Skip to main content

On an Approximate Test for Homogeneity of Coefficients of Variation

  • Chapter
Contribution to Applied Statistics

Part of the book series: Experientia Supplementum ((EXS,volume 22))

Summary

The coefficient of variation (c. v.) ζ = σ/ξ, or ratio of standard deviation to mean (ξ > 0), is a useful parameter and measure of variability in certain situations since it is expressed in absolute units. Thus in comparing results on repeated clinical data when k (≥ 2) different measurement techniques are utilized in analyzing the same or paired specimens, it is of interest to compare the corresponding sample c. v.’s z 1, ... , z k respectively for the k techniques. For this situation the following note presents a test which is based on McKay’s approximation [4] to the distribution of the sample c. v. for the normal distribution, and utilizes Pitman’s method [5] for the hypothesis of equality of scale parameters of Gamma variates.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Similar content being viewed by others

References

  1. Iglewicz, B., Myers, R. H. and Howe, R. B. (1968): On the percentage points of the sample coefficient of variation. Biometrika 56, 580–581.

    Article  Google Scholar 

  2. Iglewicz, B. and Myers, R. H. (1970): Comparisons of approximations to the percentage points of the sample coefficient of variation. Technometrics 12, 166–169.

    Google Scholar 

  3. Koopmans, L. H., Owens, D. B. and Rosenblatt, J. I. (1964): Confidence intervals for the coefficient of variation for the normal and log-normal distributions. Biometrika 51, 25–32.

    Google Scholar 

  4. Mckay, A. T. (1932): Distribution of the coefficient of variation and the extended t distribution. J. R. Statist. Sec. 95, 695–698.

    Article  Google Scholar 

  5. Pitman, E. J. G. (1939): Tests of hypotheses concerning location and scale parameters. Biometrika 31, 200–215.

    Google Scholar 

  6. Tang, P. C. (1938): The power function of the analysis of variance tests with tables and illustrations of their use. Stat. Res. Mem. 2, 126–149.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Walter Joh. Ziegler

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer Basel AG

About this chapter

Cite this chapter

Bennett, B.M. (1976). On an Approximate Test for Homogeneity of Coefficients of Variation. In: Ziegler, W.J. (eds) Contribution to Applied Statistics. Experientia Supplementum, vol 22. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5513-6_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-5513-6_16

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5515-0

  • Online ISBN: 978-3-0348-5513-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics