I was recently taking a look at some political projections (similar to the ones published by 538), and I am wondering about a particular function used to calculate the likelihood of a given party winning a political district. The function $F(p)$, defined as $$F(p) = \frac{1}{1 + e^{-0.2809 \cdot p}},$$ where $p \in [-100,100]$ is the Cook's PVI. Is this type of function – that is, one of the form $f(x) = \frac{1}{1+e^{cx}}$ – commonly used for predicting outcomes like this?
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$\begingroup$ See stats.stackexchange.com/questions/52825, then consider searching our site for threads about the logit function and logistic regression. $\endgroup$– whuber ♦Commented Jan 17, 2020 at 4:06
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