On Association Measures for Continuous Variables and Correction for Chance

Autor: Matthijs J. Warrens
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Journal of Probability and Statistics, Vol 2015 (2015)
Druh dokumentu: article
ISSN: 1687-952X
1687-9538
DOI: 10.1155/2015/375491
Popis: This paper studies correction for chance for association measures for continuous variables. The set of linear transformations of Pearson’s product-moment correlation is used as the domain of the correction for chance function. Examples of measures in this set are Tucker’s congruence coefficient, Jobson’s coefficient, and Pearson’s correlation. An equivalence relation on the set of linear transformations is defined. The fixed points of the correction for chance function are characterized. It is shown that each linear transformation is mapped to the fixed point in its equivalence class.
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