Discussion
To examine whether five different skin creams A, B, C, D and E have different effect on the human body, \(n\) randomly chosen persons were enrolled in an experiment. The five creams were applied on each of one randomly chosen fingres of the same person; and the procedure is repeated for each person. The resulting design is :
Answer: C
The design is a randomized block design with \(n\) blocks and five treatments.
Each person is a block: all five creams are applied to that person, on randomly chosen fingers, so differences between people are removed from the comparison of creams. With \(n\) persons and 5 creams, there are \(n\) blocks of 5 plots and 5 treatments.
A completely randomized design would assign creams to persons without blocking. Option B reverses the roles of blocks and treatments, and the creams are applied simultaneously to different fingers rather than in sequence over time, so this is treated as an RBD rather than a repeated measures design.
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