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Table 1 Parameters specifications of the 9 simulation settings

From: Estimating the effect size of a hidden causal factor between SNPs and a continuous trait: a mediation model approach

Setting

πH

Know mediator effects

Sample size

Number of known mediators

Associations among mediators

Level 1 and Level 2 standard deviation ratios

Hidden mediator effect

Number of SNPs

Base case

0.8

(0.4, 0.2, 0.3, 0.2, 0.4)

100,000

5

Independent

0:1

Non-zero

70; 500

Setting 1

0.3; 0.5; 1

(0.4, 0.2, 0.3, 0.2, 0.4)

100,000

5

Independent

0:1

Non-zero

70; 500

Setting 2

0.8

(0.4, 0.2, 0.3, -0.2, -0.4)

100,000

5

Independent

0:1

Non-zero

70; 500

Setting 3

0.8

(0.4, 0.2, 0.3, 0.2, 0.4)

25,000; 50,000

5

Independent

0:1

Non-zero

70; 500

Setting 4

0.8

(0.4);

(0.4, 0.2, 0.3, 0.2, 0.4, 0.2, 0.1, 0.3, 0.2, 0.2)

100,000

1; 10

Independent

0:1

Non-zero

70; 500

Setting 5

0.8

(0.4, 0.2, 0.3, 0.2, 0.4)

100,000

5

M1- > (0.3) M2;

M1- > (0.9) M2;

M1- > (0.3) M2 and M3- > (0.2) M4;

M1- > (0.5) M2 and M3- > (0.4) M4

0:1

Non-zero

70; 500

Setting 6

0.8

(0.4, 0.2, 0.3, 0.2, 0.4)

100,000

5

Independent

1:3; 1:1

Non-zero

70; 500

Setting 7

/

(0.4, 0.2, 0.3, 0.2, 0.4)

100,000

5

Independent

0:1

Zero

70; 500

Setting 8

0.8

(0.4, 0.2, 0.3, 0.2, 0.4)

100,000

5

Independent

0:1

Non-zero

20; 40; 700

  1. Parameters separated by ";" belong to separate simulations