Development of statistical models for data with multi-layered characteristics in psychological research

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Research on improving estimation accuracy of probability models has been the main stream of statistical analysis. Although theory of mathematical statistics has been quickly developed last decades, other types of developments are seemed to be required for practical data analysis for psychological research including test analysis of academic achievement tests. The most important subject is to develop statistical method that fully utilizes complicated background information related to research tasks. In this project we developed statistical models and their estimation methods for psychological research considering technical developments in numerical and symbolic information processing.