Simultaneous confidence sets for several effective doses

Tompsett, Daniel M.; Biedermann, Stefanie and Liu, Wei (2018). Simultaneous confidence sets for several effective doses. Biometrical Journal, 60(4) pp. 703–720.

DOI: https://doi.org/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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About

• Item ORO ID
• 72256
• Item Type
• Journal Item
• ISSN
• 1521-4036
• Keywords
• effective dose; inverse dose response curve; logistic regression; simultaneous confidence band; simultaneous inference
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2018 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
• Related URLs
• • https://eprints.soton.ac.uk/413135/(Other)
• Depositing User
• Stefanie Biedermann