Showing papers by "Rahul Mukerjee published in 1984"
TL;DR: In this article, the variance of the difference between estimated responses at two points maximized over all pairs of points in the design space is taken as the criterion for selecting designs, and optimal designs under the criterion are derived for second-order polynomial models.
Abstract: SUMMARY Minimization of the variance of the difference between estimated responses at two points maximized over all pairs of points in the design space is taken as the criterion for selecting designs. Optimal designs under the criterion are derived for second-order polynomial models- when the design spaces are spherical.
27 citations
TL;DR: In this article, the asymptotic optimality of Rao's test within a very wide class of tests that includes the likeli hood ratio test and Wald's test was established.
Abstract: This paper establishes the asymptotic optimality of Rao's test within a very wide class of tests that Includes the likeli hood ratio test and Wald's test. An expression for the defici¬ency of the tests in this class relative to Rao's test has also been obtained
21 citations