Insurance Numbers of Car Insurance claims The data given in data frame Insurance consist of the numbers of policyholders of an insurance company who were exposed to risk, and the numbers of car insurance claims made by those policyholders in the third quarter of 1973.
Insurance
This data frame contains the following columns:
Districtfactor: district of residence of policyholder (1 to 4): 4 is major cities.
Groupan ordered factor: group of car with levels <1 litre, 1–1.5 litre, 1.5–2 litre, >2 litre.
Agean ordered factor: the age of the insured in 4 groups labelled <25, 25–29, 30–35, >35.
Holdersnumbers of policyholders.
Claimsnumbers of claims
L. A. Baxter, S. M. Coutts and G. A. F. Ross (1980) Applications of linear models in motor insurance. Proceedings of the 21st International Congress of Actuaries, Zurich pp. 11–29.
M. Aitkin, D. Anderson, B. Francis and J. Hinde (1989) Statistical Modelling in GLIM. Oxford University Press.
Venables, W. N. and Ripley, B. D. (1999) Modern Applied Statistics with S-PLUS. Third Edition. Springer.
## main-effects fit as Poisson GLM with offset
glm(Claims ~ District + Group + Age + offset(log(Holders)),
data = Insurance, family = poisson)
# same via loglm
loglm(Claims ~ District + Group + Age + offset(log(Holders)),
data = Insurance)
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