Experimental design and priority PLS regression

In this paper some fundamental issues of experimental design are treated. The rules, ideas and algorithms of the H-principle are used to analyse models that are derived from experimental design. A new approach to analysing models from experimental design is proposed that is called priority PLS regression. The idea is to study the models sequentially, where we focus on a part of the design matrix X at each step. The basic ideas of experimental design are reviewed and 'matched' with the methodology of the H-principle.