Optimal designs for testing pairwise differences: A graph‐based game theoretic approach

Arpan Singh, Satya Prakash Singh and Ori Davidov

Scandinavian Journal of Statistics, 2025, vol. 52, issue 2, 533-571

Abstract: In a variety of experimental settings there is an interest in comparing pairs–of–treatments. Such experiments usually address one of the following two scientific questions: (1) is there a difference within any of the selected pairs of treatments? or (2) is there a difference within all of the selected pairs of treatments? In this article, we propose max–min optimal designs for testing the above hypotheses using a graph‐based game theoretic approach. Some of the max–min designs obtained are well known, but not recognized as optimal, others are novel and provide an improvement over naive designs.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:bla:scjsta:v:52:y:2025:i:2:p:533-571

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