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

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

Computational Statistics & Data Analysis, 2013, vol. 57, issue 1, 246-261

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.

Keywords: Baumgartner–Weiß–Schindler test; Exact Tests; E+Mp-value; Test for trend; Unconditional test (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:57:y:2013:i:1:p:246-261

DOI: 10.1016/j.csda.2012.04.021

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