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STATS_CDF_BETA(3) 1 STATS_CDF_BETA(3)
stats_cdf_beta - CDF function for BETA Distribution. Calculates any one parameter of the beta distribution given values for the others.
SYNOPSIS
float stats_cdf_beta (float $par1, float $par2, float $par3, int $which)
DESCRIPTION
Method Cumulative distribution function (P) is calculated directly by code associated with the following reference. DiDinato, A. R. and
Morris, A. H. Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios. ACM Trans. Math. Softw. 18 (1993),
360-373. Computation of other parameters involve a search for a value that produces the desired value of P. The search relies on the mono-
tonicity of P with the other parameter. Note The beta density is proportional to t^(A-1) * (1-t)^(B-1) Arguments P -- The integral from 0
to X of the chi-square distribution. Input range: [0, 1]. Q -- 1-P. Input range: [0, 1]. P + Q = 1.0. X -- Upper limit of integration of
beta density. Input range: [0,1]. Search range: [0,1] Y -- 1-X. Input range: [0,1]. Search range: [0,1] X + Y = 1.0. A -- The first parame-
ter of the beta density. Input range: (0, +infinity). Search range: [1D-100,1D100] B -- The second parameter of the beta density. Input
range: (0, +infinity). Search range: [1D-100,1D100] STATUS -- 0 if calculation completed correctly -I if input parameter number I is out of
range 1 if answer appears to be lower than lowest search bound 2 if answer appears to be higher than greatest search bound 3 if P + Q .ne.
1 4 if X + Y .ne. 1 BOUND -- Undefined if STATUS is 0 Bound exceeded by parameter number I if STATUS is negative. Lower search bound if
STATUS is 1. Upper search bound if STATUS is 2.
PARAMETERS
o $par1
-
o $par2
-
o $par3
-
o $which
- Integer indicating which of the next four argument values is to be calculated from the others. Legal range: 1..4 which = 1 :
Calculate P and Q from X,Y,A and B which = 2 : Calculate X and Y from P,Q,A and B which = 3 : Calculate A from P,Q,X,Y and B which
= 4 : Calculate B from P,Q,X,Y and A
RETURN VALUES
STATUS -- 0 if calculation completed correctly -I if input parameter number I is out of range 1 if answer appears to be lower than lowest
search bound 2 if answer appears to be higher than greatest search bound 3 if P + Q .ne. 1 4 if X + Y .ne. 1
PHP Documentation Group STATS_CDF_BETA(3)
11-26-2007
kcalarm utility
