Some New Constructions of Minimal Circular Partially Neighbor Balanced Designs

Authors

Muhammad Nadeem, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Rashid Ahmed, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Qaisar Mehmood, Department of Quantitative Method, University of Management and Technology Lahore, PakistanFollow
Berihan R. Elemary, Department of Applied, Mathematical and Actuarial Statistics, Damietta University and NUB-Nahda University, Beni Suef, EgyptFollow

Abstract

Neighbor balanced designs (NBDs) are used to balance the neighbor effects in the experiments where performance of a treatment is influenced with the treatments applied in its neighboring units. Among these designs, experimenters prefer minimal NBDs but minimal circular NBDs can be generated only for ν (number of treatments) odd. For v even, minimal partially neighbor balanced designs (PNBDs) may be considered as better alternates to the minimal NBDs. In this article, minimal circular PNBDs are constructed in which 3ν/2 unordered pairs of distinct treatments do not appear as neighbors.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110307

Recommended Citation

Nadeem, Muhammad; Ahmed, Rashid; Mehmood, Qaisar; and R. Elemary, Berihan (2022) "Some New Constructions of Minimal Circular Partially Neighbor Balanced Designs," Journal of Statistics Applications & Probability: Vol. 11: Iss. 3, Article 7.
DOI: http://dx.doi.org/10.18576/jsap/110307
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss3/7