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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

A JONCKHEERE TYPE TEST FOR THE PARALLELISM OF REGRESSION LINES

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Kwangwoon University)
Jee, Eunsook. (2013). A JONCKHEERE TYPE TEST FOR THE PARALLELISM OF REGRESSION LINES. 한국수학교육학회지시리즈B:순수및응용수학, 20(2), 109-116, https://doi.org/10.7468/jksmeb.2013.20.2.109
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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

참고문헌

1.

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2.

(2001). A STUDY ON A NONPARAMETRIC TEST FOR THE PARALLELISM OF k REGRESSION LINES AGAINST ORDERED ALTERNATIVES. Journal of Applied Mathematics & Informatics, 8(2), 669-682.

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(2005). A Study on a Nonparametric Test with Regression Depth. Journal of Institute of Statistics Korea University, 20, 65-76.

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(1954). A Distribution-free k-sample Test Against Ordered Alternatives. Biometrika, 41, 133-145. 10.1093/biomet/41.1-2.133.

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(1984). On Tests Applied to Residuals. Journal of American Statistical Association, 79, 349-354. 10.1080/01621459.1984.10478056.

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(1984). Testing Concurrence and Parallelism of Several Sample Regressions Against Ordered Alternatives. U. Stat. Ser. Statist., 15, 43-50. 10.1080/02331888408801745.

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(1987). On a Distribution-free Test for Parallelism of Regression Lines Against Ordered Alternatives. Journal of Korean Society for Quality Control, 15(2), 50-54.

한국수학교육학회지시리즈B:순수및응용수학

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