Journal ArticleDOI
Uniform designs limit aliasing
Fred J. Hickernell,Min-Qian Liu +1 more
TLDR
In this article, it is shown that uniform designs limit the effects of aliasing to yield reasonable efficiency and robustness together, while robust experimental designs guard against inaccurate estimates caused by model misspecification.Abstract:
SUMMARY When fitting a linear regression model to data, aliasing can adversely affect the estimates of the model coefficients and the decision of whether or not a term is significant. Optimal experimental designs give efficient estimators assuming that the true form of the model is known, while robust experimental designs guard against inaccurate estimates caused by model misspecification. Although it is rare for a single design to be both maximally efficient and robust, it is shown here that uniform designs limit the effects of aliasing to yield reasonable efficiency and robustness together. Aberration and resolution measure how well fractional factorial designs guard against the effects of aliasing. Here it is shown that the definitions of aberration and resolution may be generalised to other types of design using the discrepancy.read more
Citations
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Book ChapterDOI
Ch. 4. Uniform experimental designs and their applications in industry
Kai-Tai Fang,Dennis K.J. Lin +1 more
TL;DR: In this paper, the authors introduce the theory and method of the uniform design and related data analysis and modelling methods, and apply it to industry and other areas, including space filling.
Journal ArticleDOI
Recent developments in nonregular fractional factorial designs
TL;DR: Important developments in optimality criteria and comparison are reviewed, including projection properties, generalized resolution, various generalized minimum aberration criteria, optimality results, construction methods and analysis strategies for nonregular designs.
Posted Content
Recent Developments in Nonregular Fractional Factorial Designs
TL;DR: In this paper, a review of recent developments in optimality criteria and comparison of non-regular fractional factorial designs is presented, including projection properties, generalized resolution, various generalized minimum aberration criteria, optimality results, construction methods and analysis strategies.
Journal ArticleDOI
Uniform fractional factorial designs
TL;DR: In this article, uniformity is used to further distinguish fractional factorial designs, besides the minimum aberration criterion, and optimal designs with 27 and 81 runs are obtained for practical use.
Connections Among Different Criteria for Asymmetrical Fractional Factorial Designs
TL;DR: In this paper, the 2 (D) criterion is generalized to the so-called minimum 2 criterion and connections among dieren t criteria are investigated, which provides strong statistical justication for each of them.
References
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Generalized minimum aberration for asymmetrical fractional factorial designs
Hongquan Xu,C. F. J. Wu +1 more