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The Interpretation of Regression Analysis and the Covariance Adjustment, with Particular Reference to Agricultural Research

Published online by Cambridge University Press:  03 October 2008

N. A. Campbell  and
N. A. Goodchild
N. A. Campbell
Affiliation:
CSIRO, Division of Mathematical Statistics, Rural Sciences Laboratory, Private Bag, P.O., Wembley, Western Australia, 6014
N. A. Goodchild
Affiliation:
Biometrics Unit, Institute of Agriculture, University of Western Australia, Nedlands, W.A. 6009
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Summary

The aim of this paper is to help biologists gain a clearer understanding of what is involved in covariance analysis. It is an exposition on the derivation of the regression coefficient in the analysis of covariance, and hence on the interpretation of the covariance adjustment. The covariance adjustment is shown to be equivalent to regressing the residuals from an analysis of variance of the original variate on the residuals from an analysis of variance of the covariate.

Type
Research Article
Information
Experimental Agriculture , Volume 9 , Issue 4 , October 1973 , pp. 369 - 379
Copyright
Copyright © Cambridge University Press 1973

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References

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