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Bayesian Stopping Rules

Real-time monitoring with automated early-stop recommendations

3
Active Monitors
1
Ready to Stop
1
Graduated
86.6%
Avg Confidence
1 experiment ready to stop

Expected loss is below threshold — review and deploy winners

How Bayesian Stopping Works
1

Compute posterior distributions for each variant's conversion rate using Beta-Binomial model

2

Calculate expected loss — the cost of choosing the wrong variant if we stop now

3

Compare expected loss against your configured threshold (e.g., 0.05%)

4

When loss drops below threshold, recommend stopping and deploying the winner

Checkout Button Color

Recommend Stop

Day 18 · 49,000 samples

low risk
Control (Blue)
7.54%
1,847 / 24,500
Variant (Green)
8.80%
2,156 / 24,500
0.012%
Expected Loss
threshold: 0.05%
99.2%
P(B > A)
100%
Sample
95% Credible Interval (B − A)
0%
0.68%
1.94%
Expected Loss Trend
Posterior Probability

Stop and deploy Variant (Green). Expected loss is well below threshold with 99.2% probability of being the winner.

Pricing Page Layout

Monitoring

Day 12 · 30,400 samples

medium risk
Control (Grid)
5.87%
892 / 15,200
Variant (Comparison)
6.14%
934 / 15,200
0.380%
Expected Loss
threshold: 0.1%
72.4%
P(B > A)
61%
Sample
95% Credible Interval (B − A)
0%
-0.42%
0.96%
Expected Loss Trend
Posterior Probability

Continue monitoring. Expected loss (0.38%) still above threshold. Credible interval includes zero — insufficient evidence.

Onboarding Flow Length

Continue

Day 8 · 16,200 samples

high risk
Control (5 steps)
5.22%
423 / 8,100
Variant (3 steps)
5.49%
445 / 8,100
0.850%
Expected Loss
threshold: 0.2%
61.8%
P(B > A)
36%
Sample
95% Credible Interval (B − A)
0%
-0.91%
1.45%
Expected Loss Trend
Posterior Probability

Continue — too early to call. Only 36% of required sample collected. Expected loss is 4x above threshold.

Hero Image A/B

Stopped

Day 24 · 76,000 samples

low risk
Control (Photo)
8.45%
3,210 / 38,000
Variant (Illustration)
9.30%
3,534 / 38,000
0.003%
Expected Loss
threshold: 0.05%
99.8%
P(B > A)
100%
Sample
95% Credible Interval (B − A)
0%
0.42%
1.28%
Expected Loss Trend
Posterior Probability

Experiment stopped. Variant (Illustration) deployed as winner with 99.8% confidence.

Search Algorithm v2

Graduated

Day 30 · 104,000 samples

low risk
Control (v1)
9.85%
5,120 / 52,000
Variant (v2)
11.20%
5,824 / 52,000
0.001%
Expected Loss
threshold: 0.05%
100.0%
P(B > A)
100%
Sample
95% Credible Interval (B − A)
0%
0.95%
1.75%
Expected Loss Trend
Posterior Probability

Graduated to production. Variant (v2) showed a consistent 1.35pp lift with near-certainty.

Live monitoring active · Last updated 1:54:37 AM