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On Isomorphism of Fractional Factorial Designs
, 1999
"... Two fractional factorial designs are called isomorphic if one can be obtained from the other by relabeling the factors, reordering the runs and switching the levels of factors. To identify the isomorphism of two sfactor nrun designs is known to be an NP hard problem, when n and s increase. There ..."
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Cited by 6 (2 self)
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Two fractional factorial designs are called isomorphic if one can be obtained from the other by relabeling the factors, reordering the runs and switching the levels of factors. To identify the isomorphism of two sfactor nrun designs is known to be an NP hard problem, when n and s increase
Generation of Fractional Factorial Designs
, 906
"... The joint use of counting functions, Hilbert basis and Markov basis allows to define a procedure to generate all the fractions that satisfy a given set of constraints in terms of orthogonality. The general case of mixed level designs, without restrictions on the number of levels of each factor (like ..."
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(like primes or power of primes) is studied. This new methodology has been experimented on some significant classes of fractional factorial designs, including mixed level orthogonal arrays.
Uniformity In Fractional Factorials
 IN MONTE CARLO AND QUASIMONTE CARLO METHODS 2000
, 1999
"... The issue of uniformity is crucial in quasiMonte Carlo methods and in the design of computer experiments. In this paper we study the role of uniformity in fractional factorial designs. For fractions of two or threelevel factorials, we derive results connecting orthogonality, aberration and unifor ..."
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Cited by 2 (1 self)
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The issue of uniformity is crucial in quasiMonte Carlo methods and in the design of computer experiments. In this paper we study the role of uniformity in fractional factorial designs. For fractions of two or threelevel factorials, we derive results connecting orthogonality, aberration
FRACTIONAL FACTORIAL DESIGNS
"... 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 modelfree. It works for symmetrical and asymmetrical designs, r ..."
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Cited by 2 (2 self)
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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 modelfree. It works for symmetrical and asymmetrical designs
The efficiencies of fractional factorial designs
 Technometrics
, 2005
"... Abstract. A frequentlystated advantage of fractional factorial (FF) designs over onefactoratatime (1FAT) designs is their high relative efficiency. We study kfactor, 2krun designs, where k is a power of 2, where the usuallystated relative efficiency is k in favor of the resolution IV FF desi ..."
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Cited by 1 (0 self)
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Abstract. A frequentlystated advantage of fractional factorial (FF) designs over onefactoratatime (1FAT) designs is their high relative efficiency. We study kfactor, 2krun designs, where k is a power of 2, where the usuallystated relative efficiency is k in favor of the resolution IV FF
On the Definition of Effects in Fractional Factorial Designs
"... This paper simplifies a previous exposition of Rao's 1947 proof of his inequalities for orthogonal arrays. A key issue in the proof is the way in which one defines effects in a fractional factorial design. Here we replace the definition used in the earlier exposition with a simpler one, based o ..."
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This paper simplifies a previous exposition of Rao's 1947 proof of his inequalities for orthogonal arrays. A key issue in the proof is the way in which one defines effects in a fractional factorial design. Here we replace the definition used in the earlier exposition with a simpler one, based
ON COMPLEXES OF ABELIAN GROUPS WITH APPLICATIONS TO FRACTIONAL FACTORIAL DESIGNS
"... Key words ~phrases. Factorials, fractional factorial designs, groups, combinatorics, faithful complex, unfaithful complex, enumeration, permutation, information matrix, spectra. ..."
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Key words ~phrases. Factorials, fractional factorial designs, groups, combinatorics, faithful complex, unfaithful complex, enumeration, permutation, information matrix, spectra.
OPTIMAL FRACTIONAL FACTORIAL PLANS FOR ASYMMETRIC FACTORIALS
, 2002
"... Fractional factorial plans for asymmetric factorial experiments are obtained. These are shown to be universally optimal within the class of all plans involving the same number of runs under a model that includes the mean, all main effects and a specified set of twofactor interactions. Finite proje ..."
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Fractional factorial plans for asymmetric factorial experiments are obtained. These are shown to be universally optimal within the class of all plans involving the same number of runs under a model that includes the mean, all main effects and a specified set of twofactor interactions. Finite
Bounds on code distance and efficient fractional factorial experiments
 PROCEEDINGS OF THE IEEE INTERNATIONAL SYMPOSIUM OF INFORMATION THEORY
, 1998
"... The results presented in this paper are based on the correspondence between errorcorrecting codes and fractional factorial experiments. It is shown that under certain conditions, one can attain a smaller fractional factorial experiment by increasing the number of levels associated with each factor ..."
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Cited by 1 (1 self)
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The results presented in this paper are based on the correspondence between errorcorrecting codes and fractional factorial experiments. It is shown that under certain conditions, one can attain a smaller fractional factorial experiment by increasing the number of levels associated with each
Doptimal minimax fractional factorial designs
"... Abstract: The Doptimal minimax criterion is proposed to construct fractional factorial designs. The resulting designs are very efficient, and robust against misspecification of the effects in the linear model. The criterion was first proposed by ..."
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Abstract: The Doptimal minimax criterion is proposed to construct fractional factorial designs. The resulting designs are very efficient, and robust against misspecification of the effects in the linear model. The criterion was first proposed by
Results 1  10
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93,189