The following data represent the results from an independent-measures experiment comparing three treatment conditions with n=4\displaystyle {n}={4} in each sample. Use SPSS to conduct an analysis of variance with α=0.05\displaystyle \alpha={0.05} to determine whether these data are sufficient to conclude that there are significant differences between the treatments.
Treatment ATreatment BTreatment C
192220
191924
222023
202321
F-ratio =
p-value =
Conclusion:
η2=\displaystyle \eta^{{2}}=


The results above were obtained because the sample means are close together. To construct the data set below, the same scores from above were used, then the size of the mean differences were increased. In particular, the first treatment scores were lowered by 2 points, and the third treatment scores were raised by 2 points. As a result, the three sample means are now much more spread out.

Before you begin the calculation, predict how the changes in the data should influence the outcome of the analysis. That is, how will the F-ratio for these data compare with the F-ratio from above?
Treatment ATreatment BTreatment C
172222
171926
202025
182323
F-ratio =
p-value =
Conclusion:
η2=\displaystyle \eta^{{2}}=