Analysis of means : a generalized approach using R

Pallmann, Philip Steffen and Hothorn, Ludwig A. (2016) Analysis of means : a generalized approach using R. Journal of Applied Statistics, 43 (8). pp. 1541-1560. ISSN 0266-4763

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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 opensource software R. We give a brief tutorial on how to exploit R's versatility and introduce R package ANOM for drawing the familiar decision charts. Beyond that, we illustrate two practical aspects of data analysis with ANOM: rstly, 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 benet of using critical values from multivariate t-distributions for ANOM instead of simple Bonferroni quantiles is oftentimes negligible.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Applied Statistics
Additional Information:
This is an Accepted Manuscript of an article published by Taylor & Francis Group in Journal of Applied Statistics on 12/02/2016, available online:
Uncontrolled Keywords:
?? anova f-testmultiple contrast testmultivariate t-distributioncontrol chartindustrial quality assessmentstatistics and probabilitystatistics, probability and uncertainty ??
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Deposited On:
24 Nov 2015 14:28
Last Modified:
31 Dec 2023 00:37