Asymptotic Relative Efficiencies of the Rank Transformation Procedure in Randomized Complete Block Designs

摘要

Rank tests provide an alternative to the usual normal theory F-test for the analysis of data from randomized complete blocks experiments. Two such rank tests are the Friedman test which employs the method of n-rankings and the rank transformation procedure which employs an overall ranking of the data. In this paper the asymptotic efficiency of the rank transformation procedure is developed and compared to the asymptotic efficiencies of Friedman's test and the usual F-test. These efficiencies are developed using contiguous alternatives that are shifts in location. Comparisons among the three tests are made using normal, Student, and double exponential within block distributions. Block effects are introduced by drawing location shifts from normal and uniform distributions and, also, by drawing scale changes from an inverted gamma densities. The asymptotic relative efficiencies were evaluated using numerical procedures. (ERA citation 09:034996)