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In this paper we present an effective algorithm for the construction and the identification of two-level nonisomorphic orthogonal
arrays. Using this algorithm, we identify and list a full catalogue of nonisomorphic orthogonal arrays with parameters OA(24,7,2,t), OA(28,6,2,t) and OA(32,6,2,t), t ≥ 2. Some statistical properties of these designs are also considered. 相似文献
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In this paper we construct all possible orthogonal arrays OA(18,q, 3,2) with 18 runs and 3 ≤ q ≤ 7 columns and present those that are nonisomorphic. A discussion on the novelty and the superiority of many of the designs
found in terms of isomorphism and generalized minimum aberration has been made.
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Screening designs are useful for situations where a large number of factors are examined but only a few, k, of them are expected to be important. Traditionally orthogonal arrays such as Hadamard matrices and Plackett Burman designs have been studied for this purpose. It is therefore of practical interest for a given k to know all the classes of inequivalent projections of the design into the k dimensions that have certain statistical properties. In this paper we present 15 inequivalent Hadamard matrices of order n=32 constructed from circulant cores. We study their projection properties using several well-known statistical criteria and we provide minimum generalized aberration 2 level designs with 32 runs and up to seven factors that are embedded into these Hadamard matrices. A concept of generalized projectivity and design selection of such designs is also discussed.AMS Subject Classification: Primary 62K15, Secondary 05B20 相似文献
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We consider two related models for interference: one having different directional neighbour effects and one with the same
neighbour effects. We show that optimal designs for one model can be obtained from optimal designs for the other model.
Acknowledgement. We are grateful to H. Kushner for advance notice of his work. SP was supported by the Isfahan University of Technology, Iran. 相似文献
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This paper examines nested 2 ×2 row-column designs when within-block observations are assumed to be dependent. The model
considered has fixed block effects, which may also include row and/or column effects. Optimal binary and non-binary designs,
constructed from semi-balanced arrays, are given under both generalised and ordinary least squares estimation. It is shown
that binary designs are optimal when dependence is low. In general, however, the optimal designs are highly specific to the
correlation values.
Received: October 1999 相似文献
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Enkelejd Hashorva 《Metrika》2008,68(3):289-304
In this article we discuss the asymptotic behaviour of the componentwise maxima for a specific bivariate triangular array.
Its components are given in terms of linear transformations of bivariate generalised symmetrised Dirichlet random vectors
introduced in Fang and Fang (Statistical inference in elliptically contoured and related distributions. Allerton Press, New
York, 1990). We show that the componentwise maxima of such triangular arrays is attracted by a bivariate max-infinitely divisible
distribution function, provided that the associated random radius is in the Weibull max-domain of attraction. 相似文献