Mainstream Meta-Analysis of Clinical Trials produces strongly Inconsistent Estimators

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Mainstream random-effects meta-analysis of clinical trials (IVW, weights inversely proportional to the estimated variance), as has been shown in two publications, cannot be trusted. This is especially disturbing as meta-analysis, the combination of like studies to produce an overall estimate of effect size, is at the apex of most evidence pyramids. The asymptotic distribution theory of the mainstream fails because weighted linear combination theory can only be applied to weights that are constants with high degrees of accuracy. In fact, they are certainly volatile random variables. The asymptotic setting requires that the number of studies being combined goes to infinity. Our novel finding is that the coverage of their “95% confidence interval” for overall effect size converges to zero (strong inconsistency). We have conducted reanalysis of about 30 highly influential meta-analysis of clinical trials and found that the mainstream methods had unsupportable qualitative conclusions in about 10%, leading to scientifically unsupportable public health policies. Further, about another 15% had unsupportable quantitative conclusions. The two references offer an asymptotically valid alternative, based on ratio estimation borrowed from survey sampling methods. We also show that if you adjust for the bias of the IVW estimate, you obtain the unpopular equally weighted estimate.

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  • 10.1037/h0087004
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  • Canadian Psychology / Psychologie canadienne
  • Donald Sharpe

REX B. KLINE Beyond Significance Testing: Reforming Data Analysis Methods in Behavioral Research Washington, DC: American Psychological Association, 2004, 336 pages (ISBN 1-59147-118-4, US$49.95 Hardcover) In 1999, a blue-ribbon task force assembled by the American Psychological Association published their findings with regards to the long-standing controversy pertaining to null hypothesis testing (NHST). The task force dictated effect sizes and confidence intervals be reported, and p values and dichotomous accept-reject decisions be given less weight. Editorial policies in a number of journals came to reflect the views of the task force as did a subsequent revision to the American Psychological Association Publication Manual. Rex B. Kline wrote Beyond Significance Testing. Reforming Data Analysis Methods in Behavioral Research as a follow-up to both the task force recommendations and the revision to the publication manual. Kline's 1998 book Principles and Practice of Structural Equation Modeling (Guilford Press) was well received and a second edition is being published this fall. In Beyond Significance Testing, Kline reviews the controversy regarding testing, offers methods for effect size and confidence interval estimation, and suggests some methodologies. There is an accompanying website that includes resources for instructors and students. Part I of the book is a review of fundamental concepts and the debate regarding testing. Part II provides statistics for effect size and confidence interval estimation for parametric and nonparametric two-group, oneway, and factorial designs. Part III examines metaanalysis, resampling, and Bayesian estimation procedures. In the first chapter, Kline provides a scholarly summary of the null hypothesis testing debate concluding with the APA task force findings and what Kline regards as ambiguous recommendations in the publication manual. Kline predicts the future will see a smaller role for traditional statistical testing (p values) in psychology. This change will take time and may not occur until the next generation of researchers are trained, but Kline anticipates the social sciences will then become more like the natural sciences in that we will report the directions and magnitudes of our effects, determine whether they replicate, and evaluate them for their theoretical, clinical, or practical significance (p. 15). Chapter 2 is a review of fundamental concepts of research design, including sampling and estimation, the logic of statistical testing, and t, F, and chi-square tests. The problems with statistical tests are revisited in Chapter 3. What follows is a long list of errors in interpretation of p values and conclusions made after null hypothesis testing. The emphasis on null hypothesis testing in psychology is also argued to inhibit advancement of the discipline. To be fair, Kline recognizes there is yet no magical alternative to statistical tests and that such tests are appropriate in some circumstances when applied correctly. Nonetheless, Kline envisions a future where effect sizes and confidence intervals are reported, substantive rather than statistical predominates, and NHST-Centric thinking has diminished. Part II covers effect size and confidence interval calculations. Chapter 4 is a presentation of parametric effect size indexes. Independent and dependent sample statistics are covered separately. The textbook's website has a supplementary chapter on twogroup multivariate designs. Group difference indexes such as d are distinguished from measures of association such as r. Case level analyses of group differences are also reviewed. Sections not relevant to a reader's needs can be skipped without loss of continuity. Interpretive guidelines for effect size magnitude and how one might be fooled by effect size estimation are sections that should not be passed over. …

