logLikExtHyp {CooccurrenceAffinity} | R Documentation |

## log of Extended Hypergeometric Likelihiood at (X, mA,mB,N, alpha)

### Description

This function calculates the logarithm of the Extended Hypergeometric likelihood at specified x and alpha, with marginal totals mA, mB, N fixed.

### Usage

```
logLikExtHyp(x, marg, alpha)
```

### Arguments

`x` |
integer co-occurrence count that should properly fall within the closed interval [max(0,mA+mB-N), min(mA,mB)] |

`marg` |
a 3-entry integer vector (mA,mB,N) consisting of the first row and column totals and the table total for a 2x2 contingency table |

`alpha` |
a real number, the log odds ratio or affinity parameter for the 2x2 contingency table |

### Details

This is simply the logarithm of the Extended Hypergeometric (Harkness 1965) or Fisher noncentral Hypergeometric, as calculated by the R package BiasedUrn. The formula is log(pFNCHypergeo(x,mA,N-mA,mB,exp(alpha))

### Value

scalar loglikelihood value

### Author(s)

Eric Slud

### References

Fog, A. (2015), BiasedUrn: Biased Urn Model Distributions. R package version 1.07.

Harkness, W. (1965), “Properties of the extended hypergeometric distribution“, Annals of Mathematical Statistics, 36, 938-945.

### Examples

```
require(BiasedUrn)
c(logLikExtHyp(30,c(50,80,120),1), log(dFNCHypergeo(30,50,70,80,exp(1))))
```

*CooccurrenceAffinity*version 1.0 Index]