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Fixed effects, random effects and GEE: What are the differences?
Abstract
For analyses of longitudinal repeated‐measures data, statistical methods include the random effects model, fixed effects model and the method of generalized estimating equations. We examine the assumptions that underlie these approaches to assessing covariate effects on the mean of a continuous, dichotomous or count outcome. Access to statistical software to implement these models has led to widespread application in numerous disciplines. However, careful consideration should be paid to their critical assumptions to ascertain which model might be appropriate in a given setting. To illustrate similarities and differences that might exist in empirical results, we use a study that assessed depressive symptoms in low‐income pregnant women using a structured instrument with up to five assessments that spanned the pre‐natal and post‐natal periods. Understanding the conceptual differences between the methods is important in their proper application even though empirically they might not differ substantively. The choice of model in specific applications would depend on the relevant questions being addressed, which in turn informs the type of design and data collection that would be relevant. Copyright © 2008 John Wiley & Sons, Ltd.
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Citations
Cites
The CES-D Scale: A Self-Report Depression Scale for Research in the General Population
Radloff, L. S. (1977) · Applied Psychological Measurement · doi:10.1177/014662167700100306 · Cited by 53,267
A Global Measure of Perceived Stress
Cohen, S., Kamarck, T., & Mermelstein, R. (1983) · Journal of Health and Social Behavior · doi:10.2307/2136404 · Cited by 32,807
(2001) · RePEc: Research Papers in Economics · Cited by 27,577
(2005) · Statistics for Biology and Health · doi:10.1007/0-387-27255-0_9 · Cited by 20,133
Specification Tests in Econometrics
Hausman, J. A. (1978) · Econometrica · doi:10.2307/1913827 · Cited by 18,820
McCullagh, P., & Nelder, J. A. (1989) · doi:10.1007/978-1-4899-3242-6 · Cited by 16,836
Econometric Analysis of Panel Data
Baltagi, B. H. (2021) · Springer Texts in Business and Economics · doi:10.1007/978-3-030-53953-5 · Cited by 15,104
Testing Structural Equation Models.
Mueller, C. W., Bollen, K. A., & Long, J. S. (1994) · Contemporary Sociology · doi:10.2307/2074955 · Cited by 14,120
Data Analysis Using Regression and Multilevel/Hierarchical Models
Gelman, A., & Hill, J. (2006) · doi:10.1017/cbo9780511790942 · Cited by 13,597
Mixed-Effects Models in Sand S-PLUS
Pinheiro, J. C., & Bates, D. M. (2000) · Statistics and Computing · doi:10.1007/978-1-4419-0318-1 · Cited by 11,187
Mixed-Effects Models in S and S-PLUS
(2001) · Technometrics · doi:10.1198/tech.2001.s574 · Cited by 9,278
Microeconometrics: Methods and Applications
Cameron, A. C., & Trivedi, P. K. (2005) · doi:10.1017/cbo9780511811241 · Cited by 8,092
Hsiao, C. (2014) · doi:10.1017/cbo9781139839327 · Cited by 7,869
Hsiao, C. (2022) · doi:10.1017/9781009057745 · Cited by 7,869
(2001) · Statistics for Psychologists · doi:10.4324/9781410605542-11 · Cited by 6,877
Pearlin, L. I., Menaghan, E. G., Lieberman, M. A., & Mullan, J. T. (1981) · Journal of Health and Social Behavior · doi:10.2307/2136676 · Cited by 6,289 · cited 1×
“Perceived stress was measured with Cohen’s Perceived Stress 14-item scale and mastery with the Pearlin 7-item Sense of Mastery scale [33, 34].”
Method(1967) · Project Euclid (Cornell University) · Cited by 4,720
Fitzmaurice, G. M., Laird, N. M., & Ware, J. H. (2011) · Wiley Series in Probability and Statistics · doi:10.1002/9781119513469 · Cited by 4,639
Small sample inference for fixed effects from restricted maximum likelihood
Kenward, M. G., & Roger, J. H. (1997) · Biometrics · doi:10.2307/2533558 · Cited by 4,552 · cited 4×
“Kenward–Roger and Satterthwaite) to account for the downward bias in standard errors due to the estimation of parameters in G and Ri and improve the accuracy of the F-test [35, 36].”
