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Roku·Data Scientist·Technical Phone Screen·Senior

Senior
May 2026

Summary

Roku data scientist interview that went deep into business analytics for a coffee shop scenario. Three-part case covering profit decomposition, causal inference without an experiment, and rapid experimentation design. Dense and technical, felt more like a consulting case than a typical DS screen.

Questions Asked (3)

Q1

Build a driver tree and decompose an 18% profit drop across unit volume, pricing and discounting, product mix, COGS changes, waste, and labor productivity. Specify exact formulas and your effect-ordering method.

Product Analytics & MetricsRoot Cause Analysis
Author's notes

This is the kind of question where you can sound smart for five minutes and still not actually answer it.

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AI HintsAI Generated

Suggested Approach

Start by defining the profit equation and building a driver tree that decomposes profit into volume, price, discount, mix, COGS, waste, and labor productivity. Then quantify each driver's impact using a sequential effect-ordering method (e.g., volume first, then price, discount, mix, COGS, waste, labor) and reconcile the total to the 18% drop. Present the formulas clearly and explain why the ordering matters for attribution.

Pro tip: Use a waterfall chart to visualize the decomposition and always state your assumptions (e.g., constant mix when isolating volume). This shows you can communicate complex analyses to non-technical stakeholders, a key skill at Roku.

1. Define the Profit Equation and Driver Tree

Write the profit formula: Profit = (Unit Volume × (List Price × (1 - Discount Rate) - Unit COGS)) - Waste Cost - Labor Cost. Build a tree with branches for volume, price, discount, mix, COGS, waste, and labor productivity.

2. Establish Baseline and Current Values

Gather data for the baseline period (before drop) and current period (after drop) for all drivers. Calculate the total profit change and verify it equals the 18% drop.

3. Choose an Effect-Ordering Method

Select a sequential attribution method (e.g., volume first, then price, discount, mix, COGS, waste, labor) to isolate each driver's impact. Explain that ordering affects individual contributions but not the total.

4. Calculate Each Driver's Impact

For each driver, hold previous drivers constant and compute the profit change due solely to that driver. Use formulas like Volume Impact = (Current Volume - Baseline Volume) × Baseline Unit Margin, and similarly for others.

5. Reconcile and Interpret

Sum the individual impacts to ensure they equal the total profit drop. Identify the largest contributors and discuss potential root causes and next steps.

Key Points to Mention

  • Profit decomposition formula: Profit = Volume × (Price × (1 - Discount) - Unit COGS) - Waste - Labor
  • Effect-ordering method: sequential attribution (e.g., volume, price, discount, mix, COGS, waste, labor) and its impact on attribution
  • Formulas for each driver: Volume Impact = ΔVolume × Baseline Unit Margin; Price Impact = ΔPrice × Current Volume × (1 - Baseline Discount); Discount Impact = -ΔDiscount × Current Price × Current Volume; Mix Impact = ΔMix × Baseline Margin; COGS Impact = -ΔUnit COGS × Current Volume; Waste Impact = -ΔWaste; Labor Impact = -ΔLabor
  • Importance of mix: product mix changes can affect average price and COGS, so isolate mix after volume and price
  • Reconciliation: sum of individual impacts must equal total profit drop (18%)
  • Communication: use waterfall chart and clear assumptions to explain findings to stakeholders

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q2

A competitor opened two blocks away mid-July. Without running an A/B test, how would you estimate the incremental revenue impact on your shop? Walk through your identification strategy, data requirements, assumptions, and at least two robustness checks.

A/B Testing & ExperimentationProduct Analytics & Metrics
Author's notes

Loved this one, which surprised me because causal inference questions usually make me nervous.

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AI HintsAI Generated

Suggested Approach

Use a quasi-experimental design like difference-in-differences (DiD) or synthetic control, leveraging pre-period data and a control group of similar shops unaffected by the competitor. Clearly state assumptions (e.g., parallel trends) and validate with robustness checks such as placebo tests and sensitivity analyses.

