internal function for generating cardinal ranks

cardinalize(x)

Arguments

x

input vector

Value

returns new vector of cardinal rank scores

Details

converts raw Elo scores into predicted number of individuals beaten (using Equation 1 from paper)

subtracting .5 is equivalent to removing the prob of winning against oneself because 1/(1 + exp(-0.01*0)) = 1/(1 + exp(0)) = 1/(1 + 1) = 1/2