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Logistic Regression: A Brief Primer
Abstract
Academic Emergency Medicine 2011; 18:1099–1104 © 2011 by the Society for Academic Emergency Medicine Regression techniques are versatile in their application to medical research because they can measure associations, predict outcomes, and control for confounding variable effects. As one such technique, logistic regression is an efficient and powerful way to analyze the effect of a group of independent variables on a binary outcome by quantifying each independent variable’s unique contribution. Using components of linear regression reflected in the logit scale, logistic regression iteratively identifies the strongest linear combination of variables with the greatest probability of detecting the observed outcome. Important considerations when conducting logistic regression include selecting independent variables, ensuring that relevant assumptions are met, and choosing an appropriate model building strategy. For independent variable selection, one should be guided by such factors as accepted theory, previous empirical investigations, clinical considerations, and univariate statistical analyses, with acknowledgement of potential confounding variables that should be accounted for. Basic assumptions that must be met for logistic regression include independence of errors, linearity in the logit for continuous variables, absence of multicollinearity, and lack of strongly influential outliers. Additionally, there should be an adequate number of events per independent variable to avoid an overfit model, with commonly recommended minimum “rules of thumb” ranging from 10 to 20 events per covariate. Regarding model building strategies, the three general types are direct/standard, sequential/hierarchical, and stepwise/statistical, with each having a different emphasis and purpose. Before reaching definitive conclusions from the results of any of these methods, one should formally quantify the model’s internal validity (i.e., replicability within the same data set) and external validity (i.e., generalizability beyond the current sample). The resulting logistic regression model’s overall fit to the sample data is assessed using various goodness‐of‐fit measures, with better fit characterized by a smaller difference between observed and model‐predicted values. Use of diagnostic statistics is also recommended to further assess the adequacy of the model. Finally, results for independent variables are typically reported as odds ratios (ORs) with 95% confidence intervals (CIs).
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“Final model diagnostics included checking for independence of errors, absence of multicollinearity, and lack of strongly influential outliers [53, 55, 56].”
From An enhanced individual placement and support (iPS) intervention based on the model of human occupation (MOHO); a prospective cohort study (2020) · cites this paper as [53]
In the citing paper
“In general, models with fewer variables are simpler; and without evidence of a significant difference, the simpler model is preferred [53, 54].”
From An enhanced individual placement and support (iPS) intervention based on the model of human occupation (MOHO); a prospective cohort study (2020) · cites this paper as [53]
In the citing paper
“It is recommended that variable selection should be guided by well-established theory, clinical observations, and preliminary analysis [53].”
From An enhanced individual placement and support (iPS) intervention based on the model of human occupation (MOHO); a prospective cohort study (2020) · cites this paper as [53]
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Metadata
- Authors
- Stoltzfus, J. C.
- Affiliations
- St. Luke's University Health Network (US)
- Corresponding author
- Stoltzfus, Jill C.
- Venue
- Academic Emergency Medicine
- Publisher
- Wiley
- Published
- 2011-10
- Volume
- 18
- Issue
- 10
- Pages
- 1099-1104
- ISSN
- 1069-6563 (ISSN-L)
- 1553-2712
- OpenAlex
- W1723129825
- Cited by
- 1,290
- References
- 24
- Citations by year
- 2026: 128 · 2025: 231 · 2024: 256 · 2023: 182 · 2022: 149 · 2021: 114 · 2020: 58 · 2019: 50 · 2018: 27 · 2017: 26 · 2016: 29 · 2015: 18 · 2014: 13 · 2013: 6 · 2012: 3
- FWCI
- 6.17
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Academic Emergency Medicine (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Keywords
- logistic regression, binary outcomes, confounding, feature selection, multicollinearity, model building strategy, goodness of fit, diagnostic statistics, odds ratio, internal and external validity
- MeSH terms
- Emergency Medicine, Humans, Research Design, Models, Statistical, Logistic Models, Biomedical Research
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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