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Discriminant coordinates analysis for multivariate functional data

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  • Zofia Hanusz
  • Mirosław Krzyśko
  • Rafał Nadulski
  • Łukasz Waszak

Abstract

One of the basic statistical methods of dimensionality reduction is analysis of discriminant coordinates given by Fisher (1936) and Rao (1948). The space of discriminant coordinates is a space convenient for presenting multidimensional data originating from multiple groups and for the use of various classification methods (methods of discriminant analysis). In the present paper, we adapt the classical discriminant coordinates analysis to multivariate functional data. The theory has been applied to analysis of textural properties of apples of six varieties, measured over a period of 180 days, stored in two types of refrigeration chamber.

Suggested Citation

  • Zofia Hanusz & Mirosław Krzyśko & Rafał Nadulski & Łukasz Waszak, 2020. "Discriminant coordinates analysis for multivariate functional data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(18), pages 4506-4519, September.
  • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:18:p:4506-4519
    DOI: 10.1080/03610926.2019.1602650
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    Cited by:

    1. Mirosław Krzyśko & Waldemar Wołyńki & Marcin Szymkowiak & Andrzej Wojtyła, 2021. "A Spatio-Temporal Analysis of the Health Situation in Poland Based on Functional Discriminant Coordinates," IJERPH, MDPI, vol. 18(3), pages 1-17, January.

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