國立東華大學應用數學系

專    題    演    講

主講人：張馨文 博士

           中央研究院 統計科學研究所

講  題：Stochastic ordering under biased sampling and its biostatistical applications

時  間：105 年 03月 04日 (星期五)  15:20-17:00

地  點：理工一館 A324 會議室

摘 要

Sampling bias is encountered in numerous biomedical settings. In the presence of the bias, it is more challenging to examine whether one distribution function majorizes the other, i.e. stochastic ordering. We introduce a nonparametric test for stochastic ordering based on biased sampling data. We illustrate applications to real data on blood alcohol concentration and age of drivers involved in car accidents, in which size bias is present because the drunker drivers are more likely to be sampled. A simulation study indicates that the proposed test provides substantially greater power over ignoring the sampling bias.

Keywords: Order-restricted inference; size bias; weighted distributions

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