CHISQ.INV.RT Function

Excel Functions › Statistical

Excel 2010+ Statistical

The Excel CHISQ.INV.RT function returns the inverse of the right-tailed chi-square distribution — the critical value with a given area in its upper tail. It is the function you reach for to find chi-square critical values at a chosen significance level.


Quick answer:
=CHISQ.INV.RT(0.05,5) ~11.07 (5% in upper tail, 5 df)

Syntax

=CHISQ.INV.RT(probability, deg_freedom)
ArgumentDescription
probabilityRequiredThe right-tail (upper) probability — typically your significance level, e.g. 0.05.
deg_freedomRequiredThe number of degrees of freedom (a positive integer; decimals are truncated).

How to use it

CHISQ.INV.RT gives the chi-square value that leaves the stated probability in the right tail — exactly the critical value you compare a test statistic against.

=CHISQ.INV.RT(0.05, 5) // ~11.07
=CHISQ.INV.RT(0.01, 10) // ~23.21

It is the mirror image of the left-tailed CHISQ.INV: CHISQ.INV.RT(0.05, df) = CHISQ.INV(0.95, df). It is also the exact inverse of CHISQ.DIST.RT.

Workflow: compute your chi-square statistic, then compare it to CHISQ.INV.RT(alpha, df). If the statistic exceeds the critical value, reject the null hypothesis.

Try it: interactive demo

Live demo

Pick a CHISQ.INV.RT example to see the formula and its result.

Result:

Practice workbook

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Frequently asked questions

Is CHISQ.INV.RT the same as the old CHIINV?
Yes — CHIINV is the legacy right-tailed function, and CHISQ.INV.RT is its modern replacement with the same behaviour. The legacy name still works for compatibility.
How do I get a chi-square critical value for alpha = 0.05?
Use =CHISQ.INV.RT(0.05, df), supplying your degrees of freedom. For example with 5 df it returns about 11.07.
What is the relationship to CHISQ.INV?
They are complements: CHISQ.INV.RT(p, df) = CHISQ.INV(1 - p, df). One reads from the right tail, the other from the left.
Does CHISQ.INV.RT undo CHISQ.DIST.RT?
Yes. If CHISQ.DIST.RT(x, df) = p then CHISQ.INV.RT(p, df) = x — they are exact inverses.

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Related functions: CHISQ.INV · CHISQ.TEST · CHISQ.DIST · F.INV.RT · T.INV.2T · NORM.INV