The function constructs row-column designs based on complete sets of mutually orthogonal latin squares. Each subject may get each tratment at most once. The design is a generalized Youden design that is also balanced for carryover effects.
des.MOLS(trt, k = trt)A prime power less than 100. The number of treatments (products) to be tested.
An integer \(\leq \, trt\). Number of periods for each subject.
A matrix with \(trt(trt-1)\) rows and \(k\) columns representing the experimental design.
A complete set of mutually orthogonal latin squares is constructed using Galois Fields. The rows of the designs represent the treatment orders for the subjects. If an incomplete design with \(k\) columns is needed, only the first \(k\) columns of the designs are considered. The treatments are numbered 1,…,\(trt\). The entry \((i,j)\) of the design corresponds to the treatment the \(i\)-th subject gets in the \(j\)-th period.
Wakeling, I.N. and MacFie, H.J.H. (1995): Designing consumer trials balanced for first and higher orders of carry-over effect when only a subset of k samples from t may be tested. Food Quality and Preference 6, 299-308.
Williams, E. J. (1949): Experimental designs balanced for the estimation of residual effects of treatments. Australian Journal of Scientific Research, Ser. A 2, 149-168.
# NOT RUN {
des.MOLS(7,7)
des.MOLS(8,5)
# }
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