The classes of designs produced by well-known confounding methods are compared for single replicate factorial experiments involving a single blocking factor. It is shown that several of these methods produce equivalent classes of designs, whilst others produce a subset of this common class. It is shown that in certain experimental settings the use of pseudofactors does not enlarge the size of the common class of designs.
"A Comparison of Classes of Single Replicate Factorial Designs." Ann. Statist. 15 (1) 376 - 384, March, 1987. https://doi.org/10.1214/aos/1176350272