National Chung-Cheng University, Chia-Yi, Taiwan, Republic of China.
Br J Math Stat Psychol. 2010 Feb;63(Pt 1):205-26. doi: 10.1348/000711009X430906. Epub 2009 Jun 19.
To date, exposure control procedures that are designed to control item exposure and test overlap simultaneously are based on the assumption of item sharing between pairs of examinees. However, examinees may obtain test information from more than one examinee in practice. This larger scope of information sharing needs to be taken into account in refining exposure control procedures. To control item exposure and test overlap among a group of examinees larger than two, the relationship between the two indices needs to be identified first. The purpose of this paper is to analytically derive the relationships between item exposure rate and each of the two forms of test overlap, item sharing and item pooling, for fixed-length computerized adaptive tests. Item sharing is defined as the number of common items shared by all examinees in a group, while item pooling is the number of overlapping items that an examinee has with a group of examinees. The accuracy of the derived relationships was verified using numerical examples. The relationships derived will lay the foundation for future development of procedures to simultaneously control item exposure and item sharing or item pooling among a group of examinees larger than two.
迄今为止，旨在同时控制项目暴露和测试重叠的暴露控制程序是基于考生之间共享项目的假设。然而，在实践中，考生可能会从多个考生那里获得考试信息。在完善暴露控制程序时，需要考虑到这种更广泛的信息共享范围。为了控制两个以上考生群体的项目暴露和测试重叠，首先需要确定这两个指标之间的关系。本文的目的是分析推导出固定长度计算机自适应测试中项目暴露率与两种测试重叠形式（项目共享和项目汇流）之间的关系。项目共享是指一个考生与群体中所有考生共享的共同项目数量，而项目汇流是指一个考生与考生群体中重叠的项目数量。通过数值示例验证了推导关系的准确性。所推导的关系将为未来开发同时控制两个以上考生群体的项目暴露和项目共享或项目汇流的程序奠定基础。
