Decomposition of the Gray-Williams "tau" in main and interaction effects by ANOVA in three-way contingency table
The identification of meaningful relationships between two or more categorical variables is an important, and ongoing, element to the analysis of contingency tables. It involves detecting categories that are similar and/or different to other categories. Correspondence analysis can be used to detect...
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| Dokumentumtípus: | Könyv része |
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2010
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| Sorozat: | Proceedings of the Challenges for Analysis of the Economy, the Businesses, and Social Progress : International Scientific Conference Szeged, November 19-21, 2009
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| Kulcsszavak: | Kontingencia táblák |
| Online Access: | http://acta.bibl.u-szeged.hu/57794 |
| Tartalmi kivonat: | The identification of meaningful relationships between two or more categorical variables is an important, and ongoing, element to the analysis of contingency tables. It involves detecting categories that are similar and/or different to other categories. Correspondence analysis can be used to detect such relationships by providing a graphical interpretation of the association between the variables, and it is especially useful when it is known that this association is of a symmetric nature. (Greenacre 1984), (Lebart et al. 1984). In this paper, we will explore the Gray-Williams index when used as the measure of association in non-symmetrical correspondence analysis (NSCA). It will be shown that, by concatenating a predictor variable of a three-way contingency table, the two measures are equivalent. The paper will analyse the sum of squares for nominal data partitioning the Sum of squares for main effects and the interaction in the sense of analysis of variance giving an orthogonal decomposition of Gray Williams index. |
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| Terjedelem/Fizikai jellemzők: | 55-75 |
| ISBN: | 978-963-06-9558-9 |