Corning Data Scientist Interview Questions & Guide 2026

The 60-second brief

As a Data Scientist at Corning, you will play a crucial role in leveraging data-driven insights to enhance product development and operational efficiency. This position is vital to the organization as it directly influences Corning's ability to innovate and maintain its competitive edge in the market. You will engage with complex datasets, employing advanced analytical techniques to extract insights that guide strategic decision-making across various teams.

In modelling rounds the live question is usually why this model class for this problem, and how you would know six weeks after launch that it is still working. Deriving gradients by hand is rarely what is being probed.

Focus areas

• Decompose a metric move by segment and mix
• Pick a randomisation unit that respects interference
• Define numerator, denominator and window precisely

Overview

Your work will encompass a diverse array of projects, from optimizing manufacturing processes to enhancing customer experiences with Corning's high-tech products. You will collaborate with cross-functional teams, including engineers and product managers, to translate data findings into actionable strategies. This role presents an exciting opportunity to impact real-world applications—whether it’s developing new glass compositions or improving supply chain efficiency—demonstrating the significance of data science in driving Corning’s mission.

The Corning interview process

Corning candidates report 3 rounds · ≈ 3-5 weeks. The stages below are what candidates describe, not a published process.

Preliminary Screening Call

Data Scientist covers at least four different jobs: experimentation, product analytics, causal work on observational data, and applied modelling that ships into a system. A screening call is the cheapest place to find out which of them is being hired for, and doing that diagnosis openly reads as senior rather than fussy. Ask what the last few pieces of work on the team actually were, and roughly how a week splits between querying, modelling and stakeholder time. Then say which parts of that you have done and which you have not. Claiming the whole range is the fastest way to be caught one round later.

What to demonstrate

• Whether you can distinguish the flavours of the role and locate your own experience inside one of them honestly
• Whether you name what you have not done instead of stretching to cover every line of the posting
• Whether your hard constraints (notice period, location, work authorisation, level) surface now rather than at offer stage

How to prepare

• Map the last two years of your time into rough percentages across query writing, experiment design, modelling and stakeholder work, so a question about scope has a real answer
• Mark every responsibility in the posting as done, adjacent or new, and prepare one sentence for each adjacent item naming the closest thing you have actually built
• Decide which logistics are non-negotiable before the call so you can state them in one sentence rather than negotiating live

Technical Interviews

This round decides whether someone can hand you a schema and a question and trust the number that comes back. Correctness under a clock is the bar, not clever syntax. The habit that separates strong from weak answers is checking the grain: after every join, know how many rows you expect and whether the count moved. Most wrong answers in this format are not wrong logic, they are a fan-out from a key that turned out not to be unique, or a filter applied before an aggregate when it belonged after. Say what you expect before you run it.

What to demonstrate

• Whether your row counts survive each join, and whether you notice on your own when they do not
• Deliberate handling of rows that fail to match, including whether the question needs an inner join or a left join with the non-matches kept and counted
• Whether NULLs are treated on purpose, given that a NULL compares equal to nothing and that COUNT of a column skips it
• Reaching a defensible answer inside the window instead of a refined one after it

How to prepare

• Take a two-table schema, write a join that fans out on purpose, then fix it by collapsing the many-side to one row per key before joining. Repeat until the fix is reflex rather than recall.
• Write a funnel as one query and print the distinct user count at each stage, then confirm each stage is a subset of the one above it rather than assuming it
• Do a few timed runs in a plain text box with no autocomplete and no formatter, since assessment editors often have neither

Behavioral Interviews

Rounds of this kind usually include one question about work that did not go well, and it is the part that carries the most information. Anyone can narrate a shipped win. What the interviewer learns from a project that stalled is how you behave without a result to hide behind: whether you noticed the problem yourself, how long it took, and who you told. Answers that route the failure onto a data pipeline or a reorganisation close the topic without answering it, and the follow-up comes back to your own part.

