Statistical isomorphism of three-level fractional factorial designs

Pi Wen Tsai; Steven G. Gilmour; Roger Mead

Statistical isomorphism of three-level fractional factorial designs

Pi Wen 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 - 2006 Jul
Externally published	Yes

Keywords

Efficiency
Optimal design
Orthogonal array

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

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",

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AU - Tsai, Pi Wen

AU - Gilmour, Steven G.

AU - Mead, Roger

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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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JO - Utilitas Mathematica

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ER -

Statistical isomorphism of three-level fractional factorial designs

Abstract

Keywords

ASJC Scopus subject areas

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