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Determination of the detectable maximum difference among parameters in hypothesis testing / Yap Bee Wah and Pooi Ah Hin

Consider a one-way classification model with r treatments and n, experimental units for the ith treatment. Let μ1, μ2,...,μr be the r treatment means and d the maximum difference between any two treatment means. This study focuses on determining the detectable maximum difference between any two mean...

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Main Authors: Yap, Bee Wah, Pooi, Ah Hin
Format: Research Reports
Language:English
Published: 2002
Online Access:https://ir.uitm.edu.my/id/eprint/74274/1/74274.pdf
https://ir.uitm.edu.my/id/eprint/74274/
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spelling my.uitm.ir.742742023-06-16T02:20:40Z https://ir.uitm.edu.my/id/eprint/74274/ Determination of the detectable maximum difference among parameters in hypothesis testing / Yap Bee Wah and Pooi Ah Hin Yap, Bee Wah Pooi, Ah Hin Consider a one-way classification model with r treatments and n, experimental units for the ith treatment. Let μ1, μ2,...,μr be the r treatment means and d the maximum difference between any two treatment means. This study focuses on determining the detectable maximum difference between any two means. We examine the scenario when the null hypothesis that the r treatment means are all equal (H0 : μ1 = μ2 = ...= μr) is accepted. When H0 is accepted, the reliability of the result of the test is given by the power function which is a function of μ = (μ1, μ2,...,μr)T and the error variance σ2. It is not easy to use this power function to assess the reliability of the result of the test because it is a function of many variables. In this study, the information contained in the power function is summarized by an interval [0,d+] which represents the likely values of the detectable maximum difference between any two treatment means. Small value of d+ will indicate that the acceptance result given by the test is reliable. 2002 Research Reports NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/74274/1/74274.pdf Determination of the detectable maximum difference among parameters in hypothesis testing / Yap Bee Wah and Pooi Ah Hin. (2002) [Research Reports] (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
description Consider a one-way classification model with r treatments and n, experimental units for the ith treatment. Let μ1, μ2,...,μr be the r treatment means and d the maximum difference between any two treatment means. This study focuses on determining the detectable maximum difference between any two means. We examine the scenario when the null hypothesis that the r treatment means are all equal (H0 : μ1 = μ2 = ...= μr) is accepted. When H0 is accepted, the reliability of the result of the test is given by the power function which is a function of μ = (μ1, μ2,...,μr)T and the error variance σ2. It is not easy to use this power function to assess the reliability of the result of the test because it is a function of many variables. In this study, the information contained in the power function is summarized by an interval [0,d+] which represents the likely values of the detectable maximum difference between any two treatment means. Small value of d+ will indicate that the acceptance result given by the test is reliable.
format Research Reports
author Yap, Bee Wah
Pooi, Ah Hin
spellingShingle Yap, Bee Wah
Pooi, Ah Hin
Determination of the detectable maximum difference among parameters in hypothesis testing / Yap Bee Wah and Pooi Ah Hin
author_facet Yap, Bee Wah
Pooi, Ah Hin
author_sort Yap, Bee Wah
title Determination of the detectable maximum difference among parameters in hypothesis testing / Yap Bee Wah and Pooi Ah Hin
title_short Determination of the detectable maximum difference among parameters in hypothesis testing / Yap Bee Wah and Pooi Ah Hin
title_full Determination of the detectable maximum difference among parameters in hypothesis testing / Yap Bee Wah and Pooi Ah Hin
title_fullStr Determination of the detectable maximum difference among parameters in hypothesis testing / Yap Bee Wah and Pooi Ah Hin
title_full_unstemmed Determination of the detectable maximum difference among parameters in hypothesis testing / Yap Bee Wah and Pooi Ah Hin
title_sort determination of the detectable maximum difference among parameters in hypothesis testing / yap bee wah and pooi ah hin
publishDate 2002
url https://ir.uitm.edu.my/id/eprint/74274/1/74274.pdf
https://ir.uitm.edu.my/id/eprint/74274/
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score 13.211869

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