What to demonstrate

• Whether you found the error yourself or someone else found it, and how long it sat before anyone knew
• What you changed afterwards, stated as a check you now run rather than a lesson you now believe
• Whether the mistake you choose has real cost attached, such as a quarter of misdirected roadmap or a metric that was reported upward, instead of one that flatters you

How to prepare

• Choose a failure you caught yourself and be ready to say what tipped you off. A story where someone else caught it is still usable, but you will be asked why you missed it.
• Write down the check you added afterwards and where it lives now, so the correction is a concrete artefact rather than a resolution.
• Rehearse saying the cost out loud. Candidates shrink the number by instinct once the interviewer is in the room.

Where candidates lose points

Reading a pooled rate that moved because the mix moved, not because any behaviour changed

A pooled conversion rate is a weighted average, and a shift in the weights can move it in the opposite direction to every one of its parts. A paid campaign that brings low-converting traffic drops overall signup conversion even if desktop, mobile web and app conversion each rose that week, which is Simpson's paradox and it is the single most common cause of an inexplicable dashboard move. The discipline is to decompose before explaining: recompute the rate holding last period's segment weights fixed, and compare that counterfactual to the actual, so the mix effect and the rate effect are separated numerically rather than argued about. Segment on the dimensions that actually reweight, which in this domain are almost always device_type, referrer_channel, country and new versus returning.

Watching an experiment daily and stopping when it crosses significance

A fixed-sample test controls type I error at one pre-declared look. Checking repeatedly and stopping at the first p < 0.05 inflates the false positive rate to roughly 0.15 to 0.20 for ten looks, and it rises further with more frequent checks, because the p-value takes a random walk that will eventually dip below the threshold under the null. The usual defences are a fixed horizon declared before launch, group-sequential boundaries such as O'Brien-Fleming that spend alpha across a planned number of looks, or always-valid confidence sequences that are correct under continuous monitoring. Compounding it, the effect size reported conditional on having crossed the threshold is biased away from zero, and the bias is larger the lower the power was, so an underpowered test that 'won' typically overstates the lift it found.

Explaining an aggregate move without decomposing the mix shift

Split the change in the aggregate into within-segment movement and movement in segment weights before you explain it. Every segment's rate can fall while the overall rate rises, purely because volume shifted toward segments that already had higher rates.

Accepting a metric definition without asking about the denominator

Pin down the denominator, the eligibility filter and the time window before computing anything: conversion rate per session, per user, per eligible user and per new user are four different numbers with different behaviour. Restate the definition in one sentence and get agreement before you analyse.

Questions & practice

How do you evaluate the performance of a classification model?

Medium · machine learning and modelling

Approach

1. Set a baseline first, so any model has something honest to beat.
2. Pick an evaluation metric that matches the cost of each error type, not a default.
3. Frame the prediction: the label, the moment of prediction, and the action it triggers.

Follow-up

• How would you choose the decision threshold, and who owns that choice?
• What would you monitor after launch to know the model is still valid?

What are the assumptions behind linear regression?

Medium · machine learning and modelling

Approach

1. Pick an evaluation metric that matches the cost of each error type, not a default.
2. Frame the prediction: the label, the moment of prediction, and the action it triggers.
3. Set a baseline first, so any model has something honest to beat.

Follow-up

• How would you choose the decision threshold, and who owns that choice?
• What would you monitor after launch to know the model is still valid?

Cluster bootstrap for a per-session rate randomised on users

Hard · cluster bootstrap · randomisation unit · variance

An experiment randomised on user_id reports a per-session conversion rate, so sessions inside a user are correlated. Input: one row per session with user_id, variant in {control, treatment} and converted in {0,1}. Write a cluster bootstrap from scratch: resample users with replacement within each arm, keep every session of a drawn user, recompute each arm's ratio of converted sessions to sessions, and take the difference. Return the point estimate, a 95 percent percentile interval from at least 2,000 resamples, the naive session-level interval that ignores clustering, and the ratio of their widths.

