A parametric meta‐analysis
Year: 2019
Type: article
Study design: Systematic Review
Abstract: In a meta-analysis, we assemble a sample of independent, nonidentically distributed p-values. The Fisher's combination procedure provides a chi-squared test of whether the p-values were sampled from the null uniform distribution. After rejecting the null uniform hypothesis, we are faced with the problem of how to combine the assembled p-values. We first derive a distribution for the p-values. The distribution is parameterized by the standardized mean difference (SMD) and the sample size. It includes the uniform as a special case. The maximum likelihood estimate (MLE) of the SMD can then be obtained from the independent, nonidentically distributed p-values. The MLE can be interpreted as a weighted average of the study-specific estimate of the effect size with a shrinkage. The method is broadly applicable to p-values obtained in the maximum likelihood framework. Simulation studies show that our method can effectively estimate the effect size with as few as 6 p-values in the meta-analyses. We also present a Bayes estimator for SMD and a method to account for publication bias. We demonstrate our methods on several meta-analyses that assess the potential benefits of citicoline for patients with memory disorders or patients recovering from ischemic stroke.
Source: Statistics in Medicine
DOI: 10.1002/sim.8278
Authors: Chang Yu, Daniel Zelterman
Institutions: Vanderbilt University Medical Center, Yale University
Language: English
Subfield: Statistics, Probability and Uncertainty
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
Funders: Vanderbilt University, Georgia Clinical and Translational Science Alliance, National Institutes of Health, U.S. Food and Drug Administration, National Heart, Lung, and Blood Institute, National Cancer Institute, National Institute of Environmental Health Sciences, National Center for Chronic Disease Prevention and Health Promotion, National Center for Advancing Translational Sciences
Awards: Statistical Methods for Recurrent Event Data in RSV Immunoprophylaxis Studies, The Vanderbilt Institute for Clinical and Translational Research (VICTR), G2056836485, Bifunctional Antibodies for Melanoma Therapy, G3005280089, Hormonal, Metabolic and Signaling Interactions in PAH, G3830242298, G5348598380, Cell-Penetrating Anti-DNA Antibody for Radiosensitization and Cancer Therapy, Personalized Prevention of Colorectal Cancer, Oncometabolites, DNA Repair, and Cancer, Yale SPORE in Lung Cancer (YSILC): The Biology and Personalized Treatment of Lung Cancer, Cancer Center Support Grant
OpenAlex ID: W2952964338