Description
Speaker: Dr. Satya P Singh,
Department of Statistics University of Haifa Israel
Title: Some issues in the design of experiments with ordered
experimental treatments
Abstract: There are many situations where one expects an ordering
among K>2 experimental groups or treatments. Although there is a
large body of literature dealing with the analysis under order
restrictions, surprisingly very little work has been done in the
context of the design of experiments. Here, we provide some key
observations and fundamental ideas which can be used as a guide for
designing experiments when an ordering among the groups is known in
advance. Designs maximizing power as well as designs based on single
and multiple contrasts are discussed. The theoretical findings are
supplemented by numerical illustrations.