# Definition: Beta-binomial data

**Index:**The Book of Statistical Proofs ▷ Statistical Models ▷ Frequency data ▷ Beta-binomial data ▷ Definition

**Definition:** Beta-binomial data are defined as a set of counts $y = \left\lbrace y_1, \ldots, y_N \right\rbrace$ with $y_i \in \mathbb{N}, \; i = 1,\ldots,N$, independent and identically distributed according to a beta-binomial distribution with number of trials $n$ as well as shapes $\alpha$ and $\beta$:

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**Metadata:**ID: D178 | shortcut: betabin-data | author: JoramSoch | date: 2022-10-20, 08:20.