ASA005
CDF of Noncentral T Distribution.

ASA005 is a MATLAB program which evaluates the lower tail of the noncentral T distribution, by BE Cooper.

ASA005 is Applied Statistics Algorithm 5. 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:

ASA005 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:

ASA076, a MATLAB library which evaluates the Owen's T function, needed to compute the CDF of the noncentral T distribution.

ASA243, a MATLAB library which evaluates the CDF of the noncentral T distribution.

OWENS, a MATLAB library which evaluates Owen's T function.

Author:

Original FORTRAN77 version by BE Cooper; MATLAB version by John Burkardt.

Reference:

1. BE Cooper,
   Algorithm AS 5: The Integral of the Non-Central T-Distribution,
   Applied Statistics,
   Volume 17, Number 2, 1968, page 193.

Source Code:

• alngam.m computes the logarithm of the gamma function.
• alnorm.m computes the cumulative density of the standard normal distribution.
• prncst.m computes lower tail of noncentral T distribution.
• student_noncentral_cdf_values.m returns values of the noncentral Student CDF.
• tfn.m calculates the T-function of Owen.
• timestamp.m prints out the current YMDHMS date as a timestamp.

Examples and Tests:

• asa005_test.m, a sample calling program.
• asa005_test01.m, tests PRNCST.
• asa005_test_output.txt, the output file.

You can go up one level to the MATLAB source codes.