An Effective Algorithm for Generation of Factorial Designs with Generalized Minimum Aberration. [PDF]
J Complex, 2007 Fractional factorial designs are popular and widely used for industrial experiments. Generalized minimum aberration is an important criterion recently proposed for both regular and non-regular designs. This paper provides a formal optimization treatment on optimal designs with generalized minimum aberration.
Fang KT, Zhang A, Li R.
europepmc +7 more sources
Algorithms for finding generalized minimum aberration designs [PDF]
Journal of Complexity, 2015 15 pages.
Kenneth J. Ryan, Dursun A. Bulutoglu
arxiv +5 more sources
Generalized minimum aberration for asymmetrical fractional factorial designs [PDF]
The Annals of Statistics, 2001 By studying treatment contrasts and ANOVA models, we propose a generalized minimum aberration criterion for comparing asymmetrical fractional factorial designs. The criterion is independent of the choice of treatment contrasts and thus model-free. It works for symmetrical and asymmetrical designs, regular and nonregular designs.
Xu, Hongquan, Wu, C.F.J.
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A general theory of minimum aberration and its applications [PDF]
The Annals of Statistics, 2005 Minimum aberration is an increasingly popular criterion for comparing and assessing fractional factorial designs, and few would question its importance and usefulness nowadays. In the past decade or so, a great deal of work has been done on minimum aberration and its various extensions.
Cheng, Ching-Shui, Tang, Boxin
openaire +5 more sources
Quarter-fraction factorial designs constructed via quaternary codes [PDF]
Annals of Statistics 2009, Vol. 37, No. 5A, 2561-2581, 2009 The research of developing a general methodology for the construction of good nonregular designs has been very active in the last decade. Recent research by Xu and Wong [Statist.
Phoa, Frederick K. H., Xu, Hongquan
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Some results on $2^{n-m}$ designs of resolution IV with (weak) minimum aberration [PDF]
Annals of Statistics 2009, Vol. 37, No. 6A, 3600-3615, 2009 It is known that all resolution IV regular $2^{n-m}$ designs of run size $N=2^{n-m}$ where $5N ...
Chen, Hegang H., Cheng, Ching-Shui
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Uniform fractional factorial designs [PDF]
Annals of Statistics 2012, Vol. 40, No. 2, 891-907, 2012 The minimum aberration criterion has been frequently used in the selection of fractional factorial designs with nominal factors. For designs with quantitative factors, however, level permutation of factors could alter their geometrical structures and ...
Lin, Dennis K. J. +2 more
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The Gaussian formula and spherical aberration of the static and moving curved mirrors from Fermat's principle [PDF]
J. Opt. 13 (2011) 105706, 2011 The Gaussian formula and spherical aberrations of the static and relativistic curved mirrors are analyzed using the optical path length (OPL) and Fermat's principle. The geometrical figures generated by the rotation of conic sections about their symmetry
Baker T Y +9 more
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Projection Uniformity of Asymmetric Fractional Factorials
Axioms, 2022 The objective of this paper is to study the issue of the projection uniformity of asymmetric fractional factorials. On the basis of level permutation and mixture discrepancy, the average projection mixture discrepancy to measure the uniformity for low ...
Kang Wang, Zujun Ou, Hong Qin, Na Zou
doaj +1 more source
DoE.MIParray: An R Package for Algorithmic Creation of Orthogonal Arrays
Journal of Open Research Software, 2020 The R package DoE.MIParray uses mixed integer optimization for creating well-balanced arrays for experimental designs. Its use requires availability of at least one of the commercial optimizers Gurobi or Mosek.
Ulrike Grömping
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