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

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