Randomize the guest or the listing? The choice changes your answer
Test selectionHardProblem. For a marketplace change, you can randomize on the guest side or the listing side. How do you choose, and how does the choice affect bias and variance?
Before you reveal: say your answer out loud, as if you were in the real interview — get your reasoning across clearly first. There is no single correct answer: reading what the interviewer is really after and defending your own thinking is what makes an answer strong.
Clarify the question first
- "Which side does the intervention primarily act on — does it change guest behavior, listing visibility, or both?"
- "Which side is scarcer in the markets we care about — supply-constrained or demand-constrained?"
- "What's the estimand and how much interference does each design leave?"
Lay out your approach
- The two designs contain different interference. Guest-side randomization keeps a guest's whole experience consistent but lets treated and control guests compete for the same listings (supply-side interference remains). Listing-side randomization keeps a listing's treatment consistent but lets treated and control listings compete for the same guests (demand-side interference remains).
- Match the randomization to the scarce side. Roughly, randomize the side that is not the bottleneck, so the competition that biases you is minimized. In a supply-constrained market, guest-side leaves heavy supply competition; a listing-side or market design may be better, and vice versa.
- Weigh variance too. The side with more units gives more power; the sides differ in outcome variance.
- When both interfere strongly, escalate to market-level clustering.
Then check in: "Guest-side and listing-side each leave a different interference (supply vs demand competition), so I'd match the design to the scarce side and weigh the variance, escalating to market clusters if both interfere. Want me to reason through a supply-constrained case?"
Simulate the back-and-forth
Land a clear conclusion
Key summary — what really matters.
- Each side leaves different interference: guest-side → supply competition; listing-side → demand competition.
- Randomize away from the scarce side so the arm boundary avoids the bottleneck.
- Supply-constrained → listing/market design; demand-constrained → guest-side.
- Weigh variance/power too — it's a joint bias/variance choice.
- Escalate to market clustering when both sides interfere.
Which interference remains. Let be supply-side interference (guests competing for listings) and demand-side (listings competing for guests). Roughly:
| Design | Clean unit | Interference left | Best when |
|---|---|---|---|
| Guest-side | Guest experience | (supply competition) | Demand-constrained markets |
| Listing-side | Listing treatment | (demand competition) | Supply-constrained markets |
| Market cluster | Whole market | Neither (contained) | Both sides tight; costs power |
The bias of each design scales with the interference it leaves; pick the design whose remaining interference is smallest given which side is scarce.
Variance. With guests and listings, the side with more independent units and lower outcome variance gives tighter estimates. Listing-level bookings are lumpy (a few listings dominate), inflating variance; guest-level bookings are sparse. The full decision minimizes (bias + variance), which is why neither side is a universal default.
| Dimension | What interviewers look for | Below the bar ❌ | Above the bar ✅ |
|---|---|---|---|
| Framing & estimand | Whether you see each side leaves different interference. | "Just randomize users." | Guest-side vs listing-side leave supply vs demand competition. |
| Design validity | Whether you match design to the scarce side. | Pick a default with no reasoning. | Randomize away from the bottleneck; escalate to market clusters. |
| Statistical rigor | Whether you weigh variance too. | Bias only. | Joint bias/variance; unit counts and skew. |
| Decision & trade-offs | Whether the choice is market-specific. | One-size-fits-all. | Supply- vs demand-constrained drives the choice. |
| Communication | Whether you convey the intuition. | Jargon. | "Keep the arm boundary off the scarce resource." |
Strong-answer signal: recognizing that guest-side and listing-side randomization leave supply- vs demand-side interference, matching the design to the scarce side, and treating it as a joint bias/variance decision. Common trap: defaulting to user-level randomization with no awareness that the side you randomize determines which interference biases you.