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Functional data analysis approach of Mandel’s h and k statistics in Interlaboratory Studies

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Functional Statistics and Related Fields

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

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Abstract

In this work, functional versions of Mandels’s h and k statistics for outlier laboratory detection in interlaboratory studies (ILS) are presented. The critical values of h and k outlier test are approximated using bootstrap resampling, and their characteristic graphics are obtained. Thermogravimetric data are simulated to study the performance of the proposed d H and d K functional test statistics.

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Facultad de Ciencias, Escuela Politécnica Nacional, Ladrón de Guevara E11-253, Quito, Ecuador

    Miguel Flores

  2. Department of Mathematics, Higher Polytechnic University College, Universidade da Coruña, Mendizábal s/n, Ferrol, España

    Salvador Naya & Javier Tarrío-Saavedra

  3. Department of Mathematics, Faculty of Computer Science, Universidade da Coruña, Campus de Elviña, A Coruña, España

    Rubén Fernández-Casal

Authors
  1. Miguel Flores
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  2. Salvador Naya
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  3. Javier Tarrío-Saavedra
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  4. Rubén Fernández-Casal
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Corresponding author

Correspondence to Miguel Flores .

Editor information

Editors and Affiliations

  1. Dept. of Mathematics, University of A Coruña, A Coruña, Spain

    Germán Aneiros

  2. Dept. of Studies in Econ.and Business, University of Eastern Piedmont "Amedeo Avogadro", Novara, Italy

    Enea G. Bongiorno

  3. Dept. of Mathematics, University of A Coruña, A Coruña, Spain

    Ricardo Cao

  4. Toulouse Mathematics Institute (IMT), Paul Sabatier University, Toulouse, France

    Philippe Vieu

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Flores, M., Naya, S., Tarrío-Saavedra, J., Fernández-Casal, R. (2017). Functional data analysis approach of Mandel’s h and k statistics in Interlaboratory Studies. In: Aneiros, G., G. Bongiorno, E., Cao, R., Vieu, P. (eds) Functional Statistics and Related Fields. Contributions to Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-55846-2_16

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