A Multivariate Extension of McNemar’s Test Based on Permutations
The purpose of this publication is to propose a permutation test to detect the departure from symmetry in multidimensional contingency tables. The proposal is a multivariate extension of McNemar’s test. McNemar’s test could be applied to 2 × 2 contingency tables. The proposal may be also treated as...
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Lodz University Press
2020-11-01
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Online Access: | https://czasopisma.uni.lodz.pl/foe/article/view/6454 |
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doaj-4af1776b0cf04568926c8bff7509f3bd2021-03-04T14:01:45ZengLodz University PressActa Universitatis Lodziensis. Folia Oeconomica0208-60182353-76632020-11-0143499310510.18778/0208-6018.349.065548A Multivariate Extension of McNemar’s Test Based on PermutationsGrzegorz Kończak0University of Economics in Katowice, College of Management, Department of Statistics Econometrics and MathematicsThe purpose of this publication is to propose a permutation test to detect the departure from symmetry in multidimensional contingency tables. The proposal is a multivariate extension of McNemar’s test. McNemar’s test could be applied to 2 × 2 contingency tables. The proposal may be also treated as a modification of Cochran’s Q test which is used for testing dependency for multivariate binary data. The form of the test statistics that allows us to detect the departure from counts symmetry in multidimensional contingency tables is presented in the article. The permutation method of observations was used to estimate the empirical distribution of the test statistics. The considerations were supplemented with examples of the use of a multivariate test for simulated and real data. The application of the proposed test allows us to detect the asymmetrical distribution of counts in multivariate contingency tables.https://czasopisma.uni.lodz.pl/foe/article/view/6454permutation testmcnemar’s testmultivariate test |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Grzegorz Kończak |
spellingShingle |
Grzegorz Kończak A Multivariate Extension of McNemar’s Test Based on Permutations Acta Universitatis Lodziensis. Folia Oeconomica permutation test mcnemar’s test multivariate test |
author_facet |
Grzegorz Kończak |
author_sort |
Grzegorz Kończak |
title |
A Multivariate Extension of McNemar’s Test Based on Permutations |
title_short |
A Multivariate Extension of McNemar’s Test Based on Permutations |
title_full |
A Multivariate Extension of McNemar’s Test Based on Permutations |
title_fullStr |
A Multivariate Extension of McNemar’s Test Based on Permutations |
title_full_unstemmed |
A Multivariate Extension of McNemar’s Test Based on Permutations |
title_sort |
multivariate extension of mcnemar’s test based on permutations |
publisher |
Lodz University Press |
series |
Acta Universitatis Lodziensis. Folia Oeconomica |
issn |
0208-6018 2353-7663 |
publishDate |
2020-11-01 |
description |
The purpose of this publication is to propose a permutation test to detect the departure from symmetry in multidimensional contingency tables. The proposal is a multivariate extension of McNemar’s test. McNemar’s test could be applied to 2 × 2 contingency tables. The proposal may be also treated as a modification of Cochran’s Q test which is used for testing dependency for multivariate binary data. The form of the test statistics that allows us to detect the departure from counts symmetry in multidimensional contingency tables is presented in the article. The permutation method of observations was used to estimate the empirical distribution of the test statistics. The considerations were supplemented with examples of the use of a multivariate test for simulated and real data. The application of the proposed test allows us to detect the asymmetrical distribution of counts in multivariate contingency tables. |
topic |
permutation test mcnemar’s test multivariate test |
url |
https://czasopisma.uni.lodz.pl/foe/article/view/6454 |
work_keys_str_mv |
AT grzegorzkonczak amultivariateextensionofmcnemarstestbasedonpermutations AT grzegorzkonczak multivariateextensionofmcnemarstestbasedonpermutations |
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1724231906137997312 |