A Comparison of Uncertainty Criteria for Calibration
作者:
RobertW. Mee,
KeithR. Eberhardt,
期刊:
Technometrics
(Taylor Available online 1996)
卷期:
Volume 38,
issue 3
页码: 221-229
ISSN:0040-1706
年代: 1996
DOI:10.1080/00401706.1996.10484501
出版商: Taylor & Francis Group
关键词: Inverse regression;Simulation;Simultaneous prediction intervals;Simultaneous tolerance intervals
数据来源: Taylor
摘要:
Calibration consists of using a fitted regression line to estimate the value of an unobserved independent variablexcorresponding to an observed dependent variabley. To construct a confidence interval for a singlex, Eisenhart introduced a procedure that consists of inverting prediction intervals around the regression line. Numerous other inference procedures have been proposed for multiple-use calibration, in which a single fitted regression line is used repeatedly to estimate manyx's, We provide a synthesis of this literature and offer some numerical comparisons. We also attempt to motivate the use of various criteria based on the particular points of view of the various parties involved in determining the calibration or using the results. In addition, we derive probability expressions for computing exact simultaneous prediction intervals that enable the construction of tighter limits than are currently available based on that criterion.
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