TINV

TINV

Returns the inverse of the Student's t-distribution for the specified degrees of freedom.

Syntax

TINV(probability,degrees_freedom)

Probability   is the probability associated with the two-tailed Student's t-distribution.

Degrees_freedom   is the number of degrees of freedom to characterize the distribution.

Remarks

  • If either argument is nonnumeric, TINV returns the #VALUE! error value.
  • If probability < 0 or if probability > 1, TINV returns the #NUM! error value.
  • If degrees_freedom is not an integer, it is truncated.
  • If degrees_freedom < 1, TINV returns the #NUM! error value.
  • TINV is calculated as TINV = p( t<X ), where X is a random variable that follows the t-distribution.

TINV uses an iterative technique for calculating the function. Given a probability value, TINV iterates until the result is accurate to within ± 3x10^-7. If TINV does not converge after 100 iterations, the function returns the #N/A error value.

Example

TINV(0.054645,60) equals 1.96