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

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Date
2018
Publisher city
Paris
Publisher
Preprint Lamsade
Collection title
Preprint Lamsade
Link to item file
https://hal.archives-ouvertes.fr/hal-02012452
Dewey
Principes généraux des mathématiques
Sujet
causality; Pearson correlation coefficient; graphical heat map
URI
https://basepub.dauphine.fr/handle/123456789/18909
Collections
  • LAMSADE : Publications
Metadata
Show full item record
Author
Benhamou, Eric
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Melot, Valentin
91477 Ecole Normale Supérieure
Type
Document de travail / Working paper
Item number of pages
22
Abstract (EN)
This paper revisits the Pearson Chi-squared independence test. After presentingthe underlying theory with modern notations and showing new way of deriving theproof, we describe an innovative and intuitive graphical presentation of this test. Thisenables not only interpreting visually the test but also measuring how close or far weare from accepting or rejecting the null hypothesis of non independence.

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