The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Small‐sample adjustments in using the sandwich variance estimator in generalized estimating equations
Abstract
The generalized estimating equation (GEE) approach is widely used in regression analyses with correlated response data. Under mild conditions, the resulting regression coefficient estimator is consistent and asymptotically normal with its variance being consistently estimated by the so‐called sandwich estimator. Statistical inference is thus accomplished by using the asymptotic Wald chi‐squared test. However, it has been noted in the literature that for small samples the sandwich estimator may not perform well and may lead to much inflated type I errors for the Wald chi‐squared test. Here we propose using an approximate t‐ or F‐test that takes account of the variability of the sandwich estimator. The level of type I error of the proposed t‐ or F‐test is guaranteed to be no larger than that of the Wald chi‐squared test. The satisfactory performance of the proposed new tests is confirmed in a simulation study. Our proposal also has some advantages when compared with other new approaches based on direct modifications of the sandwich estimator, including the one that corrects the downward bias of the sandwich estimator. In addition to hypothesis testing, our result has a clear implication on constructing Wald‐type confidence intervals or regions. Copyright © 2002 John Wiley & Sons, Ltd.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Additionally, Pan and Wall (2002) described an F-test for use in GEE models, which uses the Wishart approximation to the distribution of V CR 0 but estimates the degrees of freedom using a different method than the one we describe below.”
From Small-Sample Methods for Cluster-Robust Variance Estimation and Hypothesis Testing in Fixed Effects Models (2018) · cites this paper as Pan and Wall (2002)
Citations
Cites
Cox, D. R., & Hinkley, D. V. (1974) · doi:10.1007/978-1-4899-2887-0 · Cited by 3,089
Research works printed but not linked: 20
- 10.1093/biomet/73.1.13 · DOI · Paper page
- 10.2307/2531733 · DOI · Paper page
- 10.1214/ss/1177010900 · DOI
- 10.1080/00949659208811388 · DOI
- 10.1080/03610919508813280 · DOI
- 10.2307/2534007 · DOI
- 10.1111/j.0006-341X.2001.00126.x · DOI · Paper page
- 10.1093/biomet/88.3.901 · DOI
- 10.1007/BF02288586 · DOI · Paper page
- 10.2307/2531734 · DOI · Paper page
- 10.1007/978-1-4612-0795-5 · DOI · Paper page
- 10.1093/biomet/77.3.485 · DOI · Paper page
- 10.2307/2532240 · DOI · Paper page
- Vonesh EF, 1997, Linear and Nonlinear Models for the Analysis of Repeated Measurements
- 10.2307/2683985 · doi:10.2307/2683985
- Fleiss J, 1986, The Design and Analysis of Clinical Experiments
- Cochran WG, 1957, Experimental Designs
- 10.1016/0197-2456(93)90021-5 · DOI
- 10.2307/2288715 · DOI
- 10.2307/2530872 · DOI
Cited by
Bootstrap-Based Improvements for Inference With Clustered Errors
Cameron, A. C., Gelbach, J. B., & Miller, D. L. (2008) · Review of Economics and Statistics · doi:10.1162/rest.90.3.414 · Cited by 4,417
Statistical Analysis of Correlated Data Using Generalized Estimating Equations: An Orientation
Hanley, J. A. (2003) · American Journal of Epidemiology · doi:10.1093/aje/kwf215 · Cited by 2,185
Design and analysis of group-randomized trials: a review of recent methodological developments
Murray, D. M., Varnell, S. P., & Blitstein, J. L. (2004) · American Journal of Public Health · doi:10.2105/ajph.94.3.423 · Cited by 677
Pustejovsky, J. E., & Tipton, E. (2018) · Journal of Business & Economic Statistics · doi:10.1080/07350015.2016.1247004 · Cited by 492
Tipton, E., & Pustejovsky, J. E. (2015) · Journal of Educational and Behavioral Statistics · doi:10.3102/1076998615606099 · Cited by 362
Review of recent methodological developments in group-randomized trials: part 2—analysis
Turner, E. L., Prague, M., Gallis, J. A., Li, F., & Murray, D. M. (2017) · American Journal of Public Health · doi:10.2105/ajph.2017.303707 · Cited by 195
Kahan, B. C., Forbes, G., Ali, Y., Jairath, V., Bremner, S., Harhay, M. O., Hooper, R., Wright, N., Eldridge, S. M., & Leyrat, C. (2016) · Trials · doi:10.1186/s13063-016-1571-2 · Cited by 185
A comparison of two bias-corrected covariance estimators for generalized estimating equations
Lu, B., Preisser, J. S., Qaqish, B. F., Suchindran, C., Bangdiwala, S. I., & Wolfson, M. (2007) · Biometrics · doi:10.1111/j.1541-0420.2007.00764.x · Cited by 118
McNeish, D. M., & Harring, J. R. (2017) · Communications in Statistics - Simulation and Computation · doi:10.1080/03610918.2014.983648 · Cited by 90
Rokicki, S., Cohen, J., Fink, G., Salomon, J. A., & Landrum, M. B. (2018) · Medical Care · doi:10.1097/mlr.0000000000000830 · Cited by 53
Burgio, K. L., Williams, B. R., Dionne-Odom, J. N., Redden, D. T., Noh, H., Goode, P. S., Kvale, E., Bakitas, M., & Bailey, F. A. (2016) · Journal of Palliative Medicine · doi:10.1089/jpm.2015.0311 · Cited by 41
Kwesiga, M. P., Gillette, A. A., Razaviamri, F., Plank, M. E., Canull, A. L., Alesch, Z., He, W., Lee, B. P., & Guillory, R. J. (2023) · Bioactive Materials · doi:10.1016/j.bioactmat.2022.10.017 · Cited by 25
Metadata
- Authors
- Pan, W., & Wall, M. M.
- Venue
- Statistics in Medicine
- Publisher
- Wiley
- Published
- 2002-04-26
- Volume
- 21
- Issue
- 10
- Pages
- 1429-1441
- ISSN
- 0277-6715
- 1097-0258
- Cited by
- 150
- References
- 1
- Language
- en
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 ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.