On the Equivalence of the Information‐Theoretic Transmission‐Measure to the Common χ 2  Statistic | Zendy

von Eye Alexander | Zendy

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On the Equivalence of the Information‐Theoretic Transmission‐Measure to the Common χ 2 Statistic

Author(s) -

von Eye Alexander

Publication year - 1982

Publication title -

biometrical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.108

H-Index - 63

eISSN - 1521-4036

pISSN - 0323-3847

DOI - 10.1002/bimj.4710240411

Subject(s) - statistic , equivalence (formal languages) , mathematics , statistics , measure (data warehouse) , sufficient statistic , information theory , sample size determination , discrete mathematics , combinatorics , statistical physics , computer science , physics , data mining

The results of a simulation study are presented in which the χ 2 ‐and the information theoretic approach to association measurement were compared to one another. It could be shown that neither the maximal values nor the minimal values obtainable for a given sample size coincide in all cases. The underlying association concepts are defined; implications are discussed.

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