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Activity Number:
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80
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Type:
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Contributed
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Date/Time:
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Monday, August 12, 2002 : 8:30 AM to 10:20 AM
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Sponsor:
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Biometrics Section*
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| Abstract - #301328 |
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Title:
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Testing for Simultaneous Pairwise Marginal Independence
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Author(s):
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Christopher Bilder*+ and Thomas Loughin
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Affiliation(s):
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Oklahoma State University and Kansas State University
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Address:
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301 MSCS Bldg, Stillwater, Oklahoma, 74078, USA
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Keywords:
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categorical data ; bootstrap ; multiple response ; correlated binary data ; survey ; chi-square test
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Abstract:
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Questions that ask respondents to "choose all that apply" from a set of items occur frequently in surveys. Categorical variables that summarize this type of survey data are called both pick any/c variables and multiple-response categorical variables. It is often of interest to test for independence between two categorical variables. When both categorical variables can have multiple responses, traditional Pearson chi-square tests for independence should not be used because of the within-subject dependence among responses. A modified version of the Pearson statistic is proposed to perform the test, and bootstrap procedures are used to approximate its sampling distribution. First- and second-order corrections to the proposed statistic are given in order to use a chi-square distribution approximation. A Bonferroni adjustment approach is proposed to perform the test when the joint set of responses for individual subjects are unavailable.
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