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Chi-square calculator


To view the graph of the χ2 distribution for your calculated values, click on the show graph button after doing the calculation.

Compute the p-value for a chi-square distribution

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(χ2 ≥ 0)
(ν an integer > 0)
   

The p-value is the area under the chi-square probability density function (pdf) curve to the right of the specified χ2 value. In Excel: p = CHIDIST(χ2,ν).

p-value

Compute the inverse of the p-value for a chi-square distribution

(0 < p ≤ 1)
(ν an integer > 0)
   

This is the value of χ2 that will give the specified p-value for the chi-square distribution. In Excel: χ2 = CHIINV(p,ν).

Table of selected percentiles

See a table of selected percentiles of the chi-square distribution computed using the Javascript calculation engine behind this page. This is the usual table we see in textbooks. You can see a comparison of our results with those given by Excel.

Other statistical calculators

Binomial distribution graph

See our Binomial distribution calculator which calculates a table of the binomial distribution for given parameters and displays graphs of the distribution function, f(x), and cumulative distribution function, F(x).

 

References

Acknowledgements

Many thanks to Phil O'Sullivan, statistician extraordinaire, for his help and advice on this subject.

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This page last updated 22 May 2016.