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Computer Research and Modeling, 2012, Volume 4, Issue 2, Pages 267–273
DOI: https://doi.org/10.20537/2076-7633-2012-4-2-267-273 (Mi crm486) 		 
MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Mathematical model and computer analysis of tests for homogeneity of “dose–effect” dependence

M. S. Tikhov, T. S. Borodina

Nizhny Novgorod State University, 23 Gagarina pr., Nizhny Novgorod, 603950, Russia
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DOI: https://doi.org/10.20537/2076-7633-2012-4-2-267-273
Abstract: The given work is devoted to the comparison of two tests for homogeneity: chi-square test based on contingency tables of $2\times2$ and test for homogeneity based on asymptotic distributions of the summarized square error of a distribution function estimators in the model of “dose–effect” dependence. The evaluation of test power is performed by means of computer simulation. In order to design efficiency functions the method of kernel regression estimator based on Nadaray-Watson estimator is used.
Keywords: a model of “dose-effect” dependence, a nonparametric method of kernel regression estimator, Nadaray-Watson estimator, tests for homogeneity.
Received: 20.03.2012
Revised: 13.05.2012
Document Type: Article
UDC: 519.2
Language: Russian
Citation: M. S. Tikhov, T. S. Borodina, “Mathematical model and computer analysis of tests for homogeneity of “dose–effect” dependence”, Computer Research and Modeling, 4:2 (2012), 267–273
Citation in format AMSBIB
\Bibitem{TikBor12}
\by M.~S.~Tikhov, T.~S.~Borodina
\paper Mathematical model and computer analysis of tests for homogeneity of
``dose--effect'' dependence
\jour Computer Research and Modeling
\yr 2012
\vol 4
\issue 2
\pages 267--273
\mathnet{http://mi.mathnet.ru/crm486}
\crossref{https://doi.org/10.20537/2076-7633-2012-4-2-267-273}
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