Bowker's Test for Symmetry and Modifications within the Algebraic Framework
| dc.contributor.author | Krampe, Anne | |
| dc.contributor.author | Kuhnt, Sonja | |
| dc.date.accessioned | 2005-10-12T06:58:03Z | |
| dc.date.available | 2005-10-12T06:58:03Z | |
| dc.date.issued | 2005-10-12T06:58:03Z | |
| dc.description.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. | en |
| dc.format.extent | 620383 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/2003/21649 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-14477 | |
| dc.language.iso | en | |
| dc.subject | Computational commutative algebra | en |
| dc.subject | Diaconis-Sturmfels algorithm | en |
| dc.subject | matched-pairs data | en |
| dc.subject | MCMC | en |
| dc.subject | Metropolis-Hastings algorithm | en |
| dc.subject.ddc | 004 | |
| dc.title | Bowker's Test for Symmetry and Modifications within the Algebraic Framework | en |
| dc.type | Text | |
| dc.type.publicationtype | report | en |
| dcterms.accessRights | open access |