Bias in methods for deriving standardized morbidity ratio and attributable fraction estimates.
Abstract
This paper examines several methods for deriving standardized morbidity ratios (SMR) and attributable fraction (attributable risk percentage) estimates. We show that some of the proposed methods will, in general, produce biased estimators, although the low variance of certain estimators sometimes compensates for their bias. A few methods are based on statistical fallacies and should be avoided, especially the method of deriving the expected number of cases from a regression equation that does not include the exposure under study.
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If there is correlation between exposure and disease-specific mortality due to correlations with other risks or unobserved factors, the equations may under- or over-estimate the true population-attributable fraction when used with adjusted relative risks.
“However, if there is also a correlation between exposure and disease-specific mortality, due to correlations of exposure with other risks or other unobserved factors, the above equations may result in under- (when there is positive correlation) or over-estimation (negative correlation) of the true PAF when used with adjusted RRs [32]–[36].”
From The Preventable Causes of Death in the United States: Comparative Risk Assessment of Dietary, Lifestyle, and Metabolic Risk Factors (2009) · cites this paper as [32]
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- Authors
- Greenland, S.
- Affiliations
- University of California, Los Angeles (US)
- Corresponding author
- Greenland, Sander
- ORCID
- Greenland, Sander
- Venue
- Statistics in Medicine
- Publisher
- Wiley
- Published
- 1984-04
- Volume
- 3
- Issue
- 2
- Pages
- 131-141
- ISSN
- 0277-6715 (ISSN-L)
- 1097-0258
- OpenAlex
- W2139867978
- Cited by
- 99
- References
- 22
- Citations by year
- 2026: 2 · 2025: 2 · 2024: 1 · 2023: 2 · 2022: 1 · 2021: 2 · 2020: 3 · 2019: 3 · 2018: 2 · 2017: 4 · 2014: 3 · 2013: 3 · 2012: 3
- FWCI
- 1.81
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Statistics in Medicine (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Cancer Institute
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Health Sciences › Medicine › Oncology › Global Cancer Incidence and Screening
- Keywords
- standardized morbidity ratio, attributable fraction, estimation bias, estimator variance, statistical fallacies
- MeSH terms
- Biometry, Humans, Morbidity, Probability, Risk
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