Hsu's multiple comparisons with the best (Minitab "Hsu MCB"). For each group the constrained
simultaneous CI for μᵢ − (best of the other means) is
largest is best: [ min(0, minⱼ(ȳᵢ − ȳⱼ − Dᵢⱼ)), max(0, minⱼ(ȳᵢ − ȳⱼ + Dᵢⱼ)) ]
smallest is best: [ min(0, maxⱼ(ȳᵢ − ȳⱼ − Dᵢⱼ)), max(0, maxⱼ(ȳᵢ − ȳⱼ + Dᵢⱼ)) ]
with Dᵢⱼ = dᵢ·√(MS_within (1/nᵢ + 1/nⱼ)) and dᵢ the one-sided Dunnett quantile treating group i as
the control (k − 1 comparisons, λⱼ = √(nⱼ/(nⱼ + nᵢ))) — Hsu (1996) for unbalanced designs.
Hsu's multiple comparisons with the best (Minitab "Hsu MCB"). For each group the constrained simultaneous CI for μᵢ − (best of the other means) is largest is best: [ min(0, minⱼ(ȳᵢ − ȳⱼ − Dᵢⱼ)), max(0, minⱼ(ȳᵢ − ȳⱼ + Dᵢⱼ)) ] smallest is best: [ min(0, maxⱼ(ȳᵢ − ȳⱼ − Dᵢⱼ)), max(0, maxⱼ(ȳᵢ − ȳⱼ + Dᵢⱼ)) ] with Dᵢⱼ = dᵢ·√(MS_within (1/nᵢ + 1/nⱼ)) and dᵢ the one-sided Dunnett quantile treating group i as the control (k − 1 comparisons, λⱼ = √(nⱼ/(nⱼ + nᵢ))) — Hsu (1996) for unbalanced designs.