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Journal ArticleDOI

Further Results on the Analysis of Factorial Experiments

TLDR
In this article, the concepts of intcr-effect-orthogonality and regularity in factorial experiments have been generalised to the concept of inter effect-ortho-onality of order t. and corresponding necessary and sufficient conditions have been given.
Abstract
The concepts of intcr-effect-orthogonality and regularity in factorial experiments as introduced by Mukerjee (1979) have been generalised to the concepts of inter-effect-orthogonality and regularity of order t. and corresponding necessary and sufficient conditions have been given. The problems of balancing, retaining full information and calculation of sums of squares have also been considered.

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Citations
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Journal ArticleDOI

Optimal repeated measurements designs under interaction

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.
Journal ArticleDOI

Construction of effect-wise orthogonal factorial designs

TL;DR: In this article, two distinct methods have been proposed for the construction of effect-wise orthogonal factorial designs, which ensure desirable properties with respect to main effects and require a smaller number of replications than any of the existing methods.
Journal ArticleDOI

Theory & Methods: Cross-over Designs in the Presence of Higher Order Carry-overs

TL;DR: In this paper, the authors proposed a model which allows for the possible presence of carryover effects up to k subsequent periods, together with all the interactions between treatments applied at k+ 1 successive periods.
Journal ArticleDOI

Optimal crossover designs under a general model

TL;DR: The model is modified by relaxing assumptions and a class of designs is shown to be universally optimal under the modified model, showing the optimality properties of cross-over designs.
Dissertation

Experimental Designs Involving Treatments Exhibiting Interference Effects

Arpan Bhowmik
TL;DR: In this article, the authors proposed a method to solve the problem of the lack of information in the Internet: https://www.web.archive.org/web.access.