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Table 1 Type I errors for four GSA methods: LCT, LCT 2 , SAM-GS and Global-Test

From: Linear combination test for gene set analysis of a continuous phenotype

Type I

0.005

0.01

0.05

n

10

10

10

p

20

20

20

p1 = p2

5

5

5

Method

ρ = 0.0

ρ = 0.3

ρ = 0.6

ρ = 0.9

ρ = 0.0

ρ = 0.3

ρ = 0.6

ρ = 0.9

ρ = 0.0

ρ = 0.3

ρ = 0.6

ρ = 0.9

LCT

.005

.003

.003

.002

.012

.012

.008

.009

.045

.049

.044

.052

LCT2

.006

.007

.004

.003

.013

.013

.009

.009

.048

.057

.048

.046

SAMGS

.004

.005

.006

.004

.014

.012

.007

.008

.044

.051

.048

.050

Global

.007

.008

.011

.011

.013

.019

.0117

.015

.053

.052

.054

.053

n

20

20

20

p

100

100

100

p1 = p2

20

20

20

Method

ρ = 0.0

ρ = 0.3

ρ = 0.6

ρ = 0.9

ρ = 0.0

ρ = 0.3

ρ = 0.6

ρ = 0.9

ρ = 0.0

ρ = 0.3

ρ = 0.6

ρ = 0.9

LCT

.010

.009

.010

.010

.012

.014

.014

.016

.056

.053

.051

.058

LCT2

.011

.011

.009

.007

.014

.017

.017

.014

.056

.055

.055

.054

SAMGS

.010

.011

.010

.007

.012

.017

.018

.014

.056

.053

.052

.051

Global

.004

.004

.005

.006

.010

.005

.006

.012

.033

.041

.043

.052

n

50

50

50

p

200

200

200

p1 = p2

40

40

40

Method

ρ = 0.0

ρ = 0.3

ρ = 0.6

ρ = 0.9

ρ = 0.0

ρ = 0.3

ρ = 0.6

ρ = 0.9

ρ = 0.0

ρ = 0.3

ρ = 0.6

ρ = 0.9

LCT

.010

.010

.010

.011

.016

.016

.015

.015

.057

.055

.051

.053

LCT2

.008

.010

.011

.008

.016

.016

.017

.013

.053

.058

.049

.059

SAMGS

.010

.008

.011

.009

.015

.015

.015

.019

.056

.057

.051

.050

Global

.004

.004

.004

.001

.009

.012

.012

.010

.040

.059

.052

.051

n

100

100

100

p

400

400

400

p1 = p2

60

60

60

Method

ρ = 0.0

ρ = 0.3

ρ = 0.6

ρ = 0.9

ρ = 0.0

ρ = 0.3

ρ = 0.6

ρ = 0.9

ρ = 0.0

ρ = 0.3

ρ = 0.6

ρ = 0.9

LCT

.008

.006

.003

.005

.012

.010

.010

.007

.049

.046

.043

.034

LCT2

.009

.006

.004

.004

.012

.011

.011

.010

.055

.054

.042

.034

SAMGS

.006

.007

.005

.008

.012

.009

.010

.011

.047

.050

.047

.040

Global

.002

.003

.003

.002

.009

.005

.007

.006

.056

.036

.034

.034