The skills that carry the most weight are SQL across mismatched grains, experiment design, and the judgement to say what a result does not support. Event, session, subscription-period and exposure data all live at different grains, and the standard failure is a join that fans revenue across rows or an inner join that deletes exactly the population the question was about. Experiment work is judged less on whether a test statistic was computed correctly than on whether the randomisation unit matched the interference structure, whether the horizon was fixed in advance, and whether the analysis population was the exposed set rather than the assigned set. Above all of this sits communication: a correct analysis delivered as a table of numbers with no stated decision is treated as unfinished.
The work in general product and business analytics is mostly deciding what a number should mean and then defending that decision. A typical week contains a metric that moved and nobody can explain, an experiment readout where the headline is flat but three segments look interesting, a request to define success for a feature that ships next month, and a forecast or sizing input for a planning cycle. Very little of it arrives as a well-posed question; the first deliverable is usually a restatement of the question in terms that have a numerator, a denominator and a window. The output is a decision about shipping, pricing, spending or stopping, and it has to survive somebody else recomputing it from the same tables.
What makes it hard is the absence of a physical constraint to anchor definitions. A supply chain has units that either arrived or did not; a product funnel has whatever the tracking plan happened to record, sessionised by a rule somebody chose, joined on an identity that resets when a browser clears its cookies. Two competent analysts can produce different conversion rates from the same warehouse and both be right, which means the defensible answer is the one whose assumptions are written down. On top of that, the effects being measured are small: a genuine improvement to a mature funnel is often a fraction of a percentage point in absolute terms, comfortably inside the noise of a week, so most of the skill is in variance control and sizing rather than in modelling.
Metric definition and metric-tree construction
editorialPreparation area covering the translation of a loosely worded goal into a metric with a stated numerator, denominator, window and exclusion rule, and the assembly of those metrics into a tree where each layer explains the one above it.
What to demonstrate
- Whether a proposed metric is actually computable from the available tables, and whether the candidate says so when it is not
- Whether the candidate names the window, the lag before publication and the excluded populations rather than leaving them implied
- Ability to explain how a metric would be gamed and to name the specific guardrail that catches that behaviour
- Judgement about the grain a metric belongs at, particularly the distinction between a per-user and a per-account question
How to prepare
- Write out each metric in the tree above from memory, including its lag rule, until the definitions are recall rather than reconstruction
- Take three vague goals such as 'improve engagement' and produce two defensible metrics for each, with the argument for choosing between them
- Practise stating the failure mode of a ratio metric whose denominator is the thing that moved, and how you would detect that in the data
- Rehearse the difference between a count, a rate and a rate-of-rates, and which of the three survives being rolled up across periods
Warehouse SQL across event, session, subscription and exposure grains
editorialPreparation area for queries that span an append-only event log, derived sessions, billing periods and experiment exposures, where a naive join fans out revenue and an inner join removes exactly the rows that carry the answer.
What to demonstrate
- Correct handling of fan-out: pre-aggregating one side in a CTE before joining, and being able to demonstrate what the unaggregated join would have done to the total
- Deliberate treatment of NULL foreign keys, including signed-out events with no user_id, sessions with consent_state = 'denied' and accounts with no subscription row
- Fluency with window functions for first-event identification, cohort indexing, running counts and deduplicating overlapping billing periods
- Whether rates are rolled up by re-summing numerator and denominator rather than by averaging daily or weekly rates
How to prepare
- Build the full visitor-to-signup-to-activation funnel as one query using left joins forward, so that lost stages stay visible as NULLs instead of disappearing
- Write MRR at the start and end of a month from fct_subscription_period, handling mid-period plan changes without double-counting the account
- Practise a retention triangle from dim_user and fct_event with both window bounds enforced, and verify the row count at each grain before aggregating
- Reconstruct a per-attempt funnel from flow_instance_id, and be able to say what breaks when that id is missing
Experiment design, sizing and readout discipline
editorialPreparation area for choosing a randomisation unit, powering a test before it launches, and reading it out in a way that survives scrutiny, including the cases where the honest answer is that the test could not have detected the effect in question.
