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On Sensitivity Value of Pair-Matched Observational Studies

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  • Qingyuan Zhao

Abstract

This article proposes a new quantity called the “sensitivity value,” which is defined as the minimum strength of unmeasured confounders needed to change the qualitative conclusions of a naive analysis assuming no unmeasured confounder. We establish the asymptotic normality of the sensitivity value in pair-matched observational studies. The theoretical results are then used to approximate the power of a sensitivity analysis and select the design of a study. We explore the potential to use sensitivity values to screen multiple hypotheses in the presence of unmeasured confounding using a microarray dataset. Supplementary materials for this article are available online.

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  • Qingyuan Zhao, 2019. "On Sensitivity Value of Pair-Matched Observational Studies," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 114(526), pages 713-722, April.
    • Handle: RePEc:taf:jnlasa:v:114:y:2019:i:526:p:713-722
    DOI: 10.1080/01621459.2018.1429277
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