The following formula is involved in the calculation of Cohen's d effect size values for t-tests:
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Cohen's d effect size for a t-test:

where x1 and x2 are the means of group 1 and group 2, and σ12 and σ22 are the variances of group 1 and group 2.
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The following references can be used to cite this effect size (cohen's d) calculator for a student t-test:
 | Soper, D.S. (2012) "Effect Size (Cohen's d) Calculator for a Student t-Test (Online Software)", http://www.danielsoper.com/statcalc3. |
 | Cohen, J. (1988) "Statistical Power Analysis for the Behavioral Sciences (2nd Edition)", Lawrence Earlbaum Associates, Hillsdale, NJ. |