A Note on the Equivalence of Two Test Criteria for Hypotheses in Categorical Data

Abstract It is shown in this note that for testing linear hypotheses in categorical data Wald's statistic 1943 is equivalent (i.e., algebraically-identical) to the χ2 1 statistic of Neyman 1949, and for testing nonlinear hypotheses it is equivalent to the χ2 1 statistic using Neyman's linearization technique, whenever these χ2 1 statistics are defined.