The universal optimality of certain deletion designs with respect to main effects has been proved. In particular, this settles a recent conjecture by Voss (1986).

We consider a general class of empirical-type likelihoods for a vector-valued population mean. Members of the class that admit a matching prior, in a higher order asymptotic sense, for the posterior and frequentist cumulative distribution functions are characterized. The results are compared and...

We give a characterization for orthogonal arrays of strength two in terms of D-optimality under a multiple regression model with continuous factor levels.

The random vector x is said to have an elliptical contoured distribution provided its characteristic function (c.f.) is exp([radical sign]- 1 t'[mu]) [phi] (t' [Sigma]t) for all t [epsilon] Rp, where [mu] [epsilon] Rp and [Sigma] is positive semi-definite. When [mu] = 0 and [Sigma] = I, the...

Minimization of the variance of the difference between estimated response at two response at two points maximized over all pairs of points in the extrapolation region is taken as the criterion for selecting designs. Optimal designs under the criterion are derived for second-order models.