Efficient Circular Designs Partially Balanced for Residual Effects in Periods of Three Different Sizes

Authors

Muhammad Ejaz Malik, Department of Statistics, The Islamia University of Bahawalpur, PakistanDepartment of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Muhammad Shahbaz, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Muhammad Daniyal, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Khadim Hussain, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Muhammad Riaz, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow
Rashid Ahmed, Department of Statistics, The Islamia University of Bahawalpur, PakistanFollow

Author Country (or Countries)

Pakistan

Abstract

To estimate the treatment effects using repeated measurements designs (RMDs), residual effects often become the major source of bias. Minimal balanced RMDs are well known economical designs to minimize bias due to these effects for v odd, where v is the number of treatments to be compared. For v even, partially balanced RMDs are preferred. In this article, catalogues of two main classes of minimal circular partially balanced RMDs are compiled in periods of three different sizes. These designs possess high efficiency of residual effects and of Separability, therefore, our proposed designs are efficient.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/120216

Recommended Citation

Ejaz Malik, Muhammad; Shahbaz, Muhammad; Daniyal, Muhammad; Hussain, Khadim; Riaz, Muhammad; and Ahmed, Rashid (2023) "Efficient Circular Designs Partially Balanced for Residual Effects in Periods of Three Different Sizes," Journal of Statistics Applications & Probability: Vol. 12: Iss. 2, Article 17.
DOI: http://dx.doi.org/10.18576/jsap/120216
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol12/iss2/17