Statistics & probability

Chi-square upper-tail probability calculator

Convert a chi-square statistic to a right-tail area using its degrees of freedom.

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Behind the numbers

How this calculation works

Convert a chi-square statistic to a right-tail area using its degrees of freedom.

THE FORMULAP(X≥x)=Q(df/2,x/2)

A worked example

For two degrees of freedom, the survival probability is exp(−x/2), giving one half at 2 ln 2.

Good to know

Supply the statistic from the method you are using.

Read the result

Convert a chi-square statistic to a right-tail area using its degrees of freedom.

The primary result is labeled “Upper-tail probability”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

Supply the statistic from the method you are using.

For a related exercise, try the statistics calculator.

A few questions, answered

How can I check the default inputs by hand?

For two degrees of freedom, the survival probability is exp(−x/2), giving one half at 2 ln 2.

Which rule does this calculator apply?

P(X≥x)=Q(df/2,x/2)

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