Calculate variance for user retention

Last updated: November 21, 2025

Quick Overview

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

Notion
Analytics & Experimentation
Data Scientist
Notion
November 21, 2025
Data Scientist
Phone Screen
Analytics & Experimentation
Medium

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1,245 solved


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

Notion asks this during the Phone Screen to assess your experimentation skills. They want to see how you define success metrics, design controlled experiments, and interpret results with appropriate statistical rigor.

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
Segmentation and heterogeneous effects
A/B testing methodology
Long-term vs short-term metrics
Network effects and interference
Sample size and power calculation
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
  • How would you handle interference between treatment and control?
  • 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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