EV2PLT SUBROUTINE EV2PLT(X,N,GAMMA) PURPOSE--This subroutine generates a extreme value type 2 probability plot (with tail length parameter value = GAMMA). The prototype extreme value type 2 distribution used N herein is defined for all non-negative 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 extreme value type 2 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 extreme value type 2 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. INPUT ARGUMENTS--X = The single precision vector of (unsorted or sorted) observations. --N = The integer number of observations in the vector X. --GAMMA = The single precision value of the tail length parameter. GAMMA should be positive. OUTPUT--A one-page extreme value type 2 porbability plot. PRINTING--Yes. RESTRICTIONS--The maximum allowable value of N for this subroutine is 7500. --GAMMA should be positive. OTHER DATAPAC SUBROUTINES NEEDED--SORT, UNIMED, PLOT. FORTRAN LIBRARY SUBROUTINES NEEDED--SQRT, ALOG. MODE OF INTERNAL OPERATIONS--Single Precision. LANGUAGE--ANSI FORTRAN. REFERENCES--Filliben, 'Techniques for Tail Length Analysis', Proceedings of the Eighteenth Conference on the Design of Experiments Army Research Development and Testing (Aberdeen, Maryland, October, 1972), Pages 425-450. --Hahn and Shaprio, Statistical Methods in Engineering, 1967, Pages 260-308. --Johnson and Kotz, Continuous Univariate Distributions--1, 1970, Pages 272-295. WRITTEN BY--James J. Filliben Statistical Engineering Laboratory (205.03) National Bureau of Standards Gaithersburg, MD 20899 Phone-- 301-921-2315 ORIGINAL VERSION--December 1972. UPDATED --September 1975. UPDATED --November 1975. UPDATED --February 1976.