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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
Abstract 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.