Show simple item record

dc.contributor.authorXie, Weiyi
dc.contributor.authorKurtek, Sebastian
dc.contributor.authorBharath, Karthik
dc.contributor.authorSun, Ying
dc.date.accessioned2017-06-06T08:33:44Z
dc.date.available2017-06-06T08:33:44Z
dc.date.created2016-12-16
dc.date.issued2016
dc.identifier.citationWeiyi Xie, Kurtek, S., Bharath, K., & Sun, Y. (2016). A Geometric Approach to Visualization of Variability in Functional Data. Figshare. https://doi.org/10.6084/m9.figshare.4478426
dc.identifier.doi10.6084/m9.figshare.4478426
dc.identifier.urihttp://hdl.handle.net/10754/624779
dc.description.abstract<p>We propose a new method for the construction and visualization of boxplot-type displays for functional data. We use a recent functional data analysis framework, based on a representation of functions called square-root slope functions, to decompose observed variation in functional data into three main components: amplitude, phase, and vertical translation. We then construct separate displays for each component, using the geometry and metric of each representation space, based on a novel definition of the median, the two quartiles, and extreme observations. The outlyingness of functional data is a very complex concept. Thus, we propose to identify outliers based on any of the three main components after decomposition. We provide a variety of visualization tools for the proposed boxplot-type displays including surface plots. We evaluate the proposed method using extensive simulations and then focus our attention on three real data applications including exploratory data analysis of sea surface temperature functions, electrocardiogram functions and growth curves.</p>
dc.format.extent4032259 Bytes
dc.publisherfigshare
dc.rightsCC BY
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectSpace Science
dc.subjectNeuroscience
dc.subjectPhysiology
dc.subjectBiotechnology
dc.titleSupplementary Material for: A Geometric Approach to Visualization of Variability in Functional Data
dc.typeDataset
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentStatistics Program
kaust.personSun, Ying
dc.type.resourcePaper
dc.relation.issupplementtoDOI:10.1080/01621459.2016.1256813
display.relations<b> Is Supplement To:</b> <br/> <ul><li><i>[Article]</i> <br/> Xie W, Kurtek S, Bharath K, Sun Y (2016) A Geometric Approach to Visualization of Variability in Functional Data. Journal of the American Statistical Association: 0–0. Available: http://dx.doi.org/10.1080/01621459.2016.1256813.. DOI: <a href="https://doi.org/10.1080/01621459.2016.1256813">10.1080/01621459.2016.1256813</a> HANDLE: <a href="http://hdl.handle.net/10754/622993">10754/622993</a></li></ul>


This item appears in the following Collection(s)

Show simple item record

CC BY
Except where otherwise noted, this item's license is described as CC BY