asa226


asa226, a C code which evaluates the cumulative distribution function (CDF) of the noncentral Beta Distribution, by Russell Lenth.

This is Applied Statistics Algorithm 226.

The program can produce reasonably accurate answers for values of the noncentrality parameter up to about 100.

Note that an improvement to the code was suggested by Frick, and implemented in the online copy available through STATLIB. When I run the improved copy, the computation fails. Therefore, the version I have put together has suppressed the improvement for now until I can determine the stray minus sign or logic error causing the problem.

Licensing:

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

Languages:

asa226 is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version

Related Data and Programs:

asa063, a C code which evaluates the incomplete Beta function.

asa109, a C code which inverts the incomplete Beta function.

asa226_test

asa310, a C code which computes the CDF of the noncentral Beta distribution.

beta_nc, a C code which evaluates the CDF of the noncentral Beta distribution.

prob, a C code which evaluates and inverts a number of probabilistic distributions.

test_values, a C code which contains sample values for a number of distributions.

toms179, a C code which evaluates the incomplete Beta function.

Author:

Original FORTRAN77 version by Russell Lenth; C version by John Burkardt.

Reference:

  1. H Frick,
    Algorithm AS R84: A Remark on Algorithm AS 226: Computing Noncentral Beta Probabilities,
    Applied Statistics,
    Volume 39, Number 2, 1990, pages 311-312.
  2. Russell Lenth,
    Algorithm AS 226: Computing Noncentral Beta Probabilities,
    Applied Statistics,
    Volume 36, Number 2, 1987, pages 241-244.

Source Code:


Last revised on 31 May 2019.