Hierarchical partitioning

Chevan, A. and Sutherland, M. (1991) Hierarchical partitioning. The American Statistician, 45 (2). pp. 90-96.

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Many users of regression methods are attracted to the notion that it would be valuable to determine the relative importance of independent variables. This article demonstrates a method based on hierarchies that builds on previous efforts to decompose R2 through incremental partitioning. The standard method of incremental partitioning has been to follow one order among the many possible orders available. By taking a hierarchical approach in which all orders of variables are used, the average independent contribution of a variable is obtained and an exact partitioning results. Much the same logic is used to divide the joint effect of a variable. The method is general and applicable to all regression methods, including ordinary least squares, logistic, probit, and log-linear regression. A validation test demonstrates that the algorithm is sensitive to the relationships in the data rather than the proportion of variability accounted for by the statistical model used

Item Type: Article
Author Affiliation: Professor, Department of Sociology, University of Massachusetts, Amberst, MA 01003
Subjects: Social Sciences
Divisions: General
Depositing User: Syamala
Date Deposited: 21 Jul 2011 10:21
Last Modified: 21 Jul 2011 10:21
Official URL: http://dc149.4shared.com/doc/jjJOM8pf/preview.html
URI: http://eprints.icrisat.ac.in/id/eprint/2424

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