This article considers psychometric properties of composite raw scores and transformed scale scores on mixed‐format tests that consist of a mixture of multiple‐choice and free‐response items. Test scores on several mixed‐format tests are evaluated with respect to conditional and overall standard errors of measurement, score reliability, and classification consistency and accuracy under three item response theory (IRT) frameworks: unidimensional IRT (UIRT), simple structure multidimensional IRT (SS‐MIRT), and bifactor multidimensional IRT (BF‐MIRT) models. Illustrative examples are presented using data from three mixed‐format exams with various levels of format effects. In general, the two MIRT models produced similar results, while the UIRT model resulted in consistently lower estimates of reliability and classification consistency/accuracy indices compared to the MIRT models.

中文翻译：

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IRT在混合格式测试中为分数建模的方法

本文考虑了混合选择题和自由选择项的混合形式测试中的复合原始分数和转换后的量表分数的心理计量学特性。在以下三种项响应理论（IRT）框架下，针对几种混合格式测试的测试分数进行了条件和总体标准误差，分数可靠性以及分类一致性和准确性的评估：一维IRT（UIRT），简单结构多维IRT（ SS-MIRT）和双因素多维IRT（BF-MIRT）模型。使用来自三种混合格式考试的数据（具有不同级别的格式效果）提供了说明性示例。总体而言，两个MIRT模型产生的结果相似，