1981•The American StatisticianRequires access

On Pearson's Chi-Squared Statistic for Independence in Two-Way Contingency Tables

Zvi Gilula

Abstract

This article discusses a representation of Pearson's chi-square for independence in two-way contingency tables in terms of conditional probabilities of two categorical random variables and proposes a functional interpretation of Pearson's chi-square. This representation is suggested for use in the teaching of statistical independence between categorical variables.

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Key concepts: Contingency table, Pearson's chi-squared test, Categorical variable, Mathematics, Statistics, Chi-square test, Independence (probability theory), Statistic