What to demonstrate
- Whether the randomisation unit matches the interference structure, and whether the standard error is computed on that unit rather than on the row
- Ability to size a test from first principles: for a proportion, roughly 16 p(1-p) divided by the squared absolute lift per arm, at 5% two-sided alpha and 80% power with equal arms
- Recognition that the analysis population is the exposed set, that assignment without exposure dilutes the estimate toward zero, and that a sample-ratio mismatch invalidates the readout rather than being a footnote
- Whether novelty and primacy effects are addressed, and whether the candidate distinguishes a metric that recovered from one that was never affected
How to prepare
- Memorise the proportion sizing shortcut and practise computing a minimum detectable effect from a realistic weekly traffic figure in under a minute
- Be able to state the design effect for clustered randomisation, variance inflated by 1 + (m-1) rho with m the mean cluster size and rho the intraclass correlation, and what it does to required sample size
- Practise explaining why a per-session metric randomised on users needs a delta-method or bootstrap standard error rather than a naive one
- Prepare a short account of variance reduction with a pre-period covariate, including the fact that it removes a share of variance equal to the squared correlation between covariate and outcome
Causal inference when randomisation is unavailable
editorialPreparation area for questions where an experiment is impossible, illegal or already too late, covering the quasi-experimental designs, the assumption each one rests on, and how to argue that assumption is plausible in the case at hand.
What to demonstrate
- Whether the candidate names the identifying assumption rather than the method, for instance parallel counterfactual trends rather than 'difference-in-differences'
- Ability to choose between difference-in-differences, a geo or time-based holdout, regression discontinuity and matching on the basis of what the data actually supports
- Awareness of what matching cannot fix, namely selection on anything unobserved, and willingness to say so instead of presenting a balanced covariate table as proof
- Whether a placebo or pre-trend check is proposed before the estimate is believed
How to prepare
- Practise writing the parallel-trends check you would run before a difference-in-differences estimate, and what you would conclude if the pre-period trends diverge
- Prepare one worked case where a launch was staggered across regions and explain how the staggered timing itself provides the comparison
- Rehearse the argument for a geo holdout as the cheapest credible read on channel incrementality, including how you would size it on total conversions
- Be able to state in two sentences why observational channel comparisons overstate the channels closest to conversion
Diagnosing a metric movement and landing the decision
editorialPreparation area for the open-ended case where a number moved and the task is to find out why and say what to do, working from a decomposition rather than from a list of guesses.
What to demonstrate
- Whether the first move is to verify the metric itself, covering instrumentation changes, a late-arriving data partition, a client release and a definition edit, before any product hypothesis
- Whether the decomposition is systematic, splitting the metric into its factors and then across segment, platform, geography, tenure and channel rather than sampling hypotheses at random
- Ability to size the contribution of each candidate cause, so that a segment moving sharply but carrying two percent of volume is correctly set aside
- Whether the answer ends in a recommendation with its uncertainty stated, and whether the candidate says plainly when the data cannot yet support one
How to prepare
- Rehearse a fixed opening sequence: confirm the movement is real and outside normal weekly variation, confirm the pipeline and tracking plan did not change, then decompose
- Practise the multiplicative decomposition of a funnel metric so that a drop can be attributed to a specific stage rather than to the funnel in general
- Build the habit of quantifying every candidate cause in the units of the headline metric, so contributions can be ranked and the remainder made explicit
- Practise delivering the finding in three lines, the movement, the cause with its share, and the decision, before any supporting detail
9 candidate reports. Individual accounts describe a particular role and hiring cycle.
Remitly Software Engineer online technical screening
After a recruiter call, I had an online technical screening split between getting to know me and solving a problem. It wasn’t a simple "here’s the pattern" LeetCode exercise, and it didn’t feel realistic to finish in a tight window without running into gaps. I spent a lot of time making sure I understood what was being asked and what passing behavior should look like. The coding round wasn’t just…
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Read full experienceRemitly Frontend Engineer interview with a timed Canditech assessment
The process started with a recruiter screen, followed by a timed assessment on Canditech that lasted about an hour. The structure was rigid. Each section had its own time limit, and once I finished one, I couldn't return to it. There was no way to practice or get familiar with the platform beforehand, which made the pacing more stressful. I got thrown off immediately because I initially saw only…
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My process started with an HR phone call. I then had a fairly structured technical interview with a live coding problem and enough time to think through the approach, followed by a separate values and discussion segment. After that, I went through what felt like a larger "power day" onsite with multiple interviewers across different roles. Some rounds focused on my resume experience. The technica…
Read full experienceRemitly Software Engineer interview: DFS screen and four-interview virtual onsite
I applied online and went straight to scheduling without a recruiter introduction. My first technical interview involved a simple DFS-style problem. I passed that round and was invited to a virtual onsite. The virtual onsite felt uneven. It included four interviews: two technical coding rounds, a manager round, and a product manager round. Some interviewers were engaged and seemed genuinely inter…
Read full experiencePracHub editorial advice for the preparation topics above.
