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The Relationship of Analysis of Variance to Regression: Part 1. Balanced Designs

Summary: The relationship of analysis of variance to regression is well-known and is usually set forth in terms of the general linear hypothesis model. Presented in this way, an understanding of the consanguinity of the two methods requires a knowledge of statistics at a somewhat advanced level. The bond between the two methods can, however, be explained in much simpler terms, and in a way that makes evident the practical applications of their similarity. This paper shows how to perform analysis of variance by straightforward regression procedures for a variety of models and in a diversity of situations.

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  • Topics: Design of Experiments
  • Keywords: Design of experiments (DOE),Regression,Doolittle method,Analysis of variance (ANOVA)
  • Author: Schilling, Edward G.
  • Journal: Journal of Quality Technology