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The impact of selection bias on the results of clinical trials has been analyzed extensively for trials of two treatments, yet its impact in multi-arm trials is still unknown. In this paper, we investigate selection bias in multi-arm trials by its impact on the type I error probability. We propose two models for selection bias, so-called biasing policies, that both extend the classic guessing strategy by Blackwell and Hodges. We derive the distribution of the F-test statistic under thedoi:10.1371/journal.pone.0192065 pmid:29385190 pmcid:PMC5792025 fatcat:nkjd3vruxraxlbkhz2fpncseq4