Counting on an identity key that changes underneath the metric
visitor_id is per browser and per device, and it resets on cookie clearance, private browsing and platform privacy changes, so the distinct-visitor count drifts upward for reasons unrelated to reach. Any rate with visitors in the denominator therefore decays over time even when behaviour is constant, and any rate with visitors in the numerator inflates. The stitching at signup makes it worse in both directions: a user who signed up on mobile and returns on desktop is two visitors and one user, while a shared device is one visitor and several users. Decide which key each metric is counted on, write it into the definition, and when comparing a period before and after a platform privacy change, expect a level shift in every visitor-keyed metric and do not attribute it to the product.
Slicing a flat experiment until a segment reaches significance
Testing one metric across twenty segments at a nominal 5% level produces a significant result about two thirds of the time when nothing is happening anywhere, and the segment that surfaces is by construction the one with the most favourable noise. The reported effect in that slice is then badly overstated, because selection on significance conditions the estimate on being large. What makes it dangerous rather than merely wrong is that a post-hoc segment always has a plausible story attached, so it survives the meeting. The controls are declaring the small number of segments of interest before launch, correcting across the ones tested, and treating anything discovered afterwards as a hypothesis that needs its own adequately-powered test rather than a finding.
Reading experiment results before checking the arm split
Compare observed arm counts against the intended allocation ratio, not an assumed even split, and set the alarm far below the conventional 0.05: at 0.05 roughly one healthy experiment in twenty trips it, which is why sample-ratio checks usually run at p < 0.001 or stricter. The test's power scales with sample size, so it misses a real diversion on a small experiment and fires on an imbalance too small to move the estimate on a very large one. A flag means go find the assignment or logging fault before reading any outcome, not report a mismatch.
Comparing periods without accounting for seasonality or day-of-week
Compare whole weeks against whole weeks and check whether the same swing appeared in prior cycles or prior years before attributing it to anything you changed. Weekday and weekend populations often differ enough that a Tuesday-to-Saturday comparison is meaningless.
Choose a category, try a prompt, then open its approach, worked solution or follow-up when you need it.
Rebuild per-visitor ordering without groupby convenience methods
You have a DataFrame of 2 million fct_event rows with visitor_id, occurred_at_utc and event_id, unsorted and containing duplicate timestamps within a visitor. Produce three new columns: event_rank, the 1-based position of the event within its visitor ordered by occurred_at_utc; seconds_since_prev, the gap to that visitor's previous event, NULL for the first; and is_first_for_visitor. You may use sort_values, shift, cumsum, numpy and boolean masking. You may not use groupby.transform, groupby.apply, groupby.cumcount, groupby.rank or merge_asof. Break timestamp ties on event_id.
Approach
- Sort once by ['visitor_id', 'occurred_at_utc', 'event_id'] and reset the index. The whole exercise reduces to row arithmetic on a sorted frame, and the tiebreak on event_id is what makes the result reproducible across runs.
- Mark visitor boundaries with is_first = df['visitor_id'].ne(df['visitor_id'].shift()). This is the single fact every other column derives from.
- Compute seconds_since_prev as the diff of the timestamp column, then overwrite it with NaT/NaN wherever is_first is True. The shift crosses the boundary between visitors and will otherwise hand the first row of each visitor the last event of the previous one.
- Build event_rank from a running counter that resets at boundaries: take a global cumulative position (np.arange(len(df))) and subtract, per row, the global position at which that visitor started. Get the start position by forward-filling the positions where is_first is True, which is a cumsum-free reset and is O(n).
- Verify against the forbidden method once, as a test rather than as the implementation, and confirm the two agree on every row.
Worked solution 20 min
- Sort on the three-key tuple and reset_index(drop=True).
- Compute is_first via .ne(.shift()), which is True for row 0 because the shifted value is NaN.
- pos = np.arange(len(df)); start = pd.Series(np.where(is_first, pos, np.nan)).ffill(); event_rank = (pos - start + 1).astype(int).
- gap = df['occurred_at_utc'].diff().dt.total_seconds(); gap[is_first] = np.nan.
- Assert event_rank equals df.groupby('visitor_id').cumcount() + 1 on the sorted frame.
Follow-up
- The frame does not fit in memory. How does your approach change if you can only process one visitor-partitioned chunk at a time?
- occurred_at_utc is client-supplied and sometimes runs backwards within a visitor. Does your seconds_since_prev go negative, and should it?
- How would you extend this to reset the counter at every change of surface as well as visitor?
Sessionise an event stream with gap and midnight rules
Sessionise a raw event stream. Input: a DataFrame with visitor_id, user_id (often NULL), occurred_at_utc and event_name, unsorted, up to 5 million rows. A session breaks when the gap from that visitor's previous event exceeds 30 minutes, and is force-closed at UTC midnight so no session spans two calendar dates. A gap of exactly 30 minutes does not break. Emit one row per session with session_id, visitor_id, the user_id as of the last event in the session, started_at_utc, ended_at_utc, session_date, duration_seconds and event_count. Vectorise; do not loop per visitor.
