A simple multiway ANOVA for functional data

TEST volume 19, pages537–557(2010)Cite this article

Abstract

We propose a procedure to test complicated ANOVA designs for functional data. The procedure is effective, flexible, easy to compute and does not require a heavy computational effort. It is based on the analysis of randomly chosen one-dimensional projections. The paper contains some theoretical results as well as some simulations and the analysis of some real data sets. Functional data include multidimensional data, so the paper contains a comparison between the proposed procedure and some usual MANOVA tests.

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Author information

Affiliations

  1. Departamento de Matemáticas, Estadística y Computación, Facultad de Ciencias, Universidad de Cantabria, Santander, Spain

    J. A. Cuesta-Albertos

  2. Departamento de Estadística e Inv. Operativa, Facultad de Matemáticas, Universidad Santiago de Compostela, Santiago de Compostela, Spain

    M. Febrero-Bande

Authors
  1. J. A. Cuesta-Albertos
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  2. M. Febrero-Bande
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Corresponding author

Correspondence to M. Febrero-Bande.

Additional information

J.A. Cuesta-Albertos has been partially supported by the Spanish Ministerio de Ciencia y Tecnología, grant MTM2008-0607-C02-02 and the Consejería de Educación y Cultura de la Junta de Castilla y León, grant PAPIJCL VA102/06.

M. Febrero-Bande has been partially supported by the Spanish Ministerio de Ciencia y Tecnología, grant MTM2008-03010.

Communicated by Domingo Morales.

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Cuesta-Albertos, J.A., Febrero-Bande, M. A simple multiway ANOVA for functional data. TEST 19, 537–557 (2010). https://doi.org/10.1007/s11749-010-0185-3

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Keywords

  • ANOVA
  • Functional data
  • Random projections
  • Testing
  • Two-way ANOVA

Mathematics Subject Classification (2000)

  • 62H15
  • 62J10