Union-intersection rank tests for ordered alternatives in a complete block design

Abstract

The union-intersection principle along with the theory of locally most powerful rank tests are incorporated in the formulation of some distribution-free rank tests for the ordered alternative problem in a complete block design. Both within block ranking and (generalized) weighted ranking schemes are considered. Some (finite sample size) approximations for the null hypothesis distributions of the test statistics are considered and the theory is supplemented by some numerical and simulation results.

Keywords:

• complete block design
• chi-bar distribution
• [Fbar] approximations
• ordered alternatives
• rank tests
• UI-principle
• weighted ranking