Title: Some issues in the design of experiments with ordered experimental treatments
Authors: Satya PrakashSingh - University of Haifa (Israel) [presenting]
Ori Davidov - University of Haifa (Israel)
Abstract: There are many situations where one expects an ordering among $K\geq 2$ 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. 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. The power of the restricted likelihood ratio test is used as a design selection criterion. To address the dependency of the design criterion on the unknown model parameters, a maxi-min approach is incorporated. These maxi-min designs are then compared to some of the existing designs from the literature.