Showing papers by "Rahul Mukerjee published in 2001"
TL;DR: In this paper, the problem of constructing optimal blocked regular fractional factorial designs with maximum estimation capacity was considered and a finite projective geometric approach was used to obtain general results.
Abstract: In this paper, the problem of constructing optimal blocked regular fractional factorial designs is considered. The concept of minimum aberration due to Fries and Hunter is a wellaccepted criterion for selecting good unblocked fractional factorial designs. Cheng, Steinberg and Sun showed that a minimum aberration design of resolution three or higher maximizes the number of twofactor interactions which are not aliases of main effects and also tends to distribute these interactions over the alias sets very uniformly. We extend this to construct block designs in which (i) no main effect is aliased with any other main effect not confounded with blocks, (ii) the number of twofactor interactions that are neither aliased with main effects nor confounded with blocks is as large as possible and (iii) these interactions are distributed over the alias sets as uniformly as possible. Such designs perform well under the criterion of maximum estimation capacity, a criterion of model robustness which has a direct statistical meaning. Some general results on the construction of blocked regular fractional factorial designs with maximum estimation capacity are obtained by using a finite projective geometric approach.
26 citations
TL;DR: In this article, higher-order asymptotics on expected lengths of associated confidence intervals are investigated in a possibly non-iid setting, and the connection with Bartlett adjustability is also indicated.
13 citations
TL;DR: In this article, conditions are obtained for the approximate frequentist validity of the posterior quantiles of any smooth parametric function, and an application to Bayesian tolerance limits is indicated; see Section 2.1.
Abstract: SUMMARY Conditions are obtained for the approximate frequentist validity of the posterior quantiles of any smooth parametric function. An application to Bayesian tolerance limits is indicated.
10 citations
TL;DR: In this paper, the authors give a characterization for orthogonal arrays of strength two in terms of D-optimality under a multiple regression model with continuous factor levels, which is similar to the one presented in this paper.
8 citations
TL;DR: In this article, the authors consider a large class of test statistics which includes the likelihood ratio, Rao's score and Wald's statistics in particular, and study Bartlett adjustability and third-order power in a possibly non-iid setting.
5 citations