TINV function



For more information about the new functions, see T.INV.2T function or T.INV function.



The TINV function syntax has the following arguments:

  • Probability     Required. The probability associated with the two-tailed Student's t-distribution.

  • Deg_freedom     Required. The number of degrees of freedom with which 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 deg_freedom is not an integer, it is truncated.

  • If deg_freedom < 1, TINV returns the #NUM! error value.

  • TINV returns that value t, such that P(|X| > t) = probability where X is a random variable that follows the t-distribution and P(|X| > t) = P(X < -t or X > t).

  • 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.

    Note:  In some tables, probability is described as (1-p).

    Given a value for probability, TINV seeks that value x such that TDIST(x, deg_freedom, 2) = probability. Thus, precision of TINV depends on precision of TDIST. TINV uses an iterative search technique. If the search has not converged after 100 iterations, the function returns the #N/A error value.






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


Degrees of freedom





The t-value of the Student's t-distribution based on the arguments in A2 and A3.


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