Paired Comparison Algorithm

A Paired Comparison Algorithm is a comparison algorithm that evaluates paired differences between matched observations or paired models.

• AKA: Matched-Pair Comparison Algorithm, Paired Statistical Test Algorithm.
• Context:
  • It can (typically) analyze Paired Data Structures with dependent observations.
  • It can (typically) control Individual Variation through within-subject comparisons.
  • It can (typically) increase Statistical Power by reducing between-subject variability.
  • It can (typically) handle Before-After Designs and matched-pair designs.
  • ...
  • It can (often) require Smaller Sample Sizes than independent comparison algorithms.
  • It can (often) detect Subtle Differences masked by individual variations.
  • ...
  • It can range from being a Parametric Paired Comparison Algorithm to being a Non-Parametric Paired Comparison Algorithm, depending on its distribution assumptions.
  • It can range from being a Two-Sample Paired Comparison Algorithm to being a Multi-Sample Paired Comparison Algorithm, depending on its comparison count.
  • It can range from being a Simple Paired Comparison Algorithm to being a Complex Paired Comparison Algorithm, depending on its test complexity.
  • It can range from being a Exact Paired Comparison Algorithm to being a Approximate Paired Comparison Algorithm, depending on its computation method.
  • ...
• Example(s):
  • Paired t-Test Algorithms for mean comparisons.
  • Wilcoxon Signed-Rank Test Algorithms for non-parametric comparisons.
  • McNemar's Test Algorithms for binary paired data.
  • 5x2 Cross-Validation Algorithms for classifier comparisons.
  • Sign Test Algorithms for median comparisons.
  • ...
• Counter-Example(s):
  • Independent Sample Test Algorithms, which assume independent observations.
  • ANOVA Algorithms, which compare multiple groups simultaneously.
  • Unpaired Comparison Algorithms, which lack matching structures.
• See: Statistical Test Algorithm, Matched-Pair t-Test, McNemar's Test, Sign Test, 5x2 Cross-Validation Algorithm, Comparison Task, Hypothesis Test.

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