Approach

1. Name the estimand precisely: it is a ratio of sums, sum(converted) over sum(sessions) within an arm, not the mean of per-user rates. Those differ whenever session counts vary across users, and the ratio is what the reported metric is.
2. Resample the cluster, not the row. Draw n_users user ids with replacement inside each arm and take every session belonging to each draw, including duplicate draws of the same user. Keeping the user count fixed per arm rather than the session count is what preserves the sampling design.
3. Precompute per-user (converted_sum, session_count) once, so each resample is two vector lookups and a division rather than a repeated filter over the session frame. That turns 2,000 resamples from minutes into under a second.
4. Take the 2.5th and 97.5th percentiles of the 2,000 differences for the interval, and report the point estimate from the full data rather than from the bootstrap mean, since the bootstrap mean carries the resampling bias.
5. Compute the naive interval from the session-level binomial standard error and compare widths. The expected inflation is roughly sqrt(1 + (m-1)*rho), with m the mean sessions per user and rho the intraclass correlation of converted within users, so a computed ratio far from that value points at a bug in one of the two intervals.

Worked solution (35 min)

1. per_user = df.groupby(['variant','user_id'])['converted'].agg(['sum','size']); split into two arrays per arm.
2. point = (t_sum.sum() / t_n.sum()) - (c_sum.sum() / c_n.sum()).
3. For b in range(B): idx = rng.integers(0, len(t_sum), len(t_sum)); ratio_t = t_sum[idx].sum() / t_n[idx].sum(); same for control; store the difference. Vectorise by drawing a (B, n) index matrix if memory allows.
4. ci = np.percentile(diffs, [2.5, 97.5]); naive_se = sqrt(p_t*(1-p_t)/n_sessions_t + p_c*(1-p_c)/n_sessions_c); naive_ci = point +/- 1.96*naive_se.
5. width_ratio = (ci[1]-ci[0]) / (naive_ci[1]-naive_ci[0]).

Expected result: A point estimate identical to the full-data ratio difference, a percentile interval containing that point estimate, and a width ratio greater than 1 whose value approximates sqrt(1 + (m-1)*rho) for the data's mean cluster size m and intraclass correlation rho. A ratio of approximately 1.0 means sessions were resampled instead of users.

Verify it yourself

• Construct data where every user has exactly one session: the cluster and naive intervals then agree to within Monte Carlo error, since m = 1 makes the design effect 1.
• Construct data where converted is constant within each user: rho is 1, and the width ratio should approach sqrt(m).
• The bootstrap distribution's mean sits close to the point estimate; a large offset means the resampled arms have drifted in size.
• Doubling B narrows the Monte Carlo noise in the percentile endpoints without shifting the interval's centre.

Follow-up

• Users average 3.4 sessions and the intraclass correlation is 0.12. What width ratio do you predict before running it, and does your bootstrap land there?
• Give the delta-method standard error for this ratio and say when you would prefer it to the bootstrap.
• Half the users in the treatment arm have exactly one session. What does that do to the cluster bootstrap's coverage, and how would you check it?

Weekly visit-to-signup conversion split by acquisition channel

Easy · funnel · conversion · aggregation

From fct_session (session_id, visitor_id, started_at_utc, referrer_channel, is_bot_flagged, consent_state) and fct_event (visitor_id, occurred_at_utc, event_name), compute visit-to-signup conversion for one ISO week, split by channel. session_id is the unique key of fct_session. Denominator: distinct visitor_id with a session starting in the week, is_bot_flagged = FALSE and consent_state <> 'denied'. Numerator: those visitors with a 'signup_completed' event in the same week. Label each visitor with the referrer_channel of their first session in the window. Return channel, visitors, signups and rate, plus one all-channel total row.

Approach

1. Build a visitor spine that is one row per visitor: filter sessions to the week, drop is_bot_flagged and consent_state = 'denied', then take the first session per visitor with ROW_NUMBER() OVER (PARTITION BY visitor_id ORDER BY started_at_utc, session_id) = 1 to carry the channel label. Collapsing to one row here is what makes the channel buckets mutually exclusive and the totals additive.
2. session_id is the unique key, so that ordering is total and the label is reproducible. If the table carried no unique key you would have to write an explicit tie rule instead, because two sessions on different channels at the identical timestamp would otherwise label the visitor differently between runs.
3. Attach the outcome as a semi-join (EXISTS on a signup_completed event for that visitor inside the same week) rather than a join to the event table, so a visitor who fires the event twice does not count twice and inflate the numerator past the denominator.
4. Aggregate with COUNT() as visitors and COUNT() FILTER (WHERE signed_up) as signups, and compute the rate as signups::numeric / NULLIF(visitors, 0) so an empty channel returns NULL rather than a division error.
5. Produce the total with GROUP BY GROUPING SETS ((channel), ()), which re-sums numerator and denominator for the total row. Averaging the channel rates gives a different and wrong number whenever channel volumes differ, which they always do.
6. Verify the spine before trusting the output: COUNT(*) must equal COUNT(DISTINCT visitor_id), and the per-channel visitor counts must sum to the total row.

