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Table 3 Power and type I error assessment

From: Risk score modeling of multiple gene to gene interactions using aggregated-multifactor dimensionality reduction

A) Only Locus1*2 has an interaction

Model 1 (n=300)

Model 2 (n=300)

Model 3 (n=300)

Model 4 (n=300)

Power

Type I

Power

Type I

Power

Type I

Power

Type I

A-MDR pOR

1

0.01

1

0.01

0.75

0.01

1

0.03

A-MDR pRR

1

0

1

0.01

0.71

0.01

1

0.03

A-MDR pChi

1

0.01

1

0

0.86

0.03

1

0

MDR

1

0

1

0

0.46

0.02

1

0

A) Only Locus1*2 has an interaction

Model 1 (n=400)

Model 2 (n=400)

Model 3 (n=400)

Model 4 (n=400)

Power

Type I

Power

Type I

Power

Type I

Power

Type I

A-MDR pOR

1

0

1

0

0.86

0

1

0.02

A-MDR pRR

1

0

1

0

0.87

0

1

0.03

A-MDR pChi

1

0.02

1

0.01

0.95

0.01

1

0.02

MDR

1

0

1

0

0.68

0.01

1

0

B) Genetic heterogeneity γ 1 = γ 2 =0.5

Model 1

Model 2

Model 1

Model 2

Model 3

Model 4

Model 3

Model 4

n=400 Power

n=800 Power

n=400 Power

n=800 Power

A-MDR pOR

0.98

1

1

1

0.37

0.91

0.7

1

A-MDR pRR

0.99

1

1

1

0.35

0.78

0.68

1

A-MDR pChi

0.99

1

1

1

0.31

0.99

0.72

1

MDR

0.12

0.75

0.08

0.78

0

0.69

0

0.92

B) Genetic heterogeneity γ 1 =0.7,γ 2 =0.3

Model 1

Model 2

Model 1

Model 2

Model 3

Model 4

Model 3

Model 4

n=400 Power

n=800 Power

n=400 Power

n=800 Power

A-MDR pOR

1

0.35

1

0.98

0.55

0.35

0.92

0.78

A-MDR pRR

1

0.25

1

0.97

0.55

0.3

0.91

0.74

A-MDR pChi

1

0.5

1

0.99

0.6

0.49

0.96

0.86

MDR

1

0

0.99

0

0.14

0.21

0.14

0.38

C) Additive Models

Model 1

Model 2

Model 1

Model 2

Model 3

Model 4

Model 3

Model 4

n=400 Power

n=800 Power

n=400 Power

n=800 Power

A-MDR pOR

1

0.72

1

1

0.6

0.16

0.93

0.61

A-MDR pRR

1

0.69

1

0.98

0.61

0.14

0.91

0.55

A-MDR pChi

1

0.79

1

1

0.71

0.29

0.98

0.76

MDR

0.91

0.02

0.99

0.01

0.26

0.14

0.43

0.12

  1. (Within each cell, loci 1x2 is listed in the first column and loci 4x5 is in the second column).