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Journal of Korean Society for Quality Management 1990;18(1): 29-. |
A Nonparametric Test for the Equality of Several Regression Lines against Ordered Alternatives |
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ABSTRACT |
In this paper we propose a nonparametric test for testing the equality of several regression lines against ordered alternatives, when the independent variables are positive and all regression lines have a common intercept. The proposed test is based on a Jonckheere-type statistic applied to residuals. Under some conditions our proposed test statistic is asymptotically distribution-free. The small-sample powers of our test are compared with other tests by a Monte Carlo study. The simulation results show that the proposed test has significantly higher empirical powers than the other tests considered in this paper. |
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