A Generalized Linear Model for Binomial Response Data
Now suppose that instead of a Bernoulli response, we have a binomial response for each unit in an experiment or an observational study. As an example, consider the trout data set discussed on page 669 of The Statistical Sleuth, 3rd edition, by Ramsey and Schafer. Five doses of toxic substance were assigned to a
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A Generalized Linear Model for Bernoulli Response Data
dnett.github.ioFor Generalized Linear Models, Fisher’s Scoring Method is typically used to obtain an MLE for , denoted as ˆ. Fisher’s Scoring Method is a variation of the Newton-Raphson algorithm in which the Hessian matrix (matrix of second partial derivatives) is replaced by its expected value (-Fisher Information matrix).
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