A note on optimality in lattice square designs

E. R. Williams; J. A. John

doi:10.1093/biomet/83.3.709

A note on optimality in lattice square designs

E. R. Williams, J. A. John

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

4 Citations (Scopus)

Abstract

This note demonstrates that lattice square designs are A-optimal, within the class of lattice square designs, if and only if they are (M, S)-optimal. Certain restricted lattice square designs are shown to be A-optimal.

Original language	English
Pages (from-to)	709-713
Number of pages	5
Journal	Biometrika
Volume	83
Issue number	3
DOIs	https://doi.org/10.1093/biomet/83.3.709
Publication status	Published - 1996
Externally published	Yes

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title = "A note on optimality in lattice square designs",

abstract = "This note demonstrates that lattice square designs are A-optimal, within the class of lattice square designs, if and only if they are (M, S)-optimal. Certain restricted lattice square designs are shown to be A-optimal.",

keywords = "(M, S)-optimality, A-optimality, Average efficiency factor, Design generation algorithm, Lattice square design, Resolvable design, Row-column design",

author = "Williams, \{E. R.\} and John, \{J. A.\}",

year = "1996",

doi = "10.1093/biomet/83.3.709",

language = "English",

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journal = "Biometrika",

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T1 - A note on optimality in lattice square designs

AU - Williams, E. R.

AU - John, J. A.

PY - 1996

Y1 - 1996

N2 - This note demonstrates that lattice square designs are A-optimal, within the class of lattice square designs, if and only if they are (M, S)-optimal. Certain restricted lattice square designs are shown to be A-optimal.

AB - This note demonstrates that lattice square designs are A-optimal, within the class of lattice square designs, if and only if they are (M, S)-optimal. Certain restricted lattice square designs are shown to be A-optimal.

KW - (M, S)-optimality

KW - A-optimality

KW - Average efficiency factor

KW - Design generation algorithm

KW - Lattice square design

KW - Resolvable design

KW - Row-column design

UR - https://www.scopus.com/pages/publications/0039581357

U2 - 10.1093/biomet/83.3.709

DO - 10.1093/biomet/83.3.709

M3 - Article

AN - SCOPUS:0039581357

SN - 0006-3444

VL - 83

SP - 709

EP - 713

JO - Biometrika

JF - Biometrika

IS - 3

ER -

A note on optimality in lattice square designs

Abstract

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