ArticleBMC medical research methodology2008
Simpson's paradox visualized: the example of the rosiglitazone meta-analysis.
Article in BMC medical research methodology, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 42 papers, 12 of them syntheses that pooled it.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
42 citing papers in PubMed, 12 syntheses or guidelines pooled it.
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- A Meta-analysis of Gut Microbiota in Children with Autism.Journal of autism and developmental disorders · 2022Pooled it
- Effects of exercise therapy in patients with acute low back pain: a systematic review of systematic reviews.Systematic reviews · 2020Pooled it
- Bias and precision of methods for estimating the difference in restricted mean survival time from an individual patient data meta-analysis.BMC medical research methodology · 2016Pooled it
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- Aerobic Exercise Response Variation and Cardiorespiratory Fitness in Adults with Coronary Heart Disease: An SDir Meta-Analysis of Randomized Controlled Trials.Journal of cardiovascular development and disease · 2026Review
- Bayesian Random-Effects Meta-Analysis of Aggregate Data on Clinical Events.Statistics in medicine · 2026Article
- A Systematic Review and Meta-Analysis of Physical Activity Interventions in Colorectal Cancer Survivors: An Evidence Evaluation Attempt Across Racial/Ethnic Groups.Healthcare (Basel, Switzerland) · 2025Review
- Systematic review and meta-analysis of randomized controlled trials of interventions addressing caregiver distress and burden among cancer caregivers.PEC innovation · 2023Review
- What if 0 is not equal to 0? Inter-personal health utilities anchoring using the largest health gains.The European journal of health economics : HEPAC : health economics in prevention and care · 2023Article
- Interventions to improve physical activity in colorectal cancer survivors: protocol for a systematic review and meta-analysis of randomized controlled trials.Journal of advanced nursing · 2021Article
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Corrections and comments
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
backgroundSimpson's paradox is sometimes referred to in the areas of epidemiology and clinical research. It can also be found in meta-analysis of randomized clinical trials. However, though readers are able to recalculate examples from hypothetical as well as real data, they may have problems to easily figure where it emerges from.
methodFirst, two kinds of plots are proposed to illustrate the phenomenon graphically, a scatter plot and a line graph. Subsequently, these can be overlaid, resulting in a overlay plot. The plots are applied to the recent large meta-analysis of adverse effects of rosiglitazone on myocardial infarction and to an example from the literature. A large set of meta-analyses is screened for further examples.
resultsAs noted earlier by others, occurrence of Simpson's paradox in the meta-analytic setting, if present, is associated with imbalance of treatment arm size. This is well illustrated by the proposed plots. The rosiglitazone meta-analysis shows an effect reversion if all trials are pooled. In a sample of 157 meta-analyses, nine showed an effect reversion after pooling, though non-significant in all cases.
conclusionThe plots give insight on how the imbalance of trial arm size works as a confounder, thus producing Simpson's paradox. Readers can see why meta-analytic methods must be used and what is wrong with simple pooling.
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