When to Use Paired vs Independent Designs¶
Overview¶
Choosing between paired and independent designs affects both the confidence interval width and interpretation.
Paired Designs¶
- Same subjects measured twice (before/after)
- Matched pairs based on confounding variables
- Reduces variability by controlling for individual differences
Independent Designs¶
- Different subjects in each group
- Simpler logistics but potentially higher variability
- Required when pairing is not possible
Key Decision Factor¶
Use paired designs when individual-level correlation is expected to be positive, as this reduces the standard error of the difference.