In: Statistics and Probability
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:
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:
η2=________________