153
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Outlier detection and accommodation in meta-regression models

, , &
Pages 1728-1744 | Received 19 Mar 2019, Accepted 31 Jul 2019, Published online: 12 Aug 2019

References

  • Baker, R., and D. Jackson. 2015. new models for describing outliers in meta-analysis. Research Synthesis Methods 7 (3):314–28. doi: 10.1002/jrsm.1191.
  • Beckman, R. J., R. D. Cook. 1983. Outlier……. s. Technometrics. 25 (2):119–49. doi: 10.2307/1268541.
  • Barnett, V., and T. Lewis. 1994. Outliers in statistical data. New York: John Wiley.
  • Beath, K. 2014. A finite mixture method for outlier detection and robustness in meta-analysis. Research Synthesis Methods 5 (4):285–93. doi: 10.1002/jrsm.1114.
  • Cook, R. D., and S. Weisberg. 1982. Residuals and influence in regression. New York: Chapman and Hall.
  • Colditz, G. A., T. Brewer, C. Berkey, M. E. Wilson, E. Burdick, H. Fineberg, and F. Mosteller. 1994. Efficacy of BCG vaccine in the prevention of tuberculosis: Meta-analysis of the published literature. Jama 271 (9):698–702. doi: 10.1001/jama.1994.03510330076038.
  • DerSimonian, R., and N. Laird. 1986. Meta-analysis in clinical trials. Controlled Clinical Trials 7 (3):177–88. doi: 10.1016/0197-2456(86)90046-2.
  • DerSimonian, R., and R. Kacker. 2007. Random-effects model for meta-analysis of clinical trials: An update. Contemporary Clinical Trials 28 (2):105–14. doi: 10.1016/j.cct.2006.04.004.
  • Dai, X. W., L. B. Jin, A. Q. Shi, and L. Shi. 2016. Outlier detection and accommodation in general spatial models. Statistical Methods & Applications 25 (3):453–75. doi: 10.1007/s10260-015-0348-1.
  • Gumedze, F. N., and D. Jackson. 2011. A random effects variance shift model for detecting and accommodating outliers in meta-analysis. BMC Medical Research Methodology 11 (1):11–9. doi: 10.1186/1471-2288-11-19.
  • Ginsberg, A. M. 1998. The tuberculosis epidemic. Scientitic challenges and opportunities. Public Health Reports 113, 128.**
  • Hardy, R. J., and S. Thompson. 1996. A likelihood approach to meta-analysis with random effects. Statistics in Medicine 15 (6):619–29. doi: 10.1002/(SICI)1097-0258(19960330)15:6<619::AID-SIM188>3.0.CO;2-A.
  • Haslett, J., and K. Hayes. 1998. Residuals for the linear model with general covariance structure. Journal of the Royal Statistical Society: Series B (Statistical Methodology) 60 (1):201–15. doi: 10.1111/1467-9868.00119.
  • Jin, L. B., X. W. Dai, A. Q. Shi, and L. Shi. 2016. Detection of outliers in mixed regressive-spatial autoregressive models. Communications in Statistics - Theory and Methods 17:5179–92. doi: 10.1080/03610926.2014.941493.
  • Jackson, D., J. Bowden, and R. Baker. 2010. How does the Dersimonian and Laird procedure for random effects meta-analysis compare with its more efficient but harder to compute counterparts? Journal of Statistical Planning and Inference 140 (4):961–70. doi: 10.1016/j.jspi.2009.09.017.
  • Jackson, D., R. Turner, K. Rhodes, and W. Viechtbauer. 2014. Methods for calculating confidence and credible intervals for the residual between-study variance in random effects meta-regression models. BMC Medical Research Methodology 14:103. doi: 10.1186/1471-2288-14-103.
  • Mavridis, D., I. Moustaki, M. Walld, and G. Salantia. 2016. Detecting outlying studies in meta-regression models using a forward search algorithm. Research Synthesis Methods 6:199–211. doi: 10.1002/jrsm.1197.
  • Pregibon, D. 1981. Logistic regression diagnostics. Annals of statistics 9:705–24.
  • Sidik, K., and J. N. Jonkman. 2007. A comparison of heterogeneity variance estimators in combining results of studies. Statistics in Medicine 26 (9):1964–81. doi: 10.1002/sim.2688.
  • Shi, L. 2008. Multilevel model and its statistical diagnosis. Science Press: Beijing.
  • Shi, L., and G. Chen. 2008. Detection of outliers in multilevel models. Journal of Statistical Planning and Inference 138 (10):3189–99. doi: 10.1016/j.jspi.2008.01.004.
  • Shi, L., and G. Chen. 2009. Influence measures for general linear models with correlated errors. The American Statistician 63 (1):40–2. doi: 10.1198/tast.2009.0008.
  • Shi, L., and G. Chen. 2012. Deletion, replacement and mean-shift for diagnostics in linear mixed models. Computational Statistics & Data Analysis 56 (1):202–8. doi: 10.1016/j.csda.2011.07.002.
  • Shi, L., J. Lu, J. H. Zhao, and G. Chen. 2016. Case deletion diagnostics for GMM estimation. Computational Statistics & Data Analysis 95:176–91. doi: 10.1016/j.csda.2015.10.003.
  • Shi, L., S. S. Zuo, D. L. Yu, and X. H. Zhou. 2017. Influence diagnostics in meta-regression model. Research Synthesis Methods 8 (3):343–54. doi: 10.1002/jrsm.1247.
  • van Houwelingen, H. C., L. R. Arends, and T. Stijnen. 2002. Advanced methods in meta-analysis: Multivariate approach and meta-regression. Statistics in Medicine 21 (4):589–624. doi: 10.1002/sim.1040.
  • Viechtbauer, W., and W. L. Cheung. 2010. Outlier and influence diagnostics for meta analysis. Research Synthesis Methods 1 (2):112–25. doi: 10.1002/jrsm.11.
  • Veroniki, A. A., D. Jackson, W. Viechtbauer, R. Bender, J. Bowden, G. Knapp, O. Kuss, J. Higgins, D. Langan, and G. Salanti. 2016. Methods to estimate the between-study variance and its uncertainty in meta-analysis. Research Synthesis Methods 7 (1):55–79. doi: 10.1002/jrsm.1164.
  • Wang, R. W., D. W. Dunn, J. Luo, J. Z. He, and L. Shi. 2015. The importance of spatial heterogeneity and self-restraint on mutualism stability - a quantitative review. Scientific Reports 5 (1):14826. doi: 10.1038/srep14826.
  • Yu, D. L., C. Ding, N. He, R. W. Wang, X. H. Zhou, and L. Shi. 2018. Robust estimation and confidence interval in meta-regression models. Computational Statistics & Data Analysis 129:93–118. doi: 10.1016/j.csda.2018.08.010.
  • Zhang, X., and M. L. King. 2005. Influence diagnostic in generalized autoregressive conditional heteroscedasticity process. Journal of Business and Economic Statistics 23 (1):118–29. doi: 10.1198/073500104000000217.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.