In this paper we consider experimental situations where a 2-level main effects plan is to be used to study m-factors using n runs which are partitioned into b blocks of size k=n/b and where k is an odd integer. For odd k≥3 and certain cases where b is a multiple of k, we show how to construct...

Deng and Tang (1999) proposed the generalized minimum aberration (GMA) criterion to assess fractional factorial designs, and a design with GMA is often regarded as the best. However, there exist situations where some other designs may suit practical needs better. In this article, we propose an...

A method for the construction of v x b matrices with elements 1, -1, such that XX' = bI, is given.