PROBF Function

Returns the probability from an F distribution.

 Category: Probability See: CDF Function,

Syntax

PROBF(x,ndf,ddf<,nc> )

Required Arguments

x

is a numeric random variable.

 Range x ≥ 0

ndf

is a numeric numerator degrees of freedom parameter.

 Range ndf > 0

ddf

is a numeric denominator degrees of freedom parameter.

 Range ddf > 0

Optional Argument

nc

is an optional numeric noncentrality parameter.

 Range nc ≥ 0

Details

The PROBF function returns the probability that an observation from an F distribution, with numerator degrees of freedom ndf, denominator degrees of freedom ddf, and noncentrality parameter nc, is less than or equal to x. The PROBF function accepts noninteger degrees of freedom parameters ndf and ddf. If the optional parameter nc is not specified or has the value 0, the value returned is from the central F distribution.
The significance level for an F test statistic is given by
`p=1-probf(x,ndf,ddf);`

Example

The following SAS statement produces this result.
SAS Statement
Result
`x=probf(3.32,2,3);`
`0.8263933602`