Sharp symbolic nonparametric bounds for measures of benefit in observational and imperfect randomized studies with ordinal outcomes

Erin E Gabriel, Michael C Sachs and Andreas Kryger Jensen

Biometrika, 2024, vol. 111, issue 4, 1429-1436

Abstract: The probability of benefit can be a valuable and meaningful measure of treatment effect. Particularly for an ordinal outcome, it can have an intuitive interpretation. Unfortunately, this measure, and variations of it, are not identifiable even in randomized trials with perfect compliance. There is, for this reason, a long literature on nonparametric bounds for unidentifiable measures of benefit. These have primarily focused on perfect randomized trial settings and one or two specific estimands. We expand these bounds to observational settings with unmeasured confounders and imperfect randomized trials for all three estimands considered in the literature: the probability of benefit, the probability of no harm and the relative treatment effect.

Keywords: Noncompliance; Probability of benefit; Probability of no harm; Relative treatment effect; Symbolic nonparametric bound (search for similar items in EconPapers)
Date: 2024
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