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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