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报告题目: Paired or partially paired two-sample tests with unordered samples 

报告人: 叶志盛 副教授（新加坡国立大学）

Abstract

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 talk, we introduce 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 (including a phone degradation test) are used to illustrate the proposed methods, in which we demonstrate that naive methods can yield misleading conclusions.

报告人简介: 叶志盛博士本科毕业于清华大学材料科学与工程系，博士就读于新加坡国立大学工业与系统工程系。现在为新加坡国立大学工业系统工程与管理系副教授。主要研究方向包括剩余寿命预测，可靠性建模，生存分析，及数据驱动的运营决策。

报告时间：2023年10月23日（周一）上午10：00-12：00

报告地点：教二楼727

联系人：胡涛