Kearns, B. orcid.org/0000-0001-7730-668X (2021) Hazard function modeling. In: Wiley StatsRef: Statistics Reference Online. Wiley ISBN 9781118445112
Abstract
A wide variety of outcomes can be characterized by their time of occurrence. The hazard function describes how the instantaneous risk of the event occurring changes over time. Hazard function modeling aids in interpreting this temporal evolution, allows for extrapolations to future time points, and quantifies the impact of covariates. Estimates of survival over time may also be obtained from the hazard function. Formal definitions of the hazard and survival functions are provided, along with details of models that are traditionally used: the exponential, Weibull, Gompertz, gamma, lognormal, and log‐logistic. Limitations of these models are discussed, which motivate the use of models with increased flexibility. These include fractional polynomials, spline‐based models, and dynamic survival models. These models make the assumption that the hazard function is smooth over time. This is a less‐restrictive assumption than those employed by traditional models. Formal definitions are provided for these flexible models, along with a discussion of their strengths and limitations.
Metadata
Item Type: | Book Section |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2021 John Wiley & Sons, Ltd. |
Keywords: | hazard function; survival analysis; time‐to‐event analysis; parametric modeling; extrapolation |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Medicine, Dentistry and Health (Sheffield) > School of Health and Related Research (Sheffield) > ScHARR - Sheffield Centre for Health and Related Research |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 11 Mar 2021 09:13 |
Last Modified: | 11 Mar 2021 09:13 |
Status: | Published online |
Publisher: | Wiley |
Refereed: | Yes |
Identification Number: | 10.1002/9781118445112.stat08257 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:172024 |