Some important classes of non-directional minimal circular weakly balanced neighbor designs

Abstract

Minimal neighbor designs are useful to balance out neighbor effects economically. The method of cyclic shifts provides the construction of these minimal designs in circular blocks only for v odd, where v is the number of treatments to be compared. Minimal circular weakly balanced neighbor designs are used for v even. In this article, two classes of minimal circular weakly balanced neighbor designs are constructed for v even. In class I, v/2 of all unordered pairs of two distinct treatments appear twice as neighbors while the remaining ones appear once. In class II, 3v/2 of all unordered pairs appear twice as neighbors.

Keywords:

• Generalized neighbor designs
• Method of cyclic shifts
• Neighbor effects
• Partially balanced neighbor designs

Acknowledgement

Authors are thankful to the anonymous reviewer and editor for their valuable suggestions which have improved the readability of the manuscript.