dnoncenhypergeom {MCMCpack}R Documentation

Evaluate Density of Noncentral Hypergeometric Distribution

Description

This function evaluates the density of the the Noncentral Hypergeometric distribution at a single point or all points.

Usage

dnoncenhypergeom(x=NA, n1, n2, m1, psi)

Arguments

x The location to evaluate the density. If x is NA, then a matrix is returned with the density evaluated at all possible points.
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.

Details

The Noncentral Hypergeometric is particularly useful for conditional inference for (2 x 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.

Value

The density evaluated 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.

Source

L. 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.

See Also

rnoncenhypergeom

Examples

  dnoncenhypergeom(NA, 500, 500, 500, 6.0)

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