Authors: | Krampe, Anne Kuhnt, Sonja |
Title: | Bowker's Test for Symmetry and Modifications within the Algebraic Framework |
Language (ISO): | en |
Abstract: | Categorical data occur in a wide range of statistical applications. If the data are observed in matched pairs, it is often of interest to examine the di®erences between the responses. We concentrate on tests of axial symmetry in two-way tables. A commonly used procedure is the Bowker test which is a generalization of the McNemar test. The test decision is based on a X²-approximation which might not be adequate, for example if the table is sparse. Therefore modifications of the test statistic have been proposed. We suggest a test of symmetry based on Bowker's test and Markov Chain Monte Carlo methods following the algorithm of Diaconis and Sturmfels (1998). We carry out a simulation study to determine and compare the performance of the simulation test, the Bowker test and two modifications. |
Subject Headings: | Computational commutative algebra Diaconis-Sturmfels algorithm matched-pairs data MCMC Metropolis-Hastings algorithm |
URI: | http://hdl.handle.net/2003/21649 http://dx.doi.org/10.17877/DE290R-14477 |
Issue Date: | 2005-10-12T06:58:03Z |
Appears in Collections: | Sonderforschungsbereich (SFB) 475 |
Files in This Item:
File | Description | Size | Format | |
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tr29-05.pdf | DNB | 605.84 kB | Adobe PDF | View/Open |
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