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Competitors of the Wilcoxon signed rank test

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Summary

Distribution-free statistics are proposed for one-sample location test, and are compared with the Wilcoxon signed rank test. It is shown that one of the statistics is superior to the Wilcoxon test in terms of approximate Bahadur efficiency. And we compare that statistic with the Wilcoxon test from the viewpoint of asymptotic expansion of power function under contiguous alternatives.

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References

  1. Abrahamson, I. G. (1967). Exact Bahadur efficiencies for the Kolmogorov-Smirnov and Kuiper one-and two-sample statistics,Ann. Math. Statist.,38, 1475–1490.

    Article  MathSciNet  Google Scholar 

  2. Albers, W., Bickel, P. J. and van Zwet, W. R. (1976). Asymptotic expansions for the power of distribution free tests in the one-sample problem,Ann. Statist.,4, 108–156.

    Article  MathSciNet  Google Scholar 

  3. Araki, T. (1985). Inadmissibility of signed rank test in the Bahadur efficiency,Math. Japonica,30, 111–116.

    MathSciNet  MATH  Google Scholar 

  4. Bahadur, R. R. (1960). Stochastic comparison of tests,Ann. Math. Statist.,31, 276–295.

    Article  MathSciNet  Google Scholar 

  5. Bahadur, R. R. (1967). Rates of convergence of estimates and test statistics,Ann. Math. Statist.,38, 308–324.

    Article  MathSciNet  Google Scholar 

  6. Eplett, W.J. R. (1981). The inadmissibility of linear rank tests under Bahadur efficiency,Ann. Statist.,9, 1079–1086.

    Article  MathSciNet  Google Scholar 

  7. Hájek, J. and Šidák, Z. (1967).Theory of Rank Tests, Academic Press, New York.

    MATH  Google Scholar 

  8. Kumazawa, Y. (1984). A class of statistics for testing symmetry of a distribution,Working Paper No. 9, Shiga University.

  9. Maesono, Y. (1987). Edgeworth expansion for one-sampleU-statistics,Bull. Inform. Cybern.,22, 189–197.

    MathSciNet  MATH  Google Scholar 

  10. Mehra, G. E. and Sarangi, J. (1967). Asymptotic efficiency of certain rank tests for comparative experiments,Ann. Math. Statist.,38, 90–107.

    Article  MathSciNet  Google Scholar 

  11. Noether, G. E. (1955). On a theorem of Pitman,Ann. Math. Statist.,26, 64–68.

    Article  MathSciNet  Google Scholar 

  12. Serfling, R. J. (1980).Approximation Theorems of Mathematical Statistics, Wiley, New York.

    Book  Google Scholar 

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Maesono, Y. Competitors of the Wilcoxon signed rank test. Ann Inst Stat Math 39, 363–375 (1987). https://doi.org/10.1007/BF02491474

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  • DOI: https://doi.org/10.1007/BF02491474

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