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Logistic regression

For independent grouped counts $Y_i\sim\operatorname{Bin}(n_i,p_i)$, grouped-binomial logistic regression specifies
$$
\log\frac{p_i}{1-p_i}=x_i^T\beta.
$$
Fitting the proportions $Y_i/n_i$ with binomial weights $n_i$ gives the same likelihood.


Grouped-binomial logistic regression

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Grouped-binomial logistic regression

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Grouped-binomial logistic regression

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