Optimal Row-Column Design for Three Treatments

نویسندگان

  • J. P. Morgan
  • Valentin Parvu
چکیده

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 × 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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تاریخ انتشار 2006