The Noncentral Hypergeometric Distribution
Evaluates the density at a single point or all points, and generate random draws from the Noncentral Hypergeometric distribution.
dnoncenhypergeom(x = NA, n1, n2, m1, psi) rnoncenhypergeom(n, n1, n2, m1, psi)
x |
The location to evaluate the density. If |
n1 |
The size of group one. |
n2 |
The size of group two. |
m1 |
The observed number of positive outcomes (in both groups). |
psi |
Odds ratio. |
n |
The number of draws to make from the distribution. |
The Noncentral Hypergeometric is particularly useful for conditional inference for (2 \times 2) tables. We use the parameterization and algorithms of Liao and Rosen (2001). The underlying R code is based on their published code. See their article for details of the parameterization.
dnoncenhypergeom evaluates the density at point x, or
a matrix with the first column containing the possible values of the random
variable, and the second column containing the probabilities.
rnoncenhypergeom returns a list of n random draws from the
distribution.
J. G. Liao and Ori Rosen. 2001. “Fast and Stable Algorithms for Computing and Sampling From the Noncentral Hypergeometric Distribution." The American Statistician. 55: 366-369.
density <- dnoncenhypergeom(NA, 500, 500, 500, 6.0) draws <- rnoncenhypergeom(10, 500, 500, 500, 6.0)
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