Description Usage Arguments Details Value Note References Examples

View source: R/hypergeoquantile.R

This is an algorithm for efficient and exact calculation of hypergeometric quantiles using Chebyshev polynomials. For a fixed population size N and fixed sample size n, such calculations simultaneously produce quantiles of q for all possible values of the population number of "successes" M.

1 | ```
hypergeoquantile(q, N, n)
``` |

`q` |
probability, it must be between 0 and 1. |

`N` |
population size N. |

`n` |
sample size n. |

The detailed algorthim can be found: Alvo, M., & Cabilio, P. (2000). Calculation of hypergeometric probabilities using Chebyshev polynomials. The American Statistician, 54(2), 141-144.

a matrix containing all possible required values of the hypergeometric quantiles for q in row M=0,1,...,N.

N can be very large say 2000 in our algorthim.

Alvo, M., & Cabilio, P. (2000). Calculation of hypergeometric probabilities using Chebyshev polynomials. The American Statistician, 54(2), 141-144.

1 2 | ```
# Calculate the hypergeometric quantile for q=0.05, N=10, n=5.
hypergeoquantile(0.05,10,5)
``` |

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