陽明交通大學公衛所 Faculty Seminar ： 3/31姜杰博士

時間(Time)：114年3月31日(一) 12:10PM – 13:10PM

地點(Location)：醫學二館221教室

講者(Speaker)： 姜杰博士 (Dr.  Chieh Chianga,  Department of Mathematics, Tamkang University, New Taipei, Taiwan )

講題(Title)： Tolerance interval-based hypothesis testing for the similarity between two independent populations

Abstract

In many fields, determining whether two responses are equivalent or similar is often of interest. However, how similar is similar? Testing the mean difference traditionally offers a statistical answer to the question, but this might be not enough when the two populations have heterogeneous variances. Furthermore, an additional test for assessing variances may lead to multiple adjustments for the error rates. In this study, we suggest testing whether a certain proportion of the test population is included within a certain proportion of the reference population. In doing so, accuracy and precision can be assessed simultaneously by tolerance interval-based hypothesis testing. An asymptotic distribution is derived to calculate statistical characteristics such as power, p-value, and required sample size. Suitable statistical properties are demonstrated by simulation.