An overdispersion model in meta-analysis

Statistical Modelling

Volumn 14, Issue 1, 2014, Pages 49-76

  Kulinskaya, Elena ^a   Olkin, Ingram ^b  

^a UNIVERSITY OF EAST ANGLIA   (United Kingdom)

^b STANFORD UNIVERSITY   (United States)

Author keywords

between study variability; heterogeneity; Intra class correlation; random effects model

Indexed keywords

EID: 84893525733     PISSN: 1471082X     EISSN: 14770342     Source Type: Journal    
DOI: 10.1177/1471082X13494616     Document Type: Article

References (31)

1. Anderson DA.Some models for overdispersed binomial data.Australian Journal of Statistics. 1988;30:125-48.
2. Biggerstaff B,Jackson D.The exact distribution of Cochrans' heterogeneity statistic in one-way random effects meta-analysis.Statistics in Medicine. 2008;27:6093-110.
3. Biggerstaff B,Tweedie R.Incorporating variability in estimates of heterogeneity in the random effects model in meta-analysis.Statistics in Medicine. 1997;16:753-68.
4. Bliss CI.Fitting the negative binomial distribution to biological data.Biometrics. 1953;9:176-96.
5. Collins R,Yusuf S,Peto R.Overview of randomised trials of diuretics in pregnancy.British Medical Journal. 1985;291:97-104.
6. Cox D.Some remarks on overdispersion.Biometrika. 1983;70:269-74.
7. Crowley P,Chalmers I,Keirse M.The effects of corticosteroid administration before preterm delivery: an overview of the evidence from controlled trials.Br J Obstet Gynaecol. 1990;97:11-25.
8. DerSimonian R,Kacker R.Random-effects model for meta-analysis of clinical trials: an update.Contemporary Clinical Trials. 2007;28:105-14.
9. DerSimonian R,Laird N.Meta-analysis in clinical trials.Controlled Clinical Trials. 1986;7:177-88.
10. Hardy R,Thompson S.A likelihood approach to meta-analysis.Statistics in Medicine. 1996;15:619-29.
11. Hedges L,Olkin IStatistical methods for meta-analysis. Orlando: Academic Press; 1985:.
12. Hinde J,Demétrio CGB.Overdispersion: models and estimation.Computational Statistics & Data Analysis. 1998;27:151-70.
13. Kim CEncyclopedia of Statistical Sciences. New York: John Wiley & Sons; 2006:.
14. Kulinskaya E,Dollinger M,Bjørkestøl K.Testing for homogeneity in meta-analysis I. The one parameter case: Standardized mean difference.Biometrics. 2011;67:203-12.
15. Lee K,Thompson S.Flexible parametric models for random-effects distributions.Statistics in Medicine. 2008;27:418-34.
16. Li Y,Shi L,Roth H.The bias of the commonly-used estimate of variance in meta-analysis.Communications in Statistics - Theory and Methods. 1994;23:1063-85.
17. Mandel J,Paule R.Interlaboratory evaluation of a material with unequal number of replicates.Analytical Chemistry. 1970;42:1194-97.
18. Moreno S,Sutton A,Ades A,Stanley T,Abrams K,Peters J,Cooper N.Assessment of regression-based methods to adjust for publication bias through a comprehensive simulation study.BMC Medical Research Methodology. 2009;9:2.
19. Moreno S,Sutton A,Thompson J,Ades A,Abrams K,Cooper N.A generalised weighting regression-derived meta-analysis estimator robust to small study effects and heterogeneity.Statistics in Medicine. 2012;31:1407-17.
20. Olkin I,Saner H.Approximation for trimmed Fisher procedures in research synthesis.Statistical Methods in Medical Research. 2001;10:267-76.
21. Peto R.Why do we need systematic overviews of randomized trials?.Statistics in Medicine. 1987;6:233-40.
22. Prentice R.Binary regression using an extended beta-binomial distribution, with discussion of correlation induced by covariate measurement errors.Journal of the American Statistical Association. 1986;81:321-27.
23. Pryseley A,Tchonlafi C,Verbeke G,Molenberghs G.Estimating negative variance components from gaussian and non-gaussian data: a mixed models approach.Computational Statistics & Data Analysis. 2011;55:1071-85.
24. Rukhin A.Two procedures of meta-analysis in clinical trials and interlaboratory studies.Tatra Mountains Mathematical Publications. 2003;26:155-68.
25. Rukhin A.Weighted means statistics in interlaboratory studies.Metrologia. 2009;46:323-31.
26. Rukhin A,Biggerstaff B,Vangel M.Restricted maximum likelihood estimation of a common mean and the Mandel-Paule algorithm.Journal of Statistical Planning and Inference. 2000;83:319-30.
27. Thompson S,Sharp S.Explaining heter¬ogeneity in meta-analysis: a comparison of methods.Statistics in Medicine. 1999;18:2693-708.
28. Tukey J,Wilks S.Approximation of the distribution of the product of beta variables by a single beta variable.Annals of Mathematical Statistics. 1946;17:318-24.
29. Viechtbauer W.Confidence intervals for the amount of heterogeneity in meta-analysis.Statistics in Medicine. 2007;26:37-52.
30. Welch B.On the comparison of several mean values: an alternative approach.Biometrika. 1951;38:330-36.
31. Young-Xu Y,Chan K.Pooling overdispersed binomial data to estimate event rate.BMC Medical Research Methodology. 2008;8:358.