Question: When 1(????i) = ????0 + ????1xi, explain why the response curve for ????i [or for 1 ????i, when ????1 < 0] has the appearance
When Φ−1(????i) = ????0 + ????1xi, explain why the response curve for ????i [or for 1 − ????i, when ????1 < 0] has the appearance of a normal cdf with mean ???? =
−????0∕????1 and standard deviation ???? = 1∕|????1|. By comparison, explain why the logistic regression curve for ????i has mean ???? = −????0∕????1 and standard deviation
????∕|????1|
√
3. What does this suggest about relative magnitudes of estimates in logistic and probit models?
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