2つの問題からなるテストの正答率に関する解析について

概要

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When we compare teaching methods or instructional materials or investigate the understanding process and process of problem solving, we give students a problem in several condition and compare the rates of correct answers. In this case the rates of correct answers are considered to be influenced by the difficulty of the problem and the heterogeneity of the scholarship. Such a influence is solved to some extent by testing several problems. In this paper we concentrate the interest to the test which is consist of two problems in several conditions respectively. We constract the model with association of two problems and propose to estimate the parameter by maximam likelihood method useing EM algorithm. The data in Soeda and Fujii (1992) is analyzed. To investigate the influence of the association of two problems, we compare the proposed method with the method that we analyze the problems distinctively.