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Table 3 Differences between theoretic and estimated penetrance functions (models representing a masking effect of the genetic factor)

From: Artificial neural networks modeling gene-environment interaction

   

High risk scenario

  

Low risk scenario

 
  

Neural network

Logistic regression

Logistic regression (DV)

Neural network

Logistic regression

Logistic regression (DV)

   

n = 1000 + 1000

  

n = 1000 + 1000

 
 

Model 1

38.63

211.62

105.83

41.07

195.15

87.57

g u E g u

Model 2

117.94

359.10

155.40

101.92

323.89

114.71

Model 3

40.67

253.01

85.51

43.15

258.19

65.87

 

Model 4

103.37

228.10

85.16

103.63

227.50

59.74

   

n = 500 + 500

  

n = 500 + 500

 
 

Model 1

54.58

219.39

136.26

70.40

207.97

140.74

g u E g u

Model 2

144.35

363.36

176.74

183.28

327.58

143.06

Model 3

60.98

261.86

110.93

66.25

278.61

114.68

 

Model 4

143.62

235.44

102.13

115.59

237.14

81.13

   

n = 200 + 200

  

n = 200 + 200

 
 

Model 1

126.56

252.88

251.70

192.47

244.17

225.63

g u E g u

Model 2

262.92

371.69

230.25

297.68

348.46

215.70

Model 3

139.27

324.55

215.12

141.28

328.64

191.61

 

Model 4

189.69

287.39

169.86

164.13

280.21

149.95

  1. Sum of mean absolute differences between theoretic and estimated penetrance function for 100 case-control data sets in the low and high risk scenario for different sample sizes. Bold numbers mark the best model fit comparing neural networks and logistic regression models. DV = design variables.