The Concept of Majorization in Experimental Design
Journal
Communications in Statistics - Theory and Methods
Date Issued
July 30, 2012
Author(s)
DOI
10.1080/03610926.2011.607533
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.