Probabilistic foundations for coefficients of generalizability

This paper explores certain problems which arise within the context of the theory of generalizability put forward by Cornbach, Rajaratnam, and Gleser. In particular, a formal explication of their theory for the single observation is given, and the various coefflcients of generalizability which they define are related to the estimation of universe scores.This work is based on a Master's thesis submitted to the University of Illinois in 1963. The author is particularly indebted to Dr. Lee J. Cornbach and Dr. Ledyard R Tucker for their unstinted advice and help.