Trim and Fill: A Simple Funnel‐Plot–Based Method of Testing and Adjusting for Publication Bias in Meta‐Analysis
2000/06/01 by Sue Duval, Richard Tweedie, Richard L. Tweedie · 14,108 citations
Computer Science · Decision Sciences · Mathematics · Medicine · #Computer science #Confidence interval #Covariate #Data Analysis with R #Econometrics #Funnel plot #Mathematics #Medicine #Meta-analysis #Meta-analysis and systematic reviews #Missing data #Nonparametric statistics #Point estimation #Publication bias #Sample size determination #Simple (philosophy) #Statistical Methods in Clinical Trials #Statistical hypothesis testing #Statistics #Trim
paper · doi:10.1111/j.0006-341x.2000.00455.x
published in Biometrics 56(2), 455-463 (Oxford University Press)
openalex publication_date 2000/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract
We study recently developed nonparametric methods for estimating the number of missing studies that might exist in a meta-analysis and the effect that these studies might have had on its outcome. These are simple rank-based data augmentation techniques, which formalize the use of funnel plots. We show that they provide effective and relatively powerful tests for evaluating the existence of such publication bias. After adjusting for missing studies, we find that the point estimate of the overall effect size is approximately correct and coverage of the effect size confidence intervals is substantially improved, in many cases recovering the nominal confidence levels entirely. We illustrate the trim and fill method on existing meta-analyses of studies in clinical trials and psychometrics.
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- Generative AI and Creativity: A Systematic Literature Review and Meta-Analysis
- Attention bias modification for anxiety disorders in children and adolescents: A systematic review and meta-analysis
- Kin Discrimination and the Benefit of Helping in Cooperatively Breeding Vertebrates
- Mismatch negativity in schizophrenia: a meta-analysis
- Prognostic significance of phase analysis using SPECT myocardial perfusion imaging in heart failure: a systematic review and meta-analysis
- The overestimation of the effect sizes of psychotherapies for depression in waitlist controlled trials: a meta-analytic comparison with usual care controlled trials
- Impact of genetic alterations on long-term outcomes in resectable intrahepatic cholangiocarcinoma: meta-analysis
- The effectiveness of self: A meta‐analysis of using self‐referential encoding techniques in education
- Organic farming enhances soil microbial abundance and activity—A meta-analysis and meta-regression
- Neuropsychological Deficits in Disordered Screen Use Behaviours: A Systematic Review and Meta-analysis
- The prevalence of Dissociative Disorders and dissociative experiences in college populations: a meta-analysis of 98 studies
- A meta-analysis of suicide prevention programs for school-aged youth
- Phosphene and motor transcranial magnetic stimulation thresholds are correlated: A meta-analytic investigation
- Infants' preference for speech is stable across the first year of life: Meta‐analytic evidence
- Mindfulness matters: Unveiling the relationship between trait mindfulness and procrastination – A three level meta-analysis
- A systematic review and meta-analysis of randomized controlled trials on the effects of magnesium supplementation on insulin sensitivity and glucose control
- Publication Bias (The "File-Drawer Problem") in Scientific Inference
- Efficacy of hypnosis in adults undergoing surgery or medical procedures: A meta-analysis of randomized controlled trials
- Remission in CBT for adult anxiety disorders: A meta-analysis
- The association between poor reading and internalising problems: A systematic review and meta-analysis
- Cognitive behavior therapy for internalizing disorders in children and adolescents in routine clinical care: A systematic review and meta-analysis
- Preventing depression in the offspring of parents with depression: A systematic review and meta-analysis of randomized controlled trials
- The emerging evidence on the association between symptoms of ADHD and gaming disorder: A systematic review and meta-analysis
- Emotion socialization parenting interventions targeting emotional competence in young children: A systematic review and meta-analysis of randomized controlled trials
- Reciprocal developmental pathways between future-related thinking and symptoms of adolescent depression and anxiety: A systematic review and meta-analysis of longitudinal studies.
