# P-values of the binomial test for frequency counts (corpora)

### Description

This function computes the p-value of a binomial test for frequency counts. In the two-sided case, a fast approximation is used that may be inaccurate for small samples.

### Usage

1 2 | ```
binom.pval(k, n, p = 0.5,
alternative = c("two.sided", "less", "greater"))
``` |

### Arguments

`k` |
frequency of a type in the corpus (or an integer vector of frequencies) |

`n` |
number of tokens in the corpus, i.e. sample size (or an integer vector specifying the sizes of different samples) |

`p` |
null hypothesis, giving the assumed proportion of this type in the population (or a vector of proportions for different types and/or different populations) |

`alternative` |
a character string specifying the alternative
hypothesis; must be one of |

### Details

When `alternative`

is `two.sided`

, a fast approximation of the
two-sided p-value is used (multiplying the appropriate single-sided tail
probability by two), which may be inaccurate for small samples. Unlike
the exact algorithm of `binom.test`

, this implementation can
be applied to large frequencies and samples without a serious impact on
performance.

### Value

The p-value of a binomial test applied to the given data (or a vector of p-values).

### Author(s)

Stefan Evert

### See Also

`z.score.pval`

, `prop.cint`

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