Follow-up

• The denominator is distinct visitors. If a browser release shortens cookie lifetime, what happens to this rate, and how would you tell that apart from a genuine drop?
• A visitor's first session is direct and their signup session is paid search. Your label says direct. When is that the wrong answer for the decision being made?
• How do you roll four weeks into a month, and why is averaging the four weekly rates wrong?

Attribute account MRR to first-touch channel without seat fan-out

Medium · fan-out · joins · revenue · attribution

dim_user holds user_id, account_id, first_touch_channel, account_created_at_utc. dim_account holds account_id, lifecycle_status. fct_subscription_period holds account_id, period_start_utc, period_end_utc, period_status, mrr_cents_constant_fx. For a given as-of date, report active MRR by the first-touch channel of the account's earliest-created user. An account has many users and many periods. The channel totals must sum exactly to total active MRR on that date, and accounts whose label is NULL must appear as their own bucket.

Approach

1. Reduce the label side to one row per account before any join: ROW_NUMBER() OVER (PARTITION BY account_id ORDER BY account_created_at_utc, user_id) = 1 over dim_user, carrying first_touch_channel. Joining dim_user to the period table directly repeats each revenue row once per seat.
2. Reduce the money side to one row per account too: the period where period_start_utc <= :as_of AND period_end_utc > :as_of AND period_status IN ('active','past_due'). If more than one row survives that filter the account holds overlapping subscriptions, which must be deduped or deliberately summed, and either way the choice is stated rather than left to the join.
3. Join the two one-row-per-account CTEs and SUM(mrr_cents_constant_fx). Use the constant-FX column, since the same query run in two quarters otherwise reports currency moves as channel performance.
4. Bucket NULL first_touch_channel as 'unattributed' with COALESCE instead of letting it drop. Roughly the share of users with no observed touch is not small, and dropping it understates the total and inflates every named channel's share.
5. Reconcile: the SUM over the joined result must equal the SUM over the period CTE alone. That single equality check catches fan-out immediately, which is why it is worth writing before presenting the number.

Worked solution (30 min)

1. Compute total active MRR on the as-of date from the period table alone and write the number down as the target.
2. Build the label CTE and assert COUNT(*) = COUNT(DISTINCT account_id).
3. Build the as-of period CTE and assert the same, investigating any account with more than one surviving row.
4. Join, COALESCE the channel, aggregate, and compare the total to the target.
5. Deliberately run the naive dim_user join and record the inflation factor, which is the MRR-weighted mean seat count.

Expected result: One row per first_touch_channel plus an 'unattributed' bucket, whose MRR values sum exactly to the independently computed total active MRR for the as-of date.

Verify it yourself

• Channel total equals the standalone total from the period CTE, to the cent.
• Both CTEs satisfy COUNT(*) = COUNT(DISTINCT account_id).
• The unattributed bucket is present and non-zero rather than silently absent.
• The naive join version produces a strictly larger total, and you can state the ratio.

Follow-up

• Which user should own the account's label: earliest created, the 'owner' role, or the one who converted? What does each choice systematically favour?
• What does this table entitle you to say about the value of a channel, and what does it not?
• Some accounts have a parent_account_id. How does rolling those up change both the numerator and the channel mix?

If you were tasked with reducing product defects, what data would you analyze, and what steps would you take?

Medium · product sense and metrics

Approach

1. Fix the population and the time window before naming any metric.
2. State what result would change your recommendation, so the answer is falsifiable.
3. Decompose the metric into the rates that drive it, and say which one you would check first.

