On the E- and MV-optimality of spring balance designs with string property
type: Item
instance of: scholarly article
title: On the E- and MV-optimality of spring balance designs with string property
zbMATH Open document ID: 0586.62117
DOI: 10.1016/0378-3758(86)90122-9
published in: Journal of Statistical Planning and Inference
publication date: 1986-01-01T00:00:00Z
review text: In this paper we consider the problem of optimally measuring the distances between \(p+1\) objects which are fixed in position along a line. It is assumed throughout that n measurements are to be taken on the distances between various pairs of objects occurring along the line. Such a problem gives rise to \(p\times n\) design matrices whose entries are all 0's and 1's with the string property, i.e., the property that each row of the design matrix contains only strings of 0's and 1's. Here we develop some methods for constructing designs which are E-optimal and MV-optimal for estimating the p distances of interest.
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62K10
zbMATH DE Number: 3940502
zbMATH Keywords: spring balance designs
zbMATH Keywords: weighing design
zbMATH Keywords: estimable function
zbMATH Keywords: distances between objects
zbMATH Keywords: measurement problems
zbMATH Keywords: design matrices
zbMATH Keywords: string property
zbMATH Keywords: E-optimal
zbMATH Keywords: MV-optimal
author: Mike Jacroux
MaRDI profile type: Publication
full work available at URL: 0378-3758(86)90122-9
OpenAlex ID: W1979554374
cites work: Q4101295
cites work: Some Improvements in Weighing and Other Experimental Techniques
cites work: On the optimality of spring balance weighing designs
cites work: On Hotelling's Weighing Problem
cites work: Asymptotically optimal weighing designs with string property
cites work: Q5627526
cites work: Optimal weighing designs with a string property
cites work: Q3288481
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description: scientific article; zbMATH DE number 3940502