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. Author manuscript; available in PMC: 2020 Jan 1.
Published in final edited form as: Struct Equ Modeling. 2018 Sep 11;26(1):94–109. doi: 10.1080/10705511.2018.1506925

Table 1.

Summary of Mediation Models and Sensitivity Analysis

Type of Mediation Model Used in Analysis
Study Sensitivity analysis Effect sizes for sensitivity perameter One mediator Two parallel mediators Sequential mediators Statistical moduling
Single level (independent) data
Cox et al.(2013) Yes Yes X→M→Y SEM
Daniel et al. (2015) Yes X→M1→M2→M3→Y
Harring et al. (2017) Yes No X→M→Y X→M1→M2→Y SEM
Imai, Keele, & Tingley (2010) Yes Yes X→M→Y GLM
Imai and Yamamato (2013) Yes Yes X→(M1⊥M2)→Y X→M1→M2→Y GLM
Velante et al. (2017) Yes Yes X→M→Y SEM
Multilevel (correlated) data
Bind et al. (2016) No Within X→M→Y Generalized mixed model
Talloen et al. (2016) Yesa Yes Within X→M→Y Fixed effects and Linear mixed model
Tofighi and Kelly (2016) Yes Yes Both Between and Within X→M→Y SEM
Current study Yes Yes BetweenX→(M1↔M2)→Y SEM

Note. GLM= generalized linear model; SEM=structural equation model. X, M, and Y denote independent, mediator, and outcome variables. The parentheses around the mediators identify parallel mediators. Symbol ⊥ indicates that the parallel mediators are independent and symbol ↔ indicates the parallel mediators are correlated.

a

Used sensitivity analysis by Imai et al. (2010).