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C Library Functions  - tppf (3)

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NAME

tppf(3f) - [M_datapac:PERCENT_POINT] computes the percent point function value for the student’s T distribution

CONTENTS

Synopsis
Description
Options
Examples
Author
Maintainer
License
References

SYNOPSIS

SUBROUTINE TPPF(P,Nu,Ppf)

DESCRIPTION

tppf(3f) computes the percent point function value for the student’s t distribution with integer degrees of freedom parameter = nu. the student’s t distribution used herein is defined for all x, and its probability density function is given in the references below.

note that the percent point function of a distribution is identically the same as the inverse cumulative distribution function of the distribution.

OPTIONS

X	description of parameter
Y	description of parameter

EXAMPLES

Sample program:

   program demo_tppf
   use M_datapac, only : tppf
   implicit none
   ! call tppf(x,y)
   end program demo_tppf

Results:

AUTHOR

The original DATAPAC library was written by James Filliben of the Statistical Engineering Division, National Institute of Standards and Technology.

MAINTAINER

John Urban, 2022.05.31

LICENSE

CC0-1.0

REFERENCES

o	National Bureau of Standards Applied Mathematics Series 55, 1964, page 949, Formula 26.7.5.
o	Johnson and Kotz, Continuous Univariate Distributions--2, 1970, page 102, Formula 11.
o	Federighi, ’Extended Tables of the Percentage Points of Student’s T Distribution, Journal of the American Statistical Association, 1969, pages 683-688.
o	Hastings and Peacock, Statistical Distributions--A Handbook for Students and Practitioners, 1975, pages 120-123.

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Nemo Release 3.1

tppf (3)

February 23, 2025

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