Optimal row - column design for three treatments. (English) Zbl 1107.62062
Summary: The A-optimality problem is solved for three treatments in a row–column layout. Depending on the numbers of rows and columns, the requirements for optimality can be decidedly counterintuitive: replication numbers need not be as equal as possible, and trace of the information matrix need not be maximal. General rules for comparing \(3\times 3\) information matrices for their A-behavior are also developed, and the A-optimality problem is also solved for three treatments in simple block designs.
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