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SiZer Map for inference with additive models

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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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Authors and Affiliations

  1. Facultad de Matemáticas, Universidad de Santiago de Compostela, Campus Sur, 15782, Santiago de Compostela, Spain

    W. González-Manteiga

  2. Facultad de Ciencias, Universidad de Granada, Campus Fuentenueva, 18071, Granada, Spain

    M. D. Martínez-Miranda & R. Raya-Miranda

Authors
  1. W. González-Manteiga
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  2. M. D. Martínez-Miranda
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  3. R. Raya-Miranda
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Correspondence to M. D. Martínez-Miranda.

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González-Manteiga, W., Martínez-Miranda, M.D. & Raya-Miranda, R. SiZer Map for inference with additive models. Stat Comput 18, 297–312 (2008). https://doi.org/10.1007/s11222-008-9057-z

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  • DOI: https://doi.org/10.1007/s11222-008-9057-z

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