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Workshop on Stochastic Models, Statistics and their Application

SMSA 2019: Stochastic Models, Statistics and Their Applications pp 229–237Cite as

Projection-Based Repeated Measures Analysis for Functional Data

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 294))

Abstract

This paper considers the repeated measures analysis for functional data. For this problem, the projection-based tests analyzing randomly chosen one-dimensional projections are adapted. Theoretical justification of the correctness of the new tests is presented. Different aspects of the use of the tests based on random projections are discussed. Simulation studies indicate that the projection-based tests control the type I error level quite well, and they are usually more powerful than the tests known in the literature.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland

    Łukasz Smaga

Authors
  1. Łukasz Smaga
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Correspondence to Łukasz Smaga .

Editor information

Editors and Affiliations

  1. Institute of Statistics, RWTH Aachen University, Aachen, Germany

    Ansgar Steland

  2. Department of Control Systems and Mechatronics, Wrocław University of Technology, Wrocław, Poland

    Ewaryst Rafajłowicz

  3. Institute of Transport and Economics, Technische Universität Dresden, Dresden, Germany

    Ostap Okhrin

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Smaga, Ł. (2019). Projection-Based Repeated Measures Analysis for Functional Data. In: Steland, A., Rafajłowicz, E., Okhrin, O. (eds) Stochastic Models, Statistics and Their Applications. SMSA 2019. Springer Proceedings in Mathematics & Statistics, vol 294. Springer, Cham. https://doi.org/10.1007/978-3-030-28665-1_17

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