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Randomization Tests Under the Potential Outcomes Framework

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자료유형학위논문
서명/저자사항Randomization Tests Under the Potential Outcomes Framework.
개인저자Wu, Jason.
단체저자명University of California, Berkeley. Statistics.
발행사항[S.l.]: University of California, Berkeley., 2019.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2019.
형태사항97 p.
기본자료 저록Dissertations Abstracts International 81-06B.
Dissertation Abstract International
ISBN9781392703212
학위논문주기Thesis (Ph.D.)--University of California, Berkeley, 2019.
일반주기 Source: Dissertations Abstracts International, Volume: 81-06, Section: B.
Advisor: Ding, Peng.
이용제한사항This item must not be sold to any third party vendors.
요약The Fisher randomization test (FRT) is appropriate for any test statistic, under a sharp null hypothesis that can recover all missing potential outcomes. However, it is often of interest to test a weak null hypothesis that the treatment does not affect the units on average. To use the FRT for a weak null hypothesis, we must address two issues. First, we need to impute the missing potential outcomes although the weak null hypothesis cannot determine all of them. Second, we need to choose a proper test statistic. For a general weak null hypothesis, we propose an approach to imputing missing potential outcomes under a compatible sharp null hypothesis. With this imputation scheme, we advocate a studentized statistic. The resulting FRT has multiple desirable features. First, it is model-free. Second, it is finite-sample exact under the sharp null hypothesis that we use to impute the potential outcomes. Third, it conservatively controls large-sample type I errors under the weak null hypothesis of interest. Therefore, our FRT is agnostic to treatment effect heterogeneity. We establish a unified theory for general factorial experiments. We also extend it to stratified and clustered experiments.
일반주제명Statistics.
언어영어
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