Singular Weighing Designs and a Reflexive Generalized Inverse

Abstract

In [1] the problem of singular weighing designs was cast in the framework of a reflexive generalized inverse, and it was shown how a singular design could be augmented to secure maximized efficiency. This note proves, in the same context, a theorem which may be called an analog of Price's Theorem, R. 16, in respect of the generalized inverse used in [1].