One-sided asymptotic inferences for a proportion

Two-sided asymptotic confidence intervals for an unknown proportion p have been the subject of a great deal of literature. Surprisingly, there are very few papers devoted, like this article, to the case of one tail, despite its great importance in practice and the fact that its behavior is usually d...

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Bibliographic Details
Published inJournal of applied statistics Vol. 43; no. 9; pp. 1738 - 1752
Main Authors Álvarez Hernández, M., Andrés, A. Martín, Herranz Tejedor, I.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.07.2016
Taylor & Francis Ltd
Subjects
Adjustment
Applied statistics
arcsine transformation
Asymptotic properties
Confidence intervals
Continuity
continuity correction
Failure
One-sided asymptotic confidence interval
Optimization
Wald method and adjusted Wald method
Wilson score method
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Summary:Two-sided asymptotic confidence intervals for an unknown proportion p have been the subject of a great deal of literature. Surprisingly, there are very few papers devoted, like this article, to the case of one tail, despite its great importance in practice and the fact that its behavior is usually different from that of the case with two tails. This paper evaluates 47 methods and concludes that (1) the optimal method is the classic Wilson method with a correction for continuity and (2) a simpler option, almost as good as the first, is the new adjusted Wald method (Wald's classic method applied to the data increased in the values proposed by Borkowf: adding a single imaginary failure or success).
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0266-4763
1360-0532
DOI:10.1080/02664763.2015.1117595