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Small-Sample Behavior of Some Multisample Nonparametric Tests for Scale

 

作者: W.S. Tsai,   B.S. Duran,   T.O. Lewis,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1975)
卷期: Volume 70, issue 352  

页码: 791-796

 

ISSN:0162-1459

 

年代: 1975

 

DOI:10.1080/01621459.1975.10480304

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Several nonparametric and parametric statistics for testing the equality of scale parameters are compared with respect to their power and stability of error rates. When the populations have mass confined to the positive axis, thec-sample analog of the sum of squared ranks test and the Kruskal-Wallis test are found to be very robust and powerful. When the populations are symmetrical, thec-sample analogs of the two-sample Mood and two-sample Ansari-Bradley tests are robust for small samples, and are more powerful than Box's test. Tables of exac probabilities and corresponding critical values of the nonparametric statistics are given for testing the equality of scales for small samples.

 

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