Actuarial Notes

CAS Exam 8 Fall 2016, Question 7

Study guide: Exam 8

A company is considering modifying its rating plan to include factors by age group. Below are statistics for the base model and for the new model.

Statistic Base Model New Model
Loglikelihood -750 -737.5
Deviance 500 475
Parameters 10 15
Data points 1,000,000 1,000,000

Part a (1 point)

Calculate the Akaike Information Criterion (AIC) and the Bayesian Information Criterion (BIC) for both models.

Part b (0.25 points)

Explain whether AIC or BIC is a more reliable test statistic as an indicator of whether to adopt the new model.

Part c (0.25 points)

Recommend and briefly justify whether to adopt the new model.

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Concepts tested

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