Chi-Square Distribution Calculator

Instructions: Use this calculator to compute Chi-Square distribution probabilities. Please type in the number of degrees of freedom \(df\) and specify the event you want to compute the probability for, in the form below:

Numerator Degrees of freedom \((df)\) =
Variable Name (Optional) =
\(\le \chi^2 \le \)
\( \chi^2 \le\)
\( \chi^2 \ge \)

Chi-Square distribution Calculator

The Chi-Square distribution is one of the most fundamental distributions in Statistics, along with the normal distribution and the F distribution.

Technically, the Chi-Square distribution is obtained by summing the square of variables that are independent and normally distributed

Chi-Square distribution Calculator

Why do we use the Chi-Square Distribution?

The Chi-Square distribution is one of the crucial continuous distributions in Statistics. You can use other probability calculators for continuous distributions, such as our normal probability calculator , F-distribution calculator or our uniform probability calculator , among many others.

How do you convert chi-square to p value?

In layman terms, the p-value for the Chi-distribution is the area in the right tails, from a given value to the right.

More specifically, for one observed value \(\chi_0^2\), the p-value is defined as

\[p = \Pr(\chi^2 > \chi_0^2\)\]

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