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Excel TINV Function

The TINV function returns the two-tailed inverse of the Student's t-distribution. The t-distribution is frequently used in testing hypotheses on small sample data sets.

Note: TINV has been replaced with T.INV.2T. Although TINV is still available in current versions of Excel, you should consider using the new function from now on, because TINV may not be available in Excel’s future versions.

t.inv function 1


Syntax

=TINV(probability, deg_freedom)


Arguments

  • probability (required): The probability for which you want to evaluate the inverse of the two-tailed Student's T Distribution. Note: probability must be between 0 and 1.
  • deg_freedom (required): An integer indicating the number of degrees of freedom. Note: deg_freedom must be ≥ 1.

Return Value

The TINV function returns a numeric value.


Function Notes

  • If deg_freedom is not an integer, it will be truncated.
  • TINV returns the #VALUE! error if any argument is non-numeric.
  • TINV returns the #NUM! error if:
    • probability ≤ 0 or probability > 1;
    • deg_freedom < 1.

Example

To calculate the two-tailed inverse of the Student's t distribution with a probability of 68% and 2 degrees of freedom, please copy or enter the formula below in the result cell, and press Enter to get the result.

=TINV(B7,B10)

t.inv function 2

Also, you can type the actual probability and deg_freedom values in the formula as shown below.

=TINV(0.68,2)


Related functions

Excel T.INV.2T Function

The T.INV.2T function returns the inverse of Student's two-tailed-distribution. The t-distribution is frequently used in testing hypotheses on small sample data sets.

Excel T.INV Function

The T.INV function returns the inverse of Student's left-tailed t-distribution. The t-distribution is frequently used in testing hypotheses on small sample data sets.

Excel T.DIST Function

The T.DIST function returns the Student's left-tailed t-distribution. The t-distribution is frequently used in testing hypotheses on small sample data sets.

Excel T.DIST.RT Function

The T.DIST.RT function returns the Student's right-tailed t-distribution. The t-distribution is frequently used in testing hypotheses on small sample data sets.

Excel T.DIST.2T Function

The T.DIST.RT function returns the Student's two-tailed t-distribution. The t-distribution is frequently used in testing hypotheses on small sample data sets.


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