African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

Minimal strongly balanced changeover designs with first residuals

  V. K. Sharma*, Yogita Gharde and Cini Varghese
Indian Agricultural Statistics Research Institute, New Delhi, India.  
Email: [email protected]

  •  Accepted: 28 June 2010
  •  Published: 30 September 2010




Assuming the presence of first order residual effects, besides periods, experimental units and direct effects of treatments, a class of minimal strongly balanced changeover designs has been proposed. For v treatments, the designs require 2v experimental units for v/2 periods. It is seen that in terms of variances of estimated elementary contrasts in treatment effects, these designs are partially balanced based on the circular association scheme. The efficiency factors for the estimation of various treatment effects of the proposed designs relative to the orthogonal designs have been tabulated for v £ 24.


Key words: Minimal strongly balanced designs, changeover design, crossover designs, repeated measurements designs, residual effects, partially balanced changeover designs.