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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.