SENSITIVITY ANALYSIS IN HAYASHI'S THIRD METHOD OF QUANTIFICATION

Abstract

A method of sensitivity analysis is proposed to detect the influential observations in Hayashi's third method of quantification (Hayashi, 1956). It evaluates the changes of the eigenvalues and the scores assigned to the categories and/or individuals due to a small change of the weights for a single or multiple individuals (or categories) by using the perturbation theory of eigenvalue problems.