“…Obviously, the loss induced by an incorrect full approval is larger than that of an incorrect conditional approval alone and the loss of both together is larger than each single one (Hsu et al, 2023). As pointed out by Benjamini et al (2023), weights have been introduced into the testing of multiple hypotheses a long while ago. There are particularly many applications of weighted tests to multiple endpoint analyses in clinical trials, where weights are typically selected for clinical reasons and not as the result of numerical optimization, all under the FWER framework (Westfall & Krishen, 2001;Bretz et al, 2009;Burman et al, 2009;Dmitrienko & Tamhane, 2013;Alosh et al, 2014).…”