Some New Constructors for Minimal Circular Partially Balanced Neighbor Designs

Authors

Qaisar Mehmood, Department of Quantitative Method, University of Management and Technology Lahore, PakistanFollow
Hafiz Muhammad Arshad, Department of Management Sciences, COMSATS Sahiwal, PakistanFollow
Khadija Noreen, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Imran Munir, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Abdul Salam, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Rashid Ahmed, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow

Abstract

Minimal circular neighbor designsa are economical to minimize the bias due to neighbor effects for v odd. For v even, minimal circular partially balanced neighbor designs (MCPBNDs) are used. Generators to obtain MCPBNDs-II in equal, two and three different blocks sizes are available in literature for c = 0 and 1, where c is remainder if m is divided by 4, m = (v − 2)/2 and v is number of treatments. These designs have not been constructed for c = 2 and 3. To complete the construction of this class of neighbor designs, MCPBNDs-II are, therefore, constructed for the remaining cases. MCPNBDs-II are the neighbor designs in which 3v/2 pairs of different treatments do not appear as neighbors.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/120110

Recommended Citation

Mehmood, Qaisar; Muhammad Arshad, Hafiz; Noreen, Khadija; Munir, Imran; Salam, Abdul; and Ahmed, Rashid (2023) "Some New Constructors for Minimal Circular Partially Balanced Neighbor Designs," Journal of Statistics Applications & Probability: Vol. 12: Iss. 1, Article 10.
DOI: http://dx.doi.org/10.18576/jsap/120110
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol12/iss1/10