Question

A citrus farmer wants to know which of three fertilizers (A, B, and C) is most effective for increasing the number of oranges on his trees. He is willing to use 30 mature trees of various sizes from his orchard in an experiment with a randomized block design. a. Describe a randomized block design for this experiment. Justify your choice of blocks. b. Explain why a randomized block design might be preferable to a completely randomized design for this experiment.

Answer 1

Description of a Randomized block design for the experiment :

Randomized block design involved the divison of subjects into units, called block. After which treatment are randomly applied to elements or subjects in each block.

Here, we make divide the 30 mature trees into 3 which means we have 3 blocks of 10 mature trees each. The citrus fertilizers A, B and C are then applied randomly to each of the three units.

B.)

The randomized block design used in these experiments will correct for the possible error which could be introduced die to systematic error since each of the treatments(fertilizers A, B and C) would be used in each of the blocks.

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