Homework SourseSelfTest Tutorial Exercise 1321 Consider the experimental re
Self-Test Tutorial
{Exercise 13.21}
Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table.
Use = .05 to test for any significant differences. Show entries to 2 decimals, if necessary.
The p-value is
What is your conclusion?
| Treatment | ||||
| A | B | C | ||
| 1 | 11 | 10 | 8 | |
| 2 | 12 | 6 | 6 | |
| Blocks | 3 | 19 | 15 | 15 |
| 4 | 21 | 18 | 19 | |
| 5 | 8 | 7 | 9 |
Solution
P value at 5% level of significance is - F(2,8)=19.37, here calculated value is less than tabulated value, so we accept null hypothesis i.e. there is no signjficant diffefence between treatments. And F(4,8)=6.04, here calculated value is less than tabulated value, so we accept null hypothesis i.e. there is no signjficant diffefence between blocks.
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
| Treatments | 1551.6 | (3-1)=2 | 775.8 | -13.17 |
| Blocks | -705.47 | (5-1)=4 | -176.37 | 2.99 |
| Error | -471.2 | (15-5-3+1)=8 | -58.9 | |
| Total | 374.93 | (15-1)=14 |
