| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
In quantitative methods for the behavioral sciences, asymptotic properties of the parameter estimators in statistical models are derived. In particular, for the 3-parameter logistic model, a typical model in ability tests using item response theory (IRT), the ability and item parameters are focused on, where the maximum likelihood and Bayes modal estimators of these parameters are used. In the case of ability estimation, the weighted score estimator is also dealt with, where the two cases of known and estimated item parameters are considered. As a general statistical method, an asymptotic bias adjustment of usual maximum likelihood estimators minimizing the asymptotic mean square error is obtained. This method has been applied to the estimation of ability in IRT.
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