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Totally balanced test-control incomplete crossover designs and their statistical applications. (English) Zbl 1278.62116
Brualdi, Richard A. (ed.) et al., Combinatorics and graphs. Selected papers based on the presentations at the 20th anniversary conference of IPM on combinatorics, Tehran, Iran, May 15–21, 2009. Dedicated to Reza Khosrovshahi on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4865-4/pbk). Contemporary Mathematics 531, 43-58 (2010).
Summary: A class of two way arrays called totally balanced test-control incomplete crossover design (TBTCI) is introduced here. These designs could be applied to compar two or more test treatments with a control treatment. Multiple mathematical methods for constructing this class of arrays are developed, and discussed. Further research problems from both mathematical and statistical angles are indicated.
For the entire collection see [Zbl 1202.05003].
62K05 Optimal statistical designs
05B15 Orthogonal arrays, Latin squares, Room squares
05B10 Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.)