The Role of Pairwise Matching in Experimental Design for an Incidence Outcome

2022/09/01 by Adam Kapelner, Abba Μ. Krieger, Kapelner, Adam +3 · 1 citation
Decision Sciences · Mathematics · #FOS: Computer and information sciences #Methodology (stat.ME) #Optimal Experimental Design Methods #Statistical Methods in Clinical Trials #Survey Sampling and Estimation Techniques

paper · pdf · doi:10.48550/arxiv.2209.00490

openalex publication_date 2022/09/01 · openalex created_date 2022/09/03 · openalex updated_date 2026/07/28

Abstract

We consider the problem of evaluating designs for a two-arm randomized experiment with an incidence (binary) outcome under a nonparametric general response model. Our two main results are that the priori pair matching design of Greevy et al. (2004) is (1) the optimal design as measured by mean squared error among all block designs which includes complete randomization. And (2), this pair-matching design is minimax, i.e. it provides the lowest mean squared error under an adversarial response model. Theoretical results are supported by simulations and clinical trial data.

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• Block Designs that Provide Optimal Power in the Cochran-Mantel-Haenszel Test

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