# CHIINV

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Returns the inverse of the one-tailed probability of the chi-squared distribution. If probability = CHIDIST(x,...), then CHIINV(probability,...) = x. Use this function to compare observed results with expected ones to decide whether your original hypothesis is valid.

Syntax

CHIINV ( probability , degrees_freedom )

Probability is a probability associated with the chi-squared distribution.

Degrees_freedom is the number of degrees of freedom.

Remarks

• If either argument is nonnumeric, CHIINV returns the #VALUE! error value.

• If probability < 0 or probability > 1, CHIINV returns the #NUM! error value.

• If degrees_freedom is not an integer, it is truncated.

• If degrees_freedom < 1 or degrees_freedom 10^10, CHIINV returns the #NUM! error value.

CHIINV uses an iterative technique for calculating the function. Given a probability value, CHIINV iterates until the result is accurate to within 3x10^-7. If CHIINV does not converge after 100 iterations, the function returns the #N/A error value.

Example

Probability

DegreesFreedom

Formula

Description (Result)

0.05

10

=CHIINV([Probability],[DegreesFreedom])

Inverse of the one-tailed probability of the chi-squared distribution (18.30703)

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