Follow-up

• Which segment would you cut first, and what would that rule out?
• How would you detect that the metric is being gamed rather than genuinely improving?

Imagine you have to forecast demand for a new product. What factors would you consider?

Medium · product sense and metrics

Approach

1. Fix the population and the time window before naming any metric.
2. Decompose the metric into the rates that drive it, and say which one you would check first.
3. Name one primary metric, then the guardrail that stops it being gamed.

Follow-up

• Which segment would you cut first, and what would that rule out?
• How would you detect that the metric is being gamed rather than genuinely improving?

Given a dataset with customer purchase history, how would you identify potential upsell opportunities?

Medium · product sense and metrics

Approach

1. State what result would change your recommendation, so the answer is falsifiable.
2. Fix the population and the time window before naming any metric.
3. Restate the decision this analysis has to support, and who acts on the answer.

Follow-up

• What would you do if the primary metric and the guardrail moved in opposite directions?
• How would you detect that the metric is being gamed rather than genuinely improving?

How would you approach building a recommendation system for a new product line?

Medium · product sense and metrics

Approach

1. State what result would change your recommendation, so the answer is falsifiable.
2. Name one primary metric, then the guardrail that stops it being gamed.
3. Decompose the metric into the rates that drive it, and say which one you would check first.

Follow-up

• Which segment would you cut first, and what would that rule out?
• How would you detect that the metric is being gamed rather than genuinely improving?

Explain how you would design an A/B test for a marketing campaign.

Medium · a/b testing and experimentation

Approach

1. Decide the analysis before seeing data, including how long it runs and when you look.
2. Name the guardrails that would stop a launch even on a positive primary result.
3. Name the randomisation unit first; it decides the variance and what the test can detect.

Follow-up

• How would you handle interference between treated and control units?
• What would you do if you could not randomise at all?

How would you handle missing data in a dataset?

Medium

Approach

1. Work from the decision backwards to the evidence you would need.
2. Say what you would check first and why it is the highest-information step.
3. State your assumptions explicitly before working the problem.

Follow-up

• How would you know your answer was wrong?
• What assumption would you test first?

Measure a paid channel without a user-level experiment

Hard · difference-in-differences · geo holdout · incrementality · clustered inference

Finance needs the incremental contribution of paid social before next year's budget. It carries 18% of last-touch-attributed signups in dim_user.last_touch_channel, but the ad platform will not randomise users and unexposed users are unobservable. The ad platform targets at market level, your warehouse resolves a market label onto fct_session, and 40 markets are eligible with 12 months of weekly signups derivable from dim_user. Design the read, size it on total signups rather than attributed ones, and state the identifying assumption and the check that would falsify it.

Approach

1. Say why the attributed number cannot answer the question. Last-touch assigns full credit to whichever touch was recorded nearest the conversion, which systematically rewards channels that intercept demand that already existed, and the counterfactual of not running the channel is nowhere in the touchpoint data.
2. Choose a geo holdout: randomise markets into a paused arm and a spend-as-usual arm, and measure total signups per market. The metric has to be the total, because the question is whether demand is created or merely relabelled, and attributed signups fall to zero in a paused market by construction.
3. Size on markets, since the market is the randomisation unit and therefore the variance unit. Forty markets give at most twenty per arm, so form matched pairs on twelve months of pre-period weekly signups and randomise within pair, which removes the between-market level differences that would otherwise dominate the residual variance.
4. Fix the identifying assumption in plain words: absent the pause, treated and control markets' signup trends would have moved in parallel. Falsify it by running the same estimator on placebo cut dates inside the pre-period; a non-zero placebo estimate or visibly diverging pre-trends kills the design as specified.
5. Estimate with market and week fixed effects and cluster standard errors on market. Below about forty clusters the cluster-robust error is biased downward, so use a wild cluster bootstrap or randomisation inference over the pair assignment. If only one or two markets can be paused, switch to synthetic control: weight untreated markets to match the treated market's pre-period path and use in-space placebos for inference.

