Link functions

A collection of common link functions, for calculating the link_variance of the potential impact fraction.

Usage

logit(pif)

log_complement(pif)

hawkins(pif)

Arguments

pif

The value of a potential impact fraction or a population attributable fraction

Details

The functions programmed are as follows

$$ \text{logit}(\text{PIF}) = \ln\Bigg(\dfrac{ \text{PIF} }{ 1 - \text{PIF} }\Bigg), $$

$$ \text{log-complement}(\text{PIF}) = \ln\big(1 - \text{PIF}\big), $$

and

$$ \text{Hawkins}(\text{PIF}) = \ln\Big(\text{PIF} + \sqrt{\text{PIF}^2 + 1}\Big). $$

Note

When used, the link_variance is calculated for linkfun(pif).

See also

inv_linkfuns for their inverses and deriv_linkfuns for their derivatives