A new Ability Evaluation Method using the Stress-strength Model and its Implementation to e-learning Systems

要用测试结果同时获得学生的能力和问题难度，项目反应理论是有用的。然而，分析提供最合适问题的自适应测试存在一些困难。相反，应力-强度模型提供了能力的方差，能够对自适应试验结果进行分析。利用项目反应理论和应力-强度模型研究并实现了实用的自适应系统。

To obtain the abilities of students and problem difficulties together using a test result, the item response theory is useful. However, there are some difficulties to analyze the adaptive test that provides the most appropriate problem sequentially. On the contrary, the stress-strength model provides the variance for the ability, and is able to analyze the adaptive test result. Practical adaptive systems using the item response theory and the stress-strength model are investigated and accomplished.