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Zbl 1195.62097
Kang, Moonsu; Sen, Pranab K.
Kendall's tau-type rank statistics in genome data. (English)
[J] Appl. Math., Praha 53, No. 3, 207-221 (2008). ISSN 0862-7940; ISSN 1572-9109/e

Summary: High-dimensional data models abound in genomics studies, where often inadequately small sample sizes create impasses for incorporation of standard statistical tools. Conventional assumptions of linearity of regression, homoscedasticity and (multi-) normality of errors may not be tenable in many such interdisciplinary setups. In this study, Kendall's tau-type rank statistics are employed for statistical inference, avoiding most of the parametric assumptions to a greater extent. The proposed procedures are compared with procedures based on Kendall tau statistic. Applications to microarray data models are stressed.

MSC 2000:: *62H20 Statistical measures of associations
62G10 Nonparametric hypothesis testing
62P10 Appl. of statistics to biology
92C40 Biochemistry, etc.
92D10 Genetics

Keywords: dimensional asymptotics; genomics; multiple hypotheses testing; microarray data model; U-statistics

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Zentralblatt MATH Berlin [Germany]