In some experiments each observation is correlated to the observations in its neighborhoods. The circulant correlation is a structure with this situation for circular block designs. The main aim of this paper is to study optimal properties of some circular block designs under the model with circulant correlation. Also, we introduce circular equineighbored designs (CEDs) and show that, under circulant correlation, some CEDs are universally optimal over the class of generalized binary block designs. Some methods of construction these optimal designs with various number of treatments and block sizes are presented.

中文翻译：

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相关观测下圆形等邻块设计的最优性

在一些实验中，每个观察都与其邻域中的观察相关。对于圆形块设计，循环相关是具有这种情况的结构。本文的主要目的是研究循环相关模型下一些圆形块设计的最优特性。此外，我们引入了循环等邻设计 (CED) 并表明，在循环相关下，一些 CED 在广义二元块设计类中普遍最优。提出了一些构建这些具有不同处理次数和块大小的优化设计的方法。