Interpreting and Understanding Logits, Probits, and Other Nonlinear Probability Models
Abstract
Methods textbooks in sociology and other social sciences routinely recommend the use of the logit or probit model when an outcome variable is binary, an ordered logit or ordered probit when it is ordinal, and a multinomial logit when it has more than two categories. But these methodological guidelines take little or no account of a body of work that, over the past 30 years, has pointed to problematic aspects of these nonlinear probability models and, particularly, to difficulties in interpreting their parameters. In this review, we draw on that literature to explain the problems, show how they manifest themselves in research, discuss the strengths and weaknesses of alternatives that have been suggested, and point to lines of further analysis.
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“In contrast to odds ratios, risk ratios are not affected by controlling for orthogonal confounders (Greenland et al. 1999).”
BackgroundTotal, Direct, and Indirect Effects in Logit and Probit Models
Breen, R., Karlson, K. B., & Holm, A. (2013) · Sociological Methods & Research · doi:10.1177/0049124113494572 · Cited by 818 · see citing works
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A Note on a Reformulation of the KHB Method
Breen, R., Bernt Karlson, K., & Holm, A. (2021) · Sociological Methods & Research · doi:10.1177/0049124118789717 · Cited by 110 · see citing works
Self-citationDesai, S., Deshmukh, N., & Pramanik, S. (2021) · Feminist Economics · doi:10.1080/13545701.2021.1876903 · Cited by 57 · see citing works
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- Authors
- Breen, R., Karlson, K. B., & Holm, A.
- Affiliations
- University of Oxford (GB)
- University of Copenhagen (DK)
- Western University (CA)
- Venue
- Annual Review of Sociology
- Publisher
- Annual Reviews
- Published
- 2018-07-30
- Volume
- 44
- Issue
- 1
- Pages
- 39-54
- ISSN
- 0360-0572 (ISSN-L)
- 1545-2115
- OpenAlex
- W2801195482
- Cited by
- 468
- References
- 4
- Citations by year
- 2026: 45 · 2025: 69 · 2024: 69 · 2023: 67 · 2022: 67 · 2021: 76 · 2020: 54 · 2019: 18 · 2018: 3
- FWCI
- 5.19
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Annual Review of Sociology (publishedVersion)
- Research at the University of Copenhagen (University of Copenhagen) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Keywords
- logit model, probit model, parameter interpretation, binary response models, multinomial logistic regression, model misspecification, alternative models
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