Dergiler / Hacettepe Journal of Mathematics and Statistics / 2003 / Cilt: 32 - Sayı:

A study on exact distributions of the Kao and Chakraborti's statistics for comparing treatments with a control in a randomized complete block design

Sayfa
91–104
Yayın Tarihi
2022-10-18
DOI
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A great many differences for this statistics have been found between the cumulative probability values by the usual approach proposed by Kao and Chakraborti and those of the exact distributions, even when the sample size is inadequate.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, the exact distributions of the Kao and Chakraborti's Statistics for comparing treatments with a control in a randomized complete block design are obtained.
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Temel Bulgular & Veri:Some exact critical values found from this distribution are also given.
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Sonuç & Katkı:A great many differences for this statistics have been found between the cumulative probability values by the usual approach proposed by Kao and Chakraborti and those of the exact distributions, even when the sample size is inadequate.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this study, the exact distributions of the Kao and Chakraborti's Statistics for comparing treatments with a control in a randomized complete block design are obtained. Some exact critical values found from this distribution are also given. A great many differences for this statistics have been found between the cumulative probability values by the usual approach proposed by Kao and Chakraborti and those of the exact distributions, even when the sample size is inadequate.

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Bu Makaleye Atıf Yap

ALTUNKAYNAK, B., GAMGAM, H. (2022). A study on exact distributions of the Kao and Chakraborti's statistics for comparing treatments with a control in a randomized complete block design. Hacettepe Journal of Mathematics and Statistics, Cilt: 32 - Sayı:, 91–104. https://ajindex.com/articles/530824

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Kaynakça (6)

  1. Friedman, M. The use of ranks to avoid the assumption of normality implicit in the analysis of variance, Journal of the American Statistical Association 32, 675-801, 1937
  2. Hettmansperger, T. P, and McKean, J.W. Statistical inference based on ranks, Pyschometrika 43, 69-79, 1978
  3. Hettmansperger, T. P Statistical Inference based on Ranks, (Wiley, New York, 1984)
  4. Hettmansperger, T. P, and Norton, R. M. Tests for patterned alternatives in K-Sample prob­lems, Journal of the American Statistical Association 82, 292-299, 1987
  5. Kao, L. H. and Chakraborti, S. Nonparametric procedures for comparing treatments with a control in a randomized complete block design, Communications in Statistics, Theory Meth. 27(3), 687-704, 1998
  6. Mack, G. A. and Skillings J.H. A Friedman-type rank test for main effects in a two-factor ANOVA, Journal of the American Statistical Association 75, 947-951, 1980.