Question: Consider the model for the two-way layout shown in the previous exercise. Suppose r = 2, c = 3, and n = 2. a. Show

Consider the model for the two-way layout shown in the previous exercise.

Suppose r = 2, c = 3, and n = 2.

a. Show the form of a full-rank model matrix X and corresponding parameter vector ???? for the model, constraining ????1 = ????1 = 0 to make ???? identifiable.

Explain how to interpret the elements of ????.

b. Show the form of a full-rank model matrix and corresponding parameter vector ???? when you constrain ∑

i ????i = 0 and ∑

j ????j = 0 to make ????

identifiable. Explain how to interpret the elements of ????.

c. In the full-rank case, what is the rank of X?

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