A Quick and Easy Multiple-Use Calibration-Curve Procedure
作者:
R.J. Carroll,
C.H. Spiegelman,
J. Sacks,
期刊:
Technometrics
(Taylor Available online 1988)
卷期:
Volume 30,
issue 2
页码: 137-141
ISSN:0040-1706
年代: 1988
DOI:10.1080/00401706.1988.10488360
出版商: Taylor & Francis Group
关键词: Scheffe uncertainty bounds;Confidence intervals;Nonparametric calibration
数据来源: Taylor
摘要:
The standard multiple-use calibration procedure of Scheffé (1973) states that with probability 1 – δ, the proportion of calculated confidence intervals containing the true unknowns is at least 1 – α in the long run. The probability 1 – δ refers to the probability that the calibration experiment results in a “good” outcome. In Scheffé's formulation, a good outcome involves both coverage of the true underlying regression curve and an upper confidence limit for σ, the scale parameter. Scheffé's procedure is fairly difftcult for practitioners to apply, because it relies on tables that are not easy to use. A simpler notion of “goodness” that requires only the coverage of the underlying regression leads to easily calculated confidence intervals for the unknowns. In addition, these intervals are generally shorter than Scheffé's. An application example is given to illustrate the technique.
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