The Concept of Majorization in Experimental Design
Journal
Communications in Statistics - Theory and Methods
Date Issued
July 30, 2012
Author(s)
Abstract
Row and column designs are examined and the concept of majorization is applied to find optimal designs,when the observations are either independent or dependent. The dependence follows a first-order autoregression with parameter α. The case of two treatments is examined and the universally optimal or φ-optimal designs are given, for different values of a, when the number of experimental units is even or odd. A filtering procedure is followed to reduce the number of competing designs. Copyright © Taylor & Francis Group, LLC.