CAS Exam MAS-II Fall 2019, Question 9
Study guide: Exam MAS-II
You are testing the relative efficiency of two types of gasoline in miles per gallon.
- You use six similar vehicles for your test.
- You perform the test on four different days.
- Each automobile only receives one of the two different types of gasoline.
- There is a random intercept associated with each automobile
i. - There is a random effect associated with each testing day
t.
Determine the best structure for the Linear Mixed Model that describes the relationship between the covariates and miles per gallon.
- A)
MPG_{ti} = \beta_0 + \beta_1 \times FUEL1_i + \varepsilon_{ti} - B)
MPG_{ti} = \beta_0 + \beta_1 \times FUEL1_i + u_{0i} + u_{1i} + \varepsilon_{ti} - C)
MPG_{ti} = \beta_0 + \beta_1 \times FUEL1_i + u_{0i} + u_{t0} + \varepsilon_{ti} - D)
MPG_{ti} = \beta_0 + \beta_1 \times FUEL1_i + \beta_2 \times TESTDAY_t + u_{0i} + \varepsilon_{ti} - E)
MPG_{ti} = \beta_0 + \beta_1 \times FUEL1_i + \beta_2 \times TESTDAY_t + u_{t0} + \varepsilon_{ti}
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