Adaptive design in the one-way layout
type: Item
instance of: scholarly article
title: Adaptive design in the one-way layout
zbMATH Open document ID: 0734.62083
DOI: 10.1016/0378-3758(91)90070-U
author: Rainer Schwabe
published in: Journal of Statistical Planning and Inference
publication date: 1991-01-01T00:00:00Z
review text: The author deals with adaptive designs for the one-way layout considering the situation where one is interested in the direct effects as well as the case where one is interested in a comparison with a control. The resulting least squares estimators are shown to be superior (with respect to the A-criterion) to any competing estimator based on a deterministic design. In the case of normal errors explicit formulae for the efficiency are given. There is a minor error on p. 335, lines 8 and 9: In both cases read \(N'\geq 2\) (instead of \(N'\geq 5)\).
Mathematics Subject Classification ID: 62L05
Mathematics Subject Classification ID: 62K05
zbMATH DE Number: 4215217
zbMATH Keywords: G-criterion
zbMATH Keywords: E-criterion
zbMATH Keywords: shrinking estimator
zbMATH Keywords: adaptive designs
zbMATH Keywords: one-way layout
zbMATH Keywords: direct effects
zbMATH Keywords: comparison with a control
zbMATH Keywords: least squares estimators
zbMATH Keywords: A-criterion
zbMATH Keywords: normal errors
zbMATH Keywords: efficiency
reviewed by: Volker Mammitzsch
MaRDI profile type: Publication
cites work: Q3660706
cites work: Optimality of some weighing and \(2^n\) fractional factorial designs
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full work available at URL: 0378-3758(91)90070-u
OpenAlex ID: W1974237181
description: scientific article; zbMATH DE number 4215217