Advertisement

Measurement Techniques

, Volume 52, Issue 5, pp 443–448 | Cite as

A homogeneity test for several samples

  • A. A. Skrynnikov
General Problems of Metrology and Measurement Techniques
  • 28 Downloads

A test is proposed for nonparametric hypotheses on the homogeneity of several samples differing in volume. The statistics for the test are proposed as the maximum value of the modulus for the difference between the empirical distributions on pairwise comparison. Analytical relationships are derived for the critical values in testing hypotheses on the homogeneity of three, four, and five samples.

Key words

nonparametric methods statistical hypotheses hypothesis testing homogeneity of several samples 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    L. N. Bol’shev and N. V. Smirnov, Tables for Mathematical Statistics [in Russian], Nauka, Moscow (1983).Google Scholar
  2. 2.
    Van der Warden, Mathematical Statistics [Russian translation], IIL, Moscow (1960).Google Scholar
  3. 3.
    L. Sachs, Statistical Estimation [Russian translation], Statistika, Moscow (1976).Google Scholar
  4. 4.
    E. Lloyd, W. Pederman, and J. N. Turin (eds.), Handbook on Applied Statistics in Two Volumes, Volume 1 [Russian translation], Finansy i Statistika, Moscow (1989).Google Scholar
  5. 5.
    M. Hollender and D. Wulf, Nonparametric Methods in Statistics [Russian translation], Finansy i Statistika, Moscow (1983).Google Scholar
  6. 6.
    V. P. Borovikov, Statistica: The Art of Analyzing Data by Computer for Professionals [in Russian], Piter, St. Petersburg (2001).Google Scholar
  7. 7.
    G. I. Ivchenko and Yu. I. Medvedev, Mathematical Statistics: A Textbook for Technical Colleges [in Russian], Vysshaya Shkola, Moscow (1984).Google Scholar
  8. 8.
    B. Yu. Lemeshko, Statistical Analysis of Grouped, Partially Grouped, and Ungrouped Observations on One-Dimensional Continuous Random Quantities: PhD Thesis [in Russian], Novosibirsk (1997).Google Scholar
  9. 9.
    B. Yu. Lemeshko and S. B. Lemeshko, Izmer. Tekhn., No. 12, 9 (2005); Measur. Techn., 48, No. 12, 1159 (2005).Google Scholar
  10. 10.
    B. Yu. Lemeshko and S. B. Lemeshko, Izmer. Tekhn., No. 9, 23 (2008); Measur. Techn., 51, No. 9, 950 (2008).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Zhukovskii Air Force Engineering AcademyMoscowRussia

Personalised recommendations