Confidence Curves: An Omnibus Technique for Estimation and Testing Statistical Hypotheses
作者:
Allan Birnbaum,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1961)
卷期:
Volume 56,
issue 294
页码: 246-249
ISSN:0162-1459
年代: 1961
DOI:10.1080/01621459.1961.10482107
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A standard practice of physical scientists is to report estimates (“measurements”) accompanied by their standard errors (or alternatively “average errors” or “probable errors”). Such reports are interpreted flexibly as appropriate in various contexts of application. With the usual normality assumption, such reports may be read as representing confidence intervals or limits at the various confidence levels, and this omnibus character largely accounts for the convenience and flexibility of such reports and interpretations. For estimators not normally distributed, a formal analogue of such reports is provided byconfidence curves, which are estimates of an omnibus form incorporating confidence intervals and limits at various levels. The definition and computation of such estimates, and their graphical representation and interpretation, are discussed and illustrated by an example.
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