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Activity Number: 285
Type: Contributed
Date/Time: Tuesday, August 4, 2009 : 8:30 AM to 10:20 AM
Sponsor: Section on Health Policy Statistics
Abstract - #303567
Title: Testing the Equality of Conditional Correlations Across Numeric Variable(s) with Heteroscedastic Data
Author(s): Xueya Cai*+ and Gregory E. Wilding and Alan Hutson and Yue Li
Companies: Indiana University Purdue University Indianapolis and SUNY at Buffalo and SUNY at Buffalo and University of California, Irvine
Address: Division of Biostatistics, Indianapolis, IN, 46202,
Keywords: Correlation coefficient ; Equality test ; generalized linear model ; heteroscedasticity ; MOS SF-36
Abstract:

Practice for testing the equality of correlation coefficient across a numeric covariate is to group the data into k samples, and to compare the estimated correlation coefficient among the defined groups. Our group has previously presented a generalized linear model approach for directly estimating the correlation coefficient as a function of the numeric covariate(s). However, this approach was limited to the homoscedastic case. Here we extend the methodology to accommodate heteroscedastic data. The revised method not only maintains type I error control, but also shows improved power for statistical inference under heteroscedastic populations. A real data example is used for illustration.


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