Abstract
WILLIAMS1 has devised experimental designs for use when several subjects are to be tested on successive occasions, and the response to the treatments on any one occasion may be modified by residual influences of the one or two previous treatments. We have recently considered the possibility of analogous designs that, under certain assumptions about the mathematical model, could be used for an experimental comparison of treatments on many occasions with one subject only. The practical importance of these designs is probably not great, but they are of interest as introducing new combinatorial problems.
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References
Williams, E. J., Australian Journal of Scientific Research, A, 2, 149 (1949) ; A, 3, 351 (1950).
Williams, R. M., Biometrika, 39, 151 (1952).
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FINNEY, D., OUTHWAITE, A. Serially Balanced Sequences. Nature 176, 748 (1955). https://doi.org/10.1038/176748a0
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DOI: https://doi.org/10.1038/176748a0
