Meta-Analysis Framework for Exact Inferences with Application to the Analysis of Rare Events

Guang Yang · Dungang Liu · Junyuan Wang · Minge Xie

27 citations0/0 files storedBiometrics

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Meta-analysis and systematic reviews Probability and Statistical Research Statistical Methods in Clinical Trials

Abstract

The usefulness of meta-analysis has been recognized in the evaluation of drug safety, as a single trial usually yields few adverse events and offers limited information. For rare events, conventional meta-analysis methods may yield an invalid inference, as they often rely on large sample theories and require empirical corrections for zero events. These problems motivate research in developing exact methods, including Tian et al.'s method of combining confidence intervals (2009, Biostatistics, 10, 275-281) and Liu et al.'s method of combining p-value functions (2014, JASA, 109, 1450-1465). This article shows that these two exact methods can be unified under the framework of combining confidence distributions (CDs). Furthermore, we show that the CD method generalizes Tian et al.'s method in several aspects. Given that the CD framework also subsumes the Mantel-Haenszel and Peto methods, we conclude that the CD method offers a general framework for meta-analysis of rare events. We illustrate the CD framework using two real data sets collected for the safety analysis of diabetes drugs.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 27 citations exist upstream.

References

2004What to add to nothing? Use and avoidance of continuity corrections in meta‐analysis of sparse data 1999Meta-analysis: formulating, evaluating, combining, and reporting 1949The American soldier: Adjustment during army life. (Studies in social psychology in World War II), Vol. 1 1949Adjustment during army life 2008Why add anything to nothing? The arcsine difference as a measure of treatment effect in meta‐analysis with zero cells 2011Confidence Distributions and a Unifying Framework for Meta-Analysis 2008Exact and efficient inference procedure for meta-analysis and its application to the analysis of independent 2 x 2 tables with all available data but without artificial continuity correction 2014Multivariate Meta-Analysis of Heterogeneous Studies Using Only Summary Statistics: Efficiency and Robustness

Cited by

2022Should studies with no events in both arms be excluded in evidence synthesis?2017A Bayesian Meta-analysis Method for Estimating Risk Difference of Rare Events 2017Exact inference on meta-analysis with generalized fixed-effects and random-effects models 2021Exact inference for fixed‐effects meta‐analysis of proportions

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.