Asymmetric confidence bands for simple linear regression over bounded intervals

Walter W. Piegorsch; R. Webster West; Obaid M. Al-Saidy; Kelly D. Bradley

doi:10.1016/S0167-9473(99)00097-3

Asymmetric confidence bands for simple linear regression over bounded intervals

Walter W. Piegorsch, R. Webster West, Obaid M. Al-Saidy, Kelly D. Bradley

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8 Scopus citations

Abstract

Computation of simultaneous confidence bands is described for simple linear regressions where the band is constructed to be asymmetric about the predictor mean. Both two-sided and one-sided bands are constructed. The bands represent extensions of a class of symmetric confidence bands due to Bowden, 1970. J. Amer. Statist. Assoc. 65, 413-421. An example illustrates the computations, and a WWW-based applet for computing the bands is described.

Original language	English
Pages (from-to)	193-217
Number of pages	25
Journal	Computational Statistics and Data Analysis
Volume	34
Issue number	2
DOIs	https://doi.org/10.1016/S0167-9473(99)00097-3
State	Published - 2000

Bibliographical note

Funding Information:
Thanks are due to Drs. Ralph L. Kodell and John D. Spurrier for their helpful comments during the preparation of this material. The research was supported by funding under grant #R01-CA76031 from the US National Cancer Institute. Its contents are solely the responsibility of the authors and do not necessarily reflect the official views of the National Cancer Institute.

ASJC Scopus subject areas

Statistics and Probability
Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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10.1016/S0167-9473(99)00097-3

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title = "Asymmetric confidence bands for simple linear regression over bounded intervals",

abstract = "Computation of simultaneous confidence bands is described for simple linear regressions where the band is constructed to be asymmetric about the predictor mean. Both two-sided and one-sided bands are constructed. The bands represent extensions of a class of symmetric confidence bands due to Bowden, 1970. J. Amer. Statist. Assoc. 65, 413-421. An example illustrates the computations, and a WWW-based applet for computing the bands is described.",

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AU - West, R. Webster

AU - Al-Saidy, Obaid M.

AU - Bradley, Kelly D.

N1 - Funding Information: Thanks are due to Drs. Ralph L. Kodell and John D. Spurrier for their helpful comments during the preparation of this material. The research was supported by funding under grant #R01-CA76031 from the US National Cancer Institute. Its contents are solely the responsibility of the authors and do not necessarily reflect the official views of the National Cancer Institute.

PY - 2000

Y1 - 2000

N2 - Computation of simultaneous confidence bands is described for simple linear regressions where the band is constructed to be asymmetric about the predictor mean. Both two-sided and one-sided bands are constructed. The bands represent extensions of a class of symmetric confidence bands due to Bowden, 1970. J. Amer. Statist. Assoc. 65, 413-421. An example illustrates the computations, and a WWW-based applet for computing the bands is described.

AB - Computation of simultaneous confidence bands is described for simple linear regressions where the band is constructed to be asymmetric about the predictor mean. Both two-sided and one-sided bands are constructed. The bands represent extensions of a class of symmetric confidence bands due to Bowden, 1970. J. Amer. Statist. Assoc. 65, 413-421. An example illustrates the computations, and a WWW-based applet for computing the bands is described.

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Asymmetric confidence bands for simple linear regression over bounded intervals

Abstract

Bibliographical note

ASJC Scopus subject areas

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