Title

Some tests for detecting trends based on the modified Baumgartner-Weiβ-Schindler statistics

Document Type

Article

Publication Date

1-2013

Publication Title

Computational Statistics & Data Analysis

Volume

57

Issue

1

First page number:

246

Last page number:

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 byNeuhäuser (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; E + M p-value; Exact Tests; Nonparametric statistics; Test for trend; Unconditional test

Disciplines

Clinical Trials | Medicine and Health Sciences | Statistical Methodology | Statistics and Probability | Vital and Health Statistics

Language

English

Permissions

Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.

Identifier

DOI: http://dx.doi.org/10.1016/j.csda.2012.04.021

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