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A/B Testing and Experimental Design

Overview

A/B testing applies ANOVA and hypothesis testing principles to compare treatments in controlled experiments.

Design Principles

  • Randomization: Randomly assign subjects to treatment groups
  • Control: Include a baseline/control group
  • Replication: Ensure adequate sample size per group

Connection to ANOVA

A/B testing with \(k > 2\) groups is a one-way ANOVA. The F-test determines if any group differs, followed by post-hoc comparisons to identify which groups differ.