Detecting relative changes in multiple comparisons with an overall mean

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Gemechis D. Djira
  • Ludwig A. Hothorn

Organisationseinheiten

Externe Organisationen

  • South Dakota State University
  • Lancaster University
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Details

OriginalspracheEnglisch
Seiten (von - bis)60-65
Seitenumfang6
FachzeitschriftJournal of quality technology
Jahrgang41
Ausgabenummer1
PublikationsstatusVeröffentlicht - 21 Nov. 2017

Abstract

Analysis of means (ANOM) is a procedure used for comparisons with the overall mean by taking the correlations between the comparisons into account. This procedure can be used, for example, in statistical process control to improve product quality. Our interest is to devise inference procedures when the aim is to detect percentage changes from the overall mean in a normal one-way layout. Like ANOM, the results can be presented graphically. Moreover, adjusted p-values and simultaneous confidence intervals for ratios to the overall mean can be constructed. Because ratio parameters are dimensionless, we demonstrate advantages of the proposed approach using examples for comparing several mutants using equal and unequal relative thresholds and for obtaining a set of comparable simultaneous confidence intervals in multiple endpoints.

ASJC Scopus Sachgebiete

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Detecting relative changes in multiple comparisons with an overall mean. / Djira, Gemechis D.; Hothorn, Ludwig A.
in: Journal of quality technology, Jahrgang 41, Nr. 1, 21.11.2017, S. 60-65.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Djira GD, Hothorn LA. Detecting relative changes in multiple comparisons with an overall mean. Journal of quality technology. 2017 Nov 21;41(1):60-65. doi: 10.1080/00224065.2009.11917760
Djira, Gemechis D. ; Hothorn, Ludwig A. / Detecting relative changes in multiple comparisons with an overall mean. in: Journal of quality technology. 2017 ; Jahrgang 41, Nr. 1. S. 60-65.
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