Question

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?

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)

Answer 1

In a randomized block design with the experimental units blocked by gender , each male and female should assigned to each treatment.

In the last design,

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

Treatment A is assigned only to females and Treatment B is assigned only to males. So , this is not randomized block design.

The incorrect assignment of treatments is,

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