CHISQ.DIST.RT Function

Excel Functions › Statistical

Excel 2010+ Statistical

The Excel CHISQ.DIST.RT function returns the right-tailed chi-squared probability — the area to the right of a chi-squared value, which is the p-value used in goodness-of-fit and independence tests.


Quick answer:
=CHISQ.DIST.RT(3,2) right-tail p-value ≈ 0.2231

Syntax

=CHISQ.DIST.RT(x, deg_freedom)
ArgumentDescription
xRequiredThe chi-squared value at which to evaluate the right tail (x ≥ 0).
deg_freedomRequiredThe number of degrees of freedom (a positive integer).

How to use it

CHISQ.DIST.RT gives the probability of a chi-squared statistic being at least as large as x — the right-tail area. This is exactly the p-value you compare against your significance level in a chi-squared test.

=CHISQ.DIST.RT(3,2) // right-tail p ≈ 0.2231
=CHISQ.DIST.RT(11.07,5) // ≈ 0.0500

Because the right tail is the complement of the left tail, CHISQ.DIST.RT(x,df) = 1 - CHISQ.DIST(x,df,TRUE). A small right-tail value means an observed result that would be unlikely under the null hypothesis.

Reading a p-value: if CHISQ.DIST.RT returns less than your alpha (commonly 0.05), the result is statistically significant and you reject the null hypothesis.

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Live demo

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Result:

Practice workbook

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Frequently asked questions

What does CHISQ.DIST.RT return?
The right-tail probability — the area under the chi-squared curve to the right of x. In a chi-squared test this is the p-value.
How does it relate to CHISQ.DIST?
They are complements: CHISQ.DIST.RT(x,df) = 1 - CHISQ.DIST(x,df,TRUE). One is the area below x, the other the area above it, and they sum to 1.
How do I interpret the result as a p-value?
Compare it to your significance level. If CHISQ.DIST.RT is below alpha (often 0.05), the result is significant and you reject the null hypothesis.
Which legacy function does CHISQ.DIST.RT replace?
It replaces the old CHIDIST, which also returned the right tail. CHISQ.DIST.RT (Excel 2010+) is the modern name with the same behaviour.

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Related functions: CHISQ.DIST · CHISQ.INV.RT · CHISQ.TEST · F.DIST.RT · GAMMA.DIST