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.
This data frame contains the following columns:
factor: district of residence of policyholder (1 to 4): 4 is major cities.
an ordered factor: group of car with levels <1 litre, 1–1.5 litre, 1.5–2 litre, >2 litre.
an ordered factor: the age of the insured in 4 groups labelled <25, 25–29, 30–35, >35.
numbers of policyholders.
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)