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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.20 No.2

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A JONCKHEERE TYPE TEST FOR THE PARALLELISM OF REGRESSION LINES

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2013, v.20 no.2, pp.109-116
https://doi.org/10.7468/jksmeb.2013.20.2.109
Jee, Eunsook
Jee,, E. (2013). A JONCKHEERE TYPE TEST FOR THE PARALLELISM OF REGRESSION LINES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 20(2), 109-116, https://doi.org/10.7468/jksmeb.2013.20.2.109

Abstract

In this paper, we propose a Jonckheere type test statistic for testing the parallelism of k regression lines against ordered alternatives. The order restriction problems could arise in various settings such as location, scale, and regression problems. But most of theory about the statistical inferences under order restrictions has been developed to deal with location parameters. The proposed test is an application of Jonckheere's procedure to regression problem. Asymptotic normality and asymptotic distribution-free properties of the test statistic are obtained under some regularity conditions.

keywords
nonparametric test, Jonckheere statistic, asymptotic distribution, Mann-Whitney statistic

Reference

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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