ABSTRACT

In applications of item response theory (IRT), fixed parameter calibration (FPC) has been used to estimate the item parameters of a new test form on the existing ability scale of an item pool. The present paper presents an application of FPC to multiple examinee groups test data that are linked to the item pool via anchor items, and investigates the performance of FPC relative to an alternative approach, namely independent 0–1 calibration and scale linking. Two designs for linking to the pool are proposed that involve multiple groups and test forms, for which multiple-group FPC can be effectively used. A real-data study shows that the multiple-group FPC method performs similarly to the alternative method in estimating ability distributions and new item parameters on the scale of the item pool. In addition, a simulation study shows that the multiple-group FPC method performs nearly equally to or better than the alternative method in recovering the underlying ability distributions and the new item parameters.

摘要

在项目响应理论（IRT）的应用中，固定参数校准（FPC）已用于根据项目库的现有能力规模来估计新测试表格的项目参数。本文介绍了FPC在通过锚项目链接到项目库的多个受检者组测试数据上的应用，并研究了FPC相对于另一种方法的性能，即独立的0–1校准和量表链接。提出了两种链接到池的设计，其中涉及多个组和测试表单，可以有效使用多组FPC。一项实际数据研究表明，多项目组FPC方法在估计项目池规模上的能力分布和新项目参数方面与替代方法相似。此外，