BackgroundMethodInfluentialLinear Mixed Models for Longitudinal Data
Verbeke, G. (1997) · Lecture Notes in Statistics · doi:10.1007/978-1-4612-2294-1_3 · Cited by 3,506
Diggle, P. J., Heagerty, P. J., Liang, K.-Y., & Zeger, S. L. (2002) · doi:10.1093/oso/9780198524847.001.0001 · Cited by 3,384
Gill, J. (2005) · Encyclopedia of Social Measurement · doi:10.1016/b0-12-369398-5/00166-3 · Cited by 3,114
Generalized, Linear, and Mixed Models
McCulloch, C. E., & Searle, S. R. (2000) · Wiley Series in Probability and Statistics · doi:10.1002/0471722073 · Cited by 2,994
Linear Mixed Models for Longitudinal Data
Molenberghs, G., & Verbeke, G. (2000) · Springer Series in Statistics · doi:10.1007/978-1-4419-0300-6 · Cited by 2,646
Analysis of Covariance with Qualitative Data
Chamberlain, G. (1980) · The Review of Economic Studies · doi:10.2307/2297110 · Cited by 2,629
Best Linear Unbiased Estimation and Prediction under a Selection Model
Henderson, C. R. (1975) · Biometrics · doi:10.2307/2529430 · Cited by 2,497
Generalized Estimating Equations
Hardin, J. W., & Hilbe, J. M. (2002) · doi:10.1201/9781420035285 · Cited by 1,766
Applications of linear models in animal breeding
Henderson, C. R. (1984) · University of Guelph eBooks · Cited by 1,646
Analysis of Semiparametric Regression Models for Repeated Outcomes in the Presence of Missing Data
Robins, J. M., Rotnitzky, A., & Zhao, L. P. (1995) · Journal of the American Statistical Association · doi:10.1080/01621459.1995.10476493 · Cited by 1,595
Modeling the Drop-Out Mechanism in Repeated-Measures Studies
Little, R. J. A. (1995) · Journal of the American Statistical Association · doi:10.1080/01621459.1995.10476615 · Cited by 1,522
Generalized Latent Variable Modeling: Multilevel, Longitudinal, and Structural Equation Models
Skrondal, A., & Rabe‐Hesketh, S. (2004) · Thammasat University Digital Collections · Cited by 1,505
Generalized Latent Variable Modeling
Skrondal, A., & Rabe-Hesketh, S. (2004) · Chapman & Hall/CRC eBooks · doi:10.1201/9780203489437 · Cited by 1,484
Goulias, K. (2002) · New Directions in Civil Engineering · doi:10.1201/9781420042283.ch9 · Cited by 1,270
Applied Mixed Models in Medicine
Brown, H., & Presco, R. (2000) · Technometrics · doi:10.1080/00401706.2000.10485742 · Cited by 1,262
A generalized multivariate analysis of variance model useful especially for growth curve problems
POTTHOFF, R. F., & ROY, S. N. (1964) · Biometrika · doi:10.1093/biomet/51.3-4.313 · Cited by 1,068
Inverse probability weighted estimation for general missing data problems
Wooldridge, J. M. (2007) · Journal of Econometrics · doi:10.1016/j.jeconom.2007.02.002 · Cited by 1,029 · cited 2×
“Specific schemes are available in the econometrics literature that take into consideration the type of missing pattern, such as attrition in panel data models, which is a case of the monotone missingness pattern [2, 27].”
BackgroundEconometric Analysis of Count Data
Winkelmann, R. (2003) · doi:10.1007/978-3-540-24728-9 · Cited by 945
Mixed-Effects Models in S and S-PLUS
(2000) · Statistics and Computing · doi:10.1007/b98882 · Cited by 930
Distribution-free estimation of some nonlinear panel data models
Wooldridge, J. M. (1999) · Journal of Econometrics · doi:10.1016/s0304-4076(98)00033-5 · Cited by 858
Longitudinal and Panel Data: Analysis and Applications in the Social Sciences
Frees, E. W. (2004) · Cambridge University Press eBooks · doi:10.1017/cbo9780511790928 · Cited by 839
Ployhart, R. E. (2014) · Wiley StatsRef: Statistics Reference Online · doi:10.1002/9781118445112.stat06437 · Cited by 801
Longford, N. T. (2011) · International Encyclopedia of Statistical Science · doi:10.1007/978-3-642-04898-2_471 · Cited by 745
ECONOMETRIC ANALYSIS OF QUALITATIVE RESPONSE MODELSPreprint
McFadden, D. L. (1984) · RePEc: Research Papers in Economics · Cited by 744
Estimation, Inference and Specification Analysis
White, H. (1994) · Cambridge University Press eBooks · doi:10.1017/ccol0521252806 · Cited by 738
Rabe-Hesketh, S., Skrondal, A., & Pickles, A. (2005) · Journal of Econometrics · doi:10.1016/j.jeconom.2004.08.017 · Cited by 723
Conditional Akaike information for mixed-effects models
Vaida, F., & Blanchard, S. (2005) · Biometrika · doi:10.1093/biomet/92.2.351 · Cited by 585
Applied Mixed Models in Medicine
Brown, H., & Prescott, R. (2006) · Wiley eBooks · doi:10.1002/0470023589 · Cited by 560
Estimation, Inference and Specification Analysis.
