Balanced block designs robust against the loss of a single observation
type: Item
instance of: scholarly article
title: Balanced block designs robust against the loss of a single observation
zbMATH Open document ID: 0669.62064
DOI: 10.1016/0378-3758(89)90066-9
author: Dexter C. III Whittinghill
published in: Journal of Statistical Planning and Inference
publication date: 1989-01-01T00:00:00Z
review text: An experiment based on a balanced block design (BBD) is usually no longer balanced if one or more observations are unavailable. This paper investigates the problem of finding a BBD which is most robust against the lack of balance induced by the loss of a single observation. Competing BBDs have the same number of treatments and observations, but different block sizes. Robustness of a BBD is measured through the non- zero eigenvalues of the C-matrix of the design which is missing the observation, either with the variability of those eigenvalues or with an A-optimality efficiency factor. Guidelines for finding the most robust design are given.
Mathematics Subject Classification ID: 62K10
zbMATH DE Number: 4096620
zbMATH Keywords: eigenvalue variability
zbMATH Keywords: balanced block design
zbMATH Keywords: lack of balance
zbMATH Keywords: loss of a single observation
zbMATH Keywords: Robustness
zbMATH Keywords: non-zero eigenvalues of the C-matrix
zbMATH Keywords: A- optimality efficiency factor
MaRDI profile type: Publication
full work available at URL: 0378-3758(89)90066-9
OpenAlex ID: W2084036123
cites work: Conditions for the robustness of block designs against the unavailability of data
cites work: Some E-optimal block designs
cites work: Robustness of BIBD against the unavailability of data
cites work: Information in an observation in robust designs
cites work: On a robustness property of PBIBD
cites work: Resistant and susceptible BIB designs
cites work: The robustness of chain block designs and coat-of-mail designs
cites work: Q4072671
cites work: Q5627526
Wikidata QID: Q127279463
description: scientific article; zbMATH DE number 4096620