改进卡方检验(英文)

被引：4

作者：

戴家佳 ^{[1
,2
]}

杨爱军 ^{[1
]}

机构：

[1] College of Applied Sciences,Beijing University of Technology

[2] College of Science,Guizhou University

来源：

数学研究与评论 | 2009年 / 29卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O212.1 [一般数理统计];

学科分类号：

020208 ; 070103 ; 0714 ;

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-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.

引用

页码：113 / 123

页数：11

共 4 条

[1] Power of tests of uniformity defined on the hypersphere [J].

Figueiredo, A ;

Gomes, P .

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2003, 32 (01) :87-94

[2] A METHOD FOR GENERATING UNIFORMLY DISTRIBUTED POINTS ON N-DIMENSIONAL SPHERES [J].

SIBUYA, M .

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1962, 14 (01) :81-85

[3]

On the Choice of the Number of Class Intervals in the Application of the Chi Square Test.[J].H. B. Mann;A. Wald.The Annals of Mathematical Statistics.1942, 3

[4]

Tables of percentage points of Pearson‘s goodness-of-fit statistic for use with small expectations..LAWAL H B;.J.Roy.Statist.Soc.Ser.C.1980, 03

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