Paired comparison analysis by using structural equation modeling: Scheffe's method and its improvements

The purpose of this study is to propose a way to express and implement paired comparison analysis in a framework of structural equation modeling (SEM). By this method, one can perform paired comparison using widely available SEM programs and can develop a variety of models for specific purposes. Here, three models are shown. One is a model for performing basic paired comparison by using SEM. Another is an expanded model which makes it possible to apply analysis of variance (ANOVA) or regression analysis to the result of paired comparison. A third model is for paired comparison of latent factors. All models are illustrated with actual numerical examples.