I asked this question a while back and never found an answer.
After reading my multilevel book I realized the answer from the logit link reading:
This should take any real number between -Inf and Inf and transform it to between -1 and 1. I think. I came up with this (I'm sure others have already) so it may not be right.
How can I constrain a number to be between -1 and 1
((1 - (1/(1 + exp(x)))) * 2) - 1