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Automated Test Assembly with Mixed‐Integer Programming: The Effects of Modeling Approaches and Solvers
Journal of Educational Measurement ( IF 1.188 ) Pub Date : 2019-11-19 , DOI: 10.1111/jedm.12262
Xiao Luo 1
Affiliation  

Automated test assembly (ATA) is a modern approach to test assembly that applies advanced optimization algorithms on computers to build test forms automatically. ATA greatly improves the efficiency and accuracy of the test assembly. This study investigated the effects of the modeling methods and solvers in the mixed‐integer programming (MIP) approach to ATA in the context of assembling parallel linear test forms and multistage testing (MST) panels. The results of two simulation studies indicated that the newly proposed maximin modeling method significantly improved the parallelism of the test information functions (TIFs) among assembled test forms while maintaining relatively high overall TIFs, and the newly proposed binary minimax method considerably reduced the overall discrepancies from the targets. A comparison of four freely available noncommercial MIP solvers from the utilitarian, as opposed to the benchmarking, perspective was also included in this study.

中文翻译:

具有混合整数编程的自动测试程序集:建模方法和求解器的效果

自动化测试程序集(ATA)是一种现代的测试程序集方法,该方法在计算机上应用高级优化算法来自动构建测试表。ATA大大提高了测试组件的效率和准确性。这项研究调查了在组装并行线性测试表格和多阶段测试(MST)面板的情况下,建模方法和求解器在ATA的混合整数编程(MIP)方法中的影响。两项仿真研究的结果表明,新提出的maximin建模方法显着改善了组装测试形式之间测试信息函数(TIF)的并行性,同时保持了相对较高的总体TIF,并且新提出的二进制minimax方法大大降低了与目标。
更新日期:2019-11-19
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