A JONCKHEERE TYPE TEST FOR THE PARALLELISM OF REGRESSION LINES

Eunsook Jee
2013 The Pure and Applied Mathematics  
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
more » ... rmality and asymptotic distribution-free properties of the test statistic are obtained under some regularity conditions.
doi:10.7468/jksmeb.2013.20.2.109 fatcat:eg6ismbffrcvtngtmaxn4alxfi