Approach
- Sort by ['visitor_id', 'occurred_at_utc', 'event_id'] once, then express the whole problem as one boolean vector: a row starts a new session when the visitor changed, or the gap exceeds 30 minutes, or the UTC date differs from the previous row's UTC date. Cumsum that vector and you have the session key.
- Get the comparison direction right on the gap: the rule is strictly greater than 1800 seconds, so an event at exactly 1800 seconds continues the session. Write it as gap > pd.Timedelta(minutes=30), and make the tie a test case rather than an assumption.
- Derive the midnight break from the date change, not from inserting synthetic boundary rows. A date change implies a break even when the gap is two seconds, which is precisely the force-close rule and is why the two conditions are ORed rather than one subsuming the other.
- Aggregate with a single groupby on the session key: min and max of occurred_at_utc, size for event_count, and last for user_id, which is correct because the frame is already sorted so 'last' is the final event in the session. That is the identity-as-of-session-end rule.
- Compute duration_seconds as (max - min).dt.total_seconds(), which makes a single-event session 0 seconds. Say so explicitly, because a downstream mean session duration is sensitive to whether single-event sessions are 0 or excluded.
Follow-up
- Sessions are used as the denominator of a conversion rate. How does moving the inactivity gap from 30 to 45 minutes move that rate, and in which direction?
- A visitor's clock is 40 minutes ahead, so their events arrive with future occurred_at values. What does your sessioniser do, and what would you rather it did?
- The same person signs up mid-session on mobile and continues on desktop. How many sessions and how many users does your output show, and is that the right answer?
Permutation test for a difference in conversion rates
Write a two-sided permutation test from scratch for a difference in conversion rates, using no scipy hypothesis function. Input: a DataFrame with unit_id, variant in {control, treatment} and converted in {0,1}, one row per randomisation unit. Compute the observed difference in proportions, then build the null distribution by reshuffling the variant labels while holding each arm's size fixed. Report the p-value as (1 + the count of permuted statistics at least as extreme in absolute value) / (B + 1) with B at least 10,000, and return the permutation distribution.
Approach
- Name the null being tested: the sharp null that each unit's outcome is the same under either label. That is what licenses permuting labels, and it is stronger than the null of equal means, which matters when someone asks whether the test is valid under unequal variances.
- Extract converted to a single numpy array of 0s and 1s and record n_treatment. Every permutation is then just a reshuffle of one array, and the treatment mean is the mean of the first n_treatment entries of the shuffled array.
- Vectorise the B permutations with rng.permuted on a tiled 2-D array, or with argsort of a (B, n) random matrix. A Python loop calling np.random.shuffle B times is correct but roughly an order of magnitude slower and often runs past the time limit.
- Use the +1 correction in both numerator and denominator. Without it a p-value of exactly 0 is reportable, which is false: the observed labelling is itself one of the permutations, so the smallest attainable p-value is 1/(B+1).
- Compare the resulting p-value against a two-proportion z-test as a sanity check. At these sample sizes they should agree closely; a large divergence means the statistic or the shuffle is wrong, not that the permutation test found something subtle.
Follow-up
- The arms are 200 and 20,000 units. Does the permutation test stay valid, and what happens to its resolution at B = 10,000?
- Give a 95 percent confidence interval for the difference. Can you get it from this permutation distribution, and if not, what would you run instead?
- The randomisation unit is user_id but the outcome is per session. What breaks, and what is the fix?
Find reactivation gaps in account paid-period history
fct_subscription_period holds account_id, subscription_id, period_start_utc, period_end_utc, period_status and change_reason. A mid-period plan or seat change closes one row and opens another, so a single continuous paid tenure is often many rows, and an account may hold two overlapping subscriptions. Collapse rows with period_status in ('active','past_due') into continuous tenures per account, treating gaps of three days or less as continuous. Return account_id, tenure_start, tenure_end, and for every tenure after the first, the gap in days that preceded it.
Approach
- Filter to paid rows only: period_status IN ('active','past_due'). Trialing periods are not tenure, and including them turns every trial that never converted into a one-period tenure followed by a fake churn.
- Order by period_start_utc and take a running maximum of all prior ends: MAX(period_end_utc) OVER (PARTITION BY account_id ORDER BY period_start_utc, period_end_utc, subscription_id ROWS BETWEEN UNBOUNDED PRECEDING AND 1 PRECEDING). Those three columns are the only stable ordering this schema exposes, so check first that they are unique within an account; if rows tie on all three, the island numbering is order-dependent between runs and you need a real row key before the result is reproducible.
