A Parametric Meta-Analysis

Details

• Alternative Title:
  Stat Med
• Personal Author:
  Yu, Chang ; Zelterman, Daniel
• Description:
  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.
• Subjects:
  Bayes Theorem Computer Simulation Humans Likelihood Functions Meta-Analysis As Topic
• Keywords:
  Bayesian Estimator Buprenorphine Citicoline Distribution Of P-values Methadone Mortality Naltrexone Standardized Mean Difference Treatment
• Source:
  Stat Med. 38(21):4013-4025
• Pubmed ID:
  31206759
• Pubmed Central ID:
  PMC6688941
• Document Type:
  Journal Article
• Funding:
  P50-CA196530/GF/NIH HHSUnited States/ ; R01 ES005775/ES/NIEHS NIH HHSUnited States/ ; R21 HL129020/HL/NHLBI NIH HHSUnited States/ ; R01 FD004778/FD/FDA HHSUnited States/ ; R01 CA149633/CA/NCI NIH HHSUnited States/ ; KL2 TR000446/TR/NCATS NIH HHSUnited States/ ; U48 DP005023/DP/NCCDPHP CDC HHSUnited States/ ; P30 CA016359/CA/NCI NIH HHSUnited States/ ; R01 CA177719/CA/NCI NIH HHSUnited States/ ; P50 CA196530/CA/NCI NIH HHSUnited States/ ; R41-A120546/GF/NIH HHSUnited States/ ; P01 HL108800/HL/NHLBI NIH HHSUnited States/ ; R01 CA168733/CA/NCI NIH HHSUnited States/
• Volume:
  38
• Issue:
  21
• Collection(s):
  CDC Public Access
• Main Document Checksum:
  urn:sha-512:95e66bb900590c3680126fea446055d48ae3f8210a92ff9f63aa83220bf5ae245751d22bc22866e204fea7a12f4c4f4d6d8705274f88e364778387869bf5f755
• Download URL:
  https://stacks.cdc.gov/view/cdc/80611/cdc_80611_DS1.pdf
• File Type:
  [PDF - 816.35 KB ]