Type
ArticleAuthors
Sun, Ying
Genton, Marc G.

Date
2012-08-03Online Publication Date
2012-08-03Print Publication Date
2012-09Permanent link to this record
http://hdl.handle.net/10754/598385
Metadata
Show full item recordAbstract
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.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.Publisher
Springer Natureae974a485f413a2113503eed53cd6c53
10.1007/s13253-012-0096-8