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Interpreting Parameters in the Logistic Regression Model with Random Effects

Larsen, Klaus, Petersen, Jørgen Holm, Budtz‐Jørgensen, Esben, Endahl, Lars·2000·Biometrics

Abstract

Summary.Logistic regression with random effects is used to study the relationship between explanatory variables and a binary outcome in cases with nonindependent outcomes. In this paper, we examine in detail the interpretation of both fixed effects and random effects parameters. As heterogeneity measures, the random effects parameters included in the model are not easily interpreted. We discuss different alternative measures of heterogeneity and suggest using a median odds ratio measure that is a function of the original random effects parameters. The measure allows a simple interpretation, in terms of well‐known odds ratios, that greatly facilitates communication between the data analyst and the subject‐matter researcher. Three examples from different subject areas, mainly taken from our own experience, serve to motivate and illustrate different aspects of parameter interpretation in these models.

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Research works printed but not linked: 3

  1. Andersen J.(1998).Copenhagen out of hours service—Activity and quality. Ph.D. dissertation University of Copenhagen Copenhagen Denmark .
  2. 10.2307/2290687 · DOI
  3. SAS Institute, 1996, SAS/STAT Software: Changes and Enhancements through Release 6.11

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Metadata

Authors
Larsen, K., Petersen, J. H., Budtz‐Jørgensen, E., & Endahl, L.
Venue
Biometrics
Published
2000-09
Volume
56
Issue
3
Pages
909-914
ISSN
  • 0006-341X (ISSN-L)
  • 1541-0420
OpenAlex
W2149206332
Cited by
473
References
17
FWCI
3.75
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Interpreting Parameters in the Logistic Regression Model with Random Effects. https://app.cochat.ai/papers/10.1111/j.0006-341x.2000.00909.x
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Larsen, K., Petersen, J. H., Budtz‐Jørgensen, E., & Endahl, L. (2000). Interpreting Parameters in the Logistic Regression Model with Random Effects. Biometrics. https://doi.org/10.1111/j.0006-341x.2000.00909.x

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