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Derek Wilus 1 Article
The bounds of meta-analytics and an alternative method
Ramalingam Shanmugam, Mohammad Tabatabai, Derek Wilus, Karan P. Singh
Epidemiol Health. 2024;46:e2024016.   Published online January 7, 2024
DOI: https://doi.org/10.4178/epih.e2024016
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AbstractAbstract AbstractSummary PDFSupplementary Material
Abstract
OBJECTIVES
Meta-analysis is a statistical appraisal of the data analytic implications of published articles (Y), estimating parameters including the odds ratio and relative risk. This information is helpful for evaluating the significance of the findings. The Higgins I2 index is often used to measure heterogeneity among studies. The objectives of this article are to amend the Higgins I2 index score in a novel and innovative way and to make it more useful in practice.
METHODS
Heterogeneity among study populations can be affected by many sources, including the sample size and study design. They influence the Cochran Q score and, thus, the Higgins I2 score. In this regard, the I2 score is not an absolute indicator of heterogeneity. Q changes by bound as Y increases unboundedly. An innovative methodology is devised to show the conditional and unconditional probability structures.
RESULTS
Various properties are derived, including showing that a zero correlation between Q and Y does not necessarily mean that they are independent. A new alternative statistic, S2, is derived and applied to mild cognitive impairment and coronavirus disease 2019 vaccination for meta-analysis.
CONCLUSIONS
A hidden shortcoming of the Higgins I2 index is overcome in this article by amending the Higgins I2 score. The usefulness of the proposed methodology is illustrated using 2 examples. The findings have potential health policy implications.
Summary
Key Message
An approach to overcome the hidden shortcomings of Higgens I2 in meta-analysis. The approach has potential health policy implications.

Epidemiol Health : Epidemiology and Health