Biometrical Letters Vol. 52(1), 2015, pp. 1-12
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X-1-BALANCE OF SOME PARTIALLY BALANCED EXPERIMENTAL DESIGNS WITH PARTICULAR EMPHASIS ON BLOCK AND ROW-COLUMN DESIGNS Ryszard Walkowiak Department of Mathematical and Statistical Methods, Poznan University of Life Sciences, Wojska Polskiego 28, 60-637 Poznań, Poland, e-mail: rwal@up.poznan.pl |
This paper considers block designs and row-column designs where the information matrix C has two different nonzero eigenvalues, one of multiplicity 1 and the other of multiplicity h–1, where h is the rank of the matrix C. It was found that for each such design there exists a diagonal positive definite matrix X such that the design is X-1 balanced.
block design, row-column design, efficiency balance, variance balance, X-1-balance