- LAG on its own is wrong here because with overlapping or nested periods the immediately preceding row by start date is not the one that ends latest, so the running maximum is the part that cannot be shortcut.
- Flag a new island when prior_max_end IS NULL OR period_start_utc > prior_max_end + interval '3 days', then number islands with a running SUM of the flag over the same ordering and an explicit ROWS frame.
- Group to (account_id, island) taking MIN(period_start_utc) and MAX(period_end_utc), then LAG(tenure_end) OVER (PARTITION BY account_id ORDER BY tenure_start) to compute the preceding gap in days for every tenure after the first.
- Sanity-check with change_reason, which is the only lineage this schema carries: list its distinct values first, then confirm that rows recording a plan or seat change sit inside a tenure rather than opening one, and that every tenure after the first opens on a row whose reason records a restart rather than an ordinary renewal. Do not reconcile against a churn timestamp on dim_account, which this schema does not define; and where such a column does exist, a cancellation timestamp records when the request was made and routinely sits weeks before the period it ends.
Follow-up
- Why three days of grace? What do 0 and 30 days each do to the count of accounts classed as reactivated?
- An account runs two concurrent subscriptions for different teams. One tenure or two, and what does the revenue reader expect?
- How would you turn these tenures into a monthly gross logo churn series without double-counting an account that churned and returned in the same month?
Pair flow starts to completions within a thirty-minute bound
fct_event holds event_id, flow_id, flow_instance_id, event_name, occurred_at_utc, surface, app_version. Using only rows where event_name is 'flow_started', 'flow_completed' or 'error_shown', compute the daily core-flow completion rate by surface and app_version. Numerator: distinct flow_instance_id whose flow_completed occurs within 30 minutes of its flow_started with no error_shown for the same instance in between. Denominator: distinct flow_instance_id with a flow_started that day. Report rows with a NULL flow_instance_id as a separate coverage count, not inside either side.
Approach
- Collapse the stream to one row per flow_instance_id using conditional aggregation: MIN(occurred_at_utc) FILTER (WHERE event_name = 'flow_started') AS started, MIN(...) FILTER (WHERE event_name = 'flow_completed') AS completed, MIN(...) FILTER (WHERE event_name = 'error_shown') AS first_error. This makes the 'first' semantics explicit and avoids a self-join entirely.
- Apply the predicates on that single row: completed IS NOT NULL AND completed <= started + interval '30 minutes' AND (first_error IS NULL OR first_error > completed). Note the last clause encodes 'in between' literally, so an error surfaced after a successful completion does not disqualify the attempt.
- Bucket by started::date, surface and app_version. Splitting by app_version is not decoration: a completion-rate regression is nearly always confined to one client build, and a pooled daily rate hides it behind the installed base.
- Count NULL flow_instance_id rows as a separate coverage figure. They cannot be attributed to an attempt at all, so they belong in neither numerator nor denominator, and their share tells you how much of the rate is unmeasurable.
- For any roll-up to week or to all surfaces, re-sum the numerator and denominator rather than averaging the daily rates.
Worked solution 25 min
- Write the per-instance collapse CTE and confirm COUNT(*) equals COUNT(DISTINCT flow_instance_id).
- Add the three predicates one at a time, recording how many instances each removes.
- Aggregate by day, surface and app_version with FILTER on the clean-completion flag.
- Compute the NULL-instance coverage count as a separate select and report it alongside.
- Pick the worst day-surface-version cell and pull ten raw instances to confirm the disqualification reason.
Follow-up
- occurred_at_utc is client-supplied. What do you do with an instance whose completion timestamp precedes its start?
- flow_instance_id is missing on 4 percent of starts for one app_version. What can and cannot you conclude about that build?
- An instance starts at 23:55 and completes at 00:04. Which day owns it, and what does the alternative do to the daily series?
Measure a paid channel without a user-level experiment
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
- 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.
- 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.
- 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.
- 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.
- 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
- 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.
- Rank markets on pre-period mean and trend, form twenty matched pairs, and randomise one of each pair into the paused arm.
- 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.
- Run placebo estimates at three pre-period cut dates before committing; re-pair or abandon if any is significant.
- 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.
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?
Randomise a shared workspace feature without contaminating control
A feature changes a collaborative surface inside a workspace: when one member uses it, other members of the same account see the result in their own view. You have dim_user (user_id, account_id, is_internal), dim_account (account_id, seats_assigned, lifecycle_status) and fct_event. Among active accounts the mean seats_assigned is 6, the coefficient of variation of that count is 1.5, and the intraclass correlation of the weekly core-action rate within an account is 0.10. Choose the randomisation unit, quantify what that choice costs in sample, and specify how you would compute inference.
