Crd Layout
1. The problem: Understand the layout procedure for Completely Randomized Design (CRD) and how to make it.
2. CRD is a basic experimental design where all experimental units are assigned to treatments completely at random.
3. The formula or principle: Each treatment is randomly assigned to experimental units without any restrictions.
4. Important rules:
- Treatments should be randomly allocated to avoid bias.
- Each experimental unit receives exactly one treatment.
- The number of replications per treatment should be decided based on the experiment's objective.
5. Steps to make a CRD layout:
- Identify the number of treatments, say $t$.
- Decide the number of replications per treatment, say $r$.
- Total experimental units $N = t \times r$.
- List all experimental units.
- Randomly assign treatments to each experimental unit ensuring each treatment appears $r$ times.
6. Example: If you have 3 treatments ($t=3$) and 4 replications ($r=4$), total units $N=12$.
- Label units 1 to 12.
- Randomly assign treatments A, B, C each 4 times across units.
7. This randomization ensures that the effect of treatments can be tested without bias from other factors.
8. Summary: CRD layout is made by randomly assigning treatments to experimental units with equal replications, ensuring unbiased and simple experimental design.