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

V. P. Bhapkar
Journal of the American Statistical Association
Vol. 61, No. 313 (Mar., 1966), pp. 228-235
DOI: 10.2307/2283057
Stable URL: http://www.jstor.org/stable/2283057
Page Count: 8
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A Note on the Equivalence of Two Test Criteria for Hypotheses in Categorical Data
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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 χ21 statistic of Neyman [1949], and for testing nonlinear hypotheses it is equivalent to the χ21 statistic using Neyman's linearization technique, whenever these χ21 statistics are defined.

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