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:
District
factor: district of residence of policyholder (1 to 4): 4 is major cities.
Group
an ordered factor: group of car with levels <1 litre, 1–1.5 litre, 1.5–2 litre, >2 litre.
Age
an ordered factor: the age of the insured in 4 groups labelled <25, 25–29, 30–35, >35.
Holders
numbers of policyholders.
Claims
numbers 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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