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Table 1.

Major assumptions of the main methods discussed in this article

Method Assumptions
IVW fixed effects All SNPs estimate the same causal effect Balanced pleiotropy InSIDE NOME
IVW random effects Balanced pleiotropy InSIDE NOME
MR-RAPS Balanced pleiotropy InSIDE
CAUSE Balanced pleiotropy Parametric model + priors
MR-Egger fixed effects All SNPs estimate the same causal effect InSIDE NOME
MR-Egger fixed effects + SIMEX All SNPs estimate the same causal effect InSIDE
MR-Egger random effects InSIDE NOME
MR-Egger random effects + SIMEX InSIDE
Bayesian model averaging InSIDE NOME
Median At least 50% of SNPs are valid instruments NOME
Mode ZEMPA NOME
MRMix ZEMPA NOME
Heterogeneity penalized ZEMPA NOME

(IVW) Inverse variance weighted, (SNPs) single-nucleotide polymorphisms, (InSIDE) instrument strength independent of direct pleiotropic effect, (NOME) no measurement error in the SNP-exposure effect, (MR-RAPS) Mendelian randomization-robust adjusted profile score, (ZEMPA) zero modal pleiotropy assumption, meaning that the mode of the direct pleiotropic effects is zero.