Document Type
Journal Article
Department/Unit
Department of Mathematics
Title
Two samples tests for functional data
Language
English
Abstract
Data in many experiments arises as curves and therefore it is natural to use a curve as a basic unit in the analysis, which is in terms of functional data analysis (FDA). Functional curves are encountered when units are observed over time. Although the whole function curve itself is not observed, a sufficiently large number of evaluations, as is common with modern recording equipment, is assumed to be available. In this article, we consider the statistical inference for the mean functions in the two samples problem drawn from functional data sets, in which we assume that functional curves are observed, that is, we consider the test if these two groups of curves have the same mean functional curve when the two groups of curves without noise are observed. The L2-norm based and bootstrap-based test statistics are proposed. It is shown that the proposed methodology is flexible. Simulation study and real-data examples are used to illustrate our techniques.
Keywords
Bootstrap-based test statistic, Functional data, Hypothesis test, L2-norm-based test statistic
Publication Date
2010
Source Publication Title
Communications in Statistics - Theory and Methods
Volume
39
Issue
4
Start Page
559
End Page
578
Publisher
Taylor & Francis
DOI
10.1080/03610920902755839
Link to Publisher's Edition
http://dx.doi.org/10.1080/03610920902755839
ISSN (print)
03610926
ISSN (electronic)
1532415X
APA Citation
Zhang, C., Peng, H., & Zhang, J. (2010). Two samples tests for functional data. Communications in Statistics - Theory and Methods, 39 (4), 559-578. https://doi.org/10.1080/03610920902755839