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# What is T.INV.2T function in Excel?

T.INV.2T function is one of Statistical functions in Microsoft Excel that returns the two-tailed inverse of the Student’s t-distribution.

## Syntax of T.INV.2T function

T.INV.2T(probability,deg_freedom)

The T.INV.2T function syntax has the following arguments:

• Probability: The probability associated with the Student’s t-distribution.
• Deg_freedom: The number of degrees of freedom with which to characterize the distribution.

## Explanation of T.INV.2T function

• If either argument is nonnumeric, T.INV.2T returns the #VALUE! error value.
• If probability <= 0 or if probability > 1, T.INV.2T returns the #NUM! error value.
• If deg_freedom is not an integer, it is truncated.
• If deg_freedom < 1, T.INV.2T returns the #NUM! error value.
• T.INV.2T 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 T.INV.2T(0.05,10), which returns 2.28139. The one-tailed value for the same probability and degrees of freedom can be calculated with T.INV.2T(2*0.05,10), which returns 1.812462.Given a value for probability, T.INV.2T seeks that value x such that T.DIST.2T(x, deg_freedom, 2) = probability. Thus, precision of T.INV.2T depends on precision of T.DIST.2T.

## Example of T.INV.2T function

Steps to follow:

1. Open a new Excel worksheet.

2. Copy data in the following table below and paste it in cell A1

Note: For formulas to show results, select them, press F2 key on your keyboard and then press Enter.

You can adjust the column widths to see all the data, if need be.

 Data Description 0.546449 Probability associated with the two-tailed Student’s t-distribution 60 Degrees of freedom Formula Description (Result) Result =T.INV.2T(A2,A3) T-value of the Student’s t-distribution for the terms above (0.606533076) 0.606533