Some new three-level orthogonal main effects plans robust to model uncertainty

Pi Wen Tsai; Steven G. Gilmour; Roger Mead

Some new three-level orthogonal main effects plans robust to model uncertainty

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

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

In this paper, we list some new orthogonal main effects plans for three-level designs for 4, 5 and 6 factors in 18 runs and compare them with designs obtained from the existing L ₁₈, orthogonal array. We show that these new designs have better projection properties and can provide better parameter estimates for a range of possible models. Additionally, we study designs in other smaller run-sizes when there are insufficient resources to perform an 18-run experiment. Plans for three-level designs for 4, 5 and 6 factors in 13 to 17 runs are given. We show that the best designs here are efficient and deserve strong consideration in many practical situations.

Original language	English
Pages (from-to)	1075-1084
Number of pages	10
Journal	Statistica Sinica
Volume	14
Issue number	4
Publication status	Published - 2004 Oct
Externally published	Yes

Keywords

Factor screening
Fold-over designs
Fractional replicate
Orthogonal array
Projection

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

Cite this

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

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AU - Gilmour, Steven G.

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N2 - In this paper, we list some new orthogonal main effects plans for three-level designs for 4, 5 and 6 factors in 18 runs and compare them with designs obtained from the existing L 18, orthogonal array. We show that these new designs have better projection properties and can provide better parameter estimates for a range of possible models. Additionally, we study designs in other smaller run-sizes when there are insufficient resources to perform an 18-run experiment. Plans for three-level designs for 4, 5 and 6 factors in 13 to 17 runs are given. We show that the best designs here are efficient and deserve strong consideration in many practical situations.

AB - In this paper, we list some new orthogonal main effects plans for three-level designs for 4, 5 and 6 factors in 18 runs and compare them with designs obtained from the existing L 18, orthogonal array. We show that these new designs have better projection properties and can provide better parameter estimates for a range of possible models. Additionally, we study designs in other smaller run-sizes when there are insufficient resources to perform an 18-run experiment. Plans for three-level designs for 4, 5 and 6 factors in 13 to 17 runs are given. We show that the best designs here are efficient and deserve strong consideration in many practical situations.

KW - Factor screening

KW - Fold-over designs

KW - Fractional replicate

KW - Orthogonal array

KW - Projection

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Some new three-level orthogonal main effects plans robust to model uncertainty

Abstract

Keywords

ASJC Scopus subject areas

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