binom.power {binom} R Documentation

## Power curves for binomial parameterizations

### Description

Uses Wald statistics to compute power curves for several parameterizations.

### Usage

```binom.power(p.alt,
n = 100,
p = 0.5,
alpha = 0.05,
phi = 1,
alternative = c("two.sided", "greater", "less"),
method = c("cloglog", "logit", "probit", "asymp", "lrt", "exact"))
```

### Arguments

 `p.alt` A vector of success probabilities under the alternative hypothesis. `n` A vector representing the number of independent trials in the binomial experiment. `p` A vector of success probabilities under the null hypothesis. `alpha` A vector of type-I error rates. `phi` A vector determining the overdispersion parameter for each binomial experiment. `alternative` Type of alternative hypothesis. `method` The method used to compute power.

### Details

For derivations see doc/binom.pdf. `p.alt`, `n`, `p`, `alpha`, and `phi` can all be vectors. The length of each argument will be expanded to the longest length. The function assumes the lengths are equal or can be wrapped for multiple values.

### Value

The estimated probability of detecting the difference between `p.alt` and `p`.

### Author(s)

Sundar Dorai-Raj (sdorairaj@gmail.com)

`binom.confint`, `binom.bayes`, `binom.logit`, `binom.probit`, `binom.coverage`
```binom.power(0.95, alternative = "greater")