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Biometrika 1986 73(3):695-700; doi:10.1093/biomet/73.3.695
© 1986 by Biometrika Trust
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A method for constructing balanced incomplete-block designs with nested rows and columns

CHING-SHUI CHENG

Department of Statistics, University of California Berkeley, California 94720, U.S.A.

A general method for constructing balanced incomplete-block designs with nested rows and columns is presented. Many designs are obtained in which none of the treatment-block, treatment-row and treatment-column incidence matrices is the incidence matrix of a balanced incomplete-block design. If the method of construction is applied to a generally balanced design, then the resulting design is also generally balanced.

Key Words: Balanced incomplete-block design • Balanced lattice square • General balance • Nested rows and columns • Row-column design


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