
JSBPPFName:
where is the probability density function of the standard normal distribution and and are shape parameters. The Johnson SB percent point function does not exist in simple closed form. It is computed numerically using a bisection method.
where <p> is a number, parameter, or variable containing values between 0 and 1; <y> is a variable or a parameter (depending on what <x> is) where the computed Johnson SB ppf values are stored; <alpha1> is a number, parameter, or variable that specifies the first shape parameter; <alpha2> is a number, parameter, or variable that specifies the second shape parameter; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
LET A = JSBPPF(P1,1.5,3) LET Y = JSBPPF(P,2,6) PLOT JSBPPF(P,0.8,2) FOR P = 0.01 0.01 0.99
LET ALPHA1 = DATA 0.5 0.5 0.5 1 1 1 2 2 2 LET ALPHA2 = DATA 0.5 1 2 0.5 1 2 0.5 1 2 . MULTIPLOT 3 3 MULTIPLOT CORNER COORDINATES 0 0 100 95 LOOP FOR K = 1 1 9 LET A1 = ALPHA1(K) LET A2 = ALPHA2(K) X1LABEL ALPHA1 = ^A1, ALPHA2 = ^A2 PLOT JSBPPF(P,A1,A2) FOR P = 0.01 0.01 0.99 END OF LOOP END OF MULTIPLOT . MOVE 50 97 HEIGHT 3 JUSTIFICATION CENTER TEXT JOHNSON SB PERCENT POINT FUNCTIONS
Date created: 11/20/2001 