Abstract
This paper considers the application of Kronecker product for the construction of factorial designs, with orthogonal factorial structure, in a set-up for multiway elimination of heterogeneity. A technique involving the use of projection operators has been employed to show how a control can be achieved over the interaction efficiencies. A modification of the ordinary Kronecker product yielding smaller designs has also been considered. The results appear to have a fairly wide coverage.
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Mukerjee, R., Sen, M. Kronecker factorial designs for multiway elimination of heterogeneity. Ann Inst Stat Math 40, 195–210 (1988). https://doi.org/10.1007/BF00053966
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DOI: https://doi.org/10.1007/BF00053966