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Practical variable selection for generalized additive models


Reference:

Marra, G. and Wood, S. N., 2011. Practical variable selection for generalized additive models. Computational Statistics & Data Analysis, 55 (7), pp. 2372-2387.

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Official URL:

http://dx.doi.org/10.1016/j.csda.2011.02.004

Abstract

The problem of variable selection within the class of generalized additive models, when there are many covariates to choose from but the number of predictors is still somewhat smaller than the number of observations, is considered. Two very simple but effective shrinkage methods and an extension of the nonnegative garrote estimator are introduced. The proposals avoid having to use nonparametric testing methods for which there is no general reliable distributional theory. Moreover, component selection is carried out in one single step as opposed to many selection procedures which involve an exhaustive search of all possible models. The empirical performance of the proposed methods is compared to that of some available techniques via an extensive simulation study. The results show under which conditions one method can be preferred over another, hence providing applied researchers with some practical guidelines. The procedures are also illustrated analysing data on plasma beta-carotene levels from a cross-sectional study conducted in the United States.

Details

Item Type Articles
CreatorsMarra, G.and Wood, S. N.
DOI10.1016/j.csda.2011.02.004
Uncontrolled Keywordsshrinkage smoother, generalized additive model, penalized thin plate regression spline, nonnegative garrote estimator, practical variable selection
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code23189

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