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Subset Selection Procedures for Normal Means under Unequal Sample Sizes

Hubert J. Chen, Edward J. Dudewicz and Young Jack Lee
Sankhyā: The Indian Journal of Statistics, Series B (1960-2002)
Vol. 38, No. 3 (Aug., 1976), pp. 249-255
Published by: Springer on behalf of the Indian Statistical Institute
Stable URL: http://www.jstor.org/stable/25052020
Page Count: 7
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Subset Selection Procedures for Normal Means under Unequal Sample Sizes
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Abstract

Let $\pi _{1},\ldots,\pi _{k}$ be k(≥ 2) independent normal populations with unknown means $\mu _{1},\ldots,\mu _{k}$ respectively and unknown common variance $\sigma ^{2}$. Based on $n_{i}$ observations from $\pi _{i}(1\leq i\leq k)$ a class of subset selection procedures for selection of a non-empty subset including the population with the largest mean is proposed and studied. Comparisons are given between the proposed procedures and those of Gupta and D.-Y, Huang (1976) and Gupta and W. -T. Huang (1974) in terms of probability of correct selection, expected subset size, and ease of implementation in terms of both available tabled constants and numbers of computations.

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