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ON MUTUALLY ORTHOGONAL AND TOTALLY BALANCED SETS OF BALANCED INCOMPLETE BLOCK DESIGNS WITH NESTED ROWS AND COLUMNS
John P. Morgan and Nizam Uddin
Vol. 3, No. 2 (July 1993), pp. 435-451
Published by: Institute of Statistical Science, Academia Sinica
Stable URL: http://www.jstor.org/stable/24304968
Page Count: 17
You can always find the topics here!Topics: Set design, Mathematics, Design efficiency, Orthogonality, Statism, Experiment design, Statistics, Terminology
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Families of balanced incomplete block designs with nested rows and columns are developed for multistage experimentation. In some designs the stages, or distinct treatment sets, are orthogonal to one another, and in others totally balanced. For given numbers of treatments, blocks, stages, and block size, the technique leads to a variety of totally balanced designs, from which the most efficient is selected.
Statistica Sinica © 1993 Institute of Statistical Science, Academia Sinica