Describe the randomization process and the assignment of

Question

Suppose you have factors A and B, each with three levels, and you run an experiment such that you have n = 4 observations at each A * B combination (i.e., 36 total observations). Describe the randomization process and the assignment of treatment combinations that would result in you treating this experiment as

1. A factorial design
2. A nested design
3. A split-plot design.