### Abstract

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.

Original language | English (US) |
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Pages (from-to) | 435-450 |

Number of pages | 16 |

Journal | Journal of Computational and Graphical Statistics |

Volume | 6 |

Issue number | 4 |

DOIs | |

State | Published - Dec 1997 |

### All Science Journal Classification (ASJC) codes

- Statistics and Probability
- Discrete Mathematics and Combinatorics
- Statistics, Probability and Uncertainty

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## Cite this

Li, R. Z., Fang, K. T., & Zhu, L. X. (1997). Some Q-Q probability plots to test spherical and elliptical symmetry.

*Journal of Computational and Graphical Statistics*,*6*(4), 435-450. https://doi.org/10.1080/10618600.1997.10474752