A comparison of two bias-corrected covariance estimators for generalized estimating equations
Abstract
Mancl and DeRouen (2001, Biometrics57, 126-134) and Kauermann and Carroll (2001, JASA96, 1387-1398) proposed alternative bias-corrected covariance estimators for generalized estimating equations parameter estimates of regression models for marginal means. The finite sample properties of these estimators are compared to those of the uncorrected sandwich estimator that underestimates variances in small samples. Although the formula of Mancl and DeRouen generally overestimates variances, it often leads to coverage of 95% confidence intervals near the nominal level even in some situations with as few as 10 clusters. An explanation for these seemingly contradictory results is that the tendency to undercoverage resulting from the substantial variability of sandwich estimators counteracts the impact of overcorrecting the bias. However, these positive results do not generally hold; for small cluster sizes (e.g., <10) their estimator often results in overcoverage, and the bias-corrected covariance estimator of Kauermann and Carroll may be preferred. The methods are illustrated using data from a nested cross-sectional cluster intervention trial on reducing underage drinking.
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GEE models adjust for dependency of repeated measures within one participant and can handle non-normally distributed data and missing data.
“We chose GEE models because EMA data have a hierarchical structure; this type of model adjusts for dependency of repeated measures within one participant and can handle non-normally distributed data. GEE models are also suitable for dealing with missing data; it is not required to exclude participants with missing questionnaires, nor should missing questionnaires be imputed beforehand.”
From Experienced burden of and adherence to smartphone-based ecological momentary assessment in persons with affective disorders (2020) · cites this paper as [28]
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- Authors
- Lu, B., Preisser, J. S., Qaqish, B. F., Suchindran, C., Bangdiwala, S. I., & Wolfson, M.
- Affiliations
- University of North Carolina at Chapel Hill (US)
- Wake Forest University Health Sciences (US)
- Corresponding author
- Preisser, John S.
- Venue
- Biometrics
- Publisher
- Oxford University Press (OUP)
- Published
- 2007-03-02
- Volume
- 63
- Issue
- 3
- Pages
- 935-941
- ISSN
- 0006-341X (ISSN-L)
- 1541-0420
- OpenAlex
- W2080074665
- Cited by
- 118
- References
- 18
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 4 · 2023: 8 · 2022: 12 · 2021: 10 · 2020: 8 · 2019: 12 · 2018: 8 · 2017: 9 · 2016: 10 · 2015: 2 · 2014: 8 · 2013: 4 · 2012: 6
- FWCI
- 3.77
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biometrics (publishedVersion)
- PubMed (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Keywords
- generalized estimating equations, sandwich estimator, variance estimation, confidence interval coverage, small sample properties
- MeSH terms
- Algorithms, Biometry, Clinical Trials as Topic, Data Interpretation, Statistical, Regression Analysis, Sensitivity and Specificity, Reproducibility of Results, Bias, Cluster Analysis
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