Questions -

1. Show that a Negative Binomial loglinear model is a GLM by specifying the three components of the model. Assume the number of success for the Negative binomial distribution is known.

2. In an I x J x K table, show that homogeneous XY association implies XZ association and homogeneous YZ association.

3. Simulation Study: Consider the Wald confidence interval for, the proportion of a Bernoulli distribution. Using simulation in SAS or R, study the coverage probability of this confidence interval for different values of π;α and n. Write down your conclusion and using literature, list some alternative solutions for the problem. (Provide the R or SAS Code).

Textbook - Categorical Data Analysis, Second Edition by ALAN AGRESTI.