- How sedentary are people with psychosis? A systematic review and meta-analysis
- Macroplastic litter colonization by stream macroinvertebrates relative to that of plant litter: A meta-analysis
- MetaWin 3: open-source software for meta-analysis
- Safety planning-type interventions for suicide prevention: meta-analysis
- Treatment efficacy and effectiveness in adults with major depressive disorder and childhood trauma history: a systematic review and meta-analysis
- A systematic review of personality trait change through intervention.
- Twenty-six years of psychosocial interventions to reduce suicide risk in adolescents: Systematic review and meta-analysis
- Effect of statin therapy on paraoxonase-1 status: A systematic review and meta-analysis of 25 clinical trials
- Effects of different forms of explicit instruction on L2 development: A meta‐analysis
- Systematic review and meta-analysis: sodium picosulfate/magnesium citrate vs. polyethylene glycol for colonoscopy preparation
- Media literacy interventions: meta-analytic review of 40 years of research
- News of Ego Depletion's Demise is Premature: Commentary on Carter, Kofler, Forster, & Mccullough, 2015
- Violent video game effects on aggression, empathy, and prosocial behavior in Eastern and Western countries: A meta-analytic review.
- The Effectiveness of Interventions for Grandparents Raising Grandchildren: A Meta-Analysis
- Laughter-inducing therapies: Systematic review and meta-analysis
- Illness and treatment beliefs and health outcomes in chronic pain: a meta-analysis
- The effect of contact with natural environments on positive and negative affect: A meta-analysis
- Research Review: A meta‐analysis of relapse rates in cognitive behavioral therapy for anxiety and related disorders in youth
- Procedural justice perceptions, legitimacy beliefs, and compliance with the law: a meta-analysis
- Purpose in Life and Its Relationship to All-Cause Mortality and Cardiovascular Events
- Is job strain a risk factor for musculoskeletal pain? A systematic review and meta-analysis of 21 longitudinal studies
- Association of Apolipoprotein E Genotypes With Lipid Levels and Coronary Risk
- A Meta-Analysis of Risk Markers for Intimate Partner Violence in Same-Sex Relationships
- Low‐Dose Aspirin Use and Cognitive Function in Older Age: A Systematic Review and Meta‐analysis
- The relationship between cognitive ability and chess skill: A comprehensive meta-analysis
- Post-dengue acute disseminated encephalomyelitis: A case report and meta-analysis
- The effects of almond consumption on fasting blood lipid levels: a systematic review and meta-analysis of randomised controlled trials
- Restricting the use of antibiotics in food-producing animals and its associations with antibiotic resistance in food-producing animals and human beings: a systematic review and meta-analysis
- Selected Pregnancy and Delivery Outcomes After Exposure to Antidepressant Medication
- A meta-analysis of the relationship between antidepressant use in pregnancy and the risk of preterm birth and low birth weight
- Disparities in cancer screening in people with mental illness across the world versus the general population: prevalence and comparative meta-analysis including 4 717 839 people
- Once or twice daily versus three times daily amoxicillin with or without clavulanate for the treatment of acute otitis media
- Maintenance treatment with antipsychotic drugs for schizophrenia
- Efficacy of treatments for anxiety disorders
- A Meta-Analysis of Moral Reconation Therapy
- Psychotherapy for depression in adults: A meta-analysis of comparative outcome studies.
