We introduce in this work the Interval Testing Procedure (ITP), a novel inferential technique for functional data. The procedure can be used to test different functional hypotheses, e.g., distributional equality between two or more functional populations, equality of mean function of a functional population to a reference. ITP involves three steps: (i) the representation of data on a (possibly high-dimensional) functional basis; (ii) the test of each possible set of consecutive basis coefficients; (iii) the computation of the adjusted p-values associated to each basis component, by means of a new strategy here proposed. We define a new type of error control, the interval-wise control of the family wise error rate, particularly suited for functional data. We show that ITP is provided with such a control. A simulation study comparing ITP with other testing procedures is reported. ITP is then applied to the analysis of hemodynamical features involved with cerebral aneurysm pathology. ITP is implemented in the fdatest R package.

Pini, A., Vantini, S., The interval testing procedure: A general framework for inference in functional data analysis, <<BIOMETRICS>>, 2016; 72 (3): 835-845. [doi:10.1111/biom.12476] [http://hdl.handle.net/10807/119540]

The interval testing procedure: A general framework for inference in functional data analysis

Pini, Alessia
Primo
;
2016

Abstract

We introduce in this work the Interval Testing Procedure (ITP), a novel inferential technique for functional data. The procedure can be used to test different functional hypotheses, e.g., distributional equality between two or more functional populations, equality of mean function of a functional population to a reference. ITP involves three steps: (i) the representation of data on a (possibly high-dimensional) functional basis; (ii) the test of each possible set of consecutive basis coefficients; (iii) the computation of the adjusted p-values associated to each basis component, by means of a new strategy here proposed. We define a new type of error control, the interval-wise control of the family wise error rate, particularly suited for functional data. We show that ITP is provided with such a control. A simulation study comparing ITP with other testing procedures is reported. ITP is then applied to the analysis of hemodynamical features involved with cerebral aneurysm pathology. ITP is implemented in the fdatest R package.
2016
Inglese
Pini, A., Vantini, S., The interval testing procedure: A general framework for inference in functional data analysis, <<BIOMETRICS>>, 2016; 72 (3): 835-845. [doi:10.1111/biom.12476] [http://hdl.handle.net/10807/119540]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/119540
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