An algorithm for the construction of "D-optimal" experimental designs

This paper presents the algorithm "DETMAX" whose purpose is to construct ex perimental designs that are "D-optimal." These are designs for which the de terminant of X'X is maximum, where X is the imatrix of independent variable s" in the usual linear model y = X beta + epsilon. Although the algorithm d oes not guarantee D-optimality, it has performed well in many cases where D -optimal designs are known. Five examples are given, illustrating the use o f DETMAX to construct designs "from scratch" and to augment existing data. A FORTRAN Listing is available on request.