- Fruit and vegetable consumption and mortality from all causes, cardiovascular disease, and cancer: systematic review and dose-response meta-analysis of prospective cohort studies
- The Efficacy of Metacognitive Training for Delusions in Patients With Schizophrenia: A Meta‐Analysis of Randomized Controlled Trials Informs Evidence‐Based Practice
- Carbohydrate quality and human health: a series of systematic reviews and meta-analyses
- Estimating the prevalence of heterozygous familial hypercholesterolaemia: a systematic review and meta-analysis
- Efficacy of covid-19 vaccines in immunocompromised patients: systematic review and meta-analysis
- Effects of caffeine intake on muscle strength and power: a systematic review and meta-analysis
- Maternal caffeine intake during pregnancy and risk of pregnancy loss: a categorical and dose–response meta-analysis of prospective studies
- Preventing the Onset of Depressive Disorders: A Meta-Analytic Review of Psychological Interventions
- Amitriptyline versus placebo for major depressive disorder
- Self-reported cognitive biases in depression: A meta-analysis
- Relationship between depression and frailty in older adults: A systematic review and meta-analysis
- Hypothalamic–pituitary–adrenal axis dysregulation in depressed children and adolescents: A meta-analysis
- Atrial fibrillation and risks of cardiovascular disease, renal disease, and death: systematic review and meta-analysis
- Publication bias in meta‐analyses from the Cochrane Database of Systematic Reviews
- Atrial fibrillation as risk factor for cardiovascular disease and death in women compared with men: systematic review and meta-analysis of cohort studies
- Intake of saturated and trans unsaturated fatty acids and risk of all cause mortality, cardiovascular disease, and type 2 diabetes: systematic review and meta-analysis of observational studies
- Sedative hypnotics in older people with insomnia: meta-analysis of risks and benefits
- Effectiveness of non-benzodiazepine hypnotics in treatment of adult insomnia: meta-analysis of data submitted to the Food and Drug Administration
- Randomised, double-blind, placebo-controlled trials of non-individualised homeopathic treatment: systematic review and meta-analysis
- Why homoeopathy is pseudoscience
- Meta-analytic evidence that animals rarely avoid inbreeding
- When the music's over. Does music skill transfer to children's and young adolescents' cognitive and academic skills? A meta-analysis
- Lycopene and Risk of Prostate Cancer
- Meditation and yoga for posttraumatic stress disorder: A meta-analytic review of randomized controlled trials
- Association between exposure to macrolides and the development of infantile hypertrophic pyloric stenosis: a systematic review and meta-analysis
- The Efficacy of Modafinil as a Cognitive Enhancer
- The effects of sex hormones on immune function: a meta-analysis
- Interpersonal Psychotherapy for Mental Health Problems: A Comprehensive Meta-Analysis
- The effectiveness of pair programming: A meta-analysis
- Comparative efficacy and tolerability of 32 oral antipsychotics for the acute treatment of adults with multi-episode schizophrenia: a systematic review and network meta-analysis
- Sixty Years of Placebo-Controlled Antipsychotic Drug Trials in Acute Schizophrenia: Systematic Review, Bayesian Meta-Analysis, and Meta-Regression of Efficacy Predictors
- The efficacy of Acceptance and Commitment Therapy: An updated systematic review and meta-analysis
- Incidence of cardiovascular events and gastrointestinal bleeding in patients receiving clopidogrel with and without proton pump inhibitors: an updated meta-analysis
- Cognitive and behavioral therapies in the treatment of insomnia: A meta-analysis
- Online Privacy Concerns and Privacy Management: A Meta-Analytical Review
- Reward, punishment, and cooperation: A meta-analysis.
- The Politics of Fear: Is There an Ideological Asymmetry in Existential Motivation?
- The effect of screen advertising on children's dietary intake: A systematic review and meta‐analysis
- Memory and Obstructive Sleep Apnea: A Meta-Analysis
- Efficacy of Psychotherapies for Borderline Personality Disorder
- Феномен прорыва гематоэнцефалического барьера при невынашивании беременности
- Racism as a Determinant of Health: A Systematic Review and Meta-Analysis
- A meta‐analysis of the association between Caesarean section and childhood asthma
- Clinical studies show no effects of soy protein or isoflavones on reproductive hormones in men: results of a meta-analysis
- The Effect of Improved Serum 25-Hydroxyvitamin D Status on Glycemic Control in Diabetic Patients: A Meta-Analysis
- Long-term Sustainability of Diabetes Prevention Approaches
- Relation of active, passive, and quitting smoking with incident type 2 diabetes: a systematic review and meta-analysis
- Rewards of kindness? A meta-analysis of the link between prosociality and well-being.
