Handle URI:
http://hdl.handle.net/10754/598385
Title:
Functional Median Polish
Authors:
Sun, Ying; Genton, Marc G.
Abstract:
This article proposes functional median polish, an extension of univariate median polish, for one-way and two-way functional analysis of variance (ANOVA). The functional median polish estimates the functional grand effect and functional main factor effects based on functional medians in an additive functional ANOVA model assuming no interaction among factors. A functional rank test is used to assess whether the functional main factor effects are significant. The robustness of the functional median polish is demonstrated by comparing its performance with the traditional functional ANOVA fitted by means under different outlier models in simulation studies. The functional median polish is illustrated on various applications in climate science, including one-way and two-way ANOVA when functional data are either curves or images. Specifically, Canadian temperature data, U. S. precipitation observations and outputs of global and regional climate models are considered, which can facilitate the research on the close link between local climate and the occurrence or severity of some diseases and other threats to human health. © 2012 International Biometric Society.
Citation:
Sun Y, Genton MG (2012) Functional Median Polish. JABES 17: 354–376. Available: http://dx.doi.org/10.1007/s13253-012-0096-8.
Publisher:
Springer Nature
Journal:
Journal of Agricultural, Biological, and Environmental Statistics
Issue Date:
3-Aug-2012
DOI:
10.1007/s13253-012-0096-8
Type:
Article
ISSN:
1085-7117; 1537-2693
Sponsors:
This research was partially supported by NSF grants DMS-1007504, DMS-1100492, and Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST). The authors thank Bo Li, Guest Editor, and two referees for valuable comments, as well as Caspar M. Ammann for providing the GCM data analyzed in Section 4.3.
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Full metadata record

DC FieldValue Language
dc.contributor.authorSun, Yingen
dc.contributor.authorGenton, Marc G.en
dc.date.accessioned2016-02-25T13:19:49Zen
dc.date.available2016-02-25T13:19:49Zen
dc.date.issued2012-08-03en
dc.identifier.citationSun Y, Genton MG (2012) Functional Median Polish. JABES 17: 354–376. Available: http://dx.doi.org/10.1007/s13253-012-0096-8.en
dc.identifier.issn1085-7117en
dc.identifier.issn1537-2693en
dc.identifier.doi10.1007/s13253-012-0096-8en
dc.identifier.urihttp://hdl.handle.net/10754/598385en
dc.description.abstractThis article proposes functional median polish, an extension of univariate median polish, for one-way and two-way functional analysis of variance (ANOVA). The functional median polish estimates the functional grand effect and functional main factor effects based on functional medians in an additive functional ANOVA model assuming no interaction among factors. A functional rank test is used to assess whether the functional main factor effects are significant. The robustness of the functional median polish is demonstrated by comparing its performance with the traditional functional ANOVA fitted by means under different outlier models in simulation studies. The functional median polish is illustrated on various applications in climate science, including one-way and two-way ANOVA when functional data are either curves or images. Specifically, Canadian temperature data, U. S. precipitation observations and outputs of global and regional climate models are considered, which can facilitate the research on the close link between local climate and the occurrence or severity of some diseases and other threats to human health. © 2012 International Biometric Society.en
dc.description.sponsorshipThis research was partially supported by NSF grants DMS-1007504, DMS-1100492, and Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST). The authors thank Bo Li, Guest Editor, and two referees for valuable comments, as well as Caspar M. Ammann for providing the GCM data analyzed in Section 4.3.en
dc.publisherSpringer Natureen
dc.subjectAnalysis of varianceen
dc.subjectClimate modelsen
dc.subjectFunctional dataen
dc.subjectHealthen
dc.subjectImage dataen
dc.subjectMedian polishen
dc.subjectRobustnessen
dc.subjectSpatio-temporal dataen
dc.titleFunctional Median Polishen
dc.typeArticleen
dc.identifier.journalJournal of Agricultural, Biological, and Environmental Statisticsen
dc.contributor.institutionStatistical and Applied Mathematical Sciences Institute, USA, Research Triangle Park, United Statesen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
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