Cited by 248Meta-analysis and systematic reviewsStatistical Methods in Clinical TrialsPharmaceutical industry and healthcare

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The effects of excluding patients from the analysis in randomised controlled trials: meta-epidemiological study

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Nuesch, E., Trelle, S., Reichenbach, S., Rutjes, A. W S, Burgi, E., Scherer, M., Altman, D. G, Juni, P.·2009·BMJ

Abstract

OBJECTIVE: To examine whether excluding patients from the analysis of randomised trials are associated with biased estimates of treatment effects and higher heterogeneity between trials. DESIGN: Meta-epidemiological study based on a collection of meta-analyses of randomised trials. DATA SOURCES: 14 meta-analyses including 167 trials that compared therapeutic interventions with placebo or non-intervention control in patients with osteoarthritis of the hip or knee and used patient reported pain as an outcome. METHODS: Effect sizes were calculated from differences in means of pain intensity between groups at the end of follow-up, divided by the pooled standard deviation. Trials were combined by using random effects meta-analysis. Estimates of treatment effects were compared between trials with and trials without exclusions from the analysis, and the impact of restricting meta-analyses to trials without exclusions was assessed. RESULTS: 39 trials (23%) had included all patients in the analysis. In 128 trials (77%) some patients were excluded from the analysis. Effect sizes from trials with exclusions tended to be more beneficial than those from trials without exclusions (difference -0.13, 95% confidence interval -0.29 to 0.04). However, estimates of bias between individual meta-analyses varied considerably (tau(2)=0.07). Tests of interaction between exclusions from the analysis and estimates of treatment effects were positive in five meta-analyses. Stratified analyses indicated that differences in effect sizes between trials with and trials without exclusions were more pronounced in meta-analyses with high between trial heterogeneity, in meta-analyses with large estimated treatment benefits, and in meta-analyses of complementary medicine. Restriction of meta-analyses to trials without exclusions resulted in smaller estimated treatment benefits, larger P values, and considerable decreases in between trial heterogeneity. CONCLUSION: Excluding patients from the analysis in randomised trials often results in biased estimates of treatment effects, but the extent and direction of bias is unpredictable. Results from intention to treat analyses should always be described in reports of randomised trials. In systematic reviews, the influence of exclusions from the analysis on estimated treatment effects should routinely be assessed.

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Crossref · 10.1136/bmj.b3244

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Fig 1 Identification of meta-analyses in osteoarthritis
Fig 1 Identification of meta-analyses in osteoarthritisCC BY-NC · PubMed Central
Fig 2 Difference in effect sizes between 128 trials with and 39 trials without exclusions of patients from analysis. A negative difference in effect sizes indicates that trials with exclusions of patients from analysis show more beneficial treatment effects. P values are for interaction between exclusions from analysis and effect sizes. NSAIDs=non-steroidal anti-inflammatory drugs; TENS=transcutaneous electrical nerve stimulation
Fig 2 Difference in effect sizes between 128 trials with and 39 trials without exclusions of patients from analysis. A negative difference in effect sizes indicates that trials with exclusions of patients from analysis show more beneficial treatment effects. P values are for interaction between exclusions from analysis and effect sizes. NSAIDs=non-steroidal anti-inflammatory drugs; TENS=transcutaneous electrical nerve stimulationCC BY-NC · PubMed Central
Fig 3 Differences in effect sizes between 128 trials with and 39 trials without exclusions of patients from analysis stratified according to four characteristics of meta-analyses. See table 1 for a description of meta-analyses according to these characteristics. A τ2 <0.06 indicates low between trial heterogeneity and a τ2 ≥0.06 high between trial heterogeneity. An effect size >−0.5 indicates a small benefit of the experimental intervention and an effect size ≤−0.5 a large benefit. Meta-analyses are ordered according to year of publication. A negative difference in effect sizes indicates that trials with exclusions of patients from analysis show a more beneficial treatment effect. Variability in bias between-meta-analyses is expressed as heterogeneity variance τ2
Fig 3 Differences in effect sizes between 128 trials with and 39 trials without exclusions of patients from analysis stratified according to four characteristics of meta-analyses. See table 1 for a description of meta-analyses according to these characteristics. A τ2 <0.06 indicates low between trial heterogeneity and a τ2 ≥0.06 high between trial heterogeneity. An effect size >−0.5 indicates a small benefit of the experimental intervention and an effect size ≤−0.5 a large benefit. Meta-analyses are ordered according to year of publication. A negative difference in effect sizes indicates that trials with exclusions of patients from analysis show a more beneficial treatment effect. Variability in bias between-meta-analyses is expressed as heterogeneity variance τ2CC BY-NC · PubMed Central
Fig 4 Effect sizes, between trial heterogeneity τ2, precision, and P values of overall treatment benefits compared between overall meta-analyses including trials with and without exclusions of patients (x axis) and restricted meta-analyses including trials without exclusions of patients only (y axis). Dashed line indicates that estimates are identical. P values are derived from Wilcoxon rank tests for paired observations
Fig 4 Effect sizes, between trial heterogeneity τ2, precision, and P values of overall treatment benefits compared between overall meta-analyses including trials with and without exclusions of patients (x axis) and restricted meta-analyses including trials without exclusions of patients only (y axis). Dashed line indicates that estimates are identical. P values are derived from Wilcoxon rank tests for paired observationsCC BY-NC · PubMed Central

