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Optimal Experimentation in Two Blocks
by
J. P. Morgan
Virginia Tech
Coauthors: Bo Jin
Faced with cost, time, or other pressures to keep an experiment small, blocking can be an effective tool for increasing precision of treatment comparisons. The simplest implementation of blocking is a division of experimental units into two equi-sized subsets, allocating one degree of freedom to explain unit heterogeneity. Small experiments will have block size k smaller than the number of treatments v being compared. This paper solves the problem of optimal allocation of treatments to two small, equi-sized blocks. The solution depends on the optimality criterion employed as well as the ratio [k/v].
Date received: June 26, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caur-31.