A QUANTIFICATION THEORY TYPE II USING THE JACKKNIFE AND THE BOOTSTRAP

Abstract

In the field of Social science, Behavioral science, and Medical science, a discriminant analysis for qualitative data proposed by Hayashi(Quantification Theory Type II)has been widely used among Japanese researchers with spread of its computer program. However, as the program has provided no procedure for estimating the variability of the estimated parameters, we could not examine the variability of the results, which might have sometimes led to misuse and misinterpretation of the results. This paper proposes an application of the jackknife and the bootstrap method to estimate the variability of the estimated parameters. Using these resampling methods we also propose a procedure for amalgamation of categories and selection of items. Applications are illustrated with two kinds of cohort data on circulatory diseases in Japan(Komazawa, 1982).