论文标题
最佳设计，用于估算重复项目响应测试中随着时间的流逝的平均能力
Optimal Design for Estimating the Mean Ability over Time in Repeated Item Response Testing
论文作者
论文摘要
我们介绍了D-最佳设计的一般结果，用于估计具有度量结果的重复测量曲线模型中的平均响应。在这种情况下，我们得出了一个新颖的等价定理，用于检查设计最佳性。这项工作的动机源自设计心理项目反应测试的研究，并进行多次重新测试以衡量能力的提高。除了可以获得分析结果的介绍性线性生长曲线外，我们还考虑了两个非线性生长曲线模型，这些模型具有越来越多的平均能力和饱和效应。对于这些模型，D-最佳设计由计算方法确定，并通过等价定理验证。
We present general results on D-optimal designs for estimating the mean response in repeated measures growth curve models with metric outcomes. For this situation, we derive a novel equivalence theorem for checking design optimality. The motivation of this work originates from designing a study in psychological item response testing with multiple retests to measure the improvement in ability. Besides introductory linear growth curves for which analytical results can be obtained, we consider two non-linear growth curve models incorporating an increasing mean ability and a saturation effect. For these models, D-optimal designs are determined by computational methods and are validated by means of the equivalence theorem.
