|
Abstract:
|
The ranking and selection problem has been well-studied in the case of continuous responses. In this paper, we investigate two common decision rules when individuals in the population provide exhaustive rank-orderings of the alternatives. Both the Pitman efficiencies and the lower bounds on Bahadur efficiencies of the majority rule relative to the rank-sum rule are derived, assuming that the rank data are generated from either the Plackett-Luce or the translative strengths models. In addition, finite sample properties of the two methods are compared with the MLE approach through simulation studies. Our results suggest two things. First, when it is substantially more difficult to obtain a complete rank-ordering than simply the top choice, the majority rule performs adequately. Second, the rank-sum rule compares favorably to, and is substantially more robust than, the MLE approach.
|
