Dynamic response systems are often found in science, engineering, and medical applications, but the discussion on experimental design for such a system is relatively rare in literature. For an experimenter, designing such experiments requires making decisions on (1) when or where to take response measurements along the dynamic variable and (2) how to choose the combination of experimental factors and their levels. The first consideration is unique for such experiments, especially when the measurement cost is high. In this paper, we present a design approach through the mixed‐effect linear model, which is based on a hierarchical B‐spline function for the dynamic response. We develop several theorems that can assist in finding a statistically efficient sampling plan and propose an algorithm for searching the D‐optimal design of a dynamic response system.

中文翻译：

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在设计通过回归样条建模的动态响应的实验时

动态响应系统通常在科学，工程和医学应用中找到，但是在文献中很少有关于这种系统的实验设计的讨论。对于实验人员而言，设计此类实验需要做出以下决定：（1）何时或在何处进行沿动态变量的响应测量；（2）如何选择实验因素及其水平的组合。对于此类实验，第一个考虑因素是唯一的，尤其是在测量成本较高时。在本文中，我们通过混合效果线性模型提出了一种设计方法，该模型基于动态响应的分层B样条函数。