Skip to main content
Log in

On multivariate signed rank tests

  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

Summary

As a test for the hypothesis of equality of means in a sample ofn matched pairs of observations from a single bivariate population in(x, y), Wilcoxon ([4], [5]) proposed a signed rank sum testU involving the differencesz=x\t-y. Tables of valuesUs have been provided forn of 50 or less and four significance levelsε. The following paper considers some generalizations of the Wilcoxon test for the case of matched bivariate or trivariate populations. These tests utilize certain properties of thep-variate normal distribution when integrated over certain regions for the cases:p=2,3.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. B. M. Bennett, “On multivariate sign tests,”J- R- Statist. Soc. B, 24 (1962), 159–161.

    MathSciNet  MATH  Google Scholar 

  2. M. G. Kendall,Rank Correlation Methods, 3rd edition. Griffin & Co. Ltd., 1962.

  3. M. G. Kendall and A. Stuart,Advanced Theory of Statistics, I, Griffin & Co. Ltd., 1962.

  4. F. Wilcoxon, “Individual comparisons by ranking methods,”Biometrics Bulletin, 1 (1945), 80–82.

    Article  Google Scholar 

  5. F. Wilcoxon, “Probability tables for individual comparisons by ranking methods,”Biometrics, 3 (1947), 119–122.

    Article  MathSciNet  Google Scholar 

  6. F. Wilcoxon, S. K. Katti and R. A. Wilcox,Critical Values and Probability Levels for the Wilcoxon Rank Sum Test and the Signed Rank Test, Lederle Laboratories and Florida State University, 1963.

Download references

Authors

About this article

Cite this article

Bennett, B.M. On multivariate signed rank tests. Ann Inst Stat Math 17, 55–61 (1965). https://doi.org/10.1007/BF02868152

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02868152

Keywords

Navigation