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Yule‐Coefficients for Second‐ and Higher‐Order Associations
Author(s) -
Lienert G. A.,
von Eye A.
Publication year - 1986
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.4710280504
Subject(s) - contingency table , mathematics , nonparametric statistics , association (psychology) , binary number , statistics , cube (algebra) , binary data , order (exchange) , parametric statistics , simple (philosophy) , combinatorics , arithmetic , psychology , philosophy , finance , epistemology , economics , psychotherapist
The well‐known Q coefficient of association defined by YULE (1900) for two attributes is generalized from first‐order association Q to second‐order association Q for three attributes and to higher‐order Q's for more than three attributes (or binary variables). Q analysis of t binary variables is shown to be a suitable means for describing simple (quasi‐parametric) or complex (multi‐nonparametric) relationships in a t ‐dimensional contingency cube. A biometrical example is given using clinical data.