Statistical

T.DIST.2T Formula

Returns the two-tailed probability of the Student's t-distribution. This gives the probability of observing a t-value at least as extreme as x in either direction. It is the standard function for computing p-values in two-sided hypothesis tests, where you want to detect a difference in either direction from the null.

Syntax

T.DIST.2T(x, deg_freedom)
ParameterDescription
x Parameter of the T.DIST.2T function.
deg_freedom Parameter of the T.DIST.2T function.
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Examples

Two-tailed p-value for t=2.1

Formula
=T.DIST.2T(2.1, 25)
Returns ~0.0459. The two-tailed p-value is about 4.6%, indicating statistical significance at the 5% level.

Non-significant result

Formula
=T.DIST.2T(1.2, 15)
Returns ~0.2489. A p-value of 24.9% is well above typical significance thresholds — no evidence to reject the null.

Highly significant result

Formula
=T.DIST.2T(4, 50)
Returns ~0.0002. A t-value of 4 with 50 degrees of freedom is extremely significant (p < 0.001).

Common Errors

#NUM!

x must be non-negative (pass the absolute value of your test statistic). Degrees of freedom must be at least 1.

#VALUE!

Occurs when arguments are non-numeric.

Tips

x must be non-negative

T.DIST.2T requires x >= 0 because the two-tailed probability is symmetric. If your test statistic is negative, use ABS() to wrap it.

Equals twice the right tail

T.DIST.2T(x, df) = 2 * T.DIST.RT(x, df) when x >= 0. The two-tailed probability is just double the one-tailed probability due to symmetry.

Most common for hypothesis testing

Two-tailed tests are the default in most research. Use T.DIST.2T when you want to test whether a parameter differs from the null in either direction.

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