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QUESTION 4 [20 Marks] (a) Suppose the data for five observations in a row-by-column analysis of variance are as follows Row Column 1 2 6

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QUESTION 4 [20 Marks] (a) Suppose the data for five observations in a row-by-column analysis of variance are as follows Row Column 1 2 6 4 2 6, 42 12 The analogy for unbalanced data of the analysis of variance for the interaction sum of squares is ni (i) Use the above data to show that this expression is not positive definite. (ii) Why then can it not be described as a sum of squares? (8+2=10)

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