The theory of optimal test-control block designs provides guidance on treatments allocation in experimental units. However, it is theoretically difficult to find them; therefore, the availability of an efficient and user-friendly algorithm for finding the optimal designs is essential for both researchers and practitioners. This paper describes an algorithm for constructing efficient test-control incomplete block designs with correlated observations. In order to evaluate the algorithm, we compare our results with the optimal designs presented in some published papers. An advantage of our algorithm is its independency to the size of blocks and the structure of correlation. Also, it takes to run between 30 s and 10 min depending on the type of CPU processor and the design.

中文翻译：

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寻找具有相关观察结果的高效测试控制模块设计的算法

最佳测试控制模块设计的理论为实验单元中的处理分配提供了指导。但是，理论上很难找到它们。因此，对于研究人员和从业人员来说，找到一种最佳设计的有效且用户友好的算法至关重要。本文介绍了一种用于构建具有相关观测值的有效测试控制不完整模块设计的算法。为了评估该算法，我们将我们的结果与一些已发表论文中提出的最佳设计进行了比较。我们算法的一个优点是它与块的大小和相关结构无关。另外，根据CPU处理器的类型和设计，此过程可能需要30到10分钟。