Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

A Non-Parametric Method of Testing k Samples

Abstract

Pitman1, Wald and Wolfowitz2, Dixon3 and others have suggested non-parametric methods for testing the null-hypothesis of two samples. Recently, I have used4 similar methods for testing k samples. The object of the present communication is to show that S of Kendall's5 τ for rank correlation can be used in testing the null-hypothesis of k samples from univariate populations.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Similar content being viewed by others

References

  1. Pitman, E. J. G., J. Roy. Stat. Soc., Supp. 4, 119 (1937).

  2. Wald, A., and Wolfowitz, J., Ann. Math. Stat., 11, 147 (1940).

    Article  Google Scholar 

  3. Dixon, W. J., Ann. Math. Stat., 11, 199 (1940).

    Article  Google Scholar 

  4. Krishna Iyer, P. V., J. Ind. Soc. Agric. Stat., 1, 173 (1948).

    MathSciNet  Google Scholar 

  5. Kendall, M. G., “The Advanced Theory of Statistics”, 1, 391 (London: Charles Griffin and Co., 1945).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

KRISHNA IYER, P. A Non-Parametric Method of Testing k Samples. Nature 167, 33 (1951). https://doi.org/10.1038/167033a0

Download citation

  • Issue date:

  • DOI: https://doi.org/10.1038/167033a0

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing