JSM 2004 - Toronto

Abstract #300777

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Activity Number: 55
Type: Contributed
Date/Time: Sunday, August 8, 2004 : 4:00 PM to 5:50 PM
Sponsor: Section on Statistics in Epidemiology
Abstract - #300777
Title: Describing Stratified Multiple Responses for Sparse Data
Author(s): Ivy Liu*+
Companies: Victoria University of Wellington
Address: , Wellington, International, , New Zealand
Keywords: Mantel-Haenszel method ; multiple responses ; sparse data ; stratification
Abstract:

Surveys often contain qualitative variables for which respondents may select any number of the outcome categories. For instance, for the question "What type of contraception have you used?'' with possible responses (oral, condom, lubricated condom, spermicide, and diaphragm), respondents would be instructed to select as many of the outcomes that apply. This type of response is called "multiple responses." Bilder and Loughin (2002) proposed a Cochran-Mantel-Haenszel (MH) type method to test whether the choice of type of contraception is marginally independent of an explanatory variable given a stratification variable (known as conditional multiple marginal independence (CMMI). We apply the generalized MH type estimators (Greenland, 1989) to estimate the conditional group effects among the outcome categories and follow the bootstrap method to estimate the variances and covariances for the estimators. It performs well even for highly sparse data.

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