Journal ArticleDOI
Optimal Block Designs With Interference Effects From Neighboring Units Under a Non Additive Model
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In this paper, the optimality of block design with interference effect from neighboring unit under a general non-additive model is investigated, which allows for the presence of interactions among the treatments applied in the adjacent plots.Abstract:
Here, the optimality of block design with interference effect from neighboring unit under a general non additive model is investigated, which allows for the presence of interactions among the treatments applied in the adjacent plots. A non additive model with interference × direct effects of treatments is considered as these effects contribute significantly to the response. A class of complete block designs balanced for interference effects from left neighboring unit is shown to be universally optimal for the estimation of direct and interference effects of treatments and two such series of designs have been constructed. Furthermore, considering direct treatment × block non additivity with interference effects, the optimality is studied and the optimal designs are obtained.read more
Citations
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Journal ArticleDOI
Optimal block designs with non additive mixed effects interference
TL;DR: In this paper, the optimality aspects of block designs balanced for interference effects from neighboring units on both sides under a general non-additive model along with random block effects are discussed.
Journal ArticleDOI
A note on optimal directional neighbour designs with random block effect
TL;DR: The optimality aspects of directional neighbor balanced block design under the assumption of randomness of block effects, both under additive and neighbor × direct effects non-additive model are dealt with.
References
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Journal ArticleDOI
Optimality of neighbour balanced designs
TL;DR: In this article, the optimality of circular neighbor-balanced block designs with treatment and neighbour effects was studied. But the optimalities of these designs were not investigated for a large class of competing designs.
Journal ArticleDOI
A Calculus for Factorial Arrangements
B. Kurkjian,M. Zelen +1 more
TL;DR: In this article, a special calculus for the analysis of asymmetric factorial experiments is introduced, which enables many large order arithmetic operations, necessary for analyzing factorial designs, to be partly carried out by logical operations.
Journal ArticleDOI
Optimal repeated measurements designs under interaction
Mausumi Sen,Rahul Mukerjee +1 more
TL;DR: In this article, the robustness of non-additive repeated measurements is investigated when the underlying model is allowed to be nonadditive incorporating an interaction due to the direct and residual effects of treatments.
Book
A calculus for factorial arrangements
Sudhir Gupta,Rahul Mukerjee +1 more
TL;DR: In this paper, a factorial experiment involving n factors, F1, F2, F n, at m1, m2,..., m n (≥2) levels respectively, is considered and the effect due to this treatment combination is denoted by τ(j1,j2, j n ).
Journal ArticleDOI
Optimality of neighbour balanced designs when neighbour effects are neglected
Jean-Marc Azaïs,Pierre Druilhet +1 more
TL;DR: In this paper, the optimality properties of neighbour balanced designs when neighbor effects are not taken into account in the analysis model were studied. But the authors only considered two types of designs for t treatments: (1) designs with t − 1 blocks of length t and (2) ones with t blocks of lengths t − 2.