Calculate probability for click-through rates

Last updated: June 1, 2026

Quick Overview

Given the following scenario about revenue per session, calculate the the sample size needed.

Cockroach Labs
Analytics & Experimentation
Data Scientist
Cockroach Labs
June 1, 2026
Data Scientist
Technical Screen
Analytics & Experimentation
Medium

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3,032 solved


Given the following scenario about revenue per session, calculate the the sample size needed.

This analytics question from Cockroach Labs's Technical Screen tests your ability to think critically about data. The interviewer expects you to consider confounding variables, selection bias, and the difference between correlation and causation.

What the Interviewer Expects
  • Design a rigorous experiment with proper randomization and sample size calculation
  • Define primary and guardrail metrics with clear rationale
  • Address novelty effects, network effects, and interference
  • Segment results appropriately and identify heterogeneous treatment effects
  • Propose follow-up analyses when results are ambiguous
Key Topics to Cover
Network effects and interference
Novelty and primacy effects
Long-term vs short-term metrics
Simpson's paradox and ecological fallacy
A/B testing methodology
How to Approach This
  1. Define success metrics carefully. A good metric is measurable, actionable, and aligned with business goals.
  2. Run experiments long enough to account for novelty effects and weekly seasonality.
  3. Use funnel analysis to identify where users drop off for maximum optimization impact.
  4. Segment results by key dimensions (platform, country, user cohort) to catch hidden patterns.
  5. Consider network effects and interference between treatment and control groups.
Possible Follow-up Questions
  • How would you handle an experiment where the control and treatment groups are different sizes?
  • What would you do if a stakeholder wants to end the experiment early because initial results look good?
  • What if you discover a bug in the logging during the experiment?
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