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

Article

Schilling, Edward G.   (1974, ASQC)   General Electric Company, F.J. Borch Lighting Research Center, Cleveland, OH

Journal of Quality Technology    Vol. 6    No. 2
QICID: 5161    April 1974    pp. 74-83
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Article Abstract

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.

Keywords

Design of experiments (DOE),Regression,Doolittle method,Analysis of variance (ANOVA)


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