Exam MAS-I Practice Question 168
Study guide: Exam MAS-I
Two Poisson GLMs are fitted to claim counts:
- Model 1: intercept, territory (4 levels) and vehicle age (continuous). Residual deviance 1,284.6.
- Model 2: everything in Model 1, plus vehicle use (3 levels) and the territory × vehicle use interaction. Residual deviance 1,265.8.
Both models use the Poisson dispersion \phi = 1. Use this excerpt of the chi-squared table, which gives the value c with P(\chi^2_{df} \le c) = p:
df |
p = 0.950 |
p = 0.975 |
p = 0.990 |
p = 0.995 |
|---|---|---|---|---|
| 2 | 5.991 | 7.378 | 9.210 | 10.597 |
| 3 | 7.815 | 9.348 | 11.345 | 12.838 |
| 4 | 9.488 | 11.143 | 13.277 | 14.860 |
| 5 | 11.070 | 12.833 | 15.086 | 16.750 |
| 6 | 12.592 | 14.449 | 16.812 | 18.548 |
| 7 | 14.067 | 16.013 | 18.475 | 20.278 |
| 8 | 15.507 | 17.535 | 20.090 | 21.955 |
| 9 | 16.919 | 19.023 | 21.666 | 23.589 |
| 10 | 18.307 | 20.483 | 23.209 | 25.188 |
| 12 | 21.026 | 23.337 | 26.217 | 28.300 |
| 15 | 24.996 | 27.488 | 30.578 | 32.801 |
Determine the range that contains the p-value of the likelihood ratio test of Model 1 against Model 2.
- A) Less than 0.005
- B) At least 0.005, but less than 0.010
- C) At least 0.010, but less than 0.025
- D) At least 0.025, but less than 0.050
- E) At least 0.050
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