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3.6 Selecting an Experimental Design

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Randomized Block Design

A randomized block design reduces the effect of known variation.

Why use blocks?

  • When there is a variable (like gender, age, pre-existing conditions) that you know will affect the response
  • Blocking on that variable reduces variability within groups
  • Makes it easier to detect the effect of the treatment

How it works:

  1. Divide units into blocks based on a characteristic (e.g., block by sex: male/female)
  2. Within each block, randomly assign treatments
  3. Analyze the results for each block separately, then combine

Example: Testing a new teaching method on high school students — block by grade level (9, 10, 11, 12) because academic performance differs by grade. Within each grade, randomly assign students to new vs. traditional method.

Block

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