Abstract
The experimental units in a statistical experiment are frequently grouped into blocks in one or more ways. When the different families of blocks fit together in a well-behaved way we have a distributive block structure. We show that the orbits of the automorphism group of a distributive block structure on pairs of experimental units are precisely the sets which the combinatorial structure leads one to expect. Possible generalizations of this result are discussed.
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© 1981 Springer-Verlag
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Bailey, R.A. (1981). Distributive block structures and their automorphisms. In: McAvaney, K.L. (eds) Combinatorial Mathematics VIII. Lecture Notes in Mathematics, vol 884. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091813
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DOI: https://doi.org/10.1007/BFb0091813
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