IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v57y2013i1p246-261.html
   My bibliography  Save this article

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

Author

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

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.

Suggested Citation

  • Shan, Guogen & Ma, Changxing & Hutson, Alan D. & Wilding, Gregory E., 2013. "Some tests for detecting trends based on the modified Baumgartner–Weiß–Schindler statistics," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 246-261.
    • Handle: RePEc:eee:csdana:v:57:y:2013:i:1:p:246-261
    DOI: 10.1016/j.csda.2012.04.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167947312002514
    Download Restriction: Full text for ScienceDirect subscribers only.
    File URL: https://libkey.io/10.1016/j.csda.2012.04.021?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Boris Freidlin & Joseph L. Gastwirth, 1999. "Unconditional Versions of Several Tests Commonly Used in the Analysis of Contingency Tables," Biometrics, The International Biometric Society, vol. 55(1), pages 264-267, March.
    2. Markus Neuhäuser, 2005. "Exact tests based on the Baumgartner-Weiß-Schindler statistic—A survey," Statistical Papers, Springer, vol. 46(1), pages 1-29, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. Guogen Shan & Changxing Ma, 2014. "Efficient tests for one sample correlated binary data with applications," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 23(2), pages 175-188, June.
    4. Hidetoshi Murakami, 2016. "All-pairs multiple comparisons based on the Cucconi test," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 100(3), pages 355-368, July.
    5. Guogen Shan & Gregory Wilding, 2015. "Unconditional tests for association in 2 × 2 contingency tables in the total sum fixed design," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 69(1), pages 67-83, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Neuhauser, Markus & Losch, Christian & Jockel, Karl-Heinz, 2007. "The Chen-Luo test in case of heteroscedasticity," Computational Statistics & Data Analysis, Elsevier, vol. 51(10), pages 5055-5060, June.
    2. Subbiah, M. & Srinivasan, M.R., 2008. "Classification of 2x2 sparse data sets with zero cells," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3212-3215, December.
    3. Gang Zheng & Zehua Chen, 2005. "Comparison of Maximum Statistics for Hypothesis Testing When a Nuisance Parameter Is Present only under the Alternative," Biometrics, The International Biometric Society, vol. 61(1), pages 254-258, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:csdana:v:57:y:2013:i:1:p:246-261. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/csda .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.