Specify the population characteristics:

\(H_0: \mu_{1} - \mu_{2} = \)
\(H_a: \mu_{a1} -\mu_{a2}=\)
Enter the standard deviation of each population and the correlation between scores...
\(\sigma_1 =\)
\(\sigma_2 =\)
Population correlation: \(\rho =\)
...or enter the standard deviation of difference scores:
\(\sigma_d =\)
Or enter a standardized effect size:
\( \frac{\left(\mu_{a1} - \mu_{a2}\right) - \left(\mu_{1} -\mu_{2}\right)}{\sigma_d} = \delta = \)

Specify the properties of the test:

Type of test	Two-tails Positive one-tail Negative one-tail
Type I error rate, \(\alpha =\)
Power=
Sample size (pairs of scores) \(n=\)

Provide the population characteristics by entering the difference of means, standard deviation of each population, and correlation between scores.

Or, you could enter the means and the standard deviation of the difference scores.

Alternatively, enter the standardized effect size, and the means and standard deviations will be filled with one possible set of values.

Select the type of test and the Type I error rate. Enter either a desired power value or a sample size and click the corresponding button to either Calculate minimum sample size or Calculate power .