“数字+”与统计数据工程系列讲座（二十九）4月27日新加坡国立大学Ye, Zhisheng来中心线上讲座预告

讲座题目： Paired or partially paired two-sample tests with unordered samples
报告人：叶志盛
讲座时间：2023年4月27日（周四）15：00-16：00
讲座地点：综合楼644会议室   

报告人简介：

Dr. Ye received a joint B.E. (2008) in Material Science & Engineering, and Economics from Tsinghua University. He received a Ph.D. degree from National University of Singapore. He is currently Dean's Chair and Associate Professor in the Department of Industrial Systems Engineering & Management at National University of Singapore. His research areas include degradation analysis, lifetime and recurrence data analysis, and reliability modeling.

讲座摘要：

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 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.