A/B Test Statistics Calculator
Calculate statistical significance for A/B tests - know when your results are real, not random chance.
When to Use This Skill
- Test analysis - Determine if results are statistically significant
- Sample planning - Calculate required sample size before testing
- Duration estimation - Know how long to run experiments
- Power analysis - Ensure tests can detect meaningful differences
What Claude Does vs What You Decide
| Claude Does |
You Decide |
| Structures analysis frameworks |
Metric definitions |
| Identifies patterns in data |
Business interpretation |
| Creates visualization templates |
Dashboard design |
| Suggests optimization areas |
Action priorities |
| Calculates statistical measures |
Decision thresholds |
Dependencies
pip install scipy numpy click
Commands
Check Significance
python scripts/main.py significance --control 1000,50 --variant 1000,65
python scripts/main.py significance --control 5000,250 --variant 5000,300 --confidence 0.99
Calculate Sample Size
python scripts/main.py sample-size --baseline 0.05 --mde 0.02
python scripts/main.py sample-size --baseline 0.10 --mde 0.01 --power 0.90
Estimate Duration
python scripts/main.py duration --traffic 1000 --baseline 0.05 --mde 0.02
Examples
Example 1: Analyze Test Results
# Control: 1000 visitors, 50 conversions (5%)
# Variant: 1000 visitors, 65 conversions (6.5%)
python scripts/main.py significance --control 1000,50 --variant 1000,65
# Output:
# A/B Test Results
# ─────────────────────────
# Control: 5.00% (50/1000)
# Variant: 6.50% (65/1000)
# Lift: +30.0%
#
# Statistical Analysis
# ─────────────────────────
# p-value: 0.089
# Confidence: 91.1%
# Result: NOT SIGNIFICANT (need 95%)
#
# Recommendation: Continue test for more data
Example 2: Plan Sample Size
# Baseline 5% conversion, want to detect 20% relative lift (1% absolute)
python scripts/main.py sample-size --baseline 0.05 --mde 0.01
# Output:
# Sample Size Calculator
# ──────────────────────────────
# Baseline conversion: 5.0%
# Minimum detectable effect: 1.0% (20% relative)
# Target conversion: 6.0%
#
# Required per variant: 3,842 visitors
# Total required: 7,684 visitors
#
# At 1000 daily visitors: ~8 days
Key Concepts
| Term |
Definition |
| p-value |
Probability result is due to chance |
| Confidence |
1 - p-value (usually want 95%+) |
| Power |
Probability of detecting real effect (usually 80%) |
| MDE |
Minimum Detectable Effect - smallest lift worth detecting |
| Lift |
Relative improvement (variant - control) / control |
When Results Are Significant
| p-value |
Confidence |
Verdict |
| < 0.01 |
> 99% |
Highly Significant ✓ |
| < 0.05 |
> 95% |
Significant ✓ |
| < 0.10 |
> 90% |
Marginally Significant |
| ≥ 0.10 |
< 90% |
Not Significant ✗ |
Skill Boundaries
What This Skill Does Well
- Structuring data analysis
- Identifying patterns and trends
- Creating visualization frameworks
- Calculating statistical measures
What This Skill Cannot Do
- Access your actual data
- Replace statistical expertise
- Make business decisions
- Guarantee prediction accuracy
Related Skills
Skill Metadata
category: analytics
subcategory: statistics
dependencies: [scipy, numpy]
difficulty: intermediate
time_saved: 3+ hours/week
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