ASA152
Hypergeometric Probabilities.

ASA152 is a MATLAB program which computes the "point" or "cumulative" probabilities associated with the hypergeometric probability distribution, by Richard Lund.

ASA152 is Applied Statistics Algorithm 152. Source code for many Applied Statistics Algorithms is available through STATLIB.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

ASA152 is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version

Related Data and Programs:

DCDFLIB, a FORTRAN90 library which evaluates and inverts a number of statistical distributions.

GSL, a C++ library which includes many routines for evaluating probability distributions.

PROB, a MATLAB library which evaluates and inverts a number of probabilistic distributions.

TEST_VALUES, a MATLAB library which contains sample values for a number of distributions.

Author:

Original FORTRAN77 version by Richard Lund; Matlab version by John Burkardt.

Reference:

1. PR Freeman,
   Algorithm AS 59: Hypergeometric Probabilities,
   Applied Statistics,
   Volume 22, Number 1, 1973, pages 130-133.
2. Richard Lund,
   Algorithm AS 152: Cumulative hypergeometric probabilities,
   Applied Statistics,
   Volume 29, Number 2, 1980, pages 221-223.
3. BL Shea,
   Remark AS R77: A Remark on Algorithm AS 152: Cumulative hypergeometric probabilities,
   Applied Statistics,
   Volume 38, Number 1, 1989, pages 199-204.

Source Code:

• alnfac.m computes the logarithm of the factorial of N.
• alngam.m computes Log(Gamma(X)).
• alnorm.m computes the cumulative density of the standard normal distribution.
• chyper.m computes point or cumulative hypergeometric probabilities.
• hypergeomeric_cdf_values.m returns some values of the hypergeometric CDF.
• hypergeomeric_pdf_values.m returns some values of the hypergeometric PDF.
• timestamp.m prints out the current YMDHMS date as a timestamp.

Examples and Tests:

• asa152_test.m, a sample calling program.
• asa152_test01.m, tests CHYPER for cumulative probabilities.
• asa152_test02.m, tests CHYPER for point probabilities.
• asa152_test_output.txt, the output file.