Approach
- State the interference before choosing anything: a treated user changes what an untreated colleague sees, so user-level randomisation puts both arms inside one account and biases the contrast toward zero. Randomise on account_id.
- Price the clustering properly. With equal clusters the design effect is 1 + (m - 1) rho = 1 + 5(0.10) = 1.5. Sizes here are far from equal, so use 1 + ((CV^2 + 1) m - 1) rho = 1 + (3.25 x 6 - 1)(0.10) = 2.85. The equal-size shortcut understates the cost by nearly half.
- Decide the estimand before the estimator. An account-weighted mean gives every workspace one vote; a user-weighted mean lets the largest workspaces dominate. With this size skew the two can move in opposite directions, so pick the one the decision needs and write it down.
- Compute standard errors on the account, not the user: cluster-robust on account_id, or collapse each account to a single number and test those. Below roughly 40 clusters per arm, cluster-robust errors are biased downward, so use a wild cluster bootstrap or randomisation inference over the assignment.
- Buy back variance where you can. Stratify assignment by seat band and lifecycle_status before randomising, and decide in advance how the handful of very large accounts are handled, since one enterprise workspace can carry more users than a hundred single-seat ones.
Follow-up
- Suppose the feature is not workspace-scoped but changes a globally shared ranking model, so no clean cluster exists. What design gets you a causal read, and what does it cost you?
- You have 900 eligible active accounts in total. Given the design effect, what absolute lift can this test detect, and is the honest answer 'do not run it'?
- The intraclass correlation is an estimate from last quarter. What happens to your sizing if the true value is 0.25?
Reminder volume where the guardrail opposes the primary metric
The growth team proposes tripling weekly reminder email volume. The north star is weekly active accounts completing a core action, counted on account_id from fct_event (is_core_action, account_id, occurred_at_utc, surface). Its stated guardrail is week-over-week repeat rate together with notification opt-out and unsubscribe rates. Reminders will move the primary up and the guardrail down, by design, and both effects are real. Define the decision rule before the test runs: what magnitudes make this a ship and what makes it a stop. Deliverable: the rule, including the exchange rate you are using between the two quantities.
Approach
- Name the conflict precisely rather than calling it a balance: the reminder buys one week of an account returning and spends permission to contact that account, and permission is not renewable, so the two quantities are not comparable as percentage points.
- Put both sides into one unit before arguing about thresholds. Value the primary gain as incremental core-action weeks over the horizon; value an opt-out as the forgone email-driven active weeks over that account's remaining expected lifetime.
- Read opt-out as a stock, not a flow: accumulate it over the test, because a weekly opt-out rate that looks small is a cumulative curve that only ever rises within a fixed set of contactable accounts.
- Run long enough for the novelty to decay and use the late number in the trade: compare week-1 lift with week-4 lift, state the decay you observed, and refuse to price the decision on a week-1 read.
- Write the outcome as two numbers and a default action, including what happens when the result lands between them — hold and test a smaller volume increment rather than shipping on ambiguity.
Follow-up
- Opt-out is flat but week-over-week repeat rate falls. What is the most likely mechanism, and does it change the decision?
- You do not have a year of data to estimate remaining account lifetime. What do you substitute, and how do you keep the answer honest about that?
- Does randomising on account rather than on user change either the readout or the size of the test?
Decide whether a one-day core-action drop is real
A daily dashboard counts distinct fct_event.user_id with is_core_action = TRUE, filtered on occurred_at_utc, and is read at 09:00 UTC. This morning it shows yesterday down 22% against the day before. fct_event is partitioned on received_at_utc. You have fct_event, fct_session and dim_user with thirteen months of history. Deliver a one-paragraph verdict, escalate or do not escalate, with the evidence that settles it, before anyone proposes a product hypothesis.
Approach
- Identify which two weekdays the comparison actually spans, then pull the same weekday-pair transition for the last 52 weeks and place the observed 22% inside that distribution. A day-over-day comparison in a product with a weekday pattern is a comparison of two different populations, so the reference class is the same transition historically, not the prior day.
- Measure partition completeness rather than assuming it. For each of the last 30 days compute the share of that day's occurred_at_utc rows that had landed by 09:00 UTC the following morning, split by surface; mobile clients buffer events offline, so the freshest partition is systematically short and the shortfall is not uniform across surfaces.
- Recompute the same series keyed on received_at_utc. If the drop survives on both keys it is not a lateness artefact; if it exists only on occurred_at_utc it is the partition filling in.
