Abstract
We consider row-column designs with unequal replication. However the results obtained hold for equal replication designs also. Some results are derived concerning the projection of treatment contrasts onto the mutually orthogonal subspaces viz., the row space, the column space and the “interaction” space. Efficiency bounds for row-column designs are derived which depend on a commutativity property of the incidence matrices. Canonical efficiencies are investigated also and finally some examples which illustrate the results are presented.
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