Research Article
BibTex RIS Cite

A Test Based on Linear Rank Statistics for the Equality of Two Dispersion Parameters

Year 2012, Volume: 9 Issue: 1, 29 - 36, 13.07.2012

Abstract

This paper suggests a test statistic for ordered alternatives. Distributional properties of this test statistic were examined, and power comparisons were made. Klotz, Kamat and Siegel-Tukey tests were used in power comparisons. Especially when n=n1 + n2 is odd number and small, the suggested statistic was proven to be more powerful in comparison with the other three test statistics.

References

  • Deshpande, J. V., Kusum, K., 1984. A Test for the Nonparametric Two-Sample Scale Problem. Australian Journal of Statistics, 26, 16-24.
  • Gibbons, J. D., Chakraborti, S., 2003. Nonparametric Statistical Inference 4th edn. Marcel Dekker, New York.
  • Kamat, A. R., 1956. A Two Sample Distribution Free Test Biometrika, 43, 377-387.
  • Klotz, J., 1962. Nonparametric Test for Scale. Ann. Math. Statist, 33, 498-512.
  • Mahajan, K.K., Gaur, A., Arora, S., 2011. A Nonparametric Test for a Two-Sample Scale Problem Based on Subsample Medians. Statistica1 Probahility Letters, doi: 10.1016. Article in press.
  • Rosenbauın, S., 1965. on Some Two-Sample Non-parametric Tests. Journal of the American Statistical Association, 60, 1118-1126.
  • Siegel, S., and J. W. Tukey, 1960. A Nonparametric Sum of Ranks Procedure for Relative Spread in Unpaired Samples. Journal of the American Statistica1 Association, 55,429--445.

İki Dağılış Parametresinin Eşitliği için Doğrusal Sıra İstatistiğine Dayalı Bir Test

Year 2012, Volume: 9 Issue: 1, 29 - 36, 13.07.2012

Abstract

Bu çalışmada sıralı alternatifler için bir test istatistiği önerilmiştir. Bu test istatistiğinin dağılım özellikleri ve güç karşılaştırmaları yapılmıştır. Güç karşılaştırmalarında Klotz, Kamat ve Siegel-Tukey testleri kullanılmıştır. Özellikle n=n1 + n2 tek sayı ve küçük iken önerilen test istatistiğinin, karşılaştırılan diğer üç testten daha güçlü olduğu kanıtlanmıştır.

References

  • Deshpande, J. V., Kusum, K., 1984. A Test for the Nonparametric Two-Sample Scale Problem. Australian Journal of Statistics, 26, 16-24.
  • Gibbons, J. D., Chakraborti, S., 2003. Nonparametric Statistical Inference 4th edn. Marcel Dekker, New York.
  • Kamat, A. R., 1956. A Two Sample Distribution Free Test Biometrika, 43, 377-387.
  • Klotz, J., 1962. Nonparametric Test for Scale. Ann. Math. Statist, 33, 498-512.
  • Mahajan, K.K., Gaur, A., Arora, S., 2011. A Nonparametric Test for a Two-Sample Scale Problem Based on Subsample Medians. Statistica1 Probahility Letters, doi: 10.1016. Article in press.
  • Rosenbauın, S., 1965. on Some Two-Sample Non-parametric Tests. Journal of the American Statistical Association, 60, 1118-1126.
  • Siegel, S., and J. W. Tukey, 1960. A Nonparametric Sum of Ranks Procedure for Relative Spread in Unpaired Samples. Journal of the American Statistica1 Association, 55,429--445.
There are 7 citations in total.

Details

Primary Language Turkish
Subjects Statistics
Journal Section Research Articles
Authors

Irmak Acarlar This is me

Bülent Altunkaynak This is me

Publication Date July 13, 2012
Published in Issue Year 2012 Volume: 9 Issue: 1

Cite

APA Acarlar, I., & Altunkaynak, B. (2012). İki Dağılış Parametresinin Eşitliği için Doğrusal Sıra İstatistiğine Dayalı Bir Test. İstatistik Araştırma Dergisi, 9(1), 29-36.