PROBT Function

Returns the probability from a t distribution.

Category: Probability
See: CDF Function , PDF Function

Syntax

PROBT(x,df<,nc> )

Required Arguments

x

is a numeric random variable.

df

is a numeric degrees of freedom parameter.

Range df > 0

Optional Argument

nc

is an optional numeric noncentrality parameter.

Details

The PROBT function returns the probability that an observation from a Student's t distribution, with degrees of freedom df and noncentrality parameter nc, is less than or equal to x. This function accepts a noninteger degree of freedom parameter df. If the optional parameter, nc, is not specified or has the value 0, the value that is returned is from the central Student's t distribution.
The significance level of a two-tailed t test is given by
p=(1-probt(abs(x),df))*2;

Example

The following SAS statement produces this result.
SAS Statement
Result
x=probt(0.9,5);
0.7953143998