© 1971 by Biometrika Trust
Optimal allocation of observations for partitioning a set of normal populations in comparison with a control
University of Minnesota
University of Nebraska
The optimal allocation of observations when several experimental populations are simultaneously compared with a control is discussed. Two optimal rules are considered: to minimize the expected number of populations misclassified and to maximize the probability of a correct decision. It is shown that these two rules are different, but that they are asymptotically equivalent as the total sample size becomes large.
Key Words: Optimal allocation Comparison of treatments with control Simultaneous comparisons Multiple decision problems