Relation of pooled logistic regression to time dependent cox regression analysis: The framingham heart study
Abstract
A standard analysis of the Framingham Heart Study data is a generalized person‐years approach in which risk factors or covariates are measured every two years with a follow‐up between these measurement times to observe the occurrence of events such as cardiovascular disease. Observations over multiple intervals are pooled into a single sample and a logistic regression is employed to relate the risk factors to the occurrence of the event. We show that this pooled logistic regression is close to the time dependent covariate Cox regression analysis. Numerical examples covering a variety of sample sizes and proportions of events display the closeness of this relationship in situations typical of the Framingham Study. A proof of the relationship and the necessary conditions are given in the Appendix.
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Odds ratios from case-control studies and hazard ratios from cohort studies were combined because they closely approximate each other.
“Odds ratios from case–control studies and hazard ratios from cohort studies were combined because they closely approximate each other, with sensitivity analyses performed by study design to assess for heterogeneity [23, 24].”
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- Authors
- D'Agostino, R. B., Lee, M., Belanger, A. J., Cupples, L. A., Anderson, K., & Kannel, W. B.
- Affiliations
- Boston University (US)
- National Heart, Lung, and Blood Institute (US)
- Venue
- Statistics in Medicine
- Publisher
- Wiley
- Published
- 1990-12
- Volume
- 9
- Issue
- 12
- Pages
- 1501-1515
- ISSN
- 0277-6715 (ISSN-L)
- 1097-0258
- OpenAlex
- W2113375444
- Cited by
- 798
- References
- 14
- Citations by year
- 2026: 20 · 2025: 27 · 2024: 24 · 2023: 17 · 2022: 28 · 2021: 25 · 2020: 26 · 2019: 25 · 2018: 28 · 2017: 19 · 2016: 19 · 2015: 28 · 2014: 32 · 2013: 30 · 2012: 32
- FWCI
- 4.21
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Statistics in Medicine (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Institutes of Health (5r01hl040423-06)
- National Heart, Lung, and Blood Institute (1-R01-HL-40423-02)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Keywords
- time-dependent Cox regression, Framingham Heart Study, risk factors, cardiovascular disease, event occurrence, interval data, regression model comparison
- MeSH terms
- Adult, Aged, Coronary Disease, Humans, Male, Massachusetts, Middle Aged, Regression Analysis, Risk Factors, Time Factors, Meta-Analysis as Topic, Likelihood Functions, Logistic Models
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