The following formula is involved in the calculation of adjusted R2 values:
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Adjusted R2:

where R2 is the sample R-square, k is the number of predictors, and n is the total sample size.
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The following references can be used to cite this adjusted r-square calculator (population r-square):
 | Soper, D.S. (2013). Adjusted R-square Calculator (Population R-square) [Software]. Available from http://www.danielsoper.com/statcalc |
 | Cohen, J., Cohen, P., West, S.G., and Aiken, L.S. (2003). Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences (3rd edition). Mahwah, NJ: Lawrence Earlbaum Associates. |