phuryn/pm-skills

ab-test-analysis

Analyze A/B test results with statistical significance, sample size validation, confidence intervals, and ship/extend/stop recommendations.

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A/B Test Analysis

Evaluate A/B test results with statistical rigor and translate findings into clear product decisions.

Context

You are analyzing A/B test results for $ARGUMENTS.

If the user provides data files (CSV, Excel, or analytics exports), read and analyze them directly. Generate Python scripts for statistical calculations when needed.

Instructions

  1. Understand the experiment:
  • What was the hypothesis?
  • What was changed (the variant)?
  • What is the primary metric? Any guardrail metrics?
  • How long did the test run?
  • What is the traffic split?
  1. Validate the test setup:
  • Sample size: Is the sample large enough for the expected effect size?
  • Use the formula: n = (Z²α/2 × 2 × p × (1-p)) / MDE²
  • Flag if the test is underpowered (<80% power)
  • Duration: Did the test run for at least 1-2 full business cycles?
  • Randomization: Any evidence of sample ratio mismatch (SRM)?
  • Novelty/primacy effects: Was there enough time to wash out initial behavior changes?
  1. Calculate statistical significance:
  • Conversion rate for control and variant
  • Relative lift: (variant - control) / control × 100
  • p-value: Using a two-tailed z-test or chi-squared test
  • Confidence interval: 95% CI for the difference
  • Statistical significance: Is p < 0.05?
  • Practical significance: Is the lift meaningful for the business?

If the user provides raw data, generate and run a Python script to calculate these.

  1. Check guardrail metrics:
  • Did any guardrail metrics (revenue, engagement, page load time) degrade?
  • A winning primary metric with degraded guardrails may not be a true win
  1. Interpret results:
OutcomeRecommendation
Significant positive lift, no guardrail issuesShip it — roll out to 100%
Significant positive lift, guardrail concernsInvestigate — understand trade-offs before shipping
Not significant, positive trendExtend the test — need more data or larger effect
Not significant, flatStop the test — no meaningful difference detected
Significant negative liftDon't ship — revert to control, analyze why
  1. Provide the analysis summary:
   ## A/B Test Results: [Test Name]

   **Hypothesis**: [What we expected]
   **Duration**: [X days] | **Sample**: [N control / M variant]

   | Metric | Control | Variant | Lift | p-value | Significant? |
   |---|---|---|---|---|---|
   | [Primary] | X% | Y% | +Z% | 0.0X | Yes/No |
   | [Guardrail] | ... | ... | ... | ... | ... |

   **Recommendation**: [Ship / Extend / Stop / Investigate]
   **Reasoning**: [Why]
   **Next steps**: [What to do]

Think step by step. Save as markdown. Generate Python scripts for calculations if raw data is provided.


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