A bootstrap test for symmetry based on ranked set samples
To test the hypothesis of symmetry about an unknown median we propose the maximum of a partial sum process based on ranked set samples. We discuss the properties of the test statistic and investigate a modified bootstrap ranked set sample bootstrap procedure to obtain its sampling distribution. The power of the new test statistic is compared with two existing tests in a simulation study.
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- Modarres, Reza & Hui, Terrence P. & Zheng, Gang, 2006. "Resampling methods for ranked set samples," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 1039-1050, November.
- Modarres, Reza & Gastwirth, Joseph L., 1996. "A modified runs test for symmetry," Statistics & Probability Letters, Elsevier, vol. 31(2), pages 107-112, December.
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