CHISQ.DIST

Calculates the left-tailed chi-squared distribution, often used in hypothesis testing.

Sample Usage

CHISQ.DIST(3.45, 2, TRUE)

CHISQ.DIST(A2, B2, TRUE)

Syntax

CHISQ.DIST(x, degrees_freedom, cumulative)

  • x - The input to the chi-squared probability distribution function. The value at which to evaluate the function.

    • Must be a positive number.

  • degrees_freedom - The number of degrees of freedom of the distribution.

  • cumulative - Logical value that determines the form of the function.

    • If TRUE: CHI.DIST returns the left-tailed cumulative distribution function.

    • If FALSE: CHI.DIST returns the probability density function.

Notes

  • degrees_freedom is truncated to an integer if a non-integer is provided.

  • degrees_freedom must be at least 1 and may not exceed 10^10.

  • x and degrees_freedom must be numeric.

See Also

CHIDIST: Calculates the right-tailed chi-squared distribution, often used in hypothesis testing.

CHIINV: Calculates the inverse of the right-tailed chi-squared distribution.

CHISQ.DIST.RT: Calculates the right-tailed chi-squared distribution, which is commonly used in hypothesis testing.

CHITEST: Returns the probability associated with a Pearson’s chi-squared test on the two ranges of data. Determines the likelihood that the observed categorical data is drawn from an expected distribution.

GAMMADIST: Calculates the gamma distribution, a two-parameter continuous probability distribution.

Example

Suppose you want to test the fairness of a 6-sided die:

  • From several rolls, you obtain a chi-squared statistic of 12.3.

  • The number of degrees of freedom is 6 - 1 = 5.

  • We will evaluate the chi-squared distribution with 5 degrees of freedom when x equals 12.3.

  A B C
1 x Degrees freedom Solution
2 12.3 5 0.01223870353
3 12.3 5 =CHISQ.DIST(12.3, 5, FALSE)
4 12.3 5 =CHISQ.DIST(A2, B2, FALSE)
true
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