Tests in Contingency Tables as Regression Tests
28 Pages Posted: 5 Sep 2006
Date Written: September 4, 2006
Abstract
Applied researchers often use tests based on contingency tables in preliminary data analysis and diagnostic testing. We show that many of such tests may be alternatively implemented by testing for coefficient restrictions in linear regression systems (as a rule, employing the Wald test). This unifies the theories of regression analysis and contingency tables, sheds more light on intuitive contents of contingency table tests, and provides a more convenient and familiar tool for practitioners.
Keywords: Contingency table, Linear regression, ?2-test, Wald test, Ranks
JEL Classification: C12, C22, C32, C53
Suggested Citation: Suggested Citation
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