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T3-Plot for Testing Spherical Symmetry for High-Dimensional Data with a Small Sample Size
Author
Source
Journal of Probability and Statistics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-18
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
High-dimensional data with a small sample size, such as microarray data and image data, are commonly encountered in some practical problems for which many variables have to be measured but it is too costly or time consuming to repeat the measurements for many times.
Analysis of this kind of data poses a great challenge for statisticians.
In this paper, we develop a new graphical method for testing spherical symmetry that is especially suitable for high-dimensional data with small sample size.
The new graphical method associated with the local acceptance regions can provide a quick visual perception on the assumption of spherical symmetry.
The performance of the new graphical method is demonstrated by a Monte Carlo study and illustrated by a real data set.
American Psychological Association (APA)
Liang, Jiajuan. 2012. T3-Plot for Testing Spherical Symmetry for High-Dimensional Data with a Small Sample Size. Journal of Probability and Statistics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-493942
Modern Language Association (MLA)
Liang, Jiajuan. T3-Plot for Testing Spherical Symmetry for High-Dimensional Data with a Small Sample Size. Journal of Probability and Statistics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-493942
American Medical Association (AMA)
Liang, Jiajuan. T3-Plot for Testing Spherical Symmetry for High-Dimensional Data with a Small Sample Size. Journal of Probability and Statistics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-493942
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493942