Asymptotic optimality of rank tests for randomized blocks

Both the method of ranking after alignment and the Tukey-Quade method of weighted rankings for the analysis of complete blocks are generalized so as to give rise to classes of tests containing a conditionally distribution-free test and strictly distribution-free tests that are asymptotically optimal in the sense that, when the number of blocks tends to infinity, their asymptotic local power reaches the one of the asymptotically minimax test based on block-location-free statistics.