Sample size required to estimate means dependent samples
Sample Size to estimate means(paired) | ||
---|---|---|
Confidence Level ($1-\alpha$) | ||
Standard Deviation ($\sigma_d$) | ||
Margin of Error ($E$) | ||
Results | ||
Z value: | ||
Required Sample Size : ($n$) | ||
Sample size required to estimate difference between means of dependent samples
The formula to estimate the sample size required to estimate the mean of two dependent samples is
$$ n =\bigg(\frac{z\sigma_d}{E}\bigg)^2 $$
where
- $n$ is the sample size,
- $z$ is the $Z_{\alpha/2}$,
- $\sigma_d$ is the population standard deviation of the difference and
- $E$ is the margin of error.