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decus_20tap2_198111
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decus/20-0026/cdtr.doc
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SUBROUTINE CDTR
PURPOSE
COMPUTES P(X) = PROBABILITY THAT THE RANDOM VARIABLE U,
DISTRIBUTED ACCORDING TO THE CHI-SQUARE DISTRIBUTION WITH G
DEGREES OF FREEDOM, IS LESS THAN OR EQUAL TO X. F(G,X), THE
ORDINATE OF THE CHI-SQUARE DENSITY AT X, IS ALSO COMPUTED.
USAGE
CALL CDTR(X,G,P,D,IER)
DESCRIPTION OF PARAMETERS
X - INPUT SCALAR FOR WHICH P(X) IS COMPUTED.
G - NUMBER OF DEGREES OF FREEDOM OF THE CHI-SQUARE
DISTRIBUTION. G IS A CONTINUOUS PARAMETER.
P - OUTPUT PROBABILITY.
D - OUTPUT DENSITY.
IER - RESULTANT ERROR CODE WHERE
IER= 0 --- NO ERROR
IER=-1 --- AN INPUT PARAMETER IS INVALID. X IS LESS
THAN 0.0, OR G IS LESS THAN 0.5 OR GREATER
THAN 2*10**(+5). P AND D ARE SET TO -1.E75.
IER=+1 --- INVALID OUTPUT. P IS LESS THAN ZERO OR
GREATER THAN ONE, OR SERIES FOR T1 (SEE
MATHEMATICAL DESCRIPTION) HAS FAILED TO
CONVERGE. P IS SET TO 1.E75.
REMARKS
SEE MATHEMATICAL DESCRIPTION.
SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
DLGAM
NDTR
METHOD
REFER TO R.E. BARGMANN AND S.P. GHOSH, STATISTICAL
DISTRIBUTION PROGRAMS FOR A COMPUTER LANGUAGE,
IBM RESEARCH REPORT RC-1094, 1963.