### 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) |
---|---|

Pages (from-to) | 435-450 |

Number of pages | 16 |

Journal | Journal of Computational and Graphical Statistics |

Volume | 6 |

Issue number | 4 |

DOIs | |

State | Published - Jan 1 1997 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

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

### Cite this

*Journal of Computational and Graphical Statistics*,

*6*(4), 435-450. https://doi.org/10.1080/10618600.1997.10474752

}

*Journal of Computational and Graphical Statistics*, vol. 6, no. 4, pp. 435-450. https://doi.org/10.1080/10618600.1997.10474752

**Some Q-Q probability plots to test spherical and elliptical symmetry.** / Li, Runze; Fang, Kai Tai; Zhu, Li Xing.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Some Q-Q probability plots to test spherical and elliptical symmetry

AU - Li, Runze

AU - Fang, Kai Tai

AU - Zhu, Li Xing

PY - 1997/1/1

Y1 - 1997/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0031327886&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031327886&partnerID=8YFLogxK

U2 - 10.1080/10618600.1997.10474752

DO - 10.1080/10618600.1997.10474752

M3 - Article

VL - 6

SP - 435

EP - 450

JO - Journal of Computational and Graphical Statistics

JF - Journal of Computational and Graphical Statistics

SN - 1061-8600

IS - 4

ER -