I'm wondering whether anyone knows whether it is possible to directly calculate a Bayes Factor (comparing null model of zero correlation to non-zero correlation) given just a correlation coefficient and sample size.

I've found this site that allows you to calculate the Bayes factor from t-test or regression coefficients and am hoping that a similar thing could be done with correlation coefficients.

Many thanks.

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#### Best Answer

You could convert the Pearson's $r$ value to its corresponding $t$-statistic and then use the app that you found. The conversion is $$ t=sqrt{frac{(n-2)r^2}{1-r^2}} $$ where $n$ is the sample size.

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