Multi-Armed Bandits vs. Fixed-Horizon A/B Tests: Choosing an Allocation Strategy

📅 2026-07-27

Multi-Armed Bandits vs. Fixed-Horizon A/B Tests: Choosing an Allocation Strategy

A fixed-horizon A/B test asks a static question: split traffic evenly, run until you hit a pre-computed sample size, then read the result. A multi-armed bandit asks a moving one: which arm looks best right now, and how much traffic should it get this hour? Both are legitimate ways to run an experiment, but they optimize for different things, and conflating them is why teams end up with bandit output they try — and fail — to read like a standard A/B result. This guide is about picking the right tool and knowing what each one costs you.

Two Machines, Two Different Bets

A fixed-horizon test is built to answer "which variant is better, and by how much, with a stated error rate?" It holds allocation constant (usually 50/50) so that every unit of traffic contributes equally to a single, clean effect estimate at the end. The cost of a wrong-looking variant during the test is fully absorbed — you don't get to react to it until the test is over.

A multi-armed bandit is built to answer "how do I maximize outcomes while I'm still learning?" It shifts traffic toward whichever arm currently looks best, using algorithms like epsilon-greedy, Thompson sampling, or UCB (upper confidence bound) to balance trying new information against cashing in on what it already believes. The cost of a wrong-looking variant is partially avoided in real time, because the bandit routes fewer users to it as evidence accumulates.

Neither is "more rigorous" in the abstract. A fixed-horizon test is more rigorous for producing a comparable, decision-grade effect size. A bandit is more efficient for minimizing the traffic spent on a bad variant while you're finding the good one.

The Exploration-Exploitation Tradeoff, Concretely

Every bandit algorithm is a running answer to one question: spend this next visitor on exploration (learning more about an arm you're unsure of) or exploitation (routing to the arm you currently believe is best)?

The practical effect across all three: adaptive allocation moves traffic away from underperforming arms before you have enough data to say precisely how much worse they were. That's the point of a bandit, but it's also why bandits are a poor source for the kind of effect-size number you'd want to compare against a StatFacts insight card.

Where Adaptive Allocation Quietly Costs You Statistical Power

The traffic a bandit saves you from a losing arm is traffic it also withholds from measuring that arm precisely. Three consequences follow directly:

None of this makes bandits wrong. It means the number a bandit reports as "arm B's rate" is a decision-support figure, not a substitute for the kind of effect estimate you'd log against a benchmark.

A Side-by-Side Comparison

| Dimension | Fixed-horizon A/B test | Multi-armed bandit | ||

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