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C Library Functions  - norplt (3)

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NAME

norplt(3f) - [M_datapac:LINE_PLOT] generate a normal probability plot

CONTENTS

Synopsis
Description
Options
Examples
Author
Maintainer
License
References

SYNOPSIS

SUBROUTINE NORPLT(X,N)

DESCRIPTION

norplt(3f) generates a normal (gaussian) probability plot.

the prototype normal distribution used herein has mean = 0 and standard deviation = 1. this distribution is defined for all x and has the probability density function

       f(x) = (1/sqrt(2*pi)) * exp(-x*x/2).

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 normal 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 normal distribution.

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_norplt
   use M_datapac, only : norplt
   implicit none
   ! call norplt(x,y)
   end program demo_norplt

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	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	FILLIBEN, ’THE PROBABILITY PLOT CORRELATION COEFFICIENT TEST FOR NORMALITY’, TECHNOMETRICS, 1975, pages 111-117. o RYAN AND JOINER, ’NORMAL PROBABILITY PLOTS AND TESTS FOR NORMALITY’ PENNSYLVANIA STATE UNIVERSITY REPORT. o HAHN AND SHAPIRO, STATISTICAL METHODS IN ENGINEERING, 1967, pages 260-308. o JOHNSON AND KOTZ, CONTINUOUS UNIVARIATE DISTRIBUTIONS--1, 1970, pages 40-111.

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Nemo Release 3.1

norplt (3)

February 23, 2025

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