학술논문

ciuupi: An R package for Computing Confidence Intervals that Utilize Uncertain Prior Information.
Document Type
Article
Source
R Journal. Jun2019, Vol. 11 Issue 1, p323-336. 14p.
Subject
*CONFIDENCE intervals
*REGRESSION analysis
*CONSTRAINED optimization
*PACKAGING
*PROBABILITY theory
*UNCERTAIN systems
Language
ISSN
2073-4859
Abstract
We have created the R package ciuupi to compute confidence intervals that utilize uncertain prior information in linear regression. Unlike post-model-selection confidence intervals, the confidence interval that utilizes uncertain prior information (CIUUPI) implemented in this package has, to an excellent approximation, coverage probability throughout the parameter space that is very close to the desired minimum coverage probability. Furthermore, when the uncertain prior information is correct, the CIUUPI is, on average, shorter than the standard confidence interval constructed using the full linear regression model. In this paper we provide motivating examples of scenarios where the CIUUPI may be used. We then give a detailed description of this interval and the numerical constrained optimization method implemented in R to obtain it. Lastly, using a real data set as an illustrative example, we show how to use the functions in ciuupi. [ABSTRACT FROM AUTHOR]