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Table 1 Power/False negative rate in different functions with Gaussian noise (The significance level α=0.05)

From: A general index for linear and nonlinear correlations for high dimensional genomic data

A∼Random(0,1)

α=0

α=0.3

α=0.5

α=0.7

α=1

B∼Random(0,1)

0.06

0.07

0.04

0.07

0.06

B=A+0.5N(0,1)

0.92

0.99

1

0.99

1

B=(A+1)2+0.5N(0,1)

0.97

1

0.99

1

1

B= sin(A)+0.5N(0,1)

0.90

0.98

0.98

0.98

0.99

B= exp(A)+0.5N(0,1)

0.83

0.96

0.99

1

1