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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.