binom.conf.interval {UCS} | R Documentation |

## Binomial Confidence Intervals

### Description

Computes confidence intervals for the success probability of a
binomial distribution efficiently. Unlike `binom.test`

, this
function can be applied to vectors.

### Usage

binom.conf.interval(k, size, limit=c("lower","upper"),
conf.level=0.05, one.sided=FALSE)

### Arguments

`k` |
a vector of non-negative integers. Each element represents
the number of successes out of `size` trials, i.e. the observed
value of a random variable with binomial distribution. |

`size` |
a vector of positive integers. Each element represents
the number of trials of a binomial distribution. |

`limit` |
if `"upper"` , the upper boundaries of the confidence
intervals are returned. If `"lower"` , the lower boundaries are
returned. Note that this works both for one-sided and for two-sided
confidence intervals. |

`conf.level` |
the required confidence level, or rather the
significance level of the corresponding binomial test (note that
this behaviour differs from the built-in `binom.test`
function). The default `conf.level=0.05` stands for 95% confidence. |

`one.sided` |
if `TRUE` , computes one-sided confidence
interval (either lower or upper, depending on the value of
`limit` ). If `FALSE` , a two-sided confidence interval is
computed (default). |

### Details

If `one.sided=TRUE`

, the underlying test is one-sided (with
alternative `"less"`

or `"greater"`

, depending on the
`limit`

parameter), and the non-trivial boundary of the
confidence interval is returned.

If `one.sided=FALSE`

, the underlying test is two-sided and
the requested boundary of the two-sided confidence interval is
returned. For efficiency reasons, the `binom.conf.interval`

function cheats a little and computes one-sided confidence intervals
with significance level `conf.level / 2`

.

### Value

A numeric vector with the requested boundary of confidence intervals
for the unknown success probabilities of binomial variables.

### See Also

`binom.test`

[Package

*UCS* version 0.5

Index]