| A Modified Chi-Squared Goodness-of-Fit Test |
| Received:March 26, 2008 Revised:April 18, 2008 |
| Key Words:
Pearson's chi-squared test Von Mises-Fisher distribution Watson distribution vectorial data.
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| Fund Project:the Natural Science Foundation of Beijing (No.1062001);Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality(No.05006011200702). |
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| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.01.015 |
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