Journal ArticleDOI
Optimal main effect plans with non‐orthogonal blocking
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In this article, a construction procedure is given using generalised Youden designs in conjunction with orthogonal arrays to obtain optimal main effect plans in the practically important situation where each factor has two or three levels and the block size is small.Abstract:
The current literature on fractional factorial plans in block designs centres around orthogonal blocking which may not, however, always be attainable because of practical restrictions on the block size. For general factorials, including asymmetric ones, sufficient conditions are indicated in this paper for a main effect plan to be universally optimal under possibly non-orthogonal blocking. A construction procedure is given using generalised Youden designs in conjunction with orthogonal arrays. We also illustrate how the procedure can be applied to obtain optimal main effect plans in the practically important situation where each factor has two or three levels and the block size is small.read more
Citations
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Journal ArticleDOI
Optimal designs for main effects in linear paired comparison models
TL;DR: In this article, the authors present optimal designs in a discrete setting when the alternatives are specified by an analysis of variance model with main effects only, and they employ combinatorial tools to achieve optimal designs which have sufficiently small sample sizes.
Journal ArticleDOI
Optimal paired comparison designs for first-order interactions
TL;DR: In this article, the authors introduce an appropriate model and derive optimal designs in the presence of interactions when all attributes have the same number of levels, for paired comparisons in which either full or partial profiles of the alternatives are presented.
Journal Article
Optimal main effect plans with non-orthogonal blocks
Ashish Das,Aloke Dey +1 more
TL;DR: In this article, a construction procedure is given for situations where the procedure of Mukerjee et al. (2002) is inapplicable, for non-orthogonal blocks.
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Optimal main effect plans in blocks of small size
Mausumi Bose,Sunanda Bagchi +1 more
TL;DR: In this paper, a universally optimal main effect plan (MEP) for an s s experiment on s 2 ( s - 1 ) / 2 nonorthogonal blocks of size two each, s a power of 2.
Journal ArticleDOI
Constructing D-optimal symmetric stated preference discrete choice experiments
TL;DR: In this paper, the authors give new constructions for DCEs in which all attributes have the same number of levels and assume that only the main effects of the attributes are to be used to explain the results.
References
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Fractional Factorial Plans
Aloke Dey,Rahul Mukerjee +1 more
TL;DR: Fractional plans and orthogonal arrays have been extensively studied in the literature, see as discussed by the authors for a survey of some of the most relevant works. But nonexistence of fractional plans has been discussed.
Journal ArticleDOI
Blocking in regular fractional factorials: a projective geometric approach
Rahul Mukerjee,C. F. J. Wu +1 more
TL;DR: In this paper, a projective geometric characterization of the existence of regular main effects in regular factorial block designs is given and a constructive method for finding a maximal blocking scheme for any given fractional factorial design is given in terms of the minimum aberration property of a certain unblocked design.