Final answer:
The coach's plan violates the principle of random assignment, as players choose their treatment, which could bias the experiment's results.
Step-by-step explanation:
The football coach's plan violates the principle of random assignment. By allowing players to choose which treatment to undergo, the coach is potentially introducing biases and preference-related factors, which can confound the results. Random assignment is critical for reducing potential lurking variables and ensuring that any differences in outcomes are likely due to the treatments themselves and not other factors.