Distribution-free tests for comparing several treatments with a control
Article first published online: 29 APR 2008
Volume 36, Issue 3, pages 119–127, September 1982
How to Cite
Fligner, M. A. and Wolfe, D. A. (1982), Distribution-free tests for comparing several treatments with a control. Statistica Neerlandica, 36: 119–127. doi: 10.1111/j.1467-9574.1982.tb00783.x
- Issue published online: 29 APR 2008
- Article first published online: 29 APR 2008
- Received April 1981, Revised January 1982.
- Distribution-free test;
- One-way classification;
- Sample allocation;
- Treatment versus control;
- Two-way classification
Abstract In this paper we propose distribution-free treatments versus control tests for the one- and two-way classifications. The null distribution properties are shown to be equivalent to those of well-known statistics for which critical values have been extensively tabled. Asymptotic relative efficiencies with respect to corresponding normal theory competitors are derived and optimal designs for the allocation of experimental units to the treatments and control are obtained.