The following data were obtained in a study using three separate samples to compare three different treatments. Conduct an analysis of variance with α=0.05α=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 24 23 24 25 21 28 23 21 26 24 23 26
The following data were obtained in a study using three separate samples to compare three different treatments. Conduct an analysis of variance with α=0.05α=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 |
|---|---|---|
| 24 | 23 | 24 |
| 25 | 21 | 28 |
| 23 | 21 | 26 |
| 24 | 23 | 26 |
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 |
|---|---|---|
| 24 | 24 | 23 |
| 26 | 20 | 29 |
| 22 | 21 | 26 |
| 24 | 23 | 26 |
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=
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