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Table 3 Power to detect Gene × Environment (G×E) interactions.

From: New directions in childhood obesity research: how a comprehensive biorepository will allow better prediction of outcomes

 

SAMPLE SIZE = 1000

SAMPLE SIZE = 2000

 

G×E interaction OR = 2

G × E interaction OR = 2

Allele frequency (%)

Binary environmental exposure prevalence (%)

Binary environmental exposure prevalence (%)

 

20

30

40

20

30

40

10

37.6%

45.8%

49.5%

64.2%

74.6%

78.6%

20

49.8%

58.9%

62.2%

79.0%

87.1%

89.4%

30

50.4%

58.7%

61.2%

79.6%

87.0%

88.7%

 

G × E interaction OR = 2.5

G × E interaction OR = 2.5

Allele frequency (%)

Binary environmental exposure prevalence

Binary environmental exposure prevalence

 

20

30

40

20

30

40

10

57.2%

67.9%

72.3%

85.7%

92.9%

95.0%

20

72.6%

81.7%

84.3%

95.2%

98.2%

98.7%

30

73.3%

81.3%

83.1%

95.5%

98.1%

98.5%

 

G × E interaction OR = 3

G × E interaction OR = 3

Allele frequency (%)

Binary environmental exposure prevalence

Binary environmental exposure prevalence

 

20

30

40

20

30

40

10

71.4%

81.9%

85.7%

94.7%

98.2%

99.0%

20

85.9%

92.5%

94.1%

99.0%

99.8%

99.9%

30

86.6%

92.2%

93.1%

99.1%

99.8%

99.8%

  1. OR = odds ratio. Disease prevalence is 25% throughout. Magnitude of associations between binary outcome and each of the gene and environmental risk factors are 1.6 throughout. Condition is assumed to be dominant throughout. Figures in bold represent scenarios where sufficient power for the study will be achieved.