Binomial model

Description

The binomial model is a model of counts of binary outcomes in sets of trials.

Definition

For counts of successes $y$, number of trials $N$ and predictors $x$, the model is:

$$\begin{array}{r}{y}_i\sim \text{Binomial}(N_i,\exp ({\eta }_i))\\ {\eta }_i=\alpha +\beta \cdot x_i\end{array}$$

Where $y_i$ is the number of successes and $N_i$ is the number of trials for observation $i$.

Parameters needing priors

• $\alpha$ (intercept)
• $\beta$ (predictor weights)

See also

• Distribution explorer
• Stan Functions Reference