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Multifactor Analysis of Variance

  • Ronald ChristensenEmail author
Chapter
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Part of the Springer Texts in Statistics book series (STS)

Abstract

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.

References

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

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

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