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Journals / 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

B. ALTUNKAYNAK
H. GAMGAM
Pages
91–104
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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 Key Takeaways

🎯
Objective & Hypothesis: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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Key Findings & Data:Some exact critical values found from this distribution are also given.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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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Cite This Article

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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References (6)

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  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)
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  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.