Skip to main content
SpringerLink
Log in

Fisher and the Analysis of Variance

  • Conference paper
R.A. Fisher: An Appreciation

Part of the book series: Lecture Notes in Statistics ((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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bartlett, M.S. (1936). “The Square Root Transformation in the Analysis of Variance,” Journal of the Royal Statistical Society, 3, 68–78.

    Google Scholar 

  • Bliss, C.I. (1937). “The Analysis of Field Experimental Data Expressed in Percentages,” Plant Protection (Leningrad), 67–77.

    Google Scholar 

  • 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.

    Article  MathSciNet  MATH  Google Scholar 

  • Eisenhart, C., Hastay, M.W. and W.S. Wallis (1947). Techniques of Statistical Analysis. New York: McGraw-Hill.

    Google Scholar 

  • Harris, J.A. (1913). “On the Calculation of Intra-Class and Inter-Class Coefficients of Correlation from Class Moments when the Number of Possible Combinations is Large,” Biometrika, 9, 446–472.

    Google Scholar 

  • Mosteller, F. and C. Youtz (1961). “Tables of the Freeman-Tukey Transformations for the Binomial and Poisson Distributions,” Biometrika, 48, 433–440.

    MathSciNet  MATH  Google Scholar 

Download references

Authors
  1. William G. Cochran
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Statistics, Carnegie Mellon University, 15213, Pittsburgh, PA, USA

    Stephen E. Fienberg

  2. Department of Statistics, Oxford University, 1 South Parks Road, OX1 3TG, Oxford, UK

    David V. Hinkley

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cochran, W.G. (1980). Fisher and the Analysis of Variance. In: Fienberg, S.E., Hinkley, D.V. (eds) R.A. Fisher: An Appreciation. Lecture Notes in Statistics, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6079-0_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-6079-0_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90476-4

  • Online ISBN: 978-1-4612-6079-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation