Imagine the \(F\)-ratio for a one-way ANOVA is rejected for a study involving six groups, each with nine participants. A researcher plans on comparing each group with every other group, controlling familywise error using the Tukey test.

a. How many unplanned comparisons will be conducted?

b. What is the value of \(d f_{\text {error? }}\) ?

c. What is the value of \(q_{\mathrm{T}}\) ?

d. Assuming familywise error is set at \(.05\left(\mathrm{a}_{\mathrm{FW}}=.05\right)\), what is the critical value for each comparison \(\left(F_{\mathrm{T}}\right)\) ?