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----------

In independent two-sample design, the most popular effect size measure is defined as 

$$ \delta = \frac{\mu_1 - \mu_2}{\sigma} $$

where $\mu_1$ and $\mu_2$ are the population means of the two population and $\sigma$ is the population standard deviation which is assumed to be the same for the two populations.$$
g = d\times \frac{\Gamma(m/2)}{\sqrt{(m/2)} \Gamma[(m-1)/2]}
$$$m = n_1 + n_2 - 2$$g$$$
var(g) = \frac{m(1+\tilde{n} \delta^2)}…</description>
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Calculator



----------

For studying the standardized  group mean difference in an independent two-sample design, the most popular effect size measure is defined as 

$$ \delta = \frac{\mu_1 - \mu_2}{\sigma} $$

where $\mu_1$ and $\mu_2$ are the population means of the two groups and $\sigma$$$
d = \frac{\bar{y}_1 - \bar{y}_2}{\sqrt{\frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2}}}
$$$n_1$$n_2$$\bar{y}_1$$\bar{y}_1$$s_1^2$$s_2^2$$\lambda…</description>
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----------

Calculator



----------

How to use

To use the calculator, information is needed according to whether you are using the raw data or summary statistics.

When summary statistics are available
$$
d = \frac{\bar{y}_1 - \bar{y}_2}{\sqrt{\frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2}}}
$$$n_1$$n_2$$\bar{y}_1$$\bar{y}_1$$s_1^2$$s_2^2$$$
g = d\times \frac{\Gamma(m/2)}{\sqrt{(m/2)} \Gamma[(m-1)/2]}
$$$m = n…</description>
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