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For a certain experiment, the available experimental units are 12 people—six females (f) and six males (m). Use (1f, 2f, 3f, 4f, 5f, 6f) to denote the females and (1m, 2m, 3m, 4m, 5m, 6m) to denote the males. There are to be six treatment groups: A, B, C, D, E, and G. If a randomized block design is used, with the experimental units blocked by gender, which assignment of treatments is not correct? (5 points) A: (2f, 1m), B: (1f, 2m), C: (6f, 3m), D: (4f, 4m), E: (3f, 5m), G: (5f, 6m) A: (6f, 5m), B: (2f, 4m), C: (3f, 3m), D: (4f, 2m), E: (5f, 1m), G: (1f, 6m) A: (1f, 1m), B: (2f, 2m), C: (3f, 3m), D: (4f, 4m), E: (5f, 5m), G: (6f, 6m) A: (1f, 2f), B: (1m, 2m), C: (3f, 3m), D: (4f, 4m), E: (5f, 5m), G: (6f, 6m)

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Answer:

I believe the correct answer would be the last one.

Step-by-step explanation:

The units are supposed to be blocked by gender. However, the first two units in the final option are blocked with two females in one group, and two males in the next. This is inconsistent with the blocking method used for the rest of the units.

fichoh

The randomized block design is adopted to minimize the risk of systematic error in an experiment. The incorrect assignment of treatment is ;

  • (1f, 2f), B: (1m, 2m), C: (3f, 3m), D: (4f, 4m), E: (5f, 5m), G: (6f, 6m)

Since the units are blocked by gender, then each of the treatment groups should include atleast one of each gender.

For all the assignments given, only the last assignment include groups which contain only one of the gender ; (1f, 2f), B: (1m, 2m),

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