Statistical

T.DIST.RT Formula

Returns the right-tailed probability of the Student's t-distribution. This gives the probability that a t-distributed random variable exceeds the given value x. It is commonly used to compute one-sided p-values in hypothesis tests where you are testing for a value being significantly greater than the null hypothesis.

Syntax

T.DIST.RT(x, deg_freedom)
ParameterDescription
x Parameter of the T.DIST.RT function.
deg_freedom Parameter of the T.DIST.RT function.
Try T.DIST.RT in Viztab — free, no signup

Examples

Right-tail p-value for t=1.5

Formula
=T.DIST.RT(1.5, 20)
Returns ~0.0746. The probability of observing a t-value of 1.5 or greater with 20 degrees of freedom is about 7.5%.

Significance check at t=2.8

Formula
=T.DIST.RT(2.8, 30)
Returns ~0.0044. Highly significant — less than 0.5% probability in the right tail.

Large degrees of freedom

Formula
=T.DIST.RT(1.96, 1000)
Returns ~0.0251. With high df, this approaches the normal distribution's right-tail probability of 0.025 at z=1.96.

Common Errors

#NUM!

Degrees of freedom must be at least 1.

#VALUE!

Occurs when arguments are non-numeric.

Tips

Relationship to T.DIST

T.DIST.RT(x, df) = 1 - T.DIST(x, df, TRUE). It simply gives the complement of the left-tail CDF.

Accepts negative x

Unlike TDIST, T.DIST.RT accepts negative values of x. T.DIST.RT(-2, 10) returns a value greater than 0.5, which is the probability of being above a negative t-value.

One-sided hypothesis tests

Use T.DIST.RT directly for one-sided tests where your alternative hypothesis is that the true value exceeds the null. If your test statistic is negative, the right-tail p-value will be large, correctly indicating non-significance.

Try T.DIST.RT in Viztab

Import your data and use T.DIST.RT with 370+ other formulas. No signup required.

Open Viztab

Related Formulas