Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Influence Functions on $ {\chi}^2$ Statistic in Contingency Tables

  • Honggie Kim (Assistant Professor, Department of Statistics, Chungnam National University, Daejon, 305-746, Korea) ;
  • Hee-Sook Lee (Lecturer, Department of Computer & Information Engineering, Kongju National Junior College, Chungnam, 314-060, Korea)
  • Published : 1996.08.01
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Abstract

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 ${\chi}^2$ 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${\chi}^2$ components are used. In this paper, we derive the influence function of an obsevation to the ${\chi}^2$ statistic, with which cells with high influence can be identified.

Keywords

References

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