# How to interpret the results from random coefficient Poisson data analysis

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.

• Note that this is cross-posted from SO. Please delete the version on SO, @user40494. – gung Feb 21 '14 at 19:13
• Can you be more specific regarding what you need help interpreting? – gung Feb 21 '14 at 19:17
• 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 – user40494 Feb 21 '14 at 19:56
• 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?). – gung Feb 21 '14 at 20:01
• 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 – user40494 Feb 21 '14 at 20:08