Optimal sequentially planned decision procedures. With the assistance of Günter Duscha, Josef Lübbert and Thomas Meyerthole
type: Item
instance of: scholarly article
title: Optimal sequentially planned decision procedures. With the assistance of Günter Duscha, Josef Lübbert and Thomas Meyerthole
zbMATH Open document ID: 0771.62057
author: N. Schmitz
published in: Lecture Notes in Statistics
publication date: 1993-01-23T00:00:00Z
review text: It is pointed out that in spite of its nice property of minimizing the expected sample sizes at certain parameter values, the Wald sequential probability ratio test is rarely used in practice. The reason suggested for this is that the sample size by itself is not a good indicator of the actual costs of sampling: such factors as set-up costs, the length of time required for agricultural experiments, and the penalties for continuing to use inferior treatments in clinical trials, must also be considered. To take account of such factors, a class of highly adaptive sequential statistical decision procedures is described and analyzed. A main feature of these procedures is that the number of observations to be taken at any given stage of the experiment may depend upon the previous observations. The existence of optimal procedures is proved under various conditions, and algorithms are given for constructing such procedures. Computer programs for the computation of the operating characteristic curve and the expected sampling cost curve are included in an appendix.
reviewed by: Lionel Weiss
Mathematics Subject Classification ID: 62L10
Mathematics Subject Classification ID: 62-02
Mathematics Subject Classification ID: 62L05
Mathematics Subject Classification ID: 62-01
zbMATH DE Number: 108340
zbMATH Keywords: computer programs
zbMATH Keywords: Wald sequential probability ratio test
zbMATH Keywords: costs of sampling
zbMATH Keywords: highly adaptive sequential statistical decision procedures
zbMATH Keywords: existence of optimal procedures
zbMATH Keywords: algorithms
zbMATH Keywords: operating characteristic curve
zbMATH Keywords: expected sampling cost curve
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 108340