For fitting the model to the data with binary responses (Y) and continuous predictor (X) one plotted estimated probabilities and now has to decide on a link function. What links should give the best...

For fitting the model to the data with binary responses (Y) and continuous predictor (X) one plotted estimated probabilities and now has to decide on a link function. What links should give the best model fit if the data approach 0 and 1 at the similar rate, different rates, etc. Discuss similarities and differences of the links.