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Analyze Comment Distribution Using Statistical Metrics and Tests

Last updated: Mar 29, 2026

Quick Overview

This question evaluates a data scientist's proficiency in statistical analysis of count data, concentration metrics, distributional modeling, and hypothesis testing to determine whether comment engagement is evenly spread or dominated by a small fraction of posts, and it belongs to the Analytics & Experimentation domain.

  • medium
  • Meta
  • Analytics & Experimentation
  • Data Scientist

Analyze Comment Distribution Using Statistical Metrics and Tests

Company: Meta

Role: Data Scientist

Category: Analytics & Experimentation

Difficulty: medium

Interview Round: Onsite

##### Scenario You are analysing comment activity on a social media app to understand whether engagement is evenly spread across posts or dominated by a few viral ones. ##### Question How would you quantitatively evaluate the distribution of comments per post? Which metrics or statistical tests would you choose, why, and what hypotheses would you formulate? ##### Hints Consider Gini, Lorenz curve, power-law fit, chi-square or KS tests versus theoretical distribution.

Quick Answer: This question evaluates a data scientist's proficiency in statistical analysis of count data, concentration metrics, distributional modeling, and hypothesis testing to determine whether comment engagement is evenly spread or dominated by a small fraction of posts, and it belongs to the Analytics & Experimentation domain.

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Meta
Aug 4, 2025, 10:55 AM
Data Scientist
Onsite
Analytics & Experimentation
2
0

Assessing Concentration of Comments Across Posts

Scenario

You are analyzing comments on a social media app. Each post i accrues a number of comments C_i over a fixed window (e.g., first 24 hours after posting). You want to know whether engagement is evenly distributed across posts or dominated by a small fraction of viral posts.

Task

Propose a quantitative approach to evaluate the distribution of comments per post:

  1. Define the core variable(s) you will analyze and any normalizations (e.g., time window, exposure-adjusted rates).
  2. Specify descriptive and concentration metrics you will compute, and why they are informative (e.g., Lorenz curve, Gini coefficient, top-k share).
  3. Describe distributional models you would consider (e.g., Poisson, Negative Binomial, zero-inflated models, lognormal/power-law tails) and how you would check fit.
  4. Choose statistical tests to assess goodness-of-fit and to compare distributions across cohorts or time.
  5. Formulate clear hypotheses that distinguish "evenly spread" from "dominated by few" and how you would test them.

Assume you have large sample sizes and can segment by country, surface, or time period as needed.

Solution

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