A Generalized Class of Circular Designs Strongly Balanced for Neighbor Effects

Authors

Hurria Ali, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Mohammad Nasir, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Muhammad Sajid Rashid, Department of Computer Science, The Islamia University of Bahawalpur, PakistanFollow
Khadija Noreen, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Rashid Ahmed, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Mahmood Ul Hassan, Department of Statistics, Stockholm University, Stockholm, SwedenFollow

Abstract

Minimal strongly balanced neighbor designs are useful (i) to minimize the bias due to neighbor effects economically, and (ii) to estimate the direct effect and neighbor effects independently. Such designs can easily be obtained for v odd and are available in literature. In this article, A generalized class of minimal circular designs strongly balanced for neighbor effects in blocks of equal and two different sizes have been constructed in which only v/2 unordered pairs of treatments do not appear as neighbors, where v is the number of treatments.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/120102

Recommended Citation

Ali, Hurria; Nasir, Mohammad; Sajid Rashid, Muhammad; Noreen, Khadija; Ahmed, Rashid; and Ul Hassan, Mahmood (2023) "A Generalized Class of Circular Designs Strongly Balanced for Neighbor Effects," Journal of Statistics Applications & Probability: Vol. 12: Iss. 1, Article 2.
DOI: http://dx.doi.org/10.18576/jsap/120102
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol12/iss1/2