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Showing papers by "Rahul Mukerjee published in 1988"


Reference BookDOI
TL;DR: Randomized Response as discussed by the authors is mandatory reading for statisticians and biostatisticians, market researchers, operations researchers, pollsters, sociologists, political scientists, economists and advanced undergraduate and graduate students in these areas.
Abstract: Offering a concise account of the most appropriate and efficient procedures for analyzing data from queries dealing with sensitive and confidential issues- including the first book-length treatment of infinite and finite population set-ups - this volume begins with the simplest problems, complete with their properties and solutions, and proceeds to incrementally more difficult topics. Randomized Response is mandatory reading for statisticians and biostatisticians, market researchers, operations researchers, pollsters, sociologists, political scientists, economists and advanced undergraduate and graduate students in these areas.

337 citations


Journal ArticleDOI
TL;DR: In this paper, the design problem for the estimation of variance components by the method of unweighted squares of means, under a multifactor random effects model, is considered, and it is shown that with the numbers of levels of the factors fixed, a balanced design, if it exists, is optimal.
Abstract: The design problem for the estimation of variance components by the method of unweighted squares of means, under a multifactor random effects model, is considered. First it is shown that with the numbers of levels of the factors fixed, a balanced design, if it exists, is optimal. Next the numbers of levels are also treated as decision variables and the derivation of minimax designs is indicated.

14 citations


Journal ArticleDOI
TL;DR: In this article, an approximate theory employing FBECHET derivative is utilized to derive optimal weighing designs under D- and A-optimality criteria, without and with restriction on the number of objects that may be included in a weighing, are considered.
Abstract: Approximate theory employing FBECHET derivative is utilized to derive optimal weighing designs under D- and A-optimality criteria. Both spring and chemical balance designs, without and with restriction on the number of objects that may be includ¬ed in a weighing, are considered. The optimality of some exact (discrete) designs is demonstrated

7 citations


Journal ArticleDOI
TL;DR: In this paper, the authors considered the application of Kronecker product for the construction of factorial designs, with orthogonal factorial structure, in a set-up for multiway elimination of heterogeneity.
Abstract: This paper considers the application of Kronecker product for the construction of factorial designs, with orthogonal factorial structure, in a set-up for multiway elimination of heterogeneity. A technique involving the use of projection operators has been employed to show how a control can be achieved over the interaction efficiencies. A modification of the ordinary Kronecker product yielding smaller designs has also been considered. The results appear to have a fairly wide coverage.

5 citations


Journal ArticleDOI
TL;DR: In this article, a method based on non-negative definiteness of moment matrices is described for deriving upper bounds on the number of constraints in balanced arrays of strength t, involving two or more symbols.

4 citations


Journal ArticleDOI
TL;DR: In this article, a wide class of block designs admitting a simple analysis has been considered and the statistical properties of such designs have been indicated and the problems relating to their characterization and construction have been investigated.
Abstract: A wide class of block designs admitting a simple analysis has been considered. The statistical properties of such designs have been indicated and the problems relating to their characterization and construction have been investigated.

3 citations


Journal ArticleDOI
TL;DR: In this paper, the authors considered non-equireplicate factorial designs based on the Kronecker product of varietal designs and showed that the factorial effect efficiencies in such designs can be controlled by suitably choosing the initial varietal design.

2 citations