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

Zvi Gilula

doi:10.1080/00031305.1981.10479315

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

Zvi Gilula

Year: 1981 Journal: The American Statistician Vol: 35 (2)Pages: 96-97 Publisher: Taylor & Francis

DOI: 10.1080/00031305.1981.10479315

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Abstract

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.

Keywords:

Contingency table Pearson's chi-squared test Categorical variable Mathematics Statistics Chi-square test Independence (probability theory) Statistic Pearson product-moment correlation coefficient Representation (politics) Econometrics Test statistic Statistical hypothesis testing

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Advanced Statistical Methods and Models

Physical Sciences → Mathematics → Statistics and Probability

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

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