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  • Cite Count Icon 122
  • 10.1186/1472-6882-9-1
Evidence-based effect size estimation:An illustration using the case of acupuncture for cancer-related fatigue
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  • BMC Complementary and Alternative Medicine
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BackgroundEstimating a realistic effect size is an important issue in the planning of clinical studies of complementary and alternative medicine therapies. When a minimally important difference is not available, researchers may estimate effect size using the published literature. This evidence-based effect size estimation may be used to produce a range of empirically-informed effect size and consequent sample size estimates. We provide an illustration of deriving plausible effect size ranges for a study of acupuncture in the relief of post-chemotherapy fatigue in breast cancer patients.MethodsA PubMed search identified three uncontrolled studies reporting the effect of acupuncture in relieving fatigue. A separate search identified five randomized controlled trials (RCTs) with a wait-list control of breast cancer patients receiving standard care that reported data on fatigue. We use these published data to produce best, average, and worst-case effect size estimates and related sample size estimates for a trial of acupuncture in the relief of cancer-related fatigue relative to a wait-list control receiving standard care.ResultsUse of evidence-based effect size estimation to calculate sample size requirements for a study of acupuncture in relieving fatigue in breast cancer survivors relative to a wait-list control receiving standard care suggests that an adequately-powered phase III randomized controlled trial comprised of two arms would require at least 101 subjects (52 per arm) if a strong effect is assumed for acupuncture and 235 (118 per arm) if a moderate effect is assumed.ConclusionEvidence-based effect size estimation helps justify assumptions in light of empirical evidence and can lead to more realistic sample size calculations, an outcome that would be of great benefit for the field of complementary and alternative medicine.

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Effect of Coenzyme Q10 Supplementation on Diabetes Biomarkers: a Systematic Review and Meta-analysis of Randomized Controlled Clinical Trials.
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Responsiveness of Endoscopic Indices of Disease Activity for Crohn's Disease.
  • Jan 10, 2017
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The Replication Paradox: Combining Studies can Decrease Accuracy of Effect Size Estimates
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Replication is often viewed as the demarcation between science and nonscience. However, contrary to the commonly held view, we show that in the current (selective) publication system replications may increase bias in effect size estimates. Specifically, we examine the effect of replication on bias in estimated population effect size as a function of publication bias and the studies’ sample size or power. We analytically show that incorporating the results of published replication studies will in general not lead to less bias in the estimated population effect size. We therefore conclude that mere replication will not solve the problem of overestimation of effect sizes. We will discuss the implications of our findings for interpreting results of published and unpublished studies, and for conducting and interpreting results of meta-analyses. We also discuss solutions for the problem of overestimation of effect sizes, such as discarding and not publishing small studies with low power, and implementing practices that completely eliminate publication bias (e.g., study registration).

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  • Clinical Cancer Research
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  • Sebastián García-Zamora + 7 more

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Effects of Urtica dioica on Metabolic Profiles in Type 2 Diabetes: A Systematic Review and Meta-analysis of Clinical Trials.
  • Feb 1, 2022
  • Mini-Reviews in Medicinal Chemistry
  • Ali-Asghar Kolahi + 12 more

Several studies have investigated the effect of Urtica dioica (UD) consumption on metabolic profiles in patients with type 2 diabetes mellitus (T2DM); however, the findings are inconsistent. This systematic review and meta-analysis of clinical trials were performed to summarize the evidence of the effects of UD consumption on metabolic profiles in patients with T2DM. Eligible studies were retrieved from searches of PubMed, Embase, Scopus, Web of Science, Cochrane Library, and Google Scholar databases until December 2019. Cochran (Q) and I-square statistics were used to examine heterogeneity across included clinical trials. Data were pooled using a fixed-effect or random-effects model and expressed as weighted mean difference (WMD) and 95% confidence interval (CI). Among 1485 citations, thirteen clinical trials were found to be eligible for the current metaanalysis. UD consumption significantly decreased levels of fasting blood glucose (FBG) (WMD = - 17.17 mg/dl, 95% CI: -26.60, -7.73, I2 = 93.2%), hemoglobin A1c (HbA1c) (WMD = -0.93, 95% CI: - 1.66, -0.17, I2 = 75.0%), C-reactive protein (CRP) (WMD = -1.09 mg/dl, 95% CI: -1.64, -0.53, I2 = 0.0%), triglycerides (WMD = -26.94 mg/dl, 95 % CI = [-52.07, -1.82], P = 0.03, I2 = 90.0%), systolic blood pressure (SBP) (WMD = -5.03 mmHg, 95% CI = -8.15, -1.91, I2 = 0.0%) in comparison to the control groups. UD consumption did not significantly change serum levels of insulin (WMD = 1.07 μU/ml, 95% CI: -1.59, 3.73, I2 = 63.5%), total-cholesterol (WMD = -6.39 mg/dl, 95% CI: -13.84, 1.05, I2 = 0.0%), LDL-cholesterol (LDL-C) (WMD = -1.30 mg/dl, 95% CI: -9.95, 7.35, I2 = 66.1%), HDL-cholesterol (HDL-C) (WMD = 6.95 mg/dl, 95% CI: -0.14, 14.03, I2 = 95.4%), body max index (BMI) (WMD = -0.16 kg/m2, 95% CI: -1.77, 1.44, I2 = 0.0%), and diastolic blood pressure (DBP) (WMD = -1.35 mmHg, 95% CI: -2.86, 0.17, I2= 0.0%) among patients with T2DM. UD consumption may result in an improvement in levels of FBS, HbA1c, CRP, triglycerides, and SBP, but did not affect levels of insulin, total-, LDL-, and HDL-cholesterol, BMI, and DBP in patients with T2DM.