- Check the two exclusion flags before segmenting anything: a change in is_bot_flagged coverage or a batch of is_internal accounts entering or leaving moves a distinct-user count with no user behaviour behind it.
- Only if the movement survives all of the above, begin the segment decomposition. Say explicitly in the verdict which of these four checks the movement passed, so the next reader does not repeat them.
Follow-up
- What publication lag would you set for this dashboard, and how would you derive the number rather than pick it?
- If you switch the metric to received_at_utc, what does that break for anyone comparing to historical figures?
- How would you detect the same problem automatically, so a human does not have to notice it each morning?
Four days spend equal time on query work, statistics, modelling and product judgement at deliberately shallow depth, which produces a scored map of where you actually stand. The last three days spend everything on the two areas the role weights most, and close by re-running day one to measure movement.
Prepare, practise & reflect
One practical outcome each day. Spend longer where you need it.
0 / 7 done01Breadth pass: query fluency
- Solve six prompts spanning aggregation, joins, window functions and date arithmetic in 60 minutes total, stopping at 10 minutes each whether or not it works, and mark every prompt as solved, solved slowly, or stuck.
- For each unsolved prompt write the single blocking sentence (I lost the grain, I did not know the frame clause, I could not express the date boundary) instead of reading the solution.
- Translate one pandas transformation you know well into SQL and one SQL query into pandas, checking that both return the same row count and the same totals.
Deliverable: A scored six-row table, one line per prompt, saved for the day-seven re-run.
Practice prompt ↗Practice prompt ↗Worked solution ↗02Breadth pass: statistics and inference
- Answer ten short questions in writing with nothing open: what a p-value is conditional on, what a 95 percent interval covers across repeated samples, when a paired test is the right one, what the bootstrap estimates, why multiple comparisons inflate false positives, how controlling the family-wise error rate differs from controlling the false discovery rate, what power depends on, what a missed real effect costs a product, the three situations where the central limit theorem does not rescue you (small n, very heavy tails, dependent observations), and what a standard error is the standard deviation of.
- Grade yourself against a reference and count only the answers that were exactly right, not the ones that were nearly right.
- Rewrite the two weakest answers the following morning from memory in full sentences.
Deliverable: Ten graded answers with an honest count of exact hits.
Practice prompt ↗Practice prompt ↗03Breadth pass: modelling
- Take one tabular dataset end to end in 90 minutes: a leakage-safe split, a baseline that is not a model (majority class or historical mean), one regularized linear model, one gradient-boosted tree, and a single evaluation metric chosen before you look at any result.
- Write why that metric fits the cost structure: precision at a fixed recall for alerting, calibration for anything feeding a price or a threshold, ranking metrics for retrieval, and note that area under the ROC curve is insensitive to class balance in a way that can flatter a rare-positive problem.
- Name the leak you were most likely to introduce (an encoding fit on all rows before splitting, or a feature computed after the label's timestamp) and write the check that would have caught it.
Deliverable: A notebook whose first cell states the metric and the baseline, plus two lines on what beat what and by how much.
Practice prompt ↗Practice prompt ↗Worked solution ↗04Breadth pass: product judgement
- Answer three case prompts aloud at 15 minutes each, timing how long passes before you state a success metric.
- For one case write the first segmentation you would run and the row counts you expect per segment, so that a tiny segment cannot quietly drive the conclusion.
- Take a metric definition you did not write, from a public dashboard, a textbook, or documentation you already have open, and list every place two analysts implementing it would diverge: which rows the denominator admits, whether the unit is an account or a person, what the time window is anchored to, and what happens to data that arrives late. Then write the one question that would close the largest of those gaps.
Deliverable: Three recorded case answers plus an ambiguity list for a metric someone else defined, ending in the single question you would ask about it.
Practice prompt ↗Practice prompt ↗05Depth, first area
- Rank the four areas by how many bullet points in the role description each one covers, pick the top one, and spend the entire day inside it.
- Work the six hardest problems you can find in that area and for each write the generalizable move you should have reached for first, rather than the answer.
- Re-solve the two you failed the same evening with notes closed.
Deliverable: Six generalizable moves written as instructions to yourself, not as solutions.
Practice prompt ↗Practice prompt ↗Worked solution ↗06Depth, second area, and the seam between them
- Repeat the depth protocol on the second-ranked area with the same six-problem structure.
- Construct one problem that requires both areas at once, for example a metric redefinition whose effect you must validate with a test whose readout you then have to query.
- Solve your own combined problem end to end and note where the handoff between the two areas cost you time.
Deliverable: One combined problem, solved end to end, with the handoff failure written down.
Practice prompt ↗07Integration and re-measurement
- Re-run the six prompts from day one under the same clock and compare both correctness and time.
