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Multifactor Analysis of Variance

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Plane Answers to Complex Questions

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

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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.

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References

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM, USA

    Ronald Christensen

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  1. Ronald Christensen
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Correspondence to Ronald Christensen .

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Christensen, R. (2020). Multifactor Analysis of Variance. In: Plane Answers to Complex Questions. Springer Texts in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-030-32097-3_7

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