 Averaging p-values under exchangeabilityWoohyun Choi and Ilmun Kim Statistics & Probability Letters, 2023, vol. 194, issue C Abstract: A classical result indicates that the arithmetic average of p-values multiplied by the factor of 2 is a valid p-value under arbitrary dependence among p-values. Moreover, this constant factor cannot be improved in general without additional assumptions. Given this classical result, we study the average of p-values under exchangeability, which is a natural generalization of the i.i.d. assumption. Somewhat surprisingly, we prove that exchangeability is not enough to improve the constant factor of 2. This negative result motivates us to explore other conditions under which it is possible to obtain a smaller constant factor. Finally, we discuss certain benefits of the average of p-values over the average of statistics in terms of statistical power and provide empirical results that verify our theoretical findings. Keywords: Arithmetic average; Exchangeability; Power analysis; p-value; Stable distribution (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:194:y:2023:i:c:s0167715222002619 Ordering information: This journal article can be ordered from DOI: 10.1016/j.spl.2022.109748 Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
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