NDLI: Feature significance in generalized additive models

Content Provider	Springer Nature Link
Author	Ganguli, B. Wand, M. P.
Copyright Year	2007
Abstract	This paper develops inference for the significance of features such as peaks and valleys observed in additive modeling through an extension of the SiZer-type methodology of Chaudhuri and Marron (1999) and Godtliebsen et al. (2002, 2004) to the case where the outcome is discrete. We consider the problem of determining the significance of features such as peaks or valleys in observed covariate effects both for the case of additive modeling where the main predictor of interest is univariate as well as the problem of studying the significance of features such as peaks, inclines, ridges and valleys when the main predictor of interest is geographical location. We work with low rank radial spline smoothers to allow to the handling of sparse designs and large sample sizes. Reducing the problem to a Generalised Linear Mixed Model (GLMM) framework enables derivation of simulation-based critical value approximations and guards against the problem of multiple inferences over a range of predictor values. Such a reduction also allows for easy adjustment for confounders including those which have an unknown or complex effect on the outcome. A simulation study indicates that our method has satisfactory power. Finally, we illustrate our methodology on several data sets.
Starting Page	179
Ending Page	192
Page Count	14
File Format	PDF
ISSN	09603174
Journal	Statistics and Computing
Volume Number	17
Issue Number	2
e-ISSN	15731375
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2007-01-30
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Additive models Best linear unbiased prediction (BLUP) Bivariate smoothing Generalised linear mixed models Geostatistics Low-rank mixed models Penalised splines Penalised quasi-likelihood (PQL) Artificial Intelligence (incl. Robotics) Mathematics Numeric Computing Statistics Statistics and Computing/Statistics Programs
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Theoretical Computer Science Computational Theory and Mathematics Statistics, Probability and Uncertainty

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