Optimal Foldovers and Semifolding for Minimum Aberration Even Fractional Factorial Designs

Mee, Robert W.; Xiao, Jihua Regina

doi:10.1080/00224065.2008.11917748

Cited by 7 publications

(4 citation statements)

References 11 publications

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“…The initial

2_{normalIV}^{6 MathClass-bin- 2}

is termed even because all words in the defining relation are of even length. As shown in Mee and Xiao , semifoldovers of even designs partition the 2FI aliases in the same manner as the foldover. Thus, semifoldovers can be an efficient choice of follow‐up although the combined design is irregular.…”

Section: Comparing Follow‐up Designsmentioning

confidence: 89%

“…For resolution IV designs, semifoldovers often allow for estimation of as many 2FIs as a foldover. Mee and Xiao discuss this benefit but note a loss of efficiency as the combined design is an irregular fraction. In general, semifolding is not recommended as a follow‐up to regular resolution III designs as this technique is not guaranteed to increase resolution to IV.…”

Section: Introductionmentioning

confidence: 99%

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Comparing methods for design follow‐up: revisiting a metal‐cutting case study

Edwards

Weese

Palmer

2013

Appl Stoch Models Bus & Ind

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aAdding another fraction to an initial fractional factorial design is often required to resolve ambiguities with respect to aliasing of factorial effects from the initial experiment and/or to improve estimation precision. Multiple techniques for design follow-up exist; the choice of which is often made on the basis of the initial design and its analysis, resources available, experimental objectives, and so on. In this paper, we compare four design follow-up strategies: foldover, semifoldover, D-optimal, and Bayesian (MD-optimal) in the context of a metal-cutting case study previously utilized to compare fractional factorials of different run sizes. Follow-up designs are compared for each of a 2 6 3 III , 2 6 2 IV , and Plackett-Burman initial experiments. Our empirical results suggest that a single followup strategy does not outperform all others in every situation. This case study serves to illustrate design augmentation possibilities for practitioners and provides some basis for the selection of a follow-up experiment.

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“…The initial

2_{normalIV}^{6 MathClass-bin- 2}

Section: Comparing Follow‐up Designsmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Comparing methods for design follow‐up: revisiting a metal‐cutting case study

Edwards

Weese

Palmer

2013

Appl Stoch Models Bus & Ind

View full text Add to dashboard Cite

show abstract

“…Alternative approaches include the D-optimal augmented design (Mitchell, 1974), the Bayesian approach for augmenting 2 k−p designs proposed by Meyer et al (1996), and semi-foldover design (Mee and Peralta, 2000). For even designs, in which their defining relation consists entirely of even-length words, Mee and Xiao (2008) studied optimal foldovers and semi-foldovers for resolution IV designs. We compared our designs with the corresponding D-optimal augmented designs.…”

Section: Discussionmentioning

confidence: 99%

A Note on Foldover of 2^k−pDesigns With Column Permutations

Lin

2016

Technometrics

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“…The plans to be selected will be those that maximize the decoupling of 2FIs. Mee and Xiao presented details for identifying foldover fractions for designs with 6 to 11 factors, but specific guidelines to augment designs with 11 to 16 factors, along with equivalence tables and percentages distributions, are not available. This article focuses in these issues and provides guidelines that are easy to understand and implement.…”

Section: Introductionmentioning

confidence: 99%

Foldover Plans for Resolution IV Designs with 11 to 16 Factors

Galindo¹,

Ríos²,

Simpson³

et al. 2015

Quality & Reliability Eng

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When there is a concern about the best way to apply the foldover technique to a Resolution IV fraction, it is often helpful to consult the literature available. Unfortunately, foldover plans for Resolution IV designs with 11 ≤ k factors are not provided. This article shows a methodology for the selection and classification of foldover plans for two‐level fractional factorial designs with 11 to 16 factors based on an exhaustive search and computer programming. The recommended foldovers are presented. This research extends the current foldover plans available for Resolution IV designs. Copyright © 2015 John Wiley & Sons, Ltd.

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Optimal Foldovers and Semifolding for Minimum Aberration Even Fractional Factorial Designs

Cited by 7 publications

References 11 publications

Comparing methods for design follow‐up: revisiting a metal‐cutting case study

Comparing methods for design follow‐up: revisiting a metal‐cutting case study

A Note on Foldover of 2^k−pDesigns With Column Permutations

Foldover Plans for Resolution IV Designs with 11 to 16 Factors

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Optimal Foldovers and Semifolding for Minimum Aberration Even Fractional Factorial Designs

Cited by 7 publications

References 11 publications

Comparing methods for design follow‐up: revisiting a metal‐cutting case study

Comparing methods for design follow‐up: revisiting a metal‐cutting case study

A Note on Foldover of 2k−pDesigns With Column Permutations

Foldover Plans for Resolution IV Designs with 11 to 16 Factors

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Product

Resources

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A Note on Foldover of 2^k−pDesigns With Column Permutations