Statistical isomorphism of three-level fractional factorial designs

Pi W. Tsai; Steven G. Gilmour; Roger Mead

Statistical isomorphism of three-level fractional factorial designs

Pi W. Tsai^*, Steven G. Gilmour, Roger Mead

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

From a statistician's standpoint, the interesting kind of isomorphism for fractional factorial designs depends on the statistical application. Combinatorially isomorphic fractional factorial designs may have different statistical properties when factors are quantitative. This idea is illustrated by using Latin squares of order 3 to obtain fractions of the 3³ factorial design in 18 runs.

Original language	English
Pages (from-to)	3-9
Number of pages	7
Journal	UTILITAS MATHEMATICA
Volume	70
Publication status	Published - Jul 2006

Keywords

Efficiency
Optimal design
Orthogonal array

Cite this

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title = "Statistical isomorphism of three-level fractional factorial designs",

abstract = "From a statistician's standpoint, the interesting kind of isomorphism for fractional factorial designs depends on the statistical application. Combinatorially isomorphic fractional factorial designs may have different statistical properties when factors are quantitative. This idea is illustrated by using Latin squares of order 3 to obtain fractions of the 33 factorial design in 18 runs.",

keywords = "Efficiency, Optimal design, Orthogonal array",

author = "Tsai, {Pi W.} and Gilmour, {Steven G.} and Roger Mead",

year = "2006",

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language = "English",

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T1 - Statistical isomorphism of three-level fractional factorial designs

AU - Tsai, Pi W.

AU - Gilmour, Steven G.

AU - Mead, Roger

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N2 - From a statistician's standpoint, the interesting kind of isomorphism for fractional factorial designs depends on the statistical application. Combinatorially isomorphic fractional factorial designs may have different statistical properties when factors are quantitative. This idea is illustrated by using Latin squares of order 3 to obtain fractions of the 33 factorial design in 18 runs.

AB - From a statistician's standpoint, the interesting kind of isomorphism for fractional factorial designs depends on the statistical application. Combinatorially isomorphic fractional factorial designs may have different statistical properties when factors are quantitative. This idea is illustrated by using Latin squares of order 3 to obtain fractions of the 33 factorial design in 18 runs.

KW - Efficiency

KW - Optimal design

KW - Orthogonal array

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M3 - Article

AN - SCOPUS:33746239603

SN - 0315-3681

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SP - 3

EP - 9

JO - UTILITAS MATHEMATICA

JF - UTILITAS MATHEMATICA

ER -

Statistical isomorphism of three-level fractional factorial designs

Abstract

Keywords

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