Algorithm to generate efficient circular designs robust to neighbor effects

• Published in: Kuwait journal of science Vol. 51; no. 1; p. 100135
• Main Authors: Fardos, Akbar, Hassan, Mahmood Ul, Jamal, Farrukh, Ali, Hurria, Noreen, Khadija, Ahmed, Rashid
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.01.2024; Elsevier
• Subjects: Algorithm; Direct effects; Minimal design; Neighbor effects; Minimal design; Neighbor effects; Algorithm; Direct effects
• ISSN: 2307-4108; 2307-4116; 2307-4116
• DOI: 10.1016/j.kjs.2023.10.003

Minimal circular balanced and strongly balanced neighbor designs (MCBNDs & MCSBNDs) are popular to control neighbor effects and to estimate neighbor and direct effects independently. In this article, an R-coded algorithm is presented to obtain efficient MCBNDs and MCSBNDs for odd v (number of treatments), and its four generalized classes for v even. Developed algorithm has made the construction of the efficient circular designs robust to neighbor effects so easy in blocks of equal and unequal sizes. •Anyone can easily use these R-codes to create sets for circular balanced neighbor designs.•The R-based algorithm creates designs for odd and even v (treatments to compare) efficiently.•Outputs are obtained very quickly.•It offers a comprehensive solution for minimal circular neighbor designs along with their efficient classes.•The methodology for constructing shift sets is explained in detail in the accompanying papers.