On Association Measures for Continuous Variables and Correction for Chance
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, Job...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2015/375491 |
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| _version_ | 1832559373860208640 |
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| author | Matthijs J. Warrens |
| author_facet | Matthijs J. Warrens |
| author_sort | Matthijs J. Warrens |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ce4deab58e814376909c3db8014e2c51 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-ce4deab58e814376909c3db8014e2c512025-02-03T01:30:17ZengWileyJournal of Probability and Statistics1687-952X1687-95382015-01-01201510.1155/2015/375491375491On Association Measures for Continuous Variables and Correction for ChanceMatthijs J. Warrens0GION, University of Groningen, Grote Rozenstraat 3, 9712 TG Groningen, NetherlandsThis 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.http://dx.doi.org/10.1155/2015/375491 |
| spellingShingle | Matthijs J. Warrens On Association Measures for Continuous Variables and Correction for Chance Journal of Probability and Statistics |
| title | On Association Measures for Continuous Variables and Correction for Chance |
| title_full | On Association Measures for Continuous Variables and Correction for Chance |
| title_fullStr | On Association Measures for Continuous Variables and Correction for Chance |
| title_full_unstemmed | On Association Measures for Continuous Variables and Correction for Chance |
| title_short | On Association Measures for Continuous Variables and Correction for Chance |
| title_sort | on association measures for continuous variables and correction for chance |
| url | http://dx.doi.org/10.1155/2015/375491 |
| work_keys_str_mv | AT matthijsjwarrens onassociationmeasuresforcontinuousvariablesandcorrectionforchance |