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Original Articles

Modified Baumgartner statistics for the two-sample and multisample problems: a numerical comparison

Pages 711-728
Received 10 Sep 2010
Accepted 28 Dec 2010
Published online: 16 Jun 2011
 
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Various non-parametric rank tests based on the Baumgartner statistic have been proposed for testing the location, scale and location–scale parameters. The modified Baumgartner statistics are not suitable for the scale shifts for a two-sample problem. Two modified Baumgartner statistics are proposed by changing the weight function. The suggested statistics are extended to the multisample problem. Some exact critical values of the suggested test statistics are evaluated. Simulations are used to investigate the power of the modified Baumgartner statistics.

Acknowledgements

The authors would like to thank the editor and the referee for their valuable comments and suggestions.