Worked solution (40 min)

1. Aggregate weekly signups per market for twelve months from dim_user with is_internal = FALSE, and drop markets whose history is too short or too volatile to pair.
2. Rank markets on pre-period mean and trend, form twenty matched pairs, and randomise one of each pair into the paused arm.
3. Derive the MDE from the between-pair residual standard deviation of weekly signups, not the within-market one, because power is set by the number of pairs; express it as a percentage of total signups and compare it with the effect finance cares about.
4. Run placebo estimates at three pre-period cut dates before committing; re-pair or abandon if any is significant.
5. After the pause, estimate difference-in-differences with market and week fixed effects, report a wild cluster bootstrap interval, and convert the point estimate into incremental cost per signup against the spend withheld.

Expected result: A matched-pair geo holdout across twenty pairs, read on total signups with market and week fixed effects and market-clustered inference, yielding an incrementality ratio of incremental signups to attribution-credited signups. The identifying assumption is parallel counterfactual trends, checked with pre-period placebo cuts. The MDE is set by twenty pairs rather than by millions of sessions, and is usually far coarser than the requester expects.

Verify it yourself

• Pre-period placebo estimates should centre on zero with intervals covering it. A systematically non-zero placebo means the pairing failed and the main estimate inherits that bias.
• Treated plus control market signups in the pre-period must reconcile with the total the finance dashboard reports, otherwise the market label is silently dropping sessions.
• An incrementality ratio above 1 implies the channel drives conversions it never touched. That is possible through view-through effects the model never sees, but it demands a stated mechanism rather than a shrug.

Follow-up

• Campaign commitments mean the pause starts in different weeks in different markets. What does staggered timing do to a two-way fixed effects estimate when effects vary across cohorts?
• How long do you pause, given that paid social has a delayed conversion tail, and how do you keep that tail out of the pre-period?
• The estimate says the channel is 40% incremental. What happens to the last-touch number on the dashboard after that?

Size every candidate cause of a trial-to-paid decline

Hard · cohort-maturity · experiment-readout · mix-shift · contribution-sizing

Trial-to-paid conversion on weekly trial-start cohorts from fct_subscription_period reads 3.1 points below the trailing eight-week mean for the three most recent cohorts. Three things happened in that window: a pricing experiment reached 50% of new trials, a payment processor migration added settlement delay, and paid_search spend tripled. Using fct_subscription_period, fct_experiment_exposure and dim_user, rank the causes by their contribution in points of the headline, state the remainder, and give the decision you would take on Monday.

Approach

1. Kill the immature cohorts first, because everything downstream is computed on them. The metric is lagged by the trial length plus a 14-day conversion window plus a settlement allowance, and a processor migration lengthens exactly that last term; recompute each cohort at a fixed cohort age rather than as of today, and confirm the newest cohort's value is still climbing day over day.
2. Hold the experiment analysis to the exposed population. Join fct_experiment_exposure on unit_id with is_in_analysis_population = TRUE rather than reading an assignment log, then check the variant split for a sample-ratio mismatch before believing any effect at all. Contribution to the headline is the variant effect multiplied by the exposed share, which is not the same number as the variant effect.
3. Decompose the cohort mix by dim_user.first_touch_channel using the same weight-times-rate arithmetic as any other mix question, so the paid_search increase is sized as a weight change at a measured conversion rate rather than asserted from the spend figure.
4. Convert all three to points of the headline, sum them, and print the residual against the historical week-to-week standard deviation of the metric. If the residual is inside that band, say so and stop looking; if it is outside, name what you would investigate next rather than leaving it implied.
5. Land the decision. Only one of the three is actionable on Monday, so state whether the experiment has accrued enough exposed units to stop at the pre-declared horizon, and state separately what the settlement-lag correction does to the published series and its lag rule.

Follow-up

• How do you choose the fixed cohort age, and what do you lose by choosing it too long?
• If the pricing variant is genuinely 1.2 points worse, does that settle whether to stop it? What else is on the other side of that decision?
• The trailing eight-week mean spans the processor migration. What is the right baseline instead?

Suggested practice checklist

Roughly 90 minutes a night on weekdays with one longer weekend block. The plan deliberately cuts scope rather than compressing everything, on the assumption that finishing one thing a night beats half-starting four.

