Description Usage Arguments Details Value Examples

Calculate the uniformly most powerful unbiased (UMPU) two-tailed test for the binomial distribution.

1 | ```
umpu.binom(x, n, p, alpha, maxiter = 10, tol = 1e-9)
``` |

`x` |
binomial observations. |

`n` |
number of observations. |

`p` |
the success probability under the null hypothesis. |

`alpha` |
the significance level. |

`maxiter` |
the maximum number of iterations allowed. |

`tol` |
tolerance used in testing floating point numbers. |

At most one of `x`

, `p`

, and `alpha`

is allowed to be
a vector. Evaluates the critical function for the UMPU two-tailed
test for the binomial distribution, which satisfies the following

1 2 3 4 5 6 | ```
x <- seq(0, n)
phix <- umpu.binom(x, n, p, alpha)
px <- dbinom(x, n, p)
sum(phix * px) == alpha
sum(x * phix * px) == n * p * alpha
``` |

when `p`

is strictly between zero and one.

a vector of values of the critical function.

1 2 | ```
library(ump)
umpu.binom(0:10, 10, 0.6, 0.1)
``` |

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.