFSET
________
C#1 0
C 0
CAR2 0
CAR3 0
AGE1 0
OFFSET 0
THETA
C#1 C CAR2 CAR3 AGE1
________ ________ ________ ________ ________
C#1 0
C 0 0
CAR2 0 0 0
CAR3 0 0 0 0
AGE1 0 0 0 0 0
OFFSET 0 0 0 0 0
THETA
OFFSET
________
OFFSET 0
ALPHA
C#1 C CAR2 CAR3 AGE1
________ ________ ________ ________ ________
1 0 1 0 0 0
ALPHA
OFFSET
________
1 0
BETA
C#1 C CAR2 CAR3 AGE1
________ ________ ________ ________ ________
C#1 0 0 0 0 0
C 0 0 2 3 4
CAR2 0 0 0 0 0
CAR3 0 0 0 0 0
AGE1 0 0 0 0 0
OFFSET 0 0 0 0 0
BETA
OFFSET
________
C#1 0
C 0
CAR2 0
CAR3 0
AGE1 0
OFFSET 0
PSI
C#1 C CAR2 CAR3 AGE1
________ ________ ________ ________ ________
C#1 0
C 0 0
CAR2 0 0 0
CAR3 0 0 0 0
AGE1 0 0 0 0 0
OFFSET 0 0 0 0 0
PSI
OFFSET
________
OFFSET 0
STARTING VALUES
NU
C#1 C CAR2 CAR3 AGE1
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
OFFSET
________
1 0.000
LAMBDA
C#1 C CAR2 CAR3 AGE1
________ ________ ________ ________ ________
C#1 1.000 0.000 0.000 0.000 0.000
C 0.000 1.000 0.000 0.000 0.000
CAR2 0.000 0.000 1.000 0.000 0.000
CAR3 0.000 0.000 0.000 1.000 0.000
AGE1 0.000 0.000 0.000 0.000 1.000
OFFSET 0.000 0.000 0.000 0.000 0.000
LAMBDA
OFFSET
________
C#1 0.000
C 0.000
CAR2 0.000
CAR3 0.000
AGE1 0.000
OFFSET 1.000
THETA
C#1 C CAR2 CAR3 AGE1
________ ________ ________ ________ ________
C#1 0.000
C 0.000 0.000
CAR2 0.000 0.000 0.000
CAR3 0.000 0.000 0.000 0.000
AGE1 0.000 0.000 0.000 0.000 0.000
OFFSET 0.000 0.000 0.000 0.000 0.000
THETA
OFFSET
________
OFFSET 0.000
ALPHA
C#1 C CAR2 CAR3 AGE1
________ ________ ________ ________ ________
1 -20.000 4.239 0.000 0.000 0.000
ALPHA
OFFSET
________
1 0.000
BETA
C#1 C CAR2 CAR3 AGE1
________ ________ ________ ________ ________
C#1 0.000 0.000 0.000 0.000 0.000
C 0.000 0.000 0.000 0.000 0.000
CAR2 0.000 0.000 0.000 0.000 0.000
CAR3 0.000 0.000 0.000 0.000 0.000
AGE1 0.000 0.000 0.000 0.000 0.000
OFFSET 0.000 0.000 0.000 0.000 0.000
BETA
OFFSET
________
C#1 0.000
C 1.000
CAR2 0.000
CAR3 0.000
AGE1 0.000
OFFSET 0.000
PSI
C#1 C CAR2 CAR3 AGE1
________ ________ ________ ________ ________
C#1 0.000
C 0.000 0.000
CAR2 0.000 0.000 0.111
CAR3 0.000 0.000 0.000 0.111
AGE1 0.000 0.000 0.000 0.000 0.125
OFFSET 0.000 0.000 0.000 0.000 0.000
PSI
OFFSET
________
OFFSET 0.276
TECHNICAL 8 OUTPUT
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.41446532D+04 0.0000000 0.0000000 EM
2 -0.41446532D+04 0.0000000 0.0000000 EM
3 -0.41446532D+04 0.0000000 0.0000000 EM
4 -0.37903939D+04 354.2592317 0.0854738 EM
5 -0.23916513D+04 1398.7426247 0.3690230 EM
6 -0.90764090D+03 1484.0104097 0.6204961 EM
7 -0.22979257D+03 677.8483320 0.7468244 EM
8 -0.52851227D+02 176.9413427 0.7700046 EM
9 -0.19282440D+02 33.5687871 0.6351563 EM
10 -0.16496906D+02 2.7855339 0.1444596 EM
11 -0.16463799D+02 0.0331064 0.0020068 EM
12 -0.16463792D+02 0.0000073 0.0000004 EM
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\chapter6\ex6.10.dgm
Beginning Time: 10:07:43
Ending Time: 10:07:43
Elapsed Time: 00:00:00
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