Statistical

CHIINV Formula

Returns the inverse of the right-tailed chi-squared distribution. This is the legacy version that takes a right-tail probability and returns the corresponding chi-squared value. It is equivalent to CHISQ.INV.RT and is commonly used to find critical values for chi-squared hypothesis tests.

Syntax

CHIINV(probability, deg_freedom)
ParameterDescription
probability Parameter of the CHIINV function.
deg_freedom Parameter of the CHIINV function.
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Examples

Critical value at 5% significance

Formula
=CHIINV(0.05, 3)
Returns ~7.815. The critical chi-squared value for a test with 3 df at the 5% significance level. Reject the null if your test statistic exceeds this.

1% significance threshold

Formula
=CHIINV(0.01, 5)
Returns ~15.086. A stricter critical value for 5 df at the 1% level.

Variance lower bound divisor

Formula
=CHIINV(0.025, 24)
Returns ~39.364. Used in the denominator when computing the lower bound of a confidence interval for variance.

Common Errors

#NUM!

Probability must be between 0 and 1 (exclusive). Degrees of freedom must be a positive integer.

#VALUE!

Occurs when arguments are non-numeric.

Tips

Right-tail probability input

CHIINV takes the right-tail probability. For a 5% significance test, pass 0.05 directly — no need to subtract from 1.

Migrate to CHISQ.INV.RT

CHIINV is the compatibility function. CHISQ.INV.RT is the modern replacement with identical behavior.

Relationship to CHISQ.INV

CHIINV(p, df) = CHISQ.INV(1-p, df). They give the same chi-squared value but take complementary probability inputs.

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