C Library Functions - weiplt (3)
NAME
weiplt(3f) - [M_datapac:LINE_PLOT] generate a Weibull probability plot (line printer graph)
CONTENTS
Synopsis
Description
Options
Examples
Author
Maintainer
License
References
SYNOPSIS
SUBROUTINE WEIPLT(X,N,Gamma)
DESCRIPTION
WEIPLT(3f) generates a weibull probability plot (with tail length parameter value = GAMMA).The prototype weibull distribution used herein is defined for all positive X, and has the probability density function
f(x) = gamma * (x**(gamma-1)) * exp(-(x**gamma))As used herein, a probability plot for a distribution is a plot of the ordered observations versus the order statistic medians for that distribution.
The Weibull probability plot is useful in graphically testing the composite (that is, location and scale parameters need not be specified) hypothesis that the underlying distribution from which the data have been randomly drawn is the Weibull distribution with tail length parameter value = GAMMA.
If the hypothesis is true, the probability plot should be near-linear.
A measure of such linearity is given by the calculated probability plot correlation coefficient.
OPTIONS
X description of parameter Y description of parameter
EXAMPLES
Sample program:
program demo_weiplt use M_datapac, only : weiplt implicit none ! call weiplt(x,y) end program demo_weipltResults:
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 Filliben, ’Techniques for Tail Length Analysis’, Proceedings of the Eighteenth Conference on the Design of Experiments in Army Research Development and Testing (Aberdeen, Maryland, October, 1972), pages 425-450. o Hahn and Shapiro, Statistical Methods in Engineering, 1967, pages 260-308. o Johnson and Kotz, Continuous Univariate Distributions--1, 1970, pages 250-271.
| Nemo Release 3.1 | weiplt (3) | July 22, 2023 |
