Mathematics Homework Help

Consider the University of California Berkeley admissions data from Lecture 4
(see Blackboard for the R code to obtain this dataset).(a) Write out all possible (hierarchical) loglinear models for the three categorical variables
and describe the association/independence structure assumed in each one.
(b) Find the likelihood ratio test statistic G2
, associated degrees of freedom and p-value for
each of the possible loglinear models. Present the results in a table.
(c) Which model would you choose based on the overall fit statistic?
(d) Consider the loglinear model that only excludes the 3-way interaction term. Perform
nested model tests for testing each of the two-way interaction terms. Find the likelihood
ratio test statistic G2
, associated degrees of freedom and p-value. Present the results in
a table and explain your findings.