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Activity Number: 699
Type: Contributed
Date/Time: Thursday, August 4, 2016 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract #319587 View Presentation
Title: Pearson's Chi-Square Test and Rank Correlation Inferences for Clustered Data
Author(s): Joanna Shih* and Michael Fay
Companies: National Cancer Institute and National Institute of Allergy and Infectious Diseases
Keywords: Clustered data ; Within-cluster resampling ; U-statistics ; chi-square test ; Spearman rank correlation ; Kendall's tau

Pearson's chi-square test has been widely used in testing for association between two categorical responses. Spearman rank correlation and Kendall's tau are often used for measuring and testing association between two continuous or ordered categorical responses. However, the established statistical properties of these tests are only valid when each pair of responses are independent, where each sampling unit has only one pair of responses. When each sampling unit consists of a cluster of paired responses, the assumption of independent pairs is violated. In this article, we apply the within-cluster resampling technique to $U$-statistics to form new tests and rank-based correlation estimators for possibly tied clustered data. We develop large sample properties of the new proposed tests and estimators and evaluate their performance by simulations. The proposed methods were applied to two data sets collected from MRI imaging studies for illustration.

Authors who are presenting talks have a * after their name.

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