On the Design of Experiments with Ordered Treatments
具有处理顺序约束的实验设计
Summary 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, a principled approach to the design of experiments with ordered treatments is provided. In particular we propose two classes of designs which are optimal for testing different…