Refer to Exercise 18 from Chapter 4 on the salamander count data.
(a) Compute deviance/df. What does this value suggest about the model?
(b) Examine the standardized residuals and perform an influence analysis. Interpret the results.
Exercise 18
The data in Table 4.8 are from a survey of salamander counts taken on plots of fixed size sampled from prairie regions in Manitoba, Canada.17 The prairies are subject to periodic controlled burning to reduce the chance of uncontrolled wildfires. The research question being investigated is how salamander populations react to these controlled burns. Use a Poisson regression model to address this question. Also comment on the apparent fit of the model.