Many techniques for automated model specification search based on numerical indices have been proposed, but no single decisive method has yet been determined. In the present article, the performance and features of the model specification search method using a genetic algorithm (GA) were verified. A GA is a robust and simple metaheuristic algorithm with great searching power. While there has already been some research applying metaheuristics to the model fitting task, we focus here on the search for a simple structure factor analysis model and propose a customized algorithm for dealing with certain problems specific to that situation. First, implementation of model specification search using a GA with factor reordering for a simple structure factor analysis is proposed. Then, through a simulation study using generated data with a known true structure and through example analysis using real data, the effectiveness and applicability of the proposed method were demonstrated.
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.
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