At the primary stage of most of scientific investigations, supersaturated designs (SSDs) are extremely cost-effective to scientists and engineers. Booth and Cox [Booth KHV, Cox DR. Some systematic supersaturated designs. Technometrics. 1962;4:489–495] proposed $E\left(s^2\right)$ as a criterion for comparing several SSDs. It is to be remarked that $E\left(s^2\right)$ fails to compare many of competing SSDs. To overcome this drawback of the measure proposed by Booth and Cox [Booth KHV, Cox DR. Some systematic supersaturated designs. Technometrics. 1962;4:489–495], here we propose R-optimality as a measure for comparing SSDs. Moreover, the proposed measure unifies the existing measures for column balanced SSDs.

在大多数科学研究的初级阶段，过饱和设计 (SSD) 对科学家和工程师来说极具成本效益。布斯和考克斯 [布斯 KHV，考克斯博士。一些系统的过饱和设计。技术计量学。1962;4:489-495] 提议$乙\left({秒}^2\right)$作为比较多个 SSD 的标准。需要说明的是$乙\left({秒}^2\right)$无法比较许多竞争 SSD。为了克服 Booth 和 Cox [Booth KHV, Cox DR. 一些系统的过饱和设计。技术计量学。1962;4:489-495]，在这里我们建议R最优性作为比较 SSD 的衡量标准。此外，提议的措施统一了列平衡 SSD 的现有措施。