Answer:
False.
Step-by-step explanation:
In a randomized complete block design, the number of treatments and blocks does not necessarily have to be equal. A randomized complete block design is a statistical design used in experiments to reduce the influence of confounding variables. It involves dividing the experimental units into blocks based on specific characteristics and randomly assigning the treatments within each block.
The key requirement in a randomized complete block design is that each treatment appears once within each block. As long as each treatment is represented, the number of treatments can differ from the number of blocks. This allows for a more accurate comparison of the treatments while controlling for the potential influence of the block variable.
For example, let's say we have three different treatments and two blocks. Each treatment would be randomly assigned to both blocks, ensuring all treatments were tested within each block. This design allows for a balanced representation of treatments within the blocks, regardless of the specific number of treatments and blocks.
So, in summary, the number of treatments and blocks in a randomized complete block design does not have to be equal, but each treatment should be present in each block to ensure accurate comparisons.