Statistics & probability

AIC and BIC from log likelihood calculator

Compute both information criteria and the small-sample AIC correction when it exists.

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Behind the numbers

How this calculation works

Compute both information criteria and the small-sample AIC correction when it exists.

THE FORMULAAIC=2k−2ln(L); BIC=k ln(n)−2ln(L)

A worked example

With log likelihood −120 and four parameters, AIC is 248.

Good to know

Compare models fitted to the same response data under comparable likelihoods.

Read the result

Compute both information criteria and the small-sample AIC correction when it exists.

The primary result is labeled “Akaike information criterion”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

Compare models fitted to the same response data under comparable likelihoods.

For a related exercise, try the statistics calculator.

A few questions, answered

How can I check the default inputs by hand?

With log likelihood −120 and four parameters, AIC is 248.

Which rule does this calculator apply?

AIC=2k−2ln(L); BIC=k ln(n)−2ln(L)

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