D-optimal designs are identified in classes of connected block designs with fixed block size when the number of experimental units is one or two more than the minimal number required for the design to be connected. An application of one of these results is made to identify D-optimal designs in a class of minimally connected row-column designs. Graph-theoretic methods are employed to arrive at the optimality results.
机构:
Poznan Univ Life Sci, Dept Math & Stat Methods, Wojska Polskiego 28, PL-60637 Poznan, PolandPoznan Univ Life Sci, Dept Math & Stat Methods, Wojska Polskiego 28, PL-60637 Poznan, Poland
Ceranka, B.
Graczyk, M.
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机构:
Poznan Univ Life Sci, Dept Math & Stat Methods, Wojska Polskiego 28, PL-60637 Poznan, PolandPoznan Univ Life Sci, Dept Math & Stat Methods, Wojska Polskiego 28, PL-60637 Poznan, Poland