Day 1 — Fix the scope and set a baseline

• Read the role description and write the three things the loop will almost certainly test, then write an explicit not-doing list for everything else and keep it visible all week.
• Take one 20-minute SQL prompt and one 10-minute metric question cold, and write the single sentence that says what blocked each attempt, since that sentence is what decides which two topics get the most evenings.
• Set the week's one rule: one problem finished to completion every night, including the night you only have 40 minutes.

Deliverable: A one-page scope with an explicit not-doing list and two cold attempts, each carrying one sentence on what blocked it.

Day 2 — One query pattern, written three times

• Choose the single pattern most likely to appear (a cohort retention grid, or a funnel counted by user) and write it three times from a blank file rather than editing the previous attempt.
• On the third attempt, write the grain of every CTE as a comment before writing its body.
• Stop at 90 minutes even if the third version is imperfect, and write the one thing you would fix with another hour.

Deliverable: Three independent versions of the same query plus a note on what changed between them.

Day 3 — Only the statistics you will be asked to defend

• Write, in under 200 words, how you would decide whether a difference between two groups is real: the test, its assumptions, and what you would switch to when an assumption fails.
• Compute a 95 percent confidence interval for a difference in proportions by hand on realistic numbers, then write in one sentence what changes if the two samples are paired rather than independent.
• Write your answer to "what does a p-value mean", check it against a definition, and delete the version that describes it as the probability the hypothesis is true.

Deliverable: A 200-word written answer and one hand-computed interval you can reproduce under pressure.

Day 4 — One case, and the assumptions holding it up

• Answer one product case aloud in 20 minutes with a recording running, then listen back with a pen and mark every claim you asserted without saying what it rested on: an assumed user behaviour, an assumed data source, an assumed baseline rate, an assumed grain.
• Pick the three assumptions the recommendation actually depends on, write how you would check each one against data, and say which one being wrong would flip the recommendation rather than merely weaken it.
• Write the four-step structure you used onto a card small enough to hold in working memory when you are nervous.

Deliverable: One recording, three load-bearing assumptions each with a written check, and a four-step structure card.

Day 5 — Your own work, timed

• Write a 90-second version and a four-minute version of your main project, and time both out loud rather than reading them.
• Prepare answers to the two follow-ups that always come: what you would do differently, and how you knew it worked.
• Put one number in the first sentence and be able to say exactly where that number came from and what it excludes.

Deliverable: Two timed narratives with one defensible number in the opening line.

Day 6 — The one full rehearsal, in a longer weekend block

• Run a 60-minute mock covering query work, a case and a behavioural question in a single sitting with no breaks, because sustained attention is the thing evenings have not trained.
• Immediately afterwards, and before hearing any feedback, write the three moments you lost the thread.
• Spend the rest of the block only on those three moments, and on nothing you merely feel shaky about.

Deliverable: Mock notes naming three failure moments with a specific fix written under each.

Day 7 — Taper

• Write the 20-minute warm-up you will actually do on the morning of the interview: one query you can already write from a blank file, one metric you can define out loud, and nothing you have never seen before.
• Re-read only your own notes from this week, and open no new material.
• Write down the logistics: the tool you will be asked to work in, whether lookups are allowed, and the sentence you will use when you do not know something.

Deliverable: A one-page card holding the case structure, the project numbers, and the logistics.

Stories where someone disagreed with you

Have two ready. In one, the data was on your side and you had to move someone who outranked you. In the other, the pushback was correct and you changed position. The second is the harder story and it lands better, because it shows you separate being right from being attached to an answer. Name the person's actual objection.

How do you ensure effective communication with non-technical stakeholders?

Medium · behavioural and stakeholder questions

Approach

1. State the situation in two sentences and spend the rest on your reasoning.
2. Name the disagreement or constraint, and how you resolved it with evidence.
3. Close with what you would do differently, concretely.

Follow-up

• What did you decide not to do, and why?
• How did you know the outcome was caused by your change?

