ArticleBMC medical research methodology2015
Hartung-Knapp-Sidik-Jonkman approach and its modification for random-effects meta-analysis with few studies.
Article in BMC medical research methodology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 254 papers, 116 of them syntheses that pooled it.
What it found
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Who cites it
254 citing papers in PubMed, 116 syntheses or guidelines pooled it.
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- Sarcopenia and Survival in Patients With Head and Neck Squamous Cell Carcinoma Receiving Immune Checkpoint Inhibitors: A Systematic Review and Meta-Analysis of Prognostic Association.Cancer reports (Hoboken, N.J.) · 2026Pooled it
- Factors Associated With Endodontic Flare-Ups: A Systematic Review and Meta-Analysis.International endodontic journal · 2026Pooled it
- Do thyroid nodules in the isthmus carry a higher risk of malignancy? A systematic review and meta-analysis.European archives of oto-rhino-laryngology : official journal of the European Federation of Oto-Rhino-Laryngological Societies (EUFOS) : affiliated with the German Society for Oto-Rhino-Laryngology - Head and Neck Surgery · 2026Pooled it
- Reappraisal of Cisplatin vs Carboplatin Treatment for Solid Tumors: An Umbrella Meta-Analysis.JAMA network open · 2026Pooled it
- Ustekinumab Biosimilars versus Reference Ustekinumab for Moderate-to-Severe Plaque Psoriasis: A Pre-switch Systematic Review and Meta-analysis.BioDrugs : clinical immunotherapeutics, biopharmaceuticals and gene therapy · 2026Pooled it
- Pooled it
194 more citing papers are in PubMed but not listed here.
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
backgroundRandom-effects meta-analysis is commonly performed by first deriving an estimate of the between-study variation, the heterogeneity, and subsequently using this as the basis for combining results, i.e., for estimating the effect, the figure of primary interest. The heterogeneity variance estimate however is commonly associated with substantial uncertainty, especially in contexts where there are only few studies available, such as in small populations and rare diseases.
methodsConfidence intervals and tests for the effect may be constructed via a simple normal approximation, or via a Student-t distribution, using the Hartung-Knapp-Sidik-Jonkman (HKSJ) approach, which additionally uses a refined estimator of variance of the effect estimator. The modified Knapp-Hartung method (mKH) applies an ad hoc correction and has been proposed to prevent counterintuitive effects and to yield more conservative inference. We performed a simulation study to investigate the behaviour of the standard HKSJ and modified mKH procedures in a range of circumstances, with a focus on the common case of meta-analysis based on only a few studies.
resultsThe standard HKSJ procedure works well when the treatment effect estimates to be combined are of comparable precision, but nominal error levels are exceeded when standard errors vary considerably between studies (e.g. due to variations in study size). Application of the modification on the other hand yields more conservative results with error rates closer to the nominal level. Differences are most pronounced in the common case of few studies of varying size or precision.
conclusionsUse of the modified mKH procedure is recommended, especially when only a few studies contribute to the meta-analysis and the involved studies' precisions (standard errors) vary.
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