Returns the t-value of the Student's t-distribution as a function of the probability and the degrees of 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.


  • 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.

  • A one-tailed t-value can be returned by replacing probability with 2*probability. For a probability of 0.05 and degrees of freedom of 10, the two-tailed value is calculated with TINV(0.05,10), which returns 2.28139. The one-tailed value for the same probability and degrees of freedom can be calculated with TINV(2*0.05,10), which returns 1.812462. In some tables, probability is described as (1-p).

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.





Description (Result)




t-value of the Student's t-distribution for the specified arguments (1.959997462)

Need more help?

Expand your skills
Explore Training
Get new features first
Join Microsoft Office Insiders

Was this information helpful?

What affected your experience?

Thank you for your feedback!