Calculate variance for coin flips
Last updated: May 26, 2026
Quick Overview
Given the following scenario about revenue per session, calculate the the p-value.
Square/Block
May 26, 202647
5
1,293 solved
Given the following scenario about revenue per session, calculate the the p-value.
Square/Block asks this during the Take-home Project 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 complex experimentation strategies for tricky scenarios
- Handle multi-armed bandits, switchback experiments, and quasi-experiments
- Address long-term effects vs short-term metrics
- Propose causal inference methods when randomization is not possible
- Build a measurement framework that connects metrics to business value
- Discuss organizational experimentation culture and maturity
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 would you do if a stakeholder wants to end the experiment early because initial results look good?
- What if the experiment shows a positive short-term effect but you suspect a negative long-term impact?
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Problem Setup
To calculate the p-value for the variance in revenue per session from coin flips, we need to frame our analytical question as follows: "Is there a statistically significant difference in revenue per s...
Methodology
We will employ a two-sample F-test to evaluate the variances of revenue per session between the two groups (heads and tails). The null hypothesis (H0) is that the variances are equal (σ1² = σ2²) while...
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