Generation of all Possible Cycle Shifts in Crossover Design

Abstract

Hedayat and Yang (2003) proved that balanced uniform designs in the entire class of crossover designs based on v treatments, n subjects and p=v periods are Abstract | An important feature of this method is the properties of a design can be easily obtained from the sets of shifts instead of constructing the actual blocks of the design. This paper presents the results of a study in which the computer algorithm MATLAB has been used for the purpose of constructing Balanced Crossover design. This design is directly applied to agriculture, as its give an example of wheat to explain the concept. Crossover Designs have been constructed for different values of treatments, blocks and periods using all possible cyclic shifts. In this article, a computer program has been introduced. This is an era of technology, no one has time to do laborious work by hand. The results suggested some general rules for the construction of such designs. For p ≤ 5 and different combinations of n and p. All possible shifts will help the planners to enhance their choice.