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SiZer Map for inference with additive models
Authors:W González-Manteiga  M D Martínez-Miranda  R Raya-Miranda
Institution:(1) Facultad de Matemáticas, Universidad de Santiago de Compostela, Campus Sur, 15782 Santiago de Compostela, Spain;(2) Facultad de Ciencias, Universidad de Granada, Campus Fuentenueva, 18071 Granada, Spain
Abstract:Sizer Map is proposed as a graphical tool for assistance in nonparametric additive regression testing problems. Four problems have been analyzed by using SiZer Map: testing for additivity, testing the components significance, testing parametric models for the components and testing for interactions. The simplicity and flexibility of SiZer Map for our purposes are highlighted from the performed empirical study with several real datasets. With these data, we compare the conclusions derived from SiZer analysis with the global results derived from standard tests, previously proposed in the literature.
Keywords:Test  Model checking  Smoothing parameter  Residuals  Interaction
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