Question

The following data were obtained in a study using three separate samples to compare three different treatments. Conduct an analysis of variance with α=0.05 to determine whether these data are sufficient to conclude that there are significant differences between the treatments.

Treatment A	Treatment B	Treatment C
9	5	12
8	7	10
7	7	10
8	5	8

F-ratio =____________________
p-value =__________________
Conclusion:

• __These data do not provide evidence of a difference between the treatments
• __There is a significant difference between treatments

η2=_____________

The above data was changed by increasing the variance within each sample (note below how the data sets have changed).

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 A	Treatment B	Treatment C
10	4	13
8	8	10
6	7	10
8	5	7

F-ratio =________________
p-value =_______________
Conclusion:

• ___There is a significant difference between treatments
• ___These data do not provide evidence of a difference between the treatments

η2=________________

Answer 1