A researcher compared the effects of three different instructional techniques to a control condition and each other (k=4). She tested students' ability to do statistics problems. For each condition, she tested four students. The results are summarized below (Note: SST is provided to use as a check, do not use it to calculate either SSp or SSw):
CC IT1 IT2 IT3
T=20 T=32 T=20 T=8
SS=120 SS=12 SS=14 SS=12
sS=12 $$=10
Run a complete hypothesis test, with a = 0.05, to determine if there were any reliable differences between the treatment groups. Do the results show that technique 1 is better than technique 2? Explain your answer. If she had done a t-test instead, what t and df would she have found?