The following formula is involved in the calculation of effect size values for hierarchical multiple regression studies:
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Effect size for hierarchical multiple regression:

where R2A is the variance accounted for by a set of one or more independent variables A, and R2AB is the combined variance accounted for by A and another set of one or more independent variables B.
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The following references can be used to cite this effect size calculator for hierarchical multiple regression:
 | Soper, D.S. (2012) "Effect Size Calculator for Hierarchical Multiple Regression (Online Software)", http://www.danielsoper.com/statcalc3. |
 | Cohen, J. (1988) "Statistical Power Analysis for the Behavioral Sciences (2nd Edition)", Lawrence Earlbaum Associates, Hillsdale, NJ. |