Calculate probability for user retention

Last updated: December 11, 2025

Quick Overview

Given the following scenario about revenue per session, calculate the the p-value.

Redfin
Analytics & Experimentation
Product Manager
Redfin
December 11, 2025
Product Manager
Take-home Project
Analytics & Experimentation
Hard

2

2

3,677 solved


Given the following scenario about revenue per session, calculate the the p-value.

This analytics question from Redfin's Take-home Project 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 complex experimentation strategies for tricky scenarios
  • Handle multi-armed bandits, switchback experiments, and quasi-experiments
  • Address long-term effects vs short-term metrics
  • Propose causal inference methods when randomization is not possible
  • Build a measurement framework that connects metrics to business value
  • Discuss organizational experimentation culture and maturity
Key Topics to Cover
A/B testing methodology
Funnel analysis and cohort analysis
Metric definition and success criteria
Sample size and power calculation
Long-term vs short-term metrics
Simpson's paradox and ecological fallacy
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
  • What if you discover a bug in the logging during the experiment?
  • How would you handle an experiment where the control and treatment groups are different sizes?
  • How would you handle seasonality in your experiment?
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