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Publication Date:
September 2011
ISSN:
1544-6115
DOI:
10.2202/1544-6115.1560

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Editor-in-Chief: Stumpf, Michael P.H.

Editorial Board Member: Beaumont, Mark / Binder, Harald / Gupta, Mayetri / Hubbard, Alan E. / Husmeier, Dirk / Ji, Hongkai / Keles, Sunduz / Kerr, Kathleen / Lazzeroni, Laura / Lin, Shili / Ma, Ping / Marjoram, Paul / Mertens, Bart / Nerman, Olle / G. Petretto, Enrico / Plagnol, Vincent / Purdom, Elizabeth / Robin, Stéphane / Rzhetsky, Andrey / Sanguinetti, Guido / van der Laan, Mark J. / von Haeseler, Arndt / Weeks, Daniel E. / Wiuf, Carsten / Zhao, Hongyu

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IMPACT FACTOR 2011: 1.517
5-year IMPACT FACTOR: 1.704
Rank 27 out of 116 in category Statistics & Probability in the 2011 Thomson Reuters Journal Citation Report/Science Edition

A Modified Maximum Contrast Method for Unequal Sample Sizes in Pharmacogenomic Studies

Kengo Nagashima / Yasunori Sato / Chikuma Hamada

1Josai University

1Harvard School of Public Health

1Tokyo University of Science

Citation Information: Statistical Applications in Genetics and Molecular Biology. Volume 10, Issue 1, Pages 1–25, ISSN (Online) 1544-6115, DOI: 10.2202/1544-6115.1560, September 2011

Publication History:
Published Online:
2011-09-07

In pharmacogenomic studies, biomedical researchers commonly analyze the association between genotype and biological response by using the Kruskal-Wallis test or one-way analysis of variance (ANOVA) after logarithmic transformation of the obtained data. However, because these methods detect unexpected biological response patterns, the power for detecting the expected pattern is reduced. Previously, we proposed a combination of the maximum contrast method and the permuted modified maximum contrast method for unequal sample size in pharmacogenomic studies. However, we noted that the distribution of the permuted modified maximum contrast statistic depends on nuisance parameter σ2, which is the population variance. In this paper, we propose a modified maximum contrast method with a statistic that does not depend on the nuisance parameter. Furthermore, we compare the performance of these methods via simulation studies. The simulation results showed that the modified maximum contrast method gave the lowest false-positive rate; therefore, this method is powerful for detecting the true response patterns in some conditions. Further, it is faster and more accurate than the permuted modified maximum contrast method. On the basis of these results, we suggest a rule of thumb to select the appropriate method in a given situation.

Keywords: multiple contrast statistics; maximum contrast statistic; unequal sample size; pharmacokinetics-related gene; biological response pattern

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