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Multiple Regression and Correlation—Part 2. Advanced Applications

Ira H. Bernstein, Calvin P. Garbin and Gary K. Teng
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Ira H. Bernstein: University of Texas at Arlington, Department of Psychology
Calvin P. Garbin: University of Nebraska at Lincoln, Department of Psychology
Gary K. Teng: Technical Evaluation and Management Systems, Inc.(TEAMS®)

Chapter 5 in Applied Multivariate Analysis, 1988, pp 121-156 from Springer

Abstract: Abstract Chapter 5 addresses advanced applications of the basic multiple regression model. Most of this chapter is devoted to the use of multiple regression in performing the analysis of variance (ANOVA). Be prepared; I will introduce the topic from a very different approach than you have probably been taught. The way it is taught here and in many other multivariate texts uses multiple regression, not the approach generally called “partitioning of sums of squares.” The results are identical to the way it is taught in basic statistics and experimental design courses, but use of multiple regression greatly simplifies many computations, especially those arising when the number of subjects in the various groups differs (the unequal-N case). One reason the ANOVA is not taught as a special case of multiple regression in undergraduate statistics courses is that it would be too difficult to cover basic material on multiple regression like that in Chapter 4 first. Teaching the ANOVA as a special case of multiple regression has the advantage of illustrating the way computer packages operate, since the packages do not use the methods you were taught as an undergraduate.

Keywords: Regression Weight; Quadratic Trend; Advance Application; Orthogonal Code; Effect Code (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-1-4613-8740-4_5

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