Volume no :12, Issue no: 1, September (2014)

A GLOBAL CONVERGENT SEQUENCE FOR CONSTRUCTION OF D-OPTIMAL EXACT DESIGNS IN AN INFINITE SPACE OF TRIALS

Author's: Ike Basil Onukogu and Fidelis Nsude
Pages: [39] - [52]
Received Date: September 3, 2014
Submitted by:

Abstract

A very effective line search method for constructing D-optimal exact designs is reported in the paper for polynomial response functions defined in an infinite space of trials. The direction of search is a weighted gradient vector where the weights are proportional to the variances of the response function measured over a spread of points in the space of trials. The search system is rapidly convergent and its application in block designs as well as in irregular geometric space are shown.

Keywords

D-optimality, product of intervals, super convergent line series, double platform search system, variance function, block designs.