Smith, R. J., & White, H. (1996) · Economica · doi:10.2307/2555022 · Cited by 512
Linear and Generalized Linear Mixed Models and Their Applications
(2007) · Springer Series in Statistics · doi:10.1007/978-0-387-47946-0 · Cited by 477
QIC Program and Model Selection in GEE Analyses
Cui, J. (2007) · The Stata Journal: Promoting communications on statistics and Stata · doi:10.1177/1536867x0700700205 · Cited by 467
Applied Mixed Models in Medicine
Ziegel, E. R., Brown, H., & Prescott, R. (2000) · Technometrics · doi:10.2307/1270978 · Cited by 447
Chapter 24 Econometric analysis of qualitative response models
McFadden, D. L. (1984) · Handbook of Econometrics · doi:10.1016/s1573-4412(84)02016-x · Cited by 415
Longford, N. T. (1994) · doi:10.1093/oso/9780198522645.001.0001 · Cited by 391
Rank-Based Estimation and Associated Inferences for Linear Models With Cluster Correlated Errors
Kloke, J. D., McKean, J. W., & Rashid, M. M. (2009) · Journal of the American Statistical Association · doi:10.1198/jasa.2009.0116 · Cited by 357
Hrong-Tai Fai, A., & Cornelius, P. L. (1996) · Journal of Statistical Computation and Simulation · doi:10.1080/00949659608811740 · Cited by 260
Selection of Working Correlation Structure and Best Model in GEE Analyses of Longitudinal Data
Cui, J., & Qian, G. (2007) · Communications in Statistics - Simulation and Computation · doi:10.1080/03610910701539617 · Cited by 162
Multilevel Statistical Models, 3rd edn
Ravi, S. (2004) · Journal of the Royal Statistical Society Series A (Statistics in Society) · doi:10.1111/j.1467-985x.2004.00347_5.x · Cited by 153
Model Selection in Estimating Equations
Pan, W. (2001) · Biometrics · doi:10.1111/j.0006-341x.2001.00529.x · Cited by 91
Improved Generalized Estimating Equation Analysis via xtqls for Quasi–Least Squares in Stata
Shults, J., Ratcliffe, S. J., & Leonard, M. B. (2007) · The Stata Journal Promoting communications on statistics and Stata · doi:10.1177/1536867x0700700201 · Cited by 53
Roman, L. A., Lindsay, J. K., Moore, J. S., Duthie, P., Peck, C., Barton, L. R., Gebben, M. R., & Baer, L. J. (2007) · Public Health Nursing · doi:10.1111/j.1525-1446.2007.00630.x · Cited by 42
Self-citationLongitudinal analysis of censored medical cost data
Başer, O., Gardiner, J. C., Bradley, C. J., Yüce, H., & Given, C. W. (2006) · Health Economics · doi:10.1002/hec.1087 · Cited by 41
Self-citationMEANINGFUL STATISTICAL MODEL FORMULATIONS FOR REPEATED MEASURES
Molenberghs, G., & Verbeke, G. N. (2004) · Lirias (KU Leuven) · Cited by 30
Some Specification Tests for the Linear Regression Model
Long, J. S., & Trivedi, P. K. (1992) · Sociological Methods & Research · doi:10.1177/0049124192021002003 · Cited by 24
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Veroniki, A. A., Jackson, D., Viechtbauer, W., Bender, R., Bowden, J., Knapp, G., Kuss, O., Higgins, J. P., Langan, D., & Salanti, G. (2016) · Research Synthesis Methods · doi:10.1002/jrsm.1164 · Cited by 1,685
Hubbard (2010) · doi:10.1097/ede.0b013e3181caeb90 · Cited by 1,139
The Effect of Small Sample Size on Two-Level Model Estimates: A Review and Illustration
McNeish, D. M., & Stapleton, L. M. (2016) · Educational Psychology Review · doi:10.1007/s10648-014-9287-x · Cited by 715
Social Participation and Depression in Old Age: A Fixed-Effects Analysis in 10 European Countries
Croezen, S., Avendano, M., Burdorf, A., & van Lenthe, F. J. (2015) · American Journal of Epidemiology · doi:10.1093/aje/kwv015 · Cited by 305
McNeish, D. M., & Harring, J. R. (2017) · Communications in Statistics - Simulation and Computation · doi:10.1080/03610918.2014.983648 · Cited by 90
Metadata
- Authors
- Gardiner, J. C., Luo, Z., & Roman, L. A.
- Venue
- Statistics in Medicine
- Publisher
- Wiley
- Published
- 2008-11-14
- Volume
- 28
- Issue
- 2
- Pages
- 221-239
- ISSN
- 0277-6715 (ISSN-L)
- 1097-0258
- OpenAlex
- W2003750542
- Cited by
- 434
- References
- 63
- FWCI
- 7.14
- Type
- journal article
- Language
- en
- Open access
- closed
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