Given the following observations in a two-way classification with a = 3, b = 4, and c = 2, compute the F-statistics used to test that all interactions are equal to zero (Y u = 0), all column means are equal (/Jj = 0), and all row means are equal (a:; = 0), respectively.
|
Row/Column
|
1
|
2 |
3
|
4
|
|
1
|
3.1
|
4.2
|
2.7
|
4.9
|
|
|
2.9
|
4.9
|
3.2
|
4.5
|
|
2
|
2.7
|
2.9
|
1.8
|
3.0
|
|
|
2.9
|
2.3
|
2.4
|
3.7
|
|
3
|
4.0
|
4.6
|
3.0
|
3.9
|
|
|
4.4
|
5.0
|
2.5
|
4.2
|