Validates the statistical significance of an A/B / feature-flag experiment result - computes per-metric effect size + p-value (chi-square for proportions, Welch's t-test for continuous metrics), applies a multiple-comparison correction (Bonferroni / Benjamini-Hochberg) when N>1 metric, surfaces practical-vs-statistical-significance distinction, and emits a ship/don't-ship verdict per metric. Use when an experiment has finished and someone is about to ship the winning variant off a dashboard readout, when a result rests on a small sample, or when more than one metric was compared - the rigorous version of "the variant looks better in the dashboard."
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The report this skill emits, for a multi-metric experiment where the primary metric wins but a guardrail metric regresses.
## Experiment validation - `checkout-promo-banner-v2`
**Run period:** 2026-04-15 to 2026-05-05 (21 days)
**Hypothesis:** Promo banner increases checkout completion.
**Variants:** control (12,450 users), treatment_a (12,380 users)
**Multiple-comparisons correction:** Benjamini-Hochberg FDR, α=0.05
**Verdict:** ⚠ MIXED - primary metric significant; secondary regressed.
### Per-metric results
| Metric | Type | Control | Treatment | Effect (rel) | p-value (raw) | p-value (adj) | MDE met? | Verdict |
|---------------------------------|-------------|---------|-----------|--------------|--------------:|--------------:|----------|---------|
| **checkout_completion_rate** | proportion | 68.5% | 70.7% | +3.2% | 0.012 | 0.024 | ✅ (>1%) | ✅ ship |
| avg_session_duration_sec | continuous | 245 | 238 | -2.9% | 0.18 | 0.36 | n/a | ─ no signal |
| avg_revenue_per_user | continuous | $4.21 | $3.98 | -5.5% | 0.044 | 0.088 | ⚠ | ⚠ trend; not significant after FDR |
| signup_rate | proportion | 4.2% | 4.3% | +2.4% | 0.61 | 0.61 | no | ─ no signal |
| support_tickets_per_user | continuous | 0.12 | 0.14 | +16.7% | 0.008 | 0.024 | ✅ | ⚠ ship-blocker - investigate |
### Verdict explanation
The primary metric (checkout completion) shows a 3.2% relative lift
that's statistically significant after FDR correction (p_adj=0.024)
and meets the MDE (>1%). On its own, this is a ship signal.
However:
- support_tickets_per_user shows a +16.7% relative increase
(p_adj=0.024; significant). This is a ship-blocker; investigate
what about the promo banner is causing more tickets.
- avg_revenue_per_user trends down (-5.5%) but isn't significant
after correction (p_adj=0.088). Cautionary signal; investigate
whether the lift in completion comes at the cost of basket size.
### Recommendation
PAUSE the ship. Investigate:
1. Why support tickets increased (categorize the new tickets;
identify the issue type).
2. Whether revenue per user is genuinely down or artifact of
variance.
If both are addressed, re-run for additional 7 days to validate.
### Power analysis
The experiment had sufficient power (>80%) to detect a 1% relative
lift on the primary metric. For revenue (-5.5% observed but not
significant): would need ~22,000 users per variant for 80% power;
current 12,400 is under-powered.