Pro tip: Emphasize that without randomization, causal inference hinges on the credibility of the control group and pre-trends; always discuss potential violations and how you'd test them.

1. Define the estimand and identify comparison groups

Clarify the target: incremental revenue due to the competitor's opening. Identify a treatment group (your shop) and a control group (similar shops not exposed to the competitor), ensuring they are comparable pre-intervention.

2. Choose a quasi-experimental method

Select an appropriate method such as difference-in-differences, synthetic control, or interrupted time series. Justify the choice based on data availability and assumptions.

3. Gather and prepare data

Collect panel data on revenue, foot traffic, pricing, promotions, and local economic indicators for both groups over a sufficient pre- and post-period. Ensure data quality and consistency.

4. Estimate the effect and test assumptions

Run the model, estimate the treatment effect, and test key assumptions like parallel trends using pre-period data. Visualize trends to check for pre-existing differences.

5. Conduct robustness checks

Perform placebo tests (e.g., fake treatment dates), sensitivity analyses (e.g., different control groups, alternative specifications), and check for spillovers or anticipation effects.

Key Points to Mention

  • Difference-in-differences (DiD) and its assumption of parallel trends
  • Synthetic control method for constructing a counterfactual
  • Importance of pre-period data and testing for pre-trends
  • Placebo tests and sensitivity analyses as robustness checks
  • Potential confounders: seasonality, local events, marketing campaigns
  • Limitations of observational data and need for cautious interpretation

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q3

Design two experiments you can run within two weeks to test hypotheses around menu engineering or promotional timing. Include margin guardrails and a stopping rule.

A/B Testing & ExperimentationPricing & Monetization
Author's notes

Blanked for a second on the stopping rule framing.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the business objective (e.g., increase revenue or margin) and the available data (e.g., menu items, promotions, traffic). Then design two distinct experiments: one focused on menu engineering (e.g., repositioning high-margin items) and one on promotional timing (e.g., different discount windows). For each, specify hypotheses, metrics, margin guardrails, and a stopping rule based on statistical power or sequential testing.

Pro tip: Emphasize that guardrails should be monitored continuously with automated alerts, and stopping rules should be pre-registered to avoid p-hacking. Also, consider practical constraints like seasonality and sample size to ensure the experiments are feasible within two weeks.

1. Clarify Objectives and Constraints

Confirm the primary goal (e.g., increase margin, revenue, or customer satisfaction) and constraints like two-week duration, traffic volume, and available data. Identify key stakeholders and success metrics.

2. Design Experiment 1: Menu Engineering

Hypothesis: Repositioning high-margin items (e.g., top of menu, highlighted) increases their share of orders without hurting overall revenue. Randomize users or sessions to control vs. treatment menu layouts. Measure margin per order, item mix, and total revenue.

3. Design Experiment 2: Promotional Timing

Hypothesis: Offering a discount during off-peak hours increases total margin by driving incremental traffic. Randomize time windows (e.g., 2-4pm vs. 5-7pm) or user segments. Measure incremental margin, redemption rate, and cannibalization.

4. Define Margin Guardrails and Stopping Rules

Set guardrails: e.g., overall margin per user must not drop more than 5% relative to control. Stopping rule: use sequential testing or pre-calculate sample size; stop early if guardrail breached or if significance reached. Include a maximum duration of two weeks.

5. Plan Analysis and Next Steps

Outline analysis plan: intent-to-treat, segment analysis, and sensitivity checks. Discuss how results will inform rollout decisions and further experiments.

Key Points to Mention

  • Randomization unit (user, session, or time) and ensuring consistency
  • Primary and secondary metrics (e.g., margin per order, total revenue, item mix)
  • Margin guardrails with thresholds and automated monitoring
  • Stopping rules: sequential testing, alpha spending, or fixed sample size
  • Practical considerations: seasonality, sample size, and two-week feasibility
  • Potential confounders and how to mitigate (e.g., using holdout groups)

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.