Influence Functions on $ {\chi}^2$ Statistic in Contingency Tables
Honggie Kim, Hee‐Sook Lee · Communications for Statistical Applications and Methods · 1996
In a two-way contingency table, the analyst is most interested in the hypotheses of either homogeneity or independence. For testing this as a null hypothesis, Pearson's statistic is most commonly used in practice. Once the null Hypothesis is rejected, he will further search forcells which caused the rejection of the null hypothesis. For this purpose, so called cell components are used. In this paper, we derive the influence function of an obsevation to the statistic, with which cells with high influence can be identified.