Rank tests for ANOVA with large number of factor levels

Wang, H; Akritas, MG

dc.contributor.author	Wang, H	en
dc.contributor.author	Akritas, MG	en
dc.date.accessioned	2014-03-01T02:49:54Z
dc.date.available	2014-03-01T02:49:54Z
dc.date.issued	2004	en
dc.identifier.issn	10485252	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/34771
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-2542510739&partnerID=40&md5=cd184c5442b3db77150eb4bc8774e6c1	en
dc.subject	Large number of factor levels	en
dc.subject	Nonparametric	en
dc.subject	Projection method	en
dc.subject	Quadratic forms	en
dc.subject	Rank tests	en
dc.subject	Unbalanced designs	en
dc.title	Rank tests for ANOVA with large number of factor levels	en
heal.type	conferenceItem	en
heal.publicationDate	2004	en
heal.abstract	Recent papers (Boos, D. D and Brownie, C. (1995). ANOVA and rank tests when the number of treatments is large. Statist. Probab. Lett., 23, 183-191; Akritas, M. G. and Arnold, S. (2000). Asymptotics for ANOVA when the number of levels is large. Journal of the American Statistical Association, 95, 212-226; Bathke, A. (2002). ANOVA for a large number of treatments. Mathematical Methods of Statistics, 11(1), 118-132; Akritas and Papadatos 2004; Wang and Akritas 2003) have studied asymptotic properties of ANOVA F-statistics, under general distribution assumptions, when the number of levels is large. Most of these results pertain to statistics based on the original observations, which require strong moment assumptions and are sensitive to outliers. In this paper, we study the use of rank statistics as robust alternatives. Balanced and unbalanced, homoscedastic and heteroscedastic ANOVA models are considered. The main asymptotic tools are the asymptotic rank transform and Hájek's projection method. Simulation results show that the present rank statistics outperform those based on the original observations, in terms of both Type I and Type II errors.	en
heal.journalName	Journal of Nonparametric Statistics	en
dc.identifier.volume	16	en
dc.identifier.issue	3-4	en
dc.identifier.spage	563	en
dc.identifier.epage	589	en