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Some tests for detecting trends based on the modified Baumgartner–Weiß–Schindler statistics

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Author Info

  • Shan, Guogen
  • Ma, Changxing
  • Hutson, Alan D.
  • Wilding, Gregory E.
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    Abstract

    We propose a modified nonparametric Baumgartner–Weiß–Schindler test and investigate its use in testing for trends among K binomial populations. Exact conditional and unconditional approaches to p-value calculation are explored in conjunction with the statistic in addition to a similar test statistic proposed by Neuhäuser (2006), the unconditional approaches considered including the maximization approach (Basu, 1977), the confidence interval approach (Berger and Boos, 1994), and the E+M approach (Lloyd, 2008). The procedures are compared with regard to actual Type I error and power and examples are provided. The conditional approach and the E+M approach performed well, with the E+M approach having an actual level much closer to the nominal level. The E+M approach and the conditional approach are generally more powerful than the other p-value calculation approaches in the scenarios considered. The power difference between the conditional approach and the E+M approach is often small in the balance case. However, in the unbalanced case, the power comparison between those two approaches based on our proposed test statistic show that the E+M approach has higher power than the conditional approach.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0167947312002514
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    Bibliographic Info

    Article provided by Elsevier in its journal Computational Statistics & Data Analysis.

    Volume (Year): 57 (2013)
    Issue (Month): 1 ()
    Pages: 246-261

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    Handle: RePEc:eee:csdana:v:57:y:2013:i:1:p:246-261

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    Web page: http://www.elsevier.com/locate/csda

    Related research

    Keywords: Baumgartner–Weiß–Schindler test; Exact Tests; E+Mp-value; Test for trend; Unconditional test;

    References

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    1. Markus Neuhäuser, 2005. "Exact tests based on the Baumgartner-Weiß-Schindler statistic—A survey," Statistical Papers, Springer, vol. 46(1), pages 1-29, January.
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    Cited by:
    1. Shan, Guogen, 2013. "More efficient unconditional tests for exchangeable binary data with equal cluster sizes," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 644-649.
    2. Shan, Guogen, 2014. "Exact approaches for testing non-inferiority or superiority of two incidence rates," Statistics & Probability Letters, Elsevier, vol. 85(C), pages 129-134.

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