Lower percentage points of hartley's extremal quotient statistic and their applications |
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| Authors: | J J Bau Hubert J Chen Shun-Yi Chen |
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| Institution: | 1. Department of Statistics , University of Georgia , GA, 30602, Athens;2. Department of Mathematics , Tamkang University , Tamsui, Taiwan, ROC |
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| Abstract: | Consider K(>2) independent populations π1,..,π k such that observations obtained from π k are independent and normally distributed with unknown mean µ i and unknown variance θ i i = 1,…,k. In this paper, we provide lower percentage points of Hartley's extremal quotient statistic for testing an interval hypothesisH 0 θ k] θ k] > δ vs. H a : θ k] θ 1] ≤ δ , where δ ≥ 1 is a predetermined constant and θ k](θ 1]) is the max (min) of the θi,…,θ k . The least favorable configuration (LFC) for the test under H 0 is determined in order to obtain the lower percentage points. These percentage points can also be used to construct an upper confidence bound for θk]/θ1]. |
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| Keywords: | variance of normal distribution least favorable configuration interval hypothesis confidence bound rejection region |
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