  • Supplementary Content
  • Cite Count Icon 2
  • 10.7759/cureus.87049
Cardiovascular Toxicity Associated With Immune Checkpoint Inhibitors: Interpreting the Discrepancy Between Clinical Trials and Real-World Data
  • Jun 30, 2025
  • Cureus
  • Amalia Papanikolopoulou + 7 more

Real-world data on cardiovascular immune-related adverse events (CV-irAEs) in cancer patients treated with immune checkpoint inhibitors (ICIs) present findings that differ from those reported in meta-analyses of clinical trials. This study aims to estimate the incidence of CV-irAEs from observational studies among patients undergoing ICI therapy for various malignancies and investigate the discrepancy between the results of meta-analyses and observational studies. A systematic literature review and meta-analysis were conducted according to the Preferred Reporting Items for Systematic reviews and Meta-analyses (PRISMA) guidelines. The PubMed database was searched for observational studies that included cancer patients treated with ICIs. Α single-arm meta-analysis using the metaprop command in Stata Statistical Software: Release 16 (StataCorp LLC, College Station, Texas, United States) was performed for the following outcomes: myocarditis, pericardial disease, arrhythmias, cardiac failure, Takotsubo cardiomyopathy, ischemic heart disease, heart valve disease, venous thromboembolism and artery disease. ICI treatment agents were classified into three major classes: PD-1 inhibitors, PD-L1 inhibitors, CTLA4 inhibitors, or their combinations. Heterogeneity was quantified using the I2 statistic and small study effect, and potential publication bias was assessed by inspecting funnel plots, as well as by Egger’s test. A total of 42 studies were included. The incidence of CV-irAEs within the entire population undergoing treatment with ICIs was assessed as follows: total CV-irAEs: 8% (95% confidence interval (CI): 6%, 10%), arrhythmias: 18% (95%CI: 10%, 27%), myocarditis: 11% (95%CI: 5%, 18%), cardiac failure: 8% (95%CI: 2%, 15%), ischemic heart disease: 6% (95%CI: 3%, 11%), pericardial disease: 5% (95%CI: 1%, 10%), artery disease 5% (95%CI: 1%, 12%), and venous thromboembolism: 3% (95%CI: 0%, 8%); cardiomyopathy and heart valve disease had minimal number of observed episodes, thus the pooled incidence results are referring as zero, 0% (95%CI: 0%, 0%) and total CV deaths: 1% (95%CI: 0%, 3%). Median time to CV-irAEs was estimated at 119 days (interquartile range (IQR) 53-180). The most common CV-irAEs were arrhythmias, myocarditis, and cardiac failure with life-threatening complications. Data derived from meta-analyses of clinical trials in most cases indicated that the total incidence of CV-irAEs varied between 0.05% and 1.30%, while in large pharmacovigilance databases, it ranged from 0.125% to 6.7%. In our meta-analysis of post-market surveillance studies, higher estimates were obtained, which offer an insight into the long-term prevalence and outcomes for patients experiencing CV complications associated with ICIs. Longer follow-up period and different definitions of cardiotoxicity may account for the higher cardiotoxicity rates that seem to reflect an emerging threat.

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