Actuarial Notes

Exam MAS-I Practice Question 103

Study guide: Exam MAS-I

A Poisson GLM for claim counts is fitted to 1,200 records and estimates 10 parameters. Its Pearson chi-square statistic is 2,856. For one rating-variable indicator the output shows \hat\beta = 0.085 with a standard error of 0.040, computed with the dispersion fixed at 1.

The model is refitted as a quasi-Poisson model, with the dispersion estimated by the Pearson statistic divided by its degrees of freedom.

Calculate the two-sided p-value of the Wald test of H_0: \beta = 0 for this indicator after the refit.

  • A) Less than 0.01
  • B) At least 0.01, but less than 0.05
  • C) At least 0.05, but less than 0.10
  • D) At least 0.10, but less than 0.25
  • E) At least 0.25

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