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3. Consider the two-way anova model Yijr = + i + j + (a)ij + Eijr where i = 1,2, j = 1, 2,

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3. Consider the two-way anova model Yijr = + i + j + (a)ij + Eijr where i = 1,2, j = 1, 2, r = 1,2. Assume the restrictions - 2 2 = =1; = =1();; = =1();; = 0 and that ;;, are independent with i=1 mean 0 and variance o2. Write this model as a general linear model of the form Y = XB + by completing the following steps. NOTE: (a)ij is a separate parameter, and it is not the product of a; and . You could rename it Vij (a) ij. = a) Define the parameter vector . Note the restrictions means there are less parameters than meets the eye. b) Define the model matrix X corresponding to this model. c) Define the outcome and error vectors, Y, .

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