1. Suppose that you are planning to run an experiment with one treatment factor

Question

1. Suppose that you are planning to run an experiment with one treatment factor having four levels and no blocking factors. Suppose that the calculation of the required number of observations has given ri = r2 = r3-4-5. Assign at random 20 experimental units to the u = 4 levels of the treatments, so that each treatment is assigned 5 units. 2. Suppose that you are planning to run an experiment with one treatment factor having three levels and no blocking factors. It has been determined that ri = 3, r2 = r3-5. Assign at random 13 experimental units to the u = 3 treatments, so that the first treatment is assigned 3 units and the other two treatments are each assigned 5 units.

Explanation / Answer

b) Now let us denote three levels of treatment as A, B and C. Replications of A are 3 and that of B and C are 5 each. 13 plot layout shows the expected layout.

C

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a) Let us denote four levels of treatment by A,B,C and D. Following is the layout of 20 plots showing four treatment levels have equal number of replications, each with 5.

B

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