# Question

Refer to Exercise 14.1. The researchers decide to use the following model, which relates the response variable y to the four instructional conditions.

y = μ + τi + ɛij for i = 1, 2, 3, 4 and j = 1, 2, 3, 4, 5

a. Write an equation relating the mean reasoning score, μi, to the parameters in the above model without any constraints on the model parameters.

b. Rewrite the equation relating the mean reasoning score, μi, to the parameters in the above model after imposing the standard constraints placed on the model parameters.

y = μ + τi + ɛij for i = 1, 2, 3, 4 and j = 1, 2, 3, 4, 5

a. Write an equation relating the mean reasoning score, μi, to the parameters in the above model without any constraints on the model parameters.

b. Rewrite the equation relating the mean reasoning score, μi, to the parameters in the above model after imposing the standard constraints placed on the model parameters.

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