CHISQ.INV.RT Function

Excel 2010+, Excel 2016+, Excel 365

Summary

The CHISQ.INV.RT function returns the inverse of the right-tailed chi-squared distribution probability, finding the critical value x where CHISQ.DIST.RT(x, degrees of freedom) equals the specified probability. Ideal for hypothesis testing and statistical analysis.

Syntax

CHISQ.INV.RT(probability, deg_freedom)

Parameters

Parameter Type Required Description
probability Number Yes Probability associated with the right-tailed chi-squared distribution (0 < probability < 1)
deg_freedom Number Yes Number of degrees of freedom (≥ 1)

Using the CHISQ.INV.RT Function

CHISQ.INV.RT is crucial for chi-squared statistical tests, providing critical values for hypothesis testing. Use it to determine if observed data significantly differs from expected values in goodness-of-fit tests, independence tests, and variance analysis.

Common CHISQ.INV.RT Examples

Standard Chi-Squared Test (α=0.05)

=CHISQ.INV.RT(0.05,10)

Returns 18.31 - critical value for 10 degrees of freedom at 5% significance (matches example data)

Quality Control Test

=CHISQ.INV.RT(0.01,15)

Returns 30.58 - critical value for stricter 1% significance with 15 df

Goodness-of-Fit Test

=CHISQ.INV.RT(0.05,A1)

Uses cell A1 containing degrees of freedom for flexible testing

Frequently Asked Questions

It finds x where CHISQ.DIST.RT(x, deg_freedom) = probability, giving the critical value for right-tailed chi-squared tests.

CHISQ.INV.RT uses right-tail probability; CHISQ.INV uses left-tail (1-probability).

Yes, but Excel truncates to integer (e.g., 10.9 becomes 10).

Common Errors and Solutions

#VALUE!

Cause: Non-numeric input for probability or deg_freedom

Solution: Ensure both arguments are valid numbers

#NUM!

Cause: probability ≤ 0 or ≥ 1, or deg_freedom < 1

Solution: Use probability between 0-1 (exclusive), deg_freedom ≥ 1

#N/A

Cause: Iterative algorithm didn't converge after 64 iterations

Solution: Check input values; try slightly different probability

Notes

  • Available in Excel 2010+
  • Uses iterative algorithm (64 iterations max)
  • Precision depends on CHISQ.DIST.RT accuracy
  • Truncates non-integer deg_freedom
  • Perfect companion to CHISQ.DIST.RT

Compatibility

Available in: Excel 2010, Excel 2016, Excel 365

Not available in: Excel 2007 and earlier

Content last reviewed: December 9, 2025
Update frequency: As needed
Excel versions tested: Excel 2010+, Excel 2016+, Excel 365