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Showing papers by "Rahul Mukerjee published in 1987"


Journal ArticleDOI
TL;DR: In this article, the authors consider a practical situation where information on two auxiliary variables related to the study variable is available at different levels and compare them under the mean square error criterion.
Abstract: Summary In this paper we consider a practical situation where information on two auxiliary variables related to the study variable is available at different levels. Following Kiregyera (1980, 1984) who has obtained a chain ratio-to-regression estimator and regression to regression estimator, we shall study several estimators that arise naturally in this context and compare them under the mean square error criterion. We extend these results to the case when multiple auxiliary information is available.

51 citations


Journal ArticleDOI
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.

47 citations


Journal ArticleDOI
TL;DR: In this paper, the necessary and sufficient conditions for a quadratic form x′Ax to be distributed as chi-square were established when μ = 0 and Σ = I.

9 citations


Journal ArticleDOI
TL;DR: In this paper, an asymptotic comparison between Rao's test and the locally most powerful unbiased (LMPU) test under contiguous alternatives, both test having the same size α (up to o(n−1)).

7 citations


Journal ArticleDOI
TL;DR: In this article, a rotatable fourth-order rotatable design was proposed and some open problems on the design of the rotatable rotator were solved, and the open problems were solved.
Abstract: Recently, Draper and Herzberg posed some open problems on fourth order rotatable designs. It has been attempted to settle these open problems.

6 citations



Journal ArticleDOI
TL;DR: In this paper, the variance of the difference between estimated response at two responses at two points maximized over all pairs of points in the extrapolation region is taken as the criterion for selecting designs.

2 citations


Journal ArticleDOI
TL;DR: Considering factorial designs for quality-quantity interaction, necessnry and sufficient conditions for inter-and intra-effect orthogonality have been derived as discussed by the authors, and some methods of construction are also indicated.
Abstract: Considering factorial designs for quality-quantity interaction, necessnry and sufficient conditions for inter—and intra-effect orthogonality have been derived. Some methods of construction are also indicated.