Power of the Two-Sample t-Test

The power of the two-sample t-test is the probability of detecting a specified difference between two treatment means when that difference is real.

In STA305, its power is driven by four inputs:

  • the effect size to be detected
  • the standard deviation
  • the sample size per group
  • the significance level $\alpha$

R

power.t.test(delta = delta, sd = sd, n = n_per_group,
             sig.level = 0.05,
             type = "two.sample",
             alternative = "two.sided")