Facultade de Fisioterapia

A class of tests for the two-sample problem for count data

Alba Fernandez, M. V.; Batsidis, A.; Jiménez Gamero, María Dolores
Abstract:
A class of tests for the two-sample problem for count data whose test statistic is an L2-norm of the difference between the empirical probability generating functions associated with each sample is considered. The tests can be applied to count data of any arbitrary fixed dimension. Since the null distribution of the test statistic is unknown, some approximations are investigated. Specifically, the bootstrap, permutation and weighted bootstrap estimators are examined. All of them provide consistent estimators. A simulation study analyzes the performance of these approximations for small and moderate sample sizes. This study also includes a comparison with other two-sample tests whose test statistic is a weighted integral of the difference between the empirical characteristic functions of the samples.
Year:
2017
Type of Publication:
Article
Journal:
Journal of Computational and Applied Mathematics
Volume:
318
Number:
SI
Pages:
220-229
Month:
July
DOI:
https://doi.org/10.1016/j.cam.2016.09.050
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