Serially balanced designs for two sets of treatments.

Serially balanced designs are useful in applications in which repeated measurements of multiple samples (treatments) are being taken according to an ordered sequence. The design permits the estimation of direct treatment and carryover effects. When the samples comprise two groups, where the sequence requires samples from one group to be separated by samples from another group (e.g., when a wash step has to be performed between treated samples), then the sequence has to be arranged in such a way as to accommodate this requirement. The solution to the construction of such a serially balanced sequence is given according to the construction method given by Altan et al. (2004) for the first group of treatments in combination with the use of an F-square to dictate placement of the second group of treatments.