The importance of large scale achievement tests, like national tests in school, eligibility tests for university, or international assessments for evaluation of students, is increasing. Pretesting of questions for the above mentioned tests is done to determine characteristic properties of the questions by adding them to an ordinary achievement test. If computerized tests are used, it has been shown using optimal experimental design methods that it is efficient to assign pretest questions to examinees based on their abilities. The specific distribution of abilities of the available examinees are considered and restricted optimal designs are applied. A new algorithm is developed which builds on an equivalence theorem. It discretizes the design space with the possibility to change the grid adaptively during the run, makes use of an exchange idea and filters computed designs. It is illustrated how the algorithm works through some examples as well as how convergence can be checked. The new algorithm is flexible and can be used even if different models are assumed for different questions.

大规模的成就测验，例如学校的国家测验，大学的资格测验或对学生进行评估的国际评估的重要性正在增加。通过将上述问题添加到普通成绩测试中，可以对上述测试进行问题的预测试，以确定问题的特征。如果使用计算机化考试，则已证明使用最佳实验设计方法可以有效地根据考生的能力将预测问题分配给考生。考虑了可用考生的能力的具体分布，并应用了受限的最佳设计。开发了一种基于等价定理的新算法。它使设计空间离散化，并可能在运行期间自适应地更改网格，利用交换思想并过滤计算的设计。通过一些示例说明了该算法的工作原理以及如何检查收敛性。新算法具有灵活性，即使针对不同问题采用了不同的模型也可以使用。