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Biometrika 1971 58(1):177-181; doi:10.1093/biomet/58.1.177
© 1971 by Biometrika Trust
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Optimal allocation of observations for partitioning a set of normal populations in comparison with a control

MILTON SOBEL and YUNG LIANG TONG

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


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