Test whether two user populations differ

Q: Test whether two user populations differ

This question evaluates competency in statistical inference and multivariate analysis, covering hypothesis formulation about equal distributions, preprocessing and normalization considerations, choice of statistical tests or modeling approaches, and interpretation of significance and effect size.

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Question

Problem

You are given two groups of users:

Group A: North America users
Group B: Europe users

Each user has a vector of continuous features (e.g., session duration, click-through rate, purchase conversion rate, etc.).

Task

Describe how you would determine whether the two groups differ significantly in their overall multivariate distribution.

Your answer should cover:

Hypotheses (what does “same distribution” mean?)
Preprocessing/normalization considerations
One or more statistical tests or modeling approaches
How you would report significance and effect size
Pitfalls (multiple testing, confounding, non-IID, heavy tails, missing data)

Test whether two user populations differ

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Test whether two user populations differ

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