Myra Samuels Memorial Lecture

Intersection-Union Tests: Theory and Examples

Roger L. Berger
School of Mathematical and Natural Sciences, Arizona State University

Start Date and Time: Fri, 29 Apr 2016, 10:30 AM

End Date and Time: Fri, 29 Apr 2016, 11:30 AM

Venue: WTHR 320

Refreshments: HAAS 111 at 9:45 AM

Abstract:

The intersection-union method of hypothesis test construction is a simple and useful method, if the null hypothesis is conveniently expressed as a union of sets. In this lecture, we define intersection-union tests (IUT’s) and discuss their basic properties. We discuss relationships between IUT’s and other common tests such as likelihood ratio tests (LRT’s), and we discuss situations in which IUT’s are uniformly more powerful than LRT’s. Numerous examples or IUT’s will be presented, including bioequivalence tests, determination of the minimum effective dose or the maximum tolerated dose of a drug, and determination of the time span during which a drug’s blood concentration exceeds a certain threshold.