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Fisher and the Analysis of Variance

  • William G. Cochran
Part of the Lecture Notes in Statistics book series (LNS, volume 1)

Abstract

The development of the analysis of variance and many of its applications is one of the main evidences of Fisher’s genius. In this lecture I have described some of Fisher’s papers on analysis of variance that particularly interested me. The first paper on this topic (with W.A. Mackenzie) appeared in 1923 [CP 32]. Two aspects of this paper are of historical interest. At that time Fisher did not fully understand the rules of the analysis of variance — his analysis is wrong — nor the role of randomization. Secondly, although the analysis of variance is closely tied to additive models, Fisher rejects the additive model in his first analysis of variance, proceeding to a multiplicative model as more reasonable.

Keywords

Null Distribution Potassium Sulphate Binomial Data Sulphate Chloride Root Scale 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Bartlett, M.S. (1936). “The Square Root Transformation in the Analysis of Variance,” Journal of the Royal Statistical Society, 3, 68–78.Google Scholar
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  3. Cochran, W.G. (1940). “The Analysis of Variance when Experimental Errors Follow the Poisson or Binomial Laws,” The Annals of Mathematical Statistics, 11, 335–347.MathSciNetMATHCrossRefGoogle Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 1980

Authors and Affiliations

  • William G. Cochran

There are no affiliations available

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