Abstract
The efficiency concepts of Bahadur and Pitman are used to compare the Wilcoxon tests in paired and independent survey samples. A comparison through the length of corresponding confidence intervals is also done. Simple conditions characterizing the dominance of a procedure are derived. Statistical tests for checking these conditions are suggested and discussed.
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Acknowledgements
The authors thank the editor and the referees for constructive comments and suggestions. The second author was supported by a doctoral scholarship from the Hans-Böckler-Stiftung.
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Baringhaus, L., Gaigall, D. Efficiency comparison of the Wilcoxon tests in paired and independent survey samples. Metrika 81, 891–930 (2018). https://doi.org/10.1007/s00184-018-0661-4
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DOI: https://doi.org/10.1007/s00184-018-0661-4
Keywords
- Wilcoxon tests
- Pitman efficiency
- Bahadur efficiency
- Length of confidence intervals
- U-statistics
- Kernel density estimator