JCGS Abstracts JCGS 1997 Contents and Abstracts Papers to be published in 1998 Editorial Board Information for Authors Instructions for Reviewers ASA Style Guide ASA Publications IMS Publications Journal of Computational and Graphical Statistics, Vol. This article proposes some probability plots are proposed to test spherical and elliptical symmetry in terms of some invariant statistics under orthogonal transformations. Some correlation coefficients as numerical measures of detecting deviation from spherical or elliptical symmetry are recommended, and the empirical percentiles of these correlation coefficients are calculated by simulation. The simulation results for data sets from 12 different populations show that the new plots are useful for testing spherical and elliptical symmetry.
Some discussion is given also.
Run-Ze Li is Graduate Student. Department of Statistics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3260. Kai-Tai Fang is Chair Professor, Department of Mathematics, Hong Kong Baptist University, Hong Kong and Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080. Li-Xing Zhu is Full Professor, Probability Lab, Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080. All rights reserved.