Pearson's correlation between two binary outcomes takes values between two bounds defined according to the probabilities of the binary outcomes.
This function calculates the lower bound of the correlation based on the probabilities of two binary outcomes.

lower_corr(p_e1, p_e2)

## Arguments

p_e1 |
numeric parameter, probability of the event E1 |

p_e2 |
numeric parameter, probability of the event E2 |

## Value

Returns the minimum value that the correlation between the two outcomes can take.

## Details

lower_corr returns a numeric value between -1 and 0.

## Examples

CompAREdesign::lower_corr(p_e1=0.1, p_e2=0.6)

#> [1] -0.4082483