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Li, W., Cetin, S., Ulgen, A. 
ORCID: 0000-0002-0872-667X, Cetin, M., Sivgin, H. and Yang, Y.,
2023.
Approximate reciprocal relationship between two cause-specific hazard ratios in COVID-19 data with mutually exclusive events.
The International Journal of Biostatistics.
ISSN 1557-4679
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Abstract
COVID-19 survival data presents a special situation where not only the time-to-event period is short, but also the two events or outcome types, death and release from hospital, are mutually exclusive, leading to two cause-specific hazard ratios (csHR d and csHR r ). The eventual mortality/release outcome is also analyzed by logistic regression to obtain odds-ratio (OR). We have the following three empirical observations: (1) The magnitude of OR is an upper limit of the csHR d : |log(OR)| ≥ |log(csHR d )|. This relationship between OR and HR might be understood from the definition of the two quantities; (2) csHR d and csHR r point in opposite directions: log(csHR d ) ⋅ log(csHR r ) < 0; This relation is a direct consequence of the nature of the two events; and (3) there is a tendency for a reciprocal relation between csHR d and csHR r : csHR d ∼ 1/csHR r . Though an approximate reciprocal trend between the two hazard ratios is in indication that the same factor causing faster death also lead to slow recovery by a similar mechanism, and vice versa, a quantitative relation between csHR d and csHR r in this context is not obvious. These results may help future analyses of data from COVID-19 or other similar diseases, in particular if the deceased patients are lacking, whereas surviving patients are abundant.
| Item Type: | Journal article | ||||||
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| Publication Title: | The International Journal of Biostatistics | ||||||
| Creators: | Li, W., Cetin, S., Ulgen, A., Cetin, M., Sivgin, H. and Yang, Y. | ||||||
| Publisher: | Walter de Gruyter GmbH | ||||||
| Date: | 3 April 2023 | ||||||
| ISSN: | 1557-4679 | ||||||
| Identifiers: |
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| Rights: | © 2023 Walter de Gruyter GmbH, Berlin/Boston. | ||||||
| Divisions: | Schools > School of Science and Technology | ||||||
| Record created by: | Linda Sullivan | ||||||
| Date Added: | 02 May 2023 12:56 | ||||||
| Last Modified: | 03 Apr 2024 03:00 | ||||||
| URI: | https://irep.ntu.ac.uk/id/eprint/48863 |
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