A class of models is considered to describe the data to be collected using a design of experiment. One model within the class will possibly describe the data more adequately than the others which will be the “true model” but we do not know its identification. In the pioneering work of...

Model identification and discrimination are two major statistical challenges. In this paper we consider a set of models for factorial experiments with the parameters representing the general mean, main effects, and only k out of all two-factor interactions. We consider the class of all...