Dunnett's Test (vs Control)¶
Overview¶
Dunnett's test compares each of \(k-1\) treatment groups to a single control group, while controlling the FWER.
Test Statistic¶
For comparing group \(i\) to the control:
\[
t_i = \frac{\bar{X}_i - \bar{X}_{\text{control}}}{\sqrt{MSE \cdot (1/n_i + 1/n_{\text{control}})}}
\]
Critical values come from the multivariate \(t\)-distribution accounting for the correlation between comparisons.