Consider an experimental situation where it is desired to compare more than one test treatments with a control treatment. In this paper a method is presented for achieving E-optimal incomplete block design for this situation under the assumption that the observations within each block are correlated. Then an algorithm is provided for making optimal design based on above-mentioned method. This algorithm for any correlation structure with negative non-diagonal elements is applicable.
Doosti Irani M, Pooladsaz S. E-Optimal Block Design for Comparing Treatments with a Control and Correlated Observations. JSS 2012; 5 (2) :188-179 URL: http://jss.irstat.ir/article-1-108-en.html