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Define engagement metrics and analyze comment distribution

MetaData Scientist · Onsite

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This question evaluates a data scientist's competency in metric framework design, distributional analysis of heavy-tailed user behavior, monitoring and anomaly detection, and experimental setup for measuring healthy engagement, including considerations like unit of analysis, treatment of heavy users, and anti-spam guardrails.

You are a Data Scientist for a video platform. A PM asks you to:

  1. Define metrics for “engagement” (they want a clear metric framework they can use in experiments).
  2. Analyze user comment distribution and propose how you would monitor it over time.

Part A — Engagement metric framework

Propose:

  • Primary metric(s) (what you would optimize)
  • Diagnostic metrics (to explain movement)
  • Guardrail metrics (to prevent harmful changes)

Be explicit about:

  • Unit of analysis (user-day, session, video-view, etc.)
  • How you’d handle heavy users / skew (mean vs median, winsorization, log transforms)
  • How you’d prevent gaming (spammy/low-quality engagement)

Part B — Comment distribution

Comments are known to be heavy-tailed (most users comment rarely; a small minority comment a lot).

Describe:

  • What distributions you would compute (by user, by video, by cohort)
  • What slices you would look at (new vs returning users, content categories, geos)
  • How you would detect regressions or anomalies (e.g., bots, spam, ranking changes)
  • What experiment you would run if the goal is to increase “healthy” commenting, including key confounders and how you’d interpret results