Question: Consider an experiment designed to compare the response to two different fertilizers, each at three different amounts. The two-factor cell means model is appropriate with

Consider an experiment designed to compare the response to two different fertilizers, each at three different amounts. The two-factor cell means model is appropriate with ; denoting the mean response of the jth amount of the ith fertilizer. Suppose that the lowest level of each fertilizer is zero. It follows that the means satisfy the relation #1423-

a. Write the reduced model that is appropriate if this constraint is imposed.

b. Write the design matrix for this reduced model.

c. Assuming n observations per cell, determine the estimates of the cell means.

d. Suppose this constraint is ignored in the analysis. Comment on the possible effect on the hypothesis of no interaction. Section 9.4

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