Date of Award

8-1-1977

Degree Type

Thesis

University or Center

Atlanta University (AU)

Degree Name

M.S.

Mathematics

First Advisor

Dr. Arthur Jones

Abstract

This paper compares two criteria for stepwise regression, a statistical procedure for selecting variables in regression analysis. Chapter I contains concepts that will be needed to introduce stepwise regression. Chapter II discusses the old criterion for stepwise regression. This criterion enters or removes variables in the regression equation on the basis of a test of whether certain partial correlation coefficients are zero. Chapter III explains the new criterion. This procedure enters or removes variables on the basis of whether the Mean Square Error is significantly reduced as a result of adding a new variable or deleting an old one. The two methods are compared with examples involving actual data. Findings of both criteria and summary remarks are given in Chapter IV.

Included in

Mathematics Commons

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