- Positive psychology interventions: a meta-analysis of randomized controlled studies
- A meta-analysis of body mass index and esophageal and gastric cardia adenocarcinoma
- Survival time and differences between dementia with Lewy bodies and Alzheimer’s disease following diagnosis: A meta-analysis of longitudinal studies
- Geographic origin is a significant determinant of human papillomavirus prevalence in oesophageal squamous cell carcinoma: Systematic review and meta-analysis
- Effects of supplementation with green tea catechins on plasma C-reactive protein concentrations: A systematic review and meta-analysis of randomized controlled trials
- Untangling Intelligence, Psychopathy, Antisocial Personality Disorder, and Conduct Problems: A Meta–Analytic Review
- Cannabis Use and Earlier Onset of Psychosis
- Does Homework Improve Academic Achievement? A Synthesis of Research, 1987–2003
- p -Curve and Effect Size
- Prognosis of Asymptomatic Carotid Artery Occlusion
- Risk of all-cause mortality and cardiovascular disease associated with secondhand smoke exposure: A systematic review and meta-analysis
- Systematic Review and Meta-analysis of the Association Between Exposure to Environmental Tobacco Smoke and Periodontitis Endpoints Among Nonsmokers
- Association of Secondhand Smoke Exposure with Pediatric Invasive Bacterial Disease and Bacterial Carriage: A Systematic Review and Meta-analysis
- Passive Smoking and Risk of Type 2 Diabetes: A Meta-Analysis of Prospective Cohort Studies
- Revisiting evidence on lung cancer and passive smoking: Adjustment for publication bias by means of “trim and fill” algorithm
- Meta-analysis of studies of passive smoking and lung cancer: effects of study type and continent
- Does Gender Matter? Female Representation on Corporate Boards and Firm Financial Performance - A Meta-Analysis
- Shift work and diabetes mellitus: a meta-analysis of observational studies
- Shift work and vascular events: systematic review and meta-analysis
- Effects of Mindfulness-based interventions on physical symptoms in people with multiple sclerosis – a systematic review and meta-analysis
- A meta-analytic investigation of the impact of mindfulness-based interventions on ADHD symptoms
- The effect of mindfulness-based cognitive therapy for prevention of relapse in recurrent major depressive disorder: A systematic review and meta-analysis
- Mindfulness‐based interventions for weight loss: a systematic review and meta‐analysis
- Mindfulness‐based interventions for psychological and physical health outcomes in cancer patients and survivors: A systematic review and meta‐analysis of randomized controlled trials
- The Efficacy of Mindfulness-Based Interventions in Primary Care: A Meta-Analytic Review
- Effectiveness of online mindfulness-based interventions in improving mental health: A review and meta-analysis of randomised controlled trials
- The Relation Between Intelligence and Religiosity
- Age Differences in Intra-Individual Variability in Simple and Choice Reaction Time: Systematic Review and Meta-Analysis
- Sex Differences in Human Olfaction: A Meta-Analysis
- Do women’s mate preferences change across the ovulatory cycle? A meta-analytic review.
- Residual disease after radiologically complete vacuum-assisted breast excision in patients with ductal carcinoma in situ: A systematic review and meta-analysis
- The antecedents of moral identity: A meta-analytic review
- Stress management interventions for college students: A systematic review and meta-analysis.
