Interval estimates of weighted effect sizes in the one-way heteroscedastic ANOVA

Kulinskaya, E. and Staudte, R. G. (2006) Interval estimates of weighted effect sizes in the one-way heteroscedastic ANOVA. British Journal of Mathematical and Statistical Psychology, 59 (1). pp. 97-111. ISSN 0007-1102

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Abstract

A framework for comparing normal population means in the presence of heteroscedasticity and outliers is provided. A single number called the weighted effect size summarizes the differences in population means after weighting each according to the difficulty of estimating their respective means, whether the difficulty is due to unknown population variances, unequal sample sizes or the presence of outliers. For an ANOVA weighted for unequal variances, we find interval estimates for the weighted effect size. In addition, the weighted effect size is shown to be a monotone function of a suitably defined weighted coefficient of determination, which means that interval estimates of the former are readily transformed into interval estimates of the latter. Extensive simulations demonstrate the accuracy of the nominal 95% coverage of these intervals for a wide range of parameters.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Computing Sciences
UEA Research Groups:	Faculty of Science > Research Groups > Data Science and Statistics Faculty of Medicine and Health Sciences > Research Centres > Business and Local Government Data Research Centre (former - to 2023) Faculty of Science > Research Groups > Norwich Epidemiology Centre Faculty of Medicine and Health Sciences > Research Groups > Norwich Epidemiology Centre
Depositing User:	Vishal Gautam
Date Deposited:	10 Mar 2011 08:19
Last Modified:	22 Apr 2023 01:24
URI:	https://ueaeprints.uea.ac.uk/id/eprint/23747
DOI:	10.1348/000711005X68174

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