Comparison of Local Powers of Some Exact Tests for a Common Normal Mean with Unequal Variances

Yehenew G. Kifle () and Bimal K. Sinha ()
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Yehenew G. Kifle: University of Maryland Baltimore County
Bimal K. Sinha: University of Maryland Baltimore County

A chapter in Strategic Management, Decision Theory, and Decision Science, 2021, pp 75-85 from Springer

Abstract: Abstract The inferential problem of drawing inference about a common mean $$\mu $$ μ of several independent normal populations with unequal variances has drawn universal attention, and there are many exact tests for testing a null hypothesis $$H_0: \mu =\mu _{0}$$ H 0 : μ = μ 0 against both-sided alternatives. In this paper, we provide a review of their local power and a comparison. It turns out that, in the case of equal sample size, a uniform comparison and ordering of the exact tests based on their local power can be carried out even when the variances are unknown.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-1368-5_6

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DOI: 10.1007/978-981-16-1368-5_6

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