- Meta-analysis of faculty's teaching effectiveness: Student evaluation of teaching ratings and student learning are not related
- Publication and other reporting biases in cognitive sciences: detection, prevalence, and prevention
- Cross‐linguistic transfer of oral language, decoding, phonological awareness and reading comprehension: a meta‐analysis of the correlational evidence
- A Meta-Analysis on Mobile-Assisted Language Learning Applications: Benefits and Risks
- Association of the CHRNA5-A3-B4 Gene Cluster With Heaviness of Smoking: A Meta-Analysis
- Pair-bonding, fatherhood, and the role of testosterone: A meta-analytic review
- Is There a Universal Positivity Bias in Attributions? A Meta-Analytic Review of Individual, Developmental, and Cultural Differences in the Self-Serving Attributional Bias.
- Breastfeeding after cesarean delivery: a systematic review and meta-analysis of world literature
- Neuropsychological differences between obsessive-compulsive washers and checkers: A systematic review and meta-analysis
- Cognitive functioning in obsessive-compulsive disorder: a meta-analysis
- The Effectiveness of Virtual Reality Exposure–Based Cognitive Behavioral Therapy for Severe Anxiety Disorders, Obsessive-Compulsive Disorder, and Posttraumatic Stress Disorder: Meta-analysis
- Systematic reviews in health care: Investigating and dealing with publication and other biases in meta-analysis. [europepmc]
- Perceived discrimination and health: a meta-analytic review. [europepmc]
- The relation between different dimensions of alcohol consumption and burden of disease: an overview. [europepmc]
- A meta-analysis of computer-tailored interventions for health behavior change. [europepmc]
- A meta-analysis of depression during pregnancy and the risk of preterm birth, low birth weight, and intrauterine growth restriction. [europepmc]
- Delayed reward discounting and addictive behavior: a meta-analysis. [europepmc]
- Spouses, adult children, and children-in-law as caregivers of older adults: a meta-analytic comparison. [europepmc]
- Depression and risk of stroke morbidity and mortality: a meta-analysis and systematic review. [europepmc]
- Modelling neural correlates of working memory: a coordinate-based meta-analysis. [europepmc]
- Positive psychology interventions: a meta-analysis of randomized controlled studies. [europepmc]
- Inflammatory cytokines and risk of coronary heart disease: new prospective study and updated meta-analysis. [europepmc]
- Anxiety Disorders are Associated with Reduced Heart Rate Variability: A Meta-Analysis. [europepmc]
- Fruit and vegetable consumption and mortality from all causes, cardiovascular disease, and cancer: systematic review and dose-response meta-analysis of prospective cohort studies. [europepmc]
- Pharmacotherapy for neuropathic pain in adults: a systematic review and meta-analysis. [europepmc]
- Working Memory Training Does Not Improve Performance on Measures of Intelligence or Other Measures of "Far Transfer": Evidence From a Meta-Analytic Review. [europepmc]
- Diurnal cortisol slopes and mental and physical health outcomes: A systematic review and meta-analysis. [europepmc]
- Coping, emotion regulation, and psychopathology in childhood and adolescence: A meta-analysis and narrative review. [europepmc]
- The interpersonal theory of suicide: A systematic review and meta-analysis of a decade of cross-national research. [europepmc]
- Quantifying publication bias in meta-analysis. [europepmc]
- Global Burden of Atherosclerotic Cardiovascular Disease in People Living With HIV: Systematic Review and Meta-Analysis. [europepmc]
- The trim-and-fill method for publication bias: practical guidelines and recommendations based on a large database of meta-analyses. [europepmc]
- Comparative efficacy and tolerability of 32 oral antipsychotics for the acute treatment of adults with multi-episode schizophrenia: a systematic review and network meta-analysis. [europepmc]
- The efficacy of app-supported smartphone interventions for mental health problems: a meta-analysis of randomized controlled trials. [europepmc]
- Effect Size Guidelines, Sample Size Calculations, and Statistical Power in Gerontology. [europepmc]
- Household Transmission of SARS-CoV-2: A Systematic Review and Meta-analysis. [europepmc]
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