Interval-Wise Testing of Functional Data Defined on Two-dimensional Domains

Alessia Pini, Patrick B. Langthaler, Arne C. Bathke

Risultato della ricerca: Contributo in libroChapter

Abstract

Functional Data Analysis is the statistical analysis of data sets composed of functions of a continuous variable on a given domain. Previous work in this area focuses on one-dimensional domains. In this work, we extend a method developed for the one-dimensional case, the interval-wise testing procedure (IWT), to the case of a two-dimensional domain. We first briefly explain the theory of the IWT for the one-dimensional case, followed by a proposed extension to the two-dimensional case. We also discuss challenges that appear in the two-dimensional case but do not exist in the one-dimensional case. Finally, we provide results of a simulation study to explore the properties of the new procedure in more detail.
Lingua originaleEnglish
Titolo della pubblicazione ospiteNonparametric Statistics
Pagine305-313
Numero di pagine9
Stato di pubblicazionePubblicato - 2020

Keywords

  • Functional data analysis
  • Rectangular Domain
  • Type I Error Control

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