Description Usage Arguments Value Note Examples

Random generation for the K distribution on `df`

degrees of freedom having non-centrality parameter `ncp`

.

A K distribution is the square root of a chi-square divided by its degrees of freedom. That is, if x is chi-squared on m degrees of freedom, then y = sqrt(x/m) is K on m degrees of freedom. Under standard normal theory, K is the distribution of the pivotal quantity s/sigma where s is the sample standard deviation and sigma is the standard deviation parameter of the normal density. K is the natural distribution for tests and confidence intervals about sigma. K densities are more nearly symmetric than are chi-squared and concentrate near 1. As the degrees of freedom increase, they become more symmetric, more concentrated, and more nearly normally distributed.

1 |

`n` |
Number of observations. If |

`df` |
Degrees of freedom (non-negative, but can be non-integer). |

`ncp` |
Non-centrality parameter (non-negative). |

`rkay`

returns pseudo-randomly generated values.

Invalid arguments will result in return value NaN, with a warning.

Depends on call to analogous chi-squared functions. See `rchisq`

for details on non-centrality parameter calculations.

1 2 3 4 5 6 7 8 9 10 11 12 | ```
x <- rkay(100, 20)
hist(x, main="100 observations from a K(20)")
# Certainly looks like it comes from a K on 20
qqtest(x, dist="kay",df=20)
# for this many degrees of freedom it looks
# a lot like a gaussian (normal) distribution
qqtest(x, dist="gau",df=1)
# But not like it came from a K on 1 degree of freedom
qqtest(x, dist="kay",df=1)
#
# See the vignette for more on the "K-distribution"
#
``` |

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.