Day 12 Practice: Hierarchical (Multilevel) Designs

June 25th, 2025

12.1 Review: Hierarchical Designs

  • Remember the definition of experimental unit? The smallest unit to which a treatment is independently applied.
  • Sometimes we find that there are different sizes of experimental units.
  • In such cases, it is important to identify the different experimental units and the randomization scheme. We may be in front of a multilevel design.
Schematic description of a field experiment with a split-plot design

Figure 12.1: Schematic description of a field experiment with a split-plot design

Schematic description of a swine experiment with a split-plot design

Figure 12.2: Schematic description of a swine experiment with a split-plot design

  • Sometimes, these differences in the sizes of EUs are not that easy to notice.
  • More details in Analysis of Messy Data - Ch5.

12.1.1 More pictures:

Example 1 - RCBD
Example 1 - RCBD
Example 2 - RCBD
Example 2 - RCBD
Example 3
Example 3

12.3 Tomorrow

  • Zoom classes – we will use the link for the office hours