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.
@article{bwmeta1.element.doi-10_1515_bile-2015-0001, author = {Ryszard Walkowiak}, title = { X -1 -balance of some partially balanced experimental designs with particular emphasis on block and row-column designs }, journal = {Biometrical Letters}, volume = {52}, year = {2015}, pages = {1-12}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_bile-2015-0001} }
Ryszard Walkowiak. X −1 -balance of some partially balanced experimental designs with particular emphasis on block and row-column designs . Biometrical Letters, Tome 52 (2015) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_bile-2015-0001/
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