2024
Draw H0
Define rejection region
Draw H1
Shade \(\alpha\) (Type I error)
Shade \(\beta\) (Type II error)
Shade Confidence (\(1 - \alpha\))
Shade power (\(1 - \beta\))
Increasing n increases power
Increasing effect size increases power
Obtaining sample size from a power analysis
Sample size influeces the power of a test by influencing the standard deviation of the test distributions.
It is possible to determine the sample size required to achieve a desired power level.
In practive we rely on external tools to handle the details for us.
https://www.r-bloggers.com/2021/05/power-analysis-in-statistics-with-r/