Testing Collapsibility of Hierarchical Loglinear Models for Contingency Tables
Francesco Mario Malvestuto · COMPSTAT · 1990
A (hierarchical) loglinear model is said to be collapsible onto a set of variables if the corresponding marginal totals can be drawn from the tables of marginal totals formed by summing the sufficient marginals of the model over the remaining variables. Collapsibility has important consequences for hypothesis testing and model selection, and can be useful in data reduction. We shall present a procedure for computing marginal totals for arbitrary sets of variables; as a by-product, a simple algorithm for testing collapsibility is obtained. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.