Refer to Problem 13.14.

a. Fit a negative binomial model with log link. Interpret. Plot the counts against width and indicate which link seems more appropriate

b. Fit a Poisson GLMM with log link, using width predictor. Interpret.

c. Compare results for the various models, including those in Section 4.3.2 for a Poisson GLM. Indicate your preferred model. Justify

Data from Problem 13.14:

For the counts of horseshoe-crab satellites in Table 4.3, Table 13.10 shows the results of ML fitting of the negative binomial model using width as the predictor, with the identity link.

Table 4.3

Table 13.10