Journal of Applied Mathematics and Decision Sciences
Volume 3 (1999), Issue 2, Pages 143-153

Nonparametric tests for data in randomised blocks with Ordered alternatives

J. C. W. Rayner1 and D. J. Best2

1School of Mathematics and Applied Statistics, University of Wollongong, Northfields Avenue, 2522, NSW, Australia
2CSIRO Mathematical and Information Sciences, PO Box 52, North Ryde 1670, NSW, Australia

Copyright © 1999 J. C. W. Rayner and D. J. Best. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


For randomized block designs, nonparametric treatment comparisons are usually made using the Friedman test for complete designs, and the Durbin test for incomplete designs; see, for example, Conover (1998). This permits assessment of only the mean rankings. Such comparisons are here extended to permit assessments of bivariate effects such as the linear by linear effect and the quadratic by linear, or umbrella effect.