Statistical

CHISQ.DIST.RT Formula

Returns the right-tailed probability of the chi-squared distribution. This is the modern replacement for CHIDIST. It directly gives the p-value for chi-squared goodness-of-fit tests and tests of independence, making it the most commonly used chi-squared function in practice.

Syntax

CHISQ.DIST.RT(x, deg_freedom)
ParameterDescription
x Parameter of the CHISQ.DIST.RT function.
deg_freedom Parameter of the CHISQ.DIST.RT function.
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Examples

Test of independence p-value

Formula
=CHISQ.DIST.RT(9.49, 4)
Returns ~0.0500. A chi-squared value of 9.49 with 4 df is right at the 5% critical threshold.

Variance test

Formula
=CHISQ.DIST.RT(35, 20)
Returns ~0.0203. Testing whether a sample variance significantly exceeds the hypothesized variance with 20 df yields a significant result.

Weak evidence against null

Formula
=CHISQ.DIST.RT(3.2, 5)
Returns ~0.6694. A p-value of 67% means the observed data is consistent with the null hypothesis.

Common Errors

#NUM!

x must be non-negative and degrees of freedom must be at least 1.

#VALUE!

Occurs when arguments are non-numeric.

Tips

Most practical chi-squared function

For hypothesis testing, CHISQ.DIST.RT gives you the p-value directly without needing to subtract from 1.

Calculating degrees of freedom

For a test of independence on an r x c contingency table, df = (r-1)(c-1). For a goodness-of-fit test, df = number of categories - 1.

Critical value lookup

To find the critical chi-squared value at a given significance level, use CHISQ.INV.RT(alpha, df) instead.

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