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student_t.pro
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1997-07-08
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; $Id: student_t.pro,v 1.2 1997/01/15 04:02:19 ali Exp $
;
; Copyright (c) 1991-1997, Research Systems Inc. All rights
; reserved. Unauthorized reproduction prohibited.
function student_t , a1, DF
;+
; NAME:
; STUDENT_T
;
; PURPOSE:
; STUDENT_T returns the cutoff value v such that
;
; Probability(X > v) = a1
;
; where X is a random variable from the Student t's distribution with
; DF degrees of freedom.
;
; CATEGORY:
; Statistics.
;
; CALLING SEQUENCE:
; Result = STUDENT_T(A, DF)
;
; INPUT:
; A1: The probability for which a cutoff is desired.
; DF: The degrees of freedom
;
; OUTPUT:
; The cutoff value if a is beween 0 and 1 inclusively. Otherwise, -1.
;-
a = a1
if (a gt 1 or a lt 0) then return,-1
if ( a gt .5) THEN adjust =1 ELSE BEGIN
adjust = 0
a = 1.0 -a
ENDELSE
if a1 eq 0 THEN return, 1.e12
if a1 eq 1 THEn return,-1.e12
case 1 of
DF EQ 1: UP = 100 > (100 * .005/a1)
DF EQ 2: UP = 10 > (10 *.005/a1)
DF GT 2 and DF LE 5: UP= 5 > (5*.005/a1)
DF GT 5 and DF LE 14: UP = 4 > (4 *.005/a1)
ELSE: UP = 3 > (3 *.005/a1)
ENDCASE
while student1_t(UP, DF) LT a DO BEGIN
Below = UP
UP = 2*UP
ENDWHILE
x = pd_bisection([a,DF],'student1_t',Up,0)
if (adjust) THEN return, -x $
ELSE return,x
end