Simultaneous confidence sets for several effective doses
Simultaneous confidence sets for several effective doses
Construction of simultaneous confidence sets for several effective doses currently relies on inverting the Scheffé type simultaneous confidence band, which is known to be conservative. We develop novel methodology to make the simultaneous coverage closer to its nominal level, for both two‐sided and one‐sided simultaneous confidence sets. Our approach is shown to be considerably less conservative than the current method, and is illustrated with an example on modeling the effect of smoking status and serum triglyceride level on the probability of the recurrence of a myocardial infarction.
Logistic Regression, Effective Dose, Simultaneous Confidence Band, Simultaneous Inference, Inverse Dose Response Curve
703-720
Tompsett, Daniel Mark
e4fed52d-064f-4fa4-93a9-e5ff46135aee
Biedermann, Stefanie
fe3027d2-13c3-4d9a-bfef-bcc7c6415039
Liu, Wei
b64150aa-d935-4209-804d-24c1b97e024a
July 2018
Tompsett, Daniel Mark
e4fed52d-064f-4fa4-93a9-e5ff46135aee
Biedermann, Stefanie
fe3027d2-13c3-4d9a-bfef-bcc7c6415039
Liu, Wei
b64150aa-d935-4209-804d-24c1b97e024a
Tompsett, Daniel Mark, Biedermann, Stefanie and Liu, Wei
(2018)
Simultaneous confidence sets for several effective doses.
Biometrical Journal, 60 (4), .
(doi:10.1002/bimj.201700161).
Abstract
Construction of simultaneous confidence sets for several effective doses currently relies on inverting the Scheffé type simultaneous confidence band, which is known to be conservative. We develop novel methodology to make the simultaneous coverage closer to its nominal level, for both two‐sided and one‐sided simultaneous confidence sets. Our approach is shown to be considerably less conservative than the current method, and is illustrated with an example on modeling the effect of smoking status and serum triglyceride level on the probability of the recurrence of a myocardial infarction.
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Accepted/In Press date: 20 February 2018
e-pub ahead of print date: 3 April 2018
Published date: July 2018
Keywords:
Logistic Regression, Effective Dose, Simultaneous Confidence Band, Simultaneous Inference, Inverse Dose Response Curve
Identifiers
Local EPrints ID: 413135
URI: http://eprints.soton.ac.uk/id/eprint/413135
ISSN: 0323-3847
PURE UUID: 8c1326fd-0203-409e-9581-f8ea2d0b3c41
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Date deposited: 16 Aug 2017 16:30
Last modified: 16 Mar 2024 06:15
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Author:
Daniel Mark Tompsett
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