scispace - formally typeset
Search or ask a question

Showing papers by "Rahul Mukerjee published in 2012"


Journal ArticleDOI
TL;DR: In this paper, two-level fractional factorial designs are considered under a baseline parameterization and the criterion of minimum aberration is formulated in this context and optimal designs under this criterion are investigated.
Abstract: Two-level fractional factorial designs are considered under a baseline parameterization. The criterion of minimum aberration is formulated in this context and optimal designs under this criterion are investigated. The underlying theory and the concept of isomorphism turn out to be significantly different from their counterparts under orthogonal parameterization, and this is reflected in the optimal designs obtained. Copyright 2012, Oxford University Press.

25 citations


Journal ArticleDOI
TL;DR: In this paper, a systematic construction for 1/8th and 1/16th fraction quaternary codes with high resolution for any number of factors is presented, and a majority of these designs have larger resolution than comparable two-level regular designs.

8 citations


Posted Content
TL;DR: In this article, a general method for obtaining highly efficient factorial designs of relatively small sizes is developed for cDNA microarray experiments, which allows the main effects and interactions of successive orders to be of possibly unequal importance.
Abstract: A general method for obtaining highly efficient factorial designs of relatively small sizes is developed for cDNA microarray experiments. The method allows the main effects and interactions of successive orders to be of possibly unequal importance. First, the approximate theory is em-ployed to get an optimal design measure which is then discretized. It is, however, observed that a naive discretization may fail to yield an exact design of the stipulated size and, even when it yields such an exact design, there is often scope for improvement in efficiency. To address these issues, we propose a step-up/down procedure which is seen to work very well. The resulting highly efficient designs are found to remain almost free from possible dye-color effects under a suitable dye-color assignment. They are also seen to be quite robust to heteroscedasticity as may be caused by biological variability. We focus on the baseline and all-to-next parametrizations but our method works equally well also for hybrids of the two and other parametrizations.

5 citations


Journal ArticleDOI
TL;DR: This paper presents an account of research done in India over the last 70 years or so in the field of experimental design, and attempted to present a coherent history of the various developments in this area.
Abstract: Resume Cet article presente un panorama de la recherche indienne des 70 dernieres annees dans le domaine des plans d’experiences. Le travail accompli dans ce cadre est considerable, tant par le volume que par l'importance des contributions, et nous nous sommes attaches a en presenter un historique coherent. Les sujets traites incluent les carres latins mutuellement orthogonaux, les plans en blocs incomplets, les plans factoriels, les plans factoriels fractionnaires, les surfaces de reponse, les plans mixtes, les plans ligne-colonne et les etudes croisees. Summary This paper presents an account of research done in India over the last 70 years or so in the field of experimental design. This body of work is substantial, both in terms of depth and volume, and we have attempted to present a coherent history of the various developments in this area. The topics covered include mutually orthogonal Latin squares, incomplete block designs, factorial designs, fractional factorial plans, response surface and mixture designs, and row-column and crossover designs.

3 citations


Journal ArticleDOI
TL;DR: In this article, an explicit expression for the efficiency factors of natural contrasts of the forms linear, linear × linear and linear × quadratic was derived for the case of general s -level factorials where s > 3.

Journal ArticleDOI
01 Mar 2012-Test
TL;DR: In this paper, the authors study priors which ensure approximate frequentist validity of the posterior quantiles of a general parametric function and show that no data-free prior implies such validity.
Abstract: With reference to a wide class of empirical and related likelihoods, we study priors which ensure approximate frequentist validity of the posterior quantiles of a general parametric function. It is seen that no data-free prior entails such frequentist validity but, at least for the usual empirical likelihood, a data-dependent prior serves the purpose. Accounting for the nonlinearity of the parametric function of interest requires special attention in the derivation. A simulation study is seen to provide support, in finite samples, to our asymptotic results.