Abstract

This article is organized as follows. The next selection reviews the standard statistical approaches to selection problems and introduce some of the terminology that has been developed in this area. Section 3 discusses the method of multiple comparisons and illustrate how this method can be applied to solving correlated selection problems. From this perspective, a selection problem reduces to the problem of simultaneously performing a number of two-hypothesis selection problems. Section 4 describes the Sequential Probability Ratio Test (SPRT), an efficient method for solving a two-hypothesis selection problem. Section 5 describes a new correlated selection method, MC-SPRT, which combines the multiple comparison approach with the SPRT. Section 6 shows how the cost of selection can be further improved by a decision-theoretic evaluation of the cost of taking examples.

Citations