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Hiroto Murohashi

Publications and source records attributed to Hiroto Murohashi.

3 recordsLinked to original sources

[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.

Adult↗

[Analysis of paired comparison data based on experimental design: expression using structural equation modeling].

Paired comparison is a useful method for assessing ranks among several objects, and it enables us to obtain more reliable data than assessing objects one by one. But paired comparison principally provides information only about the ranks of the objects. On the other hand, experimental design provides a framework for elucidating causal associations. If we could analyze paired comparison data by the experimental design framework, it would be a very effective method. But experimental design, in its original form, is not readily applicable to paired comparison data. However, if we adopt the perspective of structural equation modeling (SEM), we can deal with paired comparison and experimental design in a unified way, because they are both submodels of SEM. The purpose of this study is to provide a new method to analyze causal connection of paired comparison data by using SEM. Here, two actual numerical examples are shown, one of which is obtained by within-subject design and the other is obtained by between-subject design.

Humans↗

[Structural equation modeling using ability parameters: analysis of the situation where item parameters have been estimated by item response theory].

One of the problems with structural equation modeling (SEM) is that the estimation of measurement equation is not separated from the estimation of structural equation. The main aim of this study was to propose a new method to overcome that problem by using ability parameters estimated by item response theory (IRT) as data. According to IRT, the error variance of measurement equation can be easily computed as the reciprocal of the information function. By using the estimates of the error variance, we can fix all parameters in measurement equation and can separate the estimation of structural equation from that of measurement equation. This method also allows us to estimate relations among factor scores with improved precision, because the errors of estimating factor scores are taken into account. The article concludes with a simulation result for verifying the efficacy of this method and an actual numerical.

Adult↗