Generalized Linear Models w/ Examples in R, Solution to Problem 2.13

Question 2.13:
A study exposed sleeping people (males and females) of various ages to four different fire cues (a crackling noise, a shuffling noise, a flickering light, an unpleasant smell), and recorded the response time (in seconds) for the people to wake. Use the partially complete ANOVA table (Table 2.7) to answer the following questions.

Determine the degrees of freedom omitted from Table 2.7.
Determine how many observations were used in the analysis.
Find an unbiased estimate of  σ2 .
Determine which explanatory variables are statistically significant for predicting response time, using sequential F-tests.
The analysed data are for participants who actually woke during the experiment; some failed to wake at all and were omitted from the analysis. Explain how this affects the interpretation of the results.
Compute the aic for the three nested models implied by Table 2.7. What model is suggested by the aic?
Compute the bic for the three nested models implied by Table 2.7. What model is suggested by the bic?
Compute  R2  and the adjusted  R2  for the three models implied by Table 2.7. What model is suggested by the  R2  and the adjusted  R2 ?
Compare the models suggested by the anova table, the aic, the bic,  R2  and the adjusted  R2 . Comment.

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