Testing in Mixed-effects FANOVA Model (Articolo in rivista)

Type
Label
  • Testing in Mixed-effects FANOVA Model (Articolo in rivista) (literal)
Anno
  • 2006-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.jspi.2005.06.002 (literal)
Alternative label
  • Abramovich F.; Angelini C. (2006)
    Testing in Mixed-effects FANOVA Model
    in Journal of statistical planning and inference (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Abramovich F.; Angelini C. (literal)
Pagina inizio
  • 4326 (literal)
Pagina fine
  • 4348 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S0378375805001400 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 136 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 12 (literal)
Note
  • Google S (literal)
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
  • Mathematical Reviews on the web (MathSciNet) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Department of Statistics & Operations Research, Tel Aviv University, Israel Istituto per le Applicazioni del Calcolo \"Mauro Picone\"--Sezione di Napoli, Consiglio Nazionale delle Ricerche, Italy (literal)
Titolo
  • Testing in Mixed-effects FANOVA Model (literal)
Abstract
  • We consider the testing problem in the mixed-effects functional analysis of variance models. We develop asymptotically optimal (minimax) testing procedures for testing the significance of functional global trend and the functional fixed effects based on the empirical wavelet coefficients of the data. Wavelet decompositions allow one to characterize various types of assumed smoothness conditions on the response function under the nonparametric alternatives. The distribution of the functional random-effects component is defined in the wavelet domain and captures the sparseness of wavelet representation for a wide variety of functions. The simulation study presented in the paper demonstrates the finite sample properties of the proposed testing procedures. We also applied them to the real data from the physiological experiments. (literal)
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