Homework SourseFor the following Randomized Block ANOVA Table where Type I
For the following Randomized Block ANOVA Table where Type I error = 0.03, we can say that
Answer Choices:
a) all population are different
b) at least two population means are equal
c) all Blocks are different
d) at least two Blocks differ
Please explain how to solve this.
| Source of Variation | SS | df | MS | F | P-value | F critical |
| Treatments | 29.733 | 2 | 14.867 | 6.511 | 0.02097 | 4.459 |
| Blocks | 336.933 | 4 | 84.233 | 36.891 | 0.00335 | 3.838 |
| Error | 18.267 | 8 | 2.283 | |||
| Total | 384.933 | 12 |
Solution
H0: All populations are equal
Ha: Atleast two populations differ
Two tailed F test
Alpha =0.03
p value for treatments =0.02097
and p for blocks = 0.00335
As p <alpha in both the cases reject null hypothesis at 3% level
Conclusion:d) at least two Blocks differ
