Skip to Main content Skip to Navigation
Journal articles

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

Abstract : 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.
Complete list of metadatas

Cited literature [51 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00745267
Contributor : Laurent Delsol <>
Submitted on : Thursday, October 25, 2012 - 10:38:23 AM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM
Document(s) archivé(s) le : Saturday, January 26, 2013 - 3:37:54 AM

File

DELSOL_CompstatREV_1012_HAL.pd...
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Collections

Citation

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

Share

Metrics

Record views

342

Files downloads

220