Statistical

CHISQ.INV.RT Formula

Returns the inverse of the right-tailed chi-squared distribution. Given a significance level (right-tail probability), it returns the critical chi-squared value. This is the standard function for looking up critical values in chi-squared hypothesis tests.

Syntax

CHISQ.INV.RT(probability, deg_freedom)
ParameterDescription
probability Parameter of the CHISQ.INV.RT function.
deg_freedom Parameter of the CHISQ.INV.RT function.
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Examples

Critical value for 2x2 table

Formula
=CHISQ.INV.RT(0.05, 1)
Returns ~3.841. The critical chi-squared value for a 2x2 contingency table (1 df) at the 5% significance level.

10% significance with 10 df

Formula
=CHISQ.INV.RT(0.10, 10)
Returns ~15.987. The critical value for a more lenient significance threshold with 10 degrees of freedom.

Strict threshold for large table

Formula
=CHISQ.INV.RT(0.001, 8)
Returns ~26.125. A very strict critical value for an analysis with 8 df at the 0.1% significance level.

Common Errors

#NUM!

Probability must be between 0 and 1 (exclusive). Degrees of freedom must be at least 1.

#VALUE!

Occurs when arguments are non-numeric.

Tips

Direct significance level input

Pass your alpha level (e.g., 0.05) directly. The function returns the value your test statistic must exceed to be significant.

Common critical values

Memorize a few: CHISQ.INV.RT(0.05, 1) = 3.84, CHISQ.INV.RT(0.05, 2) = 5.99, CHISQ.INV.RT(0.05, 3) = 7.81. These cover many practical tests.

Decision rule

If your calculated chi-squared statistic > CHISQ.INV.RT(alpha, df), reject the null hypothesis. Otherwise, fail to reject.

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