Calculate expected value for click-through rates
Last updated: August 13, 2025
Quick Overview
Given the following scenario about user conversion, calculate the the p-value.
Meta
August 13, 202512
4
1,483 solved
Given the following scenario about user conversion, calculate the the p-value.
Meta asks this during the Technical 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
How to Approach This
- Define success metrics carefully. A good metric is measurable, actionable, and aligned with business goals.
- Run experiments long enough to account for novelty effects and weekly seasonality.
- Use funnel analysis to identify where users drop off for maximum optimization impact.
- Segment results by key dimensions (platform, country, user cohort) to catch hidden patterns.
- Consider network effects and interference between treatment and control groups.
Possible Follow-up Questions
- How would you handle seasonality in your experiment?
- What if the experiment shows a positive short-term effect but you suspect a negative long-term impact?
- How would you handle an experiment where the control and treatment groups are different sizes?
- What if you discover a bug in the logging during the experiment?
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Browse Analytics QuestionsSample Answer
Problem Setup
To calculate the expected value for click-through rates (CTR) for Meta, we need to define a clear analytical question: "What is the expected CTR for a new ad campaign compared to a control group?" The...
Methodology
The analysis will employ a two-tailed t-test to calculate the p-value for the difference in CTR between the treatment and control groups. The formula for the t-statistic is:
[ t = \frac{(\bar{X}_1 -...
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