stats_cdf_binomial

(PECL stats >= 1.0.0)

stats_cdf_binomial — Calculates any one parameter of the binomial distribution given values for the others

Description

stats_cdf_binomial(
    float $par1,
    float $par2,
    float $par3,
    int $which
): float

Returns the cumulative distribution function, its inverse, or one of its parameters, of the binomial distribution. The kind of the return value and parameters (par1, par2, and par3) are determined by which.

The following table lists the return value and parameters by which. CDF, x, n, and p denotes cumulative distribution function, the number of successes, the number of trials, and the success rate for each trial, respectively.

**Return value and parameters**
`which`	Return value	`par1`	`par2`	`par3`
1	CDF	x	n	p
2	x	CDF	n	p
3	n	x	CDF	p
4	p	x	CDF	n

Parameters

par1: The first parameter
par2: The second parameter
par3: The third parameter
which: The flag to determine what to be calculated

Return Values

Returns CDF, x, n, or p, determined by which.

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User Contributed Notes 1 note

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-13

PCH ¶

9 years ago

Calculates any one parameter of the binomial
     distribution given values for the others.

                              Arguments

     WHICH --> Integer indicating which of the next four argument
               values is to be calculated from the others.
               Legal range: 1..4
               iwhich = 1 : Calculate P and Q from S,XN,PR and OMPR
               iwhich = 2 : Calculate S from P,Q,XN,PR and OMPR
               iwhich = 3 : Calculate XN from P,Q,S,PR and OMPR
               iwhich = 4 : Calculate PR and OMPR from P,Q,S and XN

     P <--> The cumulation from 0 to S of the binomial distribution.
            (Probablility of S or fewer successes in XN trials each
            with probability of success PR.)
            Input range: [0,1].

     Q <--> 1-P.
            Input range: [0, 1].
            P + Q = 1.0.

     S <--> The number of successes observed.
            Input range: [0, XN]
            Search range: [0, XN]

     XN  <--> The number of binomial trials.
              Input range: (0, +infinity).
              Search range: [1E-100, 1E100]

     PR  <--> The probability of success in each binomial trial.
              Input range: [0,1].
              Search range: [0,1]

     OMPR  <--> 1-PR
              Input range: [0,1].
              Search range: [0,1]
              PR + OMPR = 1.0

     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 PR + OMPR .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.

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