No effect tests in regression on functional variable and some applications to spectrometric studies - Archive ouverte HAL
Article Dans Une Revue Computational Statistics Année : 2013

No effect tests in regression on functional variable and some applications to spectrometric studies

Résumé

Recent advances in structural tests for regression on functional variable are used to construct test of no effect. Various bootstrap procedures are considered and compared in a simulation study. These tests are finally applied on real world datasets dealing with spectrometric studies using the information collected during this simulation study. The results obtained for the Tecator dataset are relevant and corroborated by former studies. %s of this dataset. The study of a smaller dataset concerning corn samples shows the efficiency of our method on small size samples. Getting information on which derivatives (or which parts) of the spectrometric curves have a significant effect allows to get a better understanding of the way spectrometric curves influence the quantity to predict. In addition, a better knowledge of the structure of the underlying regression model may be useful to construct a relevant predictor.% and often leads to more precise prediction results.
Fichier principal
Vignette du fichier
DELSOL_CompstatREV_1012_HAL.pdf (1.92 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00745267 , version 1 (25-10-2012)

Licence

Identifiants

Citer

Laurent Delsol. No effect tests in regression on functional variable and some applications to spectrometric studies. Computational Statistics, 2013, 28 (4), pp.1-37. ⟨10.1007/s00180-012-0378-1⟩. ⟨hal-00745267⟩
161 Consultations
163 Téléchargements

Altmetric

Partager

More