Results on Non-Orthogonal Incomplete Factorial Designs

“…By using the estimability viewpoint, the resolution can be generalized to any factorial design. Webb 22 gave the definition of resolution that was later applied by Rechtschaffner 23 and Srivastava and Chopra 24 to construct useful designs. However, Deng and Tang 10 noted that this method can only be used as a classification rule, so it is not useful for ranking different designs.…”

Section: A Generalized Resolution Criterion For Three‐level Screeningmentioning

confidence: 99%

Three‐level designs: Evaluation and comparison for screening purposes

Alomair

Georgiou

Stylianou

2020

Quality & Reliability Eng

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Since their introduction by Box and Hunter, resolution criteria have been widely used when comparing regular fractional factorials designs. In this article, we investigate how a generalized resolution criterion can be used to assess some recently developed three‐level screening designs, such as definitive screening designs (DSDs) and screening designs from weighing matrices. The aim of this paper is to capture the projection properties of those three‐level screening designs, complementing the work of Deng and Tang, who used generalized resolution and minimum aberration criteria for ranking different two‐level designs, particularly Plackett‐Burman and other nonregular factorial designs. An advantage of generalized resolution, extended here to work on three‐level designs, is that it offers a useful criterion for ranking three‐level screening designs, whereas the Deng and Tang resolution is used mainly for the assessment of two‐level designs. In addition, we applied a projection estimation capacity (PEC) criterion to select three‐level screening designs with desirable properties. Practical examples and the best projections of the designs are presented in tables.

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“…A regular fraction is, for example, a 1 2 of a 2 n factorial as compared to an irregular fraction such as a 3 2 of a 2 n factorial (see, e.g., Addelman, 1961;Webb, 1971). A more general definition was given by Webb (1964).…”

Section: Resolution III Designsmentioning

confidence: 99%

Computer Experiments

Morris

2012

Design and Analysis of Experiments

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Results on Non-Orthogonal Incomplete Factorial Designs

Cited by 5 publications

References 2 publications

Saturated Fractions of 2ⁿand 3ⁿFactorial Designs

Saturated Fractions of 2ⁿand 3ⁿFactorial Designs

Three‐level designs: Evaluation and comparison for screening purposes

Computer Experiments

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Results on Non-Orthogonal Incomplete Factorial Designs

Cited by 5 publications

References 2 publications

Saturated Fractions of 2nand 3nFactorial Designs

Saturated Fractions of 2nand 3nFactorial Designs

Three‐level designs: Evaluation and comparison for screening purposes

Computer Experiments

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Product

Resources

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Saturated Fractions of 2ⁿand 3ⁿFactorial Designs

Saturated Fractions of 2ⁿand 3ⁿFactorial Designs