TY - JOUR
T1 - Bowker's test for symmetry and modifications within the algebraic framework
AU - Krampe, A.
AU - Kuhnt, S.
PY - 2007
Y1 - 2007
N2 - 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 differences between the responses. The focus is 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 chi-squared approximation which might not be adequate, for example if the table is sparse. Therefore, modifications of the test statistic have been discussed. A test of symmetry based on Bowker's test and Markov Chain Monte Carlo methods is proposed. A simulation study is carried out to determine and compare the performances of the simulation test, the Bowker test and two modifications.
AB - 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 differences between the responses. The focus is 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 chi-squared approximation which might not be adequate, for example if the table is sparse. Therefore, modifications of the test statistic have been discussed. A test of symmetry based on Bowker's test and Markov Chain Monte Carlo methods is proposed. A simulation study is carried out to determine and compare the performances of the simulation test, the Bowker test and two modifications.
U2 - 10.1016/j.csda.2007.01.021
DO - 10.1016/j.csda.2007.01.021
M3 - Article
SN - 0167-9473
VL - 51
SP - 4124
EP - 4142
JO - Computational Statistics and Data Analysis
JF - Computational Statistics and Data Analysis
IS - 9
ER -