Tasks 2:  Pairwise Comparisons
This problem continues with the same data set presented above.  Continue with a significance level $\displaystyle \alpha={0.05}$.

To follow-up from the omnibus test, you conduct a pairwise comparison for all possible pairs.  As these are post hoc tests, you will control for an overall experiment-wise significant level $\displaystyle \alpha_{{\text{f.w.}}}={0.05}$.

First, conduct a pairwise comparison using the Dunn-Bonferroni method.  To do so, the following table of t-ratio statistics needs to be completed.  For this presentation, retain the original group order.  Report values accurate to 3 decimal places.

Groups (ascending order)	Comparison Groups
	Group 1	Group 2	Group 3	Group 4
Group 1: Control	—
Group 2: ICT only		—
Group 3: SRL only			—
Group 4: Target SRL				—

What is the critical value for the Dunn-Bonferroni test?  You are encouraged to use =TINV() in Excel, and recall that $\displaystyle \alpha_{{\text{pc}}}=\frac{\alpha}{{n}}$ and the test is two-tailed.
$\displaystyle {t}_{{\text{c.v.}}}=$     (report accurate to 3 decimal places)

Using the Dunn-Bonferroni method, which pairwise comparisons are flagged as statistically significant?

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Next, conduct a Tukey HSD test.  To do so, the following table of $\displaystyle {q}_{{i}}$ statistics needs to be completed.  For this presentation, the groups will be ordered from smallest to largest means.  (In other words, Group A should be the group with the smallest mean.)  First, indicate the appropriate order for the groups (use the group number).  Then fill in the table with values accurate to 3 decimal places.  (Furthermore, even though the sign does not matter, report all comparison statistics as positive values.)

Groups (ascending order)	Comparison Groups
	Group A	Group B	Group C	Group D
Group A =	—
Group B =		—
Group C =			—
Group D =				—

What is the critical value for the Tukey HSD test?  Use this website to find the critical value.
$\displaystyle {q}_{{\text{c.v.}}}=$     (report accurate to 2 decimal places)

Using the Tukey HSD method, which pairwise comparisons are flagged as statistically significant?