Sensitivity analysis for ranked data

Sensitivity analysis is to study the influence of a small change in the input data on the output of the analysis. Han and Huh (1995) developed a quantification method for the ranked data. However, the question of stability in the analysis of ranked data has not been considered. Here, we propose a method of sensitivity analysis for ranked data. Our aim is to evaluate perturbations by using a graphical approach suggested by Han and Huh (1995). It extends the results obtained by Tanaka (1984) and Huh (1989) for the sensitivity analysis in Hayashi's third method of quantification and those by Huh and Park (1990) for the principal component reduction of the case influence derivatives in regression. A numerical example is provided to explain how to conduct sensitivity analysis based on the proposed approach.