Analysis of means: a generalized approach using R

Pallmann, Philip ORCID: https://orcid.org/0000-0001-8274-9696 and Hothorn, Ludwig A. 2016. Analysis of means: a generalized approach using R. Journal of Applied Statistics 43 (8) , pp. 1541-1560. 10.1080/02664763.2015.1117584

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Abstract

Papers on the analysis of means (ANOM) have been circulating in the quality control literature for decades, routinely describing it as a statistical stand-alone concept. Therefore, we clarify that ANOM should rather be regarded as a special case of a much more universal approach known as multiple contrast tests (MCTs). Perceiving ANOM as a grand-mean-type MCT paves the way for implementing it in the open-source software R. We give a brief tutorial on how to exploit R's versatility and introduce the R package ANOM for drawing the familiar decision charts. Beyond that, we illustrate two practical aspects of data analysis with ANOM: firstly, we compare merits and drawbacks of ANOM-type MCTs and ANOVA F-test and assess their respective statistical powers, and secondly, we show that the benefit of using critical values from multivariate t-distributions for ANOM instead of simple Bonferroni quantiles is oftentimes negligible.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Medicine
Publisher:	Taylor & Francis (Routledge): STM, Behavioural Science and Public Health Titles
ISSN:	0266-4763
Date of Acceptance:	4 November 2015
Last Modified:	03 Nov 2022 09:41
URI:	https://orca.cardiff.ac.uk/id/eprint/105707

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