Actuarial Notes

CAS Exam MAS-II Fall 2019, Question 13

Study guide: Exam MAS-II

You are reviewing a dataset of automobile accidents using a Linear Mixed Model.

  • Your null hypothesis is that the variance of the residuals remains constant across all four quarters (Quarter 1, Quarter 2, Quarter 3, and Quarter 4).
  • The alternative hypothesis is that the variance of the residuals varies by quarter.
  • To test your hypotheses, you use the log likelihood test using the chi-square distribution.

Determine the degrees of freedom used for the test.

  • A) 0.5 (average of 0 and 1)
  • B) 1.0
  • C) 2.0
  • D) 3.0
  • E) 4.0

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