文章基本信息

标题：Factorial ANOVA with unbalanced data: A fresh look at the types of sums of squares
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作者：Carrie E. Smith ; Robert Cribbie
期刊名称：Journal of Data Science
印刷版ISSN：1680-743X
电子版ISSN：1683-8602
出版年度：2014
卷号：12
期号：3
页码：385-404
出版社：Tingmao Publish Company
摘要：In this paper we endeavour to provide a largely non-technical description of the issues surrounding unbalanced factorial ANOVA and review the arguments made for and against the use of Type I, Type II and Type III sums of squares. Though the issue of which is the `best' approach has been debated in the literature for decades, to date confusion remains around how the procedures differ and which is most appropriate. We ultimately recommend use of the Type II sums of squares for analysis of main effects because when no interaction is present it tests meaningful hypotheses and is the most statistically powerful alternative.
关键词：sums of squares; unbalanced factorial ANOVA.