Question: Let yi be a bin(1, ????i) variate, i = 1,,N. For the model logit(????i) = ????0 + ????1xi, show that the deviance depends on ????i
Let yi be a bin(1, ????i) variate, i = 1,…,N. For the model logit(????i) = ????0 + ????1xi, show that the deviance depends on ̂????i but not yi. Hence, it is not useful for checking model fit. (This exercise and the previous one show that goodnessof-fit statistics are uninformative for ungrouped data.)
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