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Metadata

Authors
Nuesch, E., Trelle, S., Reichenbach, S., Rutjes, A. W. S., Burgi, E., Scherer, M., Altman, D. G., & Juni, P.
Affiliations
  • University of Bern (CH)
  • University of Göttingen (DE)
  • University of Oxford (GB)
Venue
BMJ
Publisher
BMJ
Published
2009-09-07
Volume
339
Issue
sep07 1
Pages
b3244-b3244
ISSN
  • 0007-1447 (ISSN-L)
  • 0959-8138
  • 1468-5833
OpenAlex
W2057810715
Cited by
248
References
52
Citations by year
2026: 9 · 2025: 11 · 2024: 8 · 2023: 9 · 2022: 7 · 2021: 15 · 2020: 20 · 2019: 11 · 2018: 11 · 2017: 15 · 2016: 15 · 2015: 17 · 2014: 17 · 2013: 20 · 2012: 22
FWCI
1.55
Type
journal article
Language
en
Open access
Licence
cc-by-nc
Locations
  • BMJ (publishedVersion, cc-by-nc)
  • Europe PMC (PubMed Central) (publishedVersion, cc-by-nc)
  • PubMed Central (publishedVersion, cc-by-nc)
  • PubMed (publishedVersion)
  • LSHTM Research Online (London School of Hygiene and Tropical Medicine) (acceptedVersion)
  • IRIS UNIMORE (University of Modena and Reggio Emilia) (submittedVersion, cc-by-nc)
  • Bern Open Repository and Information System (University of Bern) (submittedVersion, cc-by-nc)
  • GoeScholar The Publication Server of the Georg-August-Universität Göttingen (Georg-August-Universität Göttingen) (submittedVersion, cc-by)
  • Open Access CRIS of the University of Bern
Funders
  • National Science Foundation
  • Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (115067, 104762, 66377, 066377, 66378)
Topics
  • Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
  • Health Sciences › Nursing › Issues, ethics and legal aspects › Pharmaceutical industry and healthcare
Keywords
randomized controlled trials, bias in treatment effect estimates, between-trial heterogeneity, intention-to-treat analysis, osteoarthritis, hip osteoarthritis, knee osteoarthritis, patient-reported pain, complementary therapy, meta-epidemiology
MeSH terms
Data Collection, Humans, Pain, Meta-Analysis as Topic, Osteoarthritis, Hip, Bias, Randomized Controlled Trials as Topic, Sample Size, Osteoarthritis, Knee

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