Critical Values for Testing Location-Scale Hypothesis

Rublík, František

doi:10.2478/v10048-009-0004-8

.blurhash-client-img { display: none !important; }

Critical Values for Testing Location-Scale Hypothesis

Measurement Science Review

Volume 9 (2009): Issue 1 (February 2009)

By: František Rublík

Open Access

|Apr 2009

Abstract

The exact critical points for selected sample sizes and significance levels are tabulated for the two-sample test statistic which is a combination of the Wilcoxon and the Mood test statistic. This statistic serves for testing the null hypothesis that two sampled populations have the same location and scale parameters.

References

Hájek, J., Šidák, Z. & Sen, P. K. (1999). Theory of Rank Tests. Academic Press, San Diego.
Search in Google Scholar
Hollander, M. & Wolfe, D. A. (1999). Nonparametric Statistical Methods. Wiley, New York.
Search in Google Scholar
Hutchison, T. P. (2002). Should we routinely test for simultaneous location and scale changes? Ergonomics 45, 248-251.10.1080/0014013011011663211964207
Search in Google Scholar
Lepage, Y. (1971). A combination of Wilcoxon's and Ansari-Bradley's statistics. Biometrika 58, 213-217.10.1093/biomet/58.1.213
Search in Google Scholar
Lepage, Y. (1973). A table for a combined Wilcoxon Ansari-Bradley statistic. Biometrika 60, 113-116.10.1093/biomet/60.1.113
Search in Google Scholar
Podgor, M. J. & Gastwirth, J. L. (1994). On non-parametric and generalized tests for the two-sample problem with location and scale change alternatives. Statistics in Medicine 13, 747-758.10.1002/sim.47801305358023047
Search in Google Scholar
Rublík, F. (2005). The multisample version of the Lepage test. Kybernetika 41, 713-733.
Search in Google Scholar
Rublík, F. (2007). On the asymptotic efficiency of the multisample location-scale rank tests and their adjustment for ties. Kybernetika 43, 279-306.
Search in Google Scholar

DOI: https://doi.org/10.2478/v10048-009-0004-8 | Journal eISSN: 1335-8871

Journal RSS Feed

Language: English

Page range: 9 - 15

Published on: Apr 20, 2009

Published by: Slovak Academy of Sciences, Institute of Measurement Science

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

distribution-free rank test,

combination of rank statistics,

small sample sizes,

location-scale hypothesis

Related subjects:

Engineering,

Electrical engineering,

Control engineering, metrology and testing

© 2009 František Rublík, published by Slovak Academy of Sciences, Institute of Measurement Science
This work is licensed under the Creative Commons License.

Volume 9 (2009): Issue 1 (February 2009)