数学物理学报(英文版)

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TESTING SPHERICITY IN A GMANOVA-MANOVA MODEL WITH NORMAL ERROR

白鹏; 石磊   

  1. 云南财经大学统计与数学学院, 昆明 650221
  • 收稿日期:2005-10-24 修回日期:2006-12-06 出版日期:2008-07-20 发布日期:2008-07-20
  • 通讯作者: 白鹏
  • 基金资助:

    Supported by the National Natural Science Foundation of China (10761010, 10771185) and the Mathematics Tianyuan Youth Foundation of China

TESTING SPHERICITY IN A GMANOVA-MANOVA MODEL WITH NORMAL ERROR

Bai Peng; Shi Lei   

  1. Statistics and Mathematics College, Yunnan University of Finance and Economics, Kunming 650221, China
  • Received:2005-10-24 Revised:2006-12-06 Online:2008-07-20 Published:2008-07-20
  • Contact: Bai Peng

摘要:

This article presents a statistic for testing the sphericity in a GMANOVA-MANOVA model with normal error. It is shown that the null distribution of this statistic is beta and its nonnull distribution is given in series form of beta distributions.

关键词: GMANOVA-MANOVA model, sphericity test, zonal polynomial

Abstract:

This article presents a statistic for testing the sphericity in a GMANOVA-MANOVA model with normal error. It is shown that the null distribution of this statistic is beta and its nonnull distribution is given in series form of beta distributions.

Key words: GMANOVA-MANOVA model, sphericity test, zonal polynomial

中图分类号: 

  • 62H15