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. 2022 Aug 3;192(1):84–92. doi: 10.1093/aje/kwac144

Table 3.

Specifications of the Intuitive Parameters for the Numerical Studies, Cases Inline graphic and Inline graphic

Intuitive Parameters Notation Values
 Total effect TE Inline graphic , Inline graphic, Inline graphic, Inline graphic, Inline graphic
 Mediation proportion MP 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9
 Prevalence of the outcome Inline graphic 1%, 2%, 4%, 8%, 16%, 32%
 Prevalence of the exposure Inline graphic 10%, 30%, 50%, 70%, 90%
Case Inline graphic-specific parameters
 Expectation of mediatora Inline graphic 0
 Variance of mediatora Inline graphic 1
 Correlation of the mediator and exposure Inline graphic Inline graphic , Inline graphic, Inline graphic, Inline graphic
Case Inline graphic-specific parameters
 Prevalence of the mediator Inline graphic 10%, 30%, 50%, 70%, 90%
 Odds ratio of the exposure on mediator Inline graphic 1/2, 1/1.8, 1/1.6, 1/1.4, 1/1.2, 1.2, 1.4, 1.6, 1.8, 2.0

Abbreviations: ARE, asymptotic relative efficiency; MP, mediation proportion; OR, odds ratio; TE, total effect.

aBecause the expectation and variance of the mediator does not affect the ARE (Web Appendix 2.5), without loss of generality, we fixed the expectation and variance of the mediator at 0 and 1, respectively.