The Mathematical Education (한국수학교육학회지시리즈A:수학교육)
- Volume 37 Issue 1
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- Pages.1-13
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- 1998
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- 1225-1380(pISSN)
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- 2287-9633(eISSN)
Study on Estimating the Optimal Number-right Score in Two Equivalent Mathematics-test by Linear Score Equating
수학교과의 동형고사 문항에서 양호도 향상에 유효한 최적정답율 산정에 관한 연구
Abstract
In this paper, we have represented the efficient way how to enumerate the optimal number-right scores to adjust the item difficulty and to improve item discrimination. To estimate the optimal number-right scores in two equivalent math-tests by linear score equating a measurement error model was applied to the true scores observed from a pair of equivalent math-tests assumed to measure same trait. The model specification for true scores which is represented by the bivariate model is a simple regression model to inference the optimal number-right scores and we assume again that the two simple regression lines of raw scores and true scores are independent each other in their error models. We enumerated the difference between mean value of
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