The inverse link function for the softmax. This function
takes the group-wise probabilities, \(\mu\), and computes
the expected ranks within each group under the Harville
model. That is, it is a groupwise computation of
the erank function.
Usage
harsm_invlink(eta, mu = smax(eta, g), g = NULL)
Arguments
eta
a vector of the odds.
Must be the same length as g if g is given.
mu
a vector of the probabilities. Should sum to one,
at least per group.
Should be the same size as g if given.
If both mu and eta are given, a warning
is issued, and the mu is used.
g
a vector giving the group indices. If NULL,
then we assume only one group is in consideration.