Row-column designs balanced for non-directional neighbour effects

Article type: Research Article

Authors: Varghese, Eldho^{; *} | Jaggi, Seema | Varghese, Cini

Affiliations: Indian Agricultural Statistics Research Institute, Library Avenue, New Delhi - 110 012, India

Correspondence: [*] Corresponding author: Indian Agricultural Statistics Research Institute, Library Avenue, New Delhi - 110 012, India. Tel.: +91 11 258 47122/4141; E-mail: [email protected]; [email protected].

Abstract: In this paper, a class of row-column design incorporating neighbour effects has been studied. A row-column design is said to be neighbour balanced if every treatment has all other treatments appearing as neighbour(s) constant number of times. We have considered here row-column designs with non-directional neighbour effects and method of constructing these designs has been developed. The characterization properties of the designs have also been studied and the designs are found to be variance balanced for the estimation of direct and neighbour effects of treatments.

Keywords: Neighbour effects, neighbour balanced row-column design, circular design, variance balanced, partially variance balanced

DOI: 10.3233/MAS-2011-0189

Journal: Model Assisted Statistics and Applications, vol. 6, no. 4, pp. 307-316, 2011