Disagree with a product manager's roadmap claim using data

Medium · causal inference · selection bias · stakeholder

A product manager proposes building a feature on the argument that accounts connecting an integration in week one retain three times better at week four. The figure is correctly computed from dim_user and fct_event, and it has already been shown to leadership. You have one scheduled 1:1 before the roadmap locks. Deliver the specific analysis you would run to test whether the relationship is causal, the result that would change your own mind, and how you open the conversation so that the PM is not put in the position of defending the number in public.

Approach

1. Recognise what is being probed: whether you can separate a number being right from an inference being wrong, and do it without costing the PM face. The generic answer recites that correlation is not causation; the strong one names the specific confound and proposes the cheapest design that could distinguish the explanations.
2. State the alternative concretely. Accounts that connect an integration in week one are accounts that already have a workflow and a technical owner, so week-one intent plausibly drives both the connection and week-four retention. The selection is on intent, which no amount of post-hoc adjustment observes.
3. Order the discriminating analyses by cost. First, condition on pre-connection activity by comparing retention within strata of week-one core-action count, which removes the crude version of the confound but not unobserved intent. Second, look for variation in integration availability that was unrelated to intent, such as a staggered release or an outage window. Third, an encouragement design that randomises a prompt to connect and reads the intent-to-treat effect on week-four retention, which is the only version that identifies an effect.
4. Run the timing check, because it is nearly free and it is the most persuasive single piece of evidence. If the retention advantage among connectors is already visible before any of them connected, the causal story is largely finished.
5. Pre-commit to what would change your mind and say it before you show anything: if the gap survives stratification and the encouragement arm moves week-four retention at all, the feature has a case and you will say so.
6. Open the 1:1 by agreeing with the true part, that the correlation is real and worth chasing, then ask what effect size the roadmap plan assumes. That makes the size of the claim the topic instead of its authorship.

Follow-up

• The encouragement test needs six weeks and the roadmap locks in two. What do you recommend in the interim?
• Stratifying on week-one activity closes half the gap. What do you conclude, and what do you still not know?
• How would you word this in the roadmap document so the PM's original number is reframed rather than deleted?

Defend a flat experiment readout against a post-hoc segment

Medium · experiments · segmentation · pushback

A feature you evaluated is flat on seven-day activation: +0.05pp with a 95% interval of [-0.47pp, +0.57pp], from 61,000 exposed users per arm in fct_experiment_exposure joined to dim_user and fct_event. Baseline activation is 32%. The launch team asks you to drop every surface except mobile_web, where the point estimate is +1.1pp, and re-run. You have ten minutes in their planning meeting. Deliver a spoken position: what you will and will not do, and the decision you recommend.

Approach

1. Recognise what is being probed: whether you hold a statistical position under social pressure without becoming either rigid or apologetic. A generic answer says the segment is not significant; a strong one separates the request into a question that is answerable (is the mobile_web number real?) and one that is not (can we ship on it?), and answers both.
2. Price the multiplicity out loud. The slice was chosen after seeing the results, so its estimate is selected on favourable noise and is biased away from zero. With k independent looks at a nominal 5% level, the chance of at least one false positive is 1 - 0.95^k: 26% at six segments, 64% at twenty. Quote the k you actually inspected, not the k you reported.
3. Use the arithmetic already in front of you. On the point estimates, a +1.1pp mobile_web effect combined with a pooled +0.05pp implies the remaining surfaces average negative in proportion to mobile_web's share of exposures. State that as a testable implication of their story rather than as a rebuttal of it.
4. Ask the one question that settles the category: was mobile_web named in the analysis plan before launch? If it was, it is a planned comparison and gets a corrected reading. If it was not, it is a hypothesis, and the honest move is to size the test that would confirm it.
5. Convert the refusal into a cost. Size a mobile_web-only confirmatory test at the claimed effect, state the weeks of mobile_web traffic it needs, and close with the recommendation: do not ship this as a lift, and note that the interval already rules out anything at or above +0.6pp, which is itself a useful input to the roadmap.

Follow-up

• The confirmatory test you sized needs nine weeks of mobile_web traffic and the team has three. What do you recommend instead?
• Suppose mobile_web was pre-registered. How does your reading change, and what correction do you apply?
• Your interval excludes +0.6pp. Is that the same as saying the feature does nothing?