Question: System A System B System C Controller 1 15 15 19 Controller 2 14 14 14 Controller 3 10 11 16 Controller 4 14 13
| System A | System B | System C | |
| Controller 1 | 15 | 15 | 19 |
| Controller 2 | 14 | 14 | 14 |
| Controller 3 | 10 | 11 | 16 |
| Controller 4 | 14 | 13 | 17 |
| Controller 5 | 17 | 13 | 17 |
| Controller 6 | 14 | 14 | 13 |
Set up the ANOVA table for this problem. Show the entries to 2 decimals, if necessary.
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
| Treatments | fill in the blank 2 | fill in the blank 3 | fill in the blank 4 | fill in the blank 5 |
| Blocks | fill in the blank 6 | fill in the blank 7 | fill in the blank 8 | |
| Error | fill in the blank 9 | fill in the blank 10 | fill in the blank 11 | |
| Total | fill in the blank 12 | fill in the blank 13 |
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
Treatments ______________, __________________, _______________, _________________
Blocks ______________,__________________,_______________
Error ______________,__________________,_______________
total ______________,__________________
Calculate the value of the test statistic (to 2 decimals).
______________
Calculate the critical value (to 2 decimals).
___________
Calculate the p-value (to 4 decimals).
___________
Here was my attempt but I am being marked wrong for some reason
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| Anova: Two-Factor Without Replication | |||||
| SUMMARY | Count | Sum | Average | Variance | |
| Controller 1 | 3 | 49 | 16.33333333 | 5.333333333 | |
| Controller 2 | 3 | 42 | 14 | 0 | |
| Controller 3 | 3 | 37 | 12.33333333 | 10.33333333 | |
| Controller 4 | 3 | 44 | 14.66666667 | 4.333333333 | |
| Controller 5 | 3 | 47 | 15.66666667 | 5.333333333 | |
| Controller 6 | 3 | 41 | 13.66666667 | 0.333333333 | |
| System A | 6 | 84 | 14 | 5.2 | |
| System B | 6 | 80 | 13.33333333 | 1.866666667 | |
| System C | 6 | 96 | 16 | 4.8 | |
| ANOVA | |||||
| Source of Variation | SS | df | MS | F | P-value |
| Rows | 31.11111111 | 5 | 6.222222222 | 2.204724409 | 0.13455116 |
| Columns | 23.11111111 | 2 | 11.55555556 | 4.094488189 | 0.050229483 |
| Error | 28.22222222 | 10 | 2.822222222 | ||
| Total | 82.44444444 | 17 | |||
| sig level (alpha) | 0.1 | ||||
| test statistic | 4.09 | ||||
| criticl value | 2.92 | ||||
| p value | 0.05 | ||||
| reject null? | yes |
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