会议时间：2022/10/11 18:30-21:30 (GMT+08:00) 中国标准时间 - 北京

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腾讯会议：791-762-620

会议密码：202210

标题：Paired or Partially Paired Two-Sample Tests with Unordered Samples

摘要：In paired two-sample tests for mean equality, it is common to encounter unordered samples in which subject identities are not observed or unobservable, and it is impossible to link the measurements before and after treatment. The absence of subject identities masks the correspondence between the two samples, rendering existing methods inapplicable. In this paper, we propose two novel testing approaches. The first splits one of the two unordered samples into blocks and approximates the population mean using the average of the other sample. The second method is a variant of the first, in which subsampling is used to construct an incomplete U-statistic. Both methods are affine invariant and can readily be extended to partially paired two-sample tests with unordered samples. Asymptotic null distributions of the proposed test statistics are derived and the local powers of the tests are studied. Comprehensive simulations show that the proposed testing methods are able to maintain the correct size, and their powers are comparable to those of the oracle tests with perfect pair information. Four real examples are used to illustrate the proposed methods, in which we demonstrate that naive methods can yield misleading conclusions.

个人简介：唐炎林，研究员，博士生导师，上海市浦江人才计划入选者。2012年1月博士毕业于复旦大学统计系，同年5月加入同济大学数学系，期间2015.9-2017.8在乔治华盛顿大学进行博士后研究，2019年1月加入华东师范大学统计学院。主要研究方向为分位数回归、高维数据统计推断、模型选择、复杂数据分析，主持国自科面上项目、青年项目、上海市自科面上项目各一项，在Biometrika、Journal of the Royal Statistical Society (Series B)、PNAS、Statistica Sinica、Biometrics、Scandinavian Journal of Statistics、Science China: Mathematics等SCI期刊发表论文30余篇，目前担任Journal of Korean Statistical Society的Associate Editor。