Seven proofs of the Pearson Chi-squared independence test and its\n graphical interpretation

2018/08/28 by Eric Benhamou, Benhamou, Eric, Valentin Melot +1 · 1 citation
Computer Science · #Computer Graphics and Visualization Techniques #Data Management and Algorithms #Data Visualization and Analytics #FOS: Mathematics #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1808.09171

openalex publication_date 2018/08/28 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

This paper revisits the Pearson Chi-squared independence test. After\npresenting the underlying theory with modern notations and showing new way of\nderiving the proof, we describe an innovative and intuitive graphical\npresentation of this test. This enables not only interpreting visually the test\nbut also measuring how close or far we are from accepting or rejecting the null\nhypothesis of non independence\n

Citations

• The distribution of quadratic forms in a normal system, with applications to the analysis of covariance

Cited by

• Exponential increase of the power of the independence and homogeneity chi-square tests with auxiliary information

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