Abstract #300671

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JSM 2003 Abstract #300671
Activity Number: 342
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 9:00 AM to 10:50 AM
Sponsor: Section on Survey Research Methods
Abstract - #300671
Title: Strategies for Modeling Two Categorical Variables with Multiple Category Choices
Author(s): Christopher R. Bilder*+ and Thomas M. Loughin
Companies: Oklahoma State University and Kansas State University
Address: Dept. of Statistics, Stillwater, OK, 74075,
Keywords: pick any/c ; multiple-response categorical variable ; correlated binary data ; marginal independence ; generalized loglinear ; alternating logistic regression
Abstract:

Surveys frequently have questions that ask "pick any" or "choose all that apply" from a set of responses. Variables that summarize this type of data are called both pick any/c variables and multiple-response categorical variables. The purpose of this research is to develop and investigate model-based procedures to test for marginal independence between these multiple-response categorical variables. These procedures include generalized loglinear, alternating logistic regression, and multivariate binomial logit-normal models. Follow-up methods are proposed to investigate deviations from marginal independence if they occur. Model convergence problems are discussed and a simulation study is performed to determine which procedures hold the correct size under a variety of different settings.

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