Theory & Methods: The Asymptotic Power Of Jonckheere‐Type Tests For Ordered Alternatives

For the c‐sample location problem with ordered alternatives, the test proposed by Barlow et al. (1972 p. 184) is an appropriate one under the model of normality. For non‐normal data, however, there are rank tests which have higher power than the test of Barlow et al., e.g. the Jonckheere test or so‐called Jonckheere‐type tests recently introduced and studied by Büning & Kössler (1996). In this paper the asymptotic power of the Jonckheere‐type tests is computed by using results of Hájek (1968) which may be considered as extensions of the theorem of Chernoff & Savage (1958). Power studies via Monte Carlo simulation show that the asymptotic power values provide a good approximation to the finite ones even for moderate sample sizes.