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In this paper, we review and apply several approaches to model selection foranalysis of variance models which are used in a credibility and insurancecontext. The reversible jump algorithm is employed for model selection, whereposterior model probabilities are computed. We then apply this method toinsurance data from workers' compensation insurance schemes. The reversiblejump results are compared with the Deviance Information Criterion, and areshown to be consistent.

Discrimination for Two Way Models with Insurance Application