Discussion on “Optimal test procedures for multiple hypotheses controlling the familywise expected loss” by Willi Maurer, Frank Bretz, and Xiaolei Xun

Yoav Benjamini*, Ruth Heller, Abba Krieger, Saharon Rosset

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We discuss three issues. In the first part, we discuss the criteria emphasized by Maurer, Bretz, and Xun, warning that it modifies the per comparison error rate that does not address the concerns raised by multiple testing. In the second part, we strengthen the optimality results developed in the paper, based on our recent results. In the third part, we highlight the potentially important role that the use of weights may have in practice and discuss the difficulties in assigning weights that convey the importance in the gain and loss functions, especially as it pertains to multiple endpoints.

Original languageEnglish
Pages (from-to)2794-2797
Number of pages4
JournalBiometrics
Volume79
Issue number4
DOIs
StatePublished - Dec 2023

Funding

FundersFunder number
National Science Foundation
United States-Israel Binational Science Foundation2016746
Israel Science Foundation2018112, 2180/20

    Keywords

    • familywise error
    • most powerful test
    • multiple end-points
    • per comparison error-rate
    • sample size determination
    • strong control

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