5. Lew (2007) presents the data from an experiment to determine whether cultured cells respond to two

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5. Lew (2007) presents the data from an experiment to determine whether cultured cells respond to two drugs. The experiment was conducted using a stable cell line plated onto Petri dishes, with each experimental run in-

volving assays of responses in three Petri dishes: one treated with drug 1, one treated with drug 2, and one untreated serving as a control. The data are shown in the table below:

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(a) Analyze the data as if it came from a completely randomized design using the model yij = +i +ij . Is there a signicant dierence between the treatment groups?

(b) Analyze the data as a RCB design, where experiment number represents a blocking factor.

(c) Is there any dierence in the results you obtain in

(a) and (b)? If so explain what may be the cause of the dierence in the results and which method would you recommend?

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