In a completely randomized design 12 experimental units were
In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary).
At a .05 level of significance, is there a significant difference between the treatments?
The p-value is
What is your conclusion?
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
| Treatments | 1200 | |||
| Error | ||||
| Total | 1800 |
Solution
Find p value for F
p =0.00
As p <0.05, there is significant differnce between the treatments.
p =
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
| Treatments | 1200 | 2 | 600 | 44.00 |
| Error | 600 | 44 | 13.6363 | |
| Total | 1800 | 46 |
