# T.INV function

This article describes the formula syntax and usage of the T.INV function in Microsoft Excel.

Returns the left-tailed inverse of the Student's t-distribution.

## Syntax

T.INV(probability,deg_freedom)

The T.INV function syntax has the following arguments:

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

• Deg_freedom     Required. The number of degrees of freedom with which to characterize the distribution.

## Remarks

• If either argument is nonnumeric, T.INV returns the #VALUE! error value.

• If probability <= 0 or if probability > 1, T.INV returns the #NUM! error value.

• If deg_freedom is not an integer, it is truncated.

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

## Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Formula

Description

Result

=T.INV(0.75,2)

The left-tailed inverse of the Student's t-distribution with a probability of 75% and 2 degrees of freedom.

0.8164966

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