Null Distribution of the Hodges Bivariate Sign Test

Abstract

This note presents the solution to the problem of obtaining the full null distribution for the bivariate sign test proposed by J. L. Hodges, Jr., in 1955 [1]. The partial solution of [1] is completed, and the table of [1] is extended to give the full distribution up to a sample size $(n)$ of 30. In addition a partial table is included for sample size from 31 to 50.