首页 | 本学科首页   官方微博 | 高级检索  
     检索      

改进卡方检验
引用本文:戴家佳,杨爱军.改进卡方检验[J].数学研究及应用,2009,29(1):113-123.
作者姓名:戴家佳  杨爱军
作者单位:北京工业大学应用数理学院, 北京 100124; 贵州大学理学院, 贵州 贵阳 550025;北京工业大学应用数理学院, 北京 100124
基金项目:北京市自然科学基金(N0.1062001); 北京市属市管高等学校人才强教计划(N0.05006011200702)
摘    要:In goodness-of-fit tests, Pearson's chi-squared test is one of most widely used tools of formal statistical analysis. However, Pearson's chi-squared test depends on the partition of the sample space. Different constructions of the partition of the sample space may lead to different conclusions. Based on an equiprobable partition of sample space, a modified chi~quared test is proposed. A method for constructing the modified chi-squared test is proposed. As an application, the proposed test is used to test whether vectorial data come from an uniformity distribution defined on the hypersphere. Some simulation studies show that the modified chisquared test against different alternative is robust.

关 键 词:数理统计  一般数理统计  概率论  回归理论
收稿时间:2008/3/26 0:00:00
修稿时间:2008/4/18 0:00:00

A Modified Chi-Squared Goodness-of-Fit Test
DAI Jia Jia and YANG Ai Jun.A Modified Chi-Squared Goodness-of-Fit Test[J].Journal of Mathematical Research with Applications,2009,29(1):113-123.
Authors:DAI Jia Jia and YANG Ai Jun
Institution:College of Applied Sciences, Beijing University of Technology, Beijing 100124, China; College of Science, Guizhou University, Guizhou 550025, China;College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
Abstract:In goodness-of-fit tests, Pearson's chi-squared test is one of most widely used tools of formal statistical analysis. However, Pearson's chi-squared test depends on the partition of the sample space. Different constructions of the partition of the sample space may lead to different conclusions. Based on an equiprobable partition of sample space, a modified chi-squared test is proposed. A method for constructing the modified chi-squared test is proposed. As an application, the proposed test is used to test whether vectorial data come from an uniformity distribution defined on the hypersphere. Some simulation studies show that the modified chi-squared test against different alternative is robust.
Keywords:Pearson's chi-squared test    Von Mises-Fisher  distribution  Watson distribution  vectorial data  
本文献已被 维普 等数据库收录!
点击此处可从《数学研究及应用》浏览原始摘要信息
点击此处可从《数学研究及应用》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号