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| Research article summary (published 13 Jun 2009): |
The k-in-a-row up-and-down design, revisited.
Full Abstract
The percentile-finding experimental design known variously as 'forced-choice fixed-staircase', 'geometric up-and-down' or 'k-in-a-row' (KR) was introduced by Wetherill four decades ago. To date, KR has been by far the most widely used up-and-down (U&D) design for estimating non-median percentiles; it is implemented most commonly in sensory studies. However, its statistical properties have not been fully documented, and the existence of a unique mode in its asymptotic treatment distribution has been recently disputed.Here we revisit the KR design and its basic properties. We find that KR does generate a unique stationary mode near its target percentile, and also displays better operational characteristics than two other U&D designs that have been studied more extensively. Supporting proofs and numerical calculations are presented. A recent experimental example from anesthesiology serves to highlight some of the 'up-and-down' design family's properties and advantages. Copyright (c) 2009 John Wiley & Sons, Ltd.
Author information
Author/s: Oron, Assaf P (AP); Hoff, Peter D (PD);
Affiliation: Department of Statistics, University of Washington, Seattle, WA 98195-4322, U.S.A. assaf.oron(-atsign-)gmail.com
Journal and publication information
Publication Type: Journal Article
Journal: Statistics in medicine (Stat Med), published in England. (Language: eng)
Reference: 2009-Jun; vol 28 (issue 13) : pp 1805-20
Dates: Created 2009/05/13; Completed 2009/07/01;
PMID: 19378270, status: MEDLINE (last retrieval date: 7/1/2009, IMS Date: 01 Jul 2009 00:00:00)
Sourced from the National Library of Medicine. Abstract text and other information may be subject to copyright.
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