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| \mbox{Cohen's d} = \frac{\mbox{difference between a pair of group means}{\mbox{averaged group standard deviation}$$ | \mbox{Cohen's d} = \frac{\mbox{difference between a pair of group means}}{\mbox{averaged group standard deviation}}$$ |
Rules of thumb on magnitudes of effect sizes
Effect Size |
Use |
Small |
Medium |
Large |
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Correlation |
|
0.1 |
0.3 |
0.5 |
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R-squared |
regression inc anovas |
0.01 |
0.06 |
0.14 |
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Cohen's f |
regression inc anovas |
0.1 |
0.25 |
0.40 |
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Cohen's d |
t-tests |
0.2 |
0.5 |
0.8 |
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Cohen's w |
chi-square |
0.1 |
0.3 |
0.5 |
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Definitions
$$ \mbox{Cohen's d} = \frac{\mbox{difference between a pair of group means}}{\mbox{averaged group standard deviation}}$$
$$\mbox{Cohen's f} = \sqrt{Rtext{2} / \mbox{1 - R}text{2}}