SiZer Map for inference with additive models |
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Authors: | W González-Manteiga M D Martínez-Miranda R Raya-Miranda |
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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 |
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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. |
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Keywords: | Test Model checking Smoothing parameter Residuals Interaction |
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