Addressing the estimation of standard errors in fixed effects meta‐analysis
Standard methods for fixed effects meta‐analysis assume that standard errors for study‐specific estimates are known, not estimated. While the impact of this simplifying assumption has been shown in a few special cases, its general impact is not well understood, nor are general‐purpose tools availabl...
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| Veröffentlicht in: | Statistics in medicine Jg. 37; H. 11; S. 1788 - 1809 |
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England
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20.05.2018
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| Abstract | Standard methods for fixed effects meta‐analysis assume that standard errors for study‐specific estimates are known, not estimated. While the impact of this simplifying assumption has been shown in a few special cases, its general impact is not well understood, nor are general‐purpose tools available for inference under more realistic assumptions. In this paper, we aim to elucidate the impact of using estimated standard errors in fixed effects meta‐analysis, showing why it does not go away in large samples and quantifying how badly miscalibrated standard inference will be if it is ignored. We also show the important role of a particular measure of heterogeneity in this miscalibration. These developments lead to confidence intervals for fixed effects meta‐analysis with improved performance for both location and scale parameters. |
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| AbstractList | Standard methods for fixed effects meta-analysis assume that standard errors for study-specific estimates are known, not estimated. While the impact of this simplifying assumption has been shown in a few special cases, its general impact is not well understood, nor are general-purpose tools available for inference under more realistic assumptions. In this paper, we aim to elucidate the impact of using estimated standard errors in fixed effects meta-analysis, showing why it does not go away in large samples and quantifying how badly miscalibrated standard inference will be if it is ignored. We also show the important role of a particular measure of heterogeneity in this miscalibration. These developments lead to confidence intervals for fixed effects meta-analysis with improved performance for both location and scale parameters. Standard methods for fixed effects meta-analysis assume that standard errors for study-specific estimates are known, not estimated. While the impact of this simplifying assumption has been shown in a few special cases, its general impact is not well understood, nor are general-purpose tools available for inference under more realistic assumptions. In this paper, we aim to elucidate the impact of using estimated standard errors in fixed effects meta-analysis, showing why it does not go away in large samples and quantifying how badly miscalibrated standard inference will be if it is ignored. We also show the important role of a particular measure of heterogeneity in this miscalibration. These developments lead to confidence intervals for fixed effects meta-analysis with improved performance for both location and scale parameters.Standard methods for fixed effects meta-analysis assume that standard errors for study-specific estimates are known, not estimated. While the impact of this simplifying assumption has been shown in a few special cases, its general impact is not well understood, nor are general-purpose tools available for inference under more realistic assumptions. In this paper, we aim to elucidate the impact of using estimated standard errors in fixed effects meta-analysis, showing why it does not go away in large samples and quantifying how badly miscalibrated standard inference will be if it is ignored. We also show the important role of a particular measure of heterogeneity in this miscalibration. These developments lead to confidence intervals for fixed effects meta-analysis with improved performance for both location and scale parameters. |
| Author | Rice, Kenneth M. Domínguez Islas, Clara |
| AuthorAffiliation | 1 Fred Hutchinson Cancer Research Center Seattle WA USA 2 MRC Biostatistics Unit School of Clinical Medicine, University of Cambridge Cambridge UK 3 Department of Biostatistics University of Washington Seattle WA USA |
| AuthorAffiliation_xml | – name: 3 Department of Biostatistics University of Washington Seattle WA USA – name: 1 Fred Hutchinson Cancer Research Center Seattle WA USA – name: 2 MRC Biostatistics Unit School of Clinical Medicine, University of Cambridge Cambridge UK |
| Author_xml | – sequence: 1 givenname: Clara orcidid: 0000-0003-0653-3441 surname: Domínguez Islas fullname: Domínguez Islas, Clara email: cdomingu@fredhutch.org organization: School of Clinical Medicine, University of Cambridge – sequence: 2 givenname: Kenneth M. surname: Rice fullname: Rice, Kenneth M. organization: University of Washington |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/29574827$$D View this record in MEDLINE/PubMed |
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| Cites_doi | 10.1017/S0266462300008916 10.1002/sim.4780060307 10.1080/03610929408831305 10.1002/sim.3511 10.1111/j.1467-985X.2008.00552.x 10.1002/0470092602 10.1002/sim.2639 10.1007/978-1-4612-2950-6 10.1002/(SICI)1097-0258(19960330)15:6<619::AID-SIM188>3.0.CO;2-A 10.3102/0013189X005010003 10.3102/10769986030003261 10.1136/bmj.327.7414.557 10.1002/sim.2112 10.1002/sim.791 10.1016/0378-3758(94)00104-4 10.1002/sim.4780060306 10.1002/sim.1186 10.1201/9780429246593 10.1002/(SICI)1097-0258(19980430)17:8<841::AID-SIM781>3.0.CO;2-D 10.1037/1082-989X.6.3.203 10.1002/jrsm.12 10.1080/01621459.1983.10477985 10.1093/biomet/36.1-2.202 10.1037/0033-2909.93.2.388 10.1093/biostatistics/kxt034 10.1093/biomet/asq006 10.2307/2287050 10.1016/S1573-4412(01)05005-X 10.1214/07-AOAS124 10.1214/06-BA117A 10.18637/jss.v036.i03 10.1093/biomet/58.3.545 10.1002/9780470386347 10.1080/01621459.1977.10480998 10.1111/j.1467-9876.2005.00489.x 10.1016/0197-2456(86)90046-2 10.1111/rssa.12275 10.1002/sim.2514 10.1016/0140-6736(91)91975-Z |
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| Keywords | random effects meta-analysis fixed effects heterogeneity |
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| SubjectTerms | Biostatistics - methods Common Cold - drug therapy Computer Simulation Errors fixed effects heterogeneity Humans Meta-analysis Meta-Analysis as Topic Methods Models, Statistical random effects Systematic Reviews as Topic Zinc - therapeutic use |
| Title | Addressing the estimation of standard errors in fixed effects meta‐analysis |
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