Multifactor Analysis of Variance

Part of the Springer Texts in Statistics book series (STS)


This chapter presents the analysis of multifactor ANOVA models. The first three sections deal with the balanced two-way ANOVA model. Section 1 examines the no interaction model. Section 2 examines the model with interaction. Section 3 discusses the relationship between polynomial regression and the balanced two-way ANOVA model. Sections 4 and 5 discuss unbalanced two-way ANOVA models. Section 4 treats the special case of proportional numbers. Section 5 examines the general case. Finally, Section 6 extends the earlier results of the chapter to models with more than two factors. A review of the tensor concepts in Appendix B may aid the reader of this chapter.


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Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of New MexicoAlbuquerqueUSA

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