Table 4 Simulation in which pleiotropic pathways are concentrated on only a subset of variants.

From: Robust Mendelian randomization in the presence of residual population stratification, batch effects and horizontal pleiotropy

 

Proportion of rejections of the null (α = 5%)

Critical k

RVα=0.05

# of valid variants

IVW

PRESSO

Egger

GENIUS

MBE

Mix

5th

95th

5th

95th

20

100%

100%

99%

100%

88%

67%

0

0.9

0%

0.5%

40

100%

100%

99%

100%

91%

60%

0

0.9

0%

0.4%

60

99%

99%

98%

100%

87%

56%

0

0.9

0%

0.3%

80

57%

56%

68%

100%

55%

25%

0

0.7

0%

0.1%

90

4.3%

4.6%

3.5%

100%

0.5%

2.1%

0

0

0%

0

  1. Sample size of 450,000 and τ = 0. All methods are run with default parameter choices.
  2. RV Robustness Value.