Question: Consider binary GLM F1(????i) = ????0 + ????1xi, where F is a cdf corresponding to a pdf f that is symmetric around 0. Show that

Consider binary GLM F−1(????i) = ????0 + ????1xi, where F is a cdf corresponding to a pdf f that is symmetric around 0. Show that xi at which ????i = 0.50 is xi = −????0∕????1. Show that the rate of change in ????i when ????i = 0.50 is ????1f(0), and find this for the logit and probit links. What does this suggest about relative magnitudes of estimates in logistic and probit models?

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