Meta-analysis without study-specific variance information: Heterogeneity case
Meta-analysis without study-specific variance information: Heterogeneity case
The random effects model in meta-analysis is a standard statistical tool often used to analyze the effect sizes of the quantity of interest if there is heterogeneity between studies. In the special case considered here, meta-analytic data contain only the sample means in two treatment arms and the sample sizes, but no sample standard deviation. The statistical comparison between two arms for this case is not possible within the existing meta-analytic inference framework. Therefore, the main objective of this paper is to estimate the overall mean difference and associated variances, the between-study variance and the within-study variance, as specified as the important elements in the random effects model. These estimators are obtained using maximum likelihood estimation. The standard errors of the estimators and a quantification of the degree of heterogeneity are also investigated. A measure of heterogeneity is suggested which adjusts the original suggested measure of Higgins’ I2 for within study sample size. The performance of the proposed estimators is evaluated using simulations. It can be concluded that all estimated means converged to their associated true parameter values, and its standard errors tended to be small if the number of the studies involved in the meta-analysis was large. The proposed estimators could be favorably applied in a meta-analysis on comparing two surgeries for asymptomatic congenital lung malformations in young children.
Sangnawakij, Patarawan
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Bohning, Dankmar
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Niwitpong, Sa-aat
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Adams, Stephen
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Stanton, Michael
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Holling, Heinz
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Sangnawakij, Patarawan
e821a2a7-a89f-4172-9006-8a6c2db9add6
Bohning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
Niwitpong, Sa-aat
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Adams, Stephen
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Stanton, Michael
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Holling, Heinz
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Sangnawakij, Patarawan, Bohning, Dankmar, Niwitpong, Sa-aat, Adams, Stephen, Stanton, Michael and Holling, Heinz
(2017)
Meta-analysis without study-specific variance information: Heterogeneity case.
Statistical Methods in Medical Research.
(doi:10.1177/0962280217718867).
Abstract
The random effects model in meta-analysis is a standard statistical tool often used to analyze the effect sizes of the quantity of interest if there is heterogeneity between studies. In the special case considered here, meta-analytic data contain only the sample means in two treatment arms and the sample sizes, but no sample standard deviation. The statistical comparison between two arms for this case is not possible within the existing meta-analytic inference framework. Therefore, the main objective of this paper is to estimate the overall mean difference and associated variances, the between-study variance and the within-study variance, as specified as the important elements in the random effects model. These estimators are obtained using maximum likelihood estimation. The standard errors of the estimators and a quantification of the degree of heterogeneity are also investigated. A measure of heterogeneity is suggested which adjusts the original suggested measure of Higgins’ I2 for within study sample size. The performance of the proposed estimators is evaluated using simulations. It can be concluded that all estimated means converged to their associated true parameter values, and its standard errors tended to be small if the number of the studies involved in the meta-analysis was large. The proposed estimators could be favorably applied in a meta-analysis on comparing two surgeries for asymptomatic congenital lung malformations in young children.
Text
R4_MA_without_var_heterogeneity_case
- Accepted Manuscript
More information
Accepted/In Press date: 6 July 2017
e-pub ahead of print date: 6 July 2017
Identifiers
Local EPrints ID: 419350
URI: http://eprints.soton.ac.uk/id/eprint/419350
ISSN: 0962-2802
PURE UUID: 0bdd07fa-3bb0-4bce-ab1c-b1385793aa9d
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Date deposited: 11 Apr 2018 16:30
Last modified: 16 Mar 2024 04:07
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Contributors
Author:
Patarawan Sangnawakij
Author:
Sa-aat Niwitpong
Author:
Stephen Adams
Author:
Michael Stanton
Author:
Heinz Holling
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