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Title: Power Enhanced Binary Expansion Testing Procedures for Independence Detection
Authors: Ding, Yue
Advisors: Liu, Han
Contributors: Dvir, Zeev
Department: Mathematics
Class Year: 2017
Abstract: In this thesis we study the Binary Expansion Testing (BET) procedure for inde- pendence detection. We first derive the theoretical optimal power achievable by the BET method when framed as a multiple hypothesis testing problem (MHTP) and showed that it brings about power enhancement over the Bonferroni procedure previ- ously used. We then create an integrated single hypothesis testing procedure aimed at reducing information loss incurred by the MHTP framing. In so doing, we derived a Weighted Alternative BET procedure that maximizes the power of the test.
Type of Material: Princeton University Senior Theses
Language: en_US
Appears in Collections:Mathematics, 1934-2020

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