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 ( ij 0), all column means are equal ( j 0), and all row means are equal ( i 0), respectively Row Column 1 2 3 1 2 3 4 3 1 4 2 2 7 4 9 2 9 4 9 3 2 4 5 2 7 2 9 1 8 3 0 2 9 2 3 2 4 3 7 4 0 4 6 3 0 3 9 4 4 5 0 2 5 4 2

Question: Given the following observations in a two-way classification with a = 3, b = 4, and c = 2, compute the F-statistics used to test

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 (ϒ_ij = 0), all column means are equal (β_j = 0), and all row means are equal (α_i = 0), respectively.

Row/Column 1 2 3 1 2 3 4 3.1 4.2 2.7 4.9

Row/Column 1 2 3 1 2 3 4 3.1 4.2 2.7 4.9 2.9 4.9 3.2 4.5 2.7 2.9 1.8 3.0 2.9 2.3 2.4 3.7 4.0 4.6 3.0 3.9 4.4 5.0 2.5 4.2

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