The subject of this work is multiple group random coefficients regression models with several treatments and one control group. Such models are often used for studies with cluster randomized trials. We investigate A-, D- and E-optimal designs for estimation and prediction of fixed and random treatment effects, respectively, and illustrate the obtained results by numerical examples.

中文翻译：

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多组随机系数回归模型的优化设计

这项工作的主题是具有多种治疗方法和一个对照组的多组随机系数回归模型。这种模型通常用于集群随机试验的研究。我们分别研究了A，D和E优化设计，以估计和预测固定和随机治疗效果，并通过数值示例说明了获得的结果。