In a completely randomized experimental design, 18 experimental units were used for the first treatment, 10 experimental units for the second treatment, and 15 experimental units for the third treatment. Part of the ANOVA table for this experiment is shown below.
Source ofVariationSum ofSquares
Degrees ofFreedom
MeanSquare
F
Between
Treatments
_____?
_____?
_____?
3.0Error
(Within Treatments)
_____?
_____?
6
Total_____?
_____?
?
a.Fill inallthe blanks in the above ANOVA table.
b.At the 1% level of significance, test to see if there is a significant difference among the treatment means.
What will be an ideal response?
?
| a. | ||||
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
| Between Treatments | 36 | 2 | 18 | 3.0 |
| Error (Within Treatments) | 240 | 40 | 6 | |
| Total | 276 | 42 | ||
| b. | For F = 3, the p-value is between .05 and .1; do not reject H0 and conclude there is no evidence for a significant different among the treatment means. |
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