The following formula is involved in the calculation of effect size values for multiple regression studies:
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Cohen's f2 effect size for an F-test:

where R2 is the squared multiple correlation.
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The following references can be used to cite this effect size calculator for multiple regression:
 | Soper, D.S. (2013). Effect Size Calculator for Multiple Regression [Software]. Available from http://www.danielsoper.com/statcalc |
 | Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd Edition). Hillsdale, NJ: Lawrence Earlbaum Associates. |