Construction and optimality of affine-resolvable designs

Rosemary Anne Bailey; H. Monod; J. P.  Morgan

doi:10.1093/biomet/82.1.187

Construction and optimality of affine-resolvable designs

Rosemary Anne Bailey, H. Monod, J. P. Morgan

Research output: Contribution to journal › Article › peer-review

Abstract

Affine-resolvable designs are constructed from orthogonal arrays and shown to be optimal among resolvable designs with respect to the usual criteria. Tables and text show how to construct such designs in up to seven replicates whenever the number of treatments properly divides the square of the block size. Data from experiments which use affine-resolvable designs can be simply analysed by using pseudofactors.

Original language	English
Pages (from-to)	187-200
Number of pages	14
Journal	Biometrika
Volume	82
Issue number	1
DOIs	https://doi.org/10.1093/biomet/82.1.187
Publication status	Published - 1995

Keywords

affine designs
maximal balance
optimal designs
orthogonal array
resolvable design
pseudofactor

Access to Document

10.1093/biomet/82.1.187

Cite this

@article{cddc4d00b0304a92815173a0b1e6aee8,

title = "Construction and optimality of affine-resolvable designs",

abstract = "Affine-resolvable designs are constructed from orthogonal arrays and shown to be optimal among resolvable designs with respect to the usual criteria. Tables and text show how to construct such designs in up to seven replicates whenever the number of treatments properly divides the square of the block size. Data from experiments which use affine-resolvable designs can be simply analysed by using pseudofactors.",

keywords = "affine designs, maximal balance, optimal designs, orthogonal array, resolvable design, pseudofactor",

author = "Bailey, {Rosemary Anne} and H. Monod and Morgan, {J. P.}",

year = "1995",

doi = "10.1093/biomet/82.1.187",

language = "English",

volume = "82",

pages = "187--200",

journal = "Biometrika",

issn = "0006-3444",

publisher = "Oxford University Press",

number = "1",

}

TY - JOUR

T1 - Construction and optimality of affine-resolvable designs

AU - Bailey, Rosemary Anne

AU - Monod, H.

AU - Morgan, J. P.

PY - 1995

Y1 - 1995

N2 - Affine-resolvable designs are constructed from orthogonal arrays and shown to be optimal among resolvable designs with respect to the usual criteria. Tables and text show how to construct such designs in up to seven replicates whenever the number of treatments properly divides the square of the block size. Data from experiments which use affine-resolvable designs can be simply analysed by using pseudofactors.

AB - Affine-resolvable designs are constructed from orthogonal arrays and shown to be optimal among resolvable designs with respect to the usual criteria. Tables and text show how to construct such designs in up to seven replicates whenever the number of treatments properly divides the square of the block size. Data from experiments which use affine-resolvable designs can be simply analysed by using pseudofactors.

KW - affine designs

KW - maximal balance

KW - optimal designs

KW - orthogonal array

KW - resolvable design

KW - pseudofactor

U2 - 10.1093/biomet/82.1.187

DO - 10.1093/biomet/82.1.187

M3 - Article

SN - 0006-3444

VL - 82

SP - 187

EP - 200

JO - Biometrika

JF - Biometrika

IS - 1

ER -

Construction and optimality of affine-resolvable designs

Abstract

Keywords

Access to Document

Fingerprint

Cite this