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I have fitted random coefficient Poisson analysis in R. I have obtained the following results:

Generalized linear mixed model fit by maximum likelihood ['glmerMod']
Family: poisson ( log )

Formula: frequency ~ 1 + cc + ageveh + make + (1 | AREA) 

   Data: x 
      AIC       BIC    logLik  deviance 
1359.1477 1389.7370 -672.5739 1345.1477 

Random effects:
 Groups Name        Variance Std.Dev.
 AREA   (Intercept) 1.323    1.15 

Number of obs: 584, groups: AREA, 8

Fixed effects:
            Estimate Std. Error z value Pr(>|z|) 

(Intercept) -0.12902    0.44432  -0.290   0.7715 
ccL          0.05656    0.12371   0.457   0.6475
agevehO      0.02136    0.09264   0.231   0.8177
make2       -0.45454    0.20632  -2.203   0.0276 *
make3       -0.31799    0.21422  -1.484   0.1377 
make4       -0.29708    0.14469  -2.053   0.0401 *
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Correlation of Fixed Effects:
        (Intr) ccL    agevhO make2  make3
ccL      0.052         
agevehO -0.179 -0.232               
make2   -0.171 -0.007 -0.001 
make3   -0.156  0.022 -0.078  0.366     
make4   -0.300 -0.235  0.167  0.544  0.522

However I am unable to interpret the results.

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  • $\begingroup$ Note that this is cross-posted from SO. Please delete the version on SO, @user40494. $\endgroup$ – gung Feb 21 '14 at 19:13
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    $\begingroup$ Can you be more specific regarding what you need help interpreting? $\endgroup$ – gung Feb 21 '14 at 19:17
  • $\begingroup$ The estimates of the fixed and random effects, and also how to interprete the correlation of fixed effects? How can i conclude whether male or female have more (claim) frequency? @ gung $\endgroup$ – user40494 Feb 21 '14 at 19:56
  • $\begingroup$ Can you say more about your data? Eg, what are insgenF, insgenM, & insgenM? (The last 2 seem to be identical.) I would guess they have to do w/ sex, but there are only 2 sexes & you have 3 variables (& if they are dummies there were originally 4?). $\endgroup$ – gung Feb 21 '14 at 20:01
  • $\begingroup$ insgenF represents female and insgenM represents male.There are 2 variables.But when i fitted in R, it resulted into three which made me confused. @gung $\endgroup$ – user40494 Feb 21 '14 at 20:08

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