Calculate variance for user retention

Last updated: August 27, 2025

Quick Overview

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

JPMorgan
Analytics & Experimentation
Data Scientist
JPMorgan
August 27, 2025
Data Scientist
Take-home Project
Analytics & Experimentation
Medium

119

14

4,679 solved


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

Analytics questions at JPMorgan evaluate your ability to define metrics, design experiments, and derive actionable insights from data. This Take-home Project question tests your end-to-end analytical thinking.

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
Guardrail metrics
Network effects and interference
Long-term vs short-term metrics
Segmentation and heterogeneous effects
Sample size and power calculation
Novelty and primacy effects
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 seasonality in your experiment?
  • How would you handle an experiment where the control and treatment groups are different sizes?
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