An asymptotically distribution-free test for ordered alternatives in two- way layouts
An asymptotically distribution-free test is proposed for unequally spaced ordered alternatives in two-way layouts. The test statistic is a linear function of the ranks of residuals when the nuisance parameters are estimated. We show that the limiting distribution of the test statistic, when properly standardized, is normal. The asymptotic relative efficiency comparisons (in Pitman sense) with respect to the likelihood derivative test and nonparametric tests for randomized complete blocks show that our procedure is generally more powerful.
linear function of the ranks of residuals
scientific article; zbMATH DE number 3936225
scientific article