onditions. 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 in the means for the treatments. Treatment A Treatment B Treatment C 6 4
The following data represent the results from an independent-measures experiment comparing three treatment conditions. 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 in the means for the treatments.
| Treatment A | Treatment B | Treatment C |
|---|---|---|
| 6 | 4 | 13 |
| 4 | 6 | 11 |
| 4 | 9 | 7 |
| 6 | 6 | 10 |
| 5 | 5 | 9 |
F-ratio (F-test statistic) =
p-value =
Conclusion:
- The data does not provide evidence of a significant difference in the means for the treatments
- There is a significant difference in the means for the treatments
- I was unable to show the treatments are independent
- The data does not provide evidence of a significant
correlation for the treatments - I was able to show the treatments are independent
- There is a significant correlation in the treatments
The results obtained above were primarily due to the mean for the third treatment being noticeably different from the other two sample means. For the following data, the scores are the same as above except that the difference between treatments was reduced by moving the third treatment closer to the other two samples. In particular, 3 points have been subtracted from each score in the third sample.
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 |
|---|---|---|
| 6 | 4 | 10 |
| 4 | 6 | 8 |
| 4 | 9 | 4 |
| 6 | 6 | 7 |
| 5 | 5 | 6 |
F-ratio (F-test statistic) =
p-value =
Conclusion:
- There is a significant difference in the means for the treatments
- I was able to show the treatments are independent
- There is a significant correlation in the treatments
- I was unable to show the treatments are independent
- The data does not provide evidence of a significant correlation for the treatments
- The data does not provide evidence of a significant difference in the means for the treatments
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