- Run a 60-minute mixed mock that moves between areas without warning, since switching cost is what breadth passes do not train.
- Write the two areas you would still fail on, and the sentence you will use in the interview when you hit one of them.
Deliverable: A before-and-after score table plus a written plan for the two remaining gaps.
Practice prompt ↗Worked solution ↗Expand any day for tasks and deliverables. Your progress is saved on this device.
Saying no well is a senior skill and it is rarely rehearsed. Think of a time you told someone their analysis was not worth doing, or that the experiment could not answer their question at the sample size available. Explain what you offered instead. Refusal without an alternative reads as obstruction rather than judgement.
Disagree with a product manager's roadmap claim using data
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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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?
Quantify your own impact without claiming the topline you touched
You are writing the impact section of your own review. Over the year you ran four experiments, one of which shipped and three of which were flat; you corrected the definition of gross monthly revenue churn so that cancellation is recognised at period_end_utc; and you built a self-serve funnel dashboard. Weekly active accounts rose 14% over the same period. Your reviewer knows the data well. Write the three impact claims you would defend, stating for each what you contributed, what evidence supports it, and what portion of the outcome you are not claiming.
Approach
- Recognise what is being probed: whether you apply to your own work the causal standard you would apply to somebody else's roadmap claim. Nearly everyone who would reject 'accounts that do Y retain better' will write 'I drove a 14% increase' without noticing it is the same error with a friendlier subject.
- Sort the work by the kind of evidence it can carry. The shipped experiment is the only item with a randomised estimate, so it is the only one where an effect size is defensible, and you claim the interval rather than the point estimate.
- Claim the three flat experiments as decisions prevented and price them. Features not built, or built differently, on evidence, with the engineering weeks reallocated as the number somebody else can verify. A defensible null is a delivered decision and should be written as one.
- Claim the definition fix as correctness, not as improvement. The old figure was overstated by a specific percentage and appeared in a specific set of recurring documents; the impact is the change it produced in the forecast built on top of it, not a change in churn itself.
- Claim the dashboard on usage and displacement: distinct weekly users of it, and the ad-hoc request count for six months before against six months after. If the request log does not exist, record the claim as unverified rather than estimating it upward.
- Disclaim the 14% explicitly and once. State that it cannot be separated from seasonality, other teams' launches and a pricing change, and bound your own contribution from above using the shipped experiment's interval converted into headline units.
Follow-up
- Your shipped experiment's interval was +0.2pp to +1.4pp on activation. How much of the 14% can that account for, and how do you say so without undercutting yourself?
- A peer in the same cycle claims the full 14%. What, if anything, do you do about it?
- If you could only keep two of your three claims, which do you drop, and why that one?
Defend a flat experiment readout against a post-hoc segment
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
- 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.
- 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.
- 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.
- 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.
- 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?
- 01
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.
- 02
You are writing the impact section of your own review. Over the year you ran four experiments, one of which shipped and three of which were flat; you corrected the definition of gross monthly revenue churn so that cancellation is recognised at period_end_utc; and you built a self-serve funnel dashboard. Weekly active accounts rose 14% over the same period. Your reviewer knows the data well. Write the three impact claims you would defend, stating for each what you contributed, what evidence supports it, and what portion of the outcome you are not claiming.
- 03
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.
Are these confirmed Remitly interview questions?
No. Every prompt here is an original PracHub practice exercise written for the Data Scientist role and for product and business analytics data problems. This guide does not claim to reproduce Remitly's interview questions, rounds or hiring timeline. Confirm the actual format, team and scope with your recruiter.
PracHub Data Scientist practice ↗Python or SQL when both are allowed?
Use SQL for filtering, joining and aggregating rows. It is shorter and it shows you can work where the data lives. Move to Python when the task needs a statistical test, a simulation, iteration over model fits, or reshaping that SQL makes unreadable. State your choice and the reason in one sentence. Pulling an entire table into a dataframe to do a group-by is the move interviewers quietly note.
PracHub Data Scientist practice ↗How do I structure an answer to "define a metric for this"?
Name the decision the metric supports, then specify it: numerator, denominator, unit of analysis (user, session or event), time window, and who is excluded. Then give one way it can be gamed or move for the wrong reason, and a guardrail that would catch that. Close with how you would validate it against an event whose effect you already know. Vagueness about the denominator is the most common way this answer falls apart.
PracHub Data Scientist practice ↗I realised mid-interview that an earlier answer was wrong. What now?
Correct it immediately and briefly. "I want to go back to something: I said the standard error shrinks like 1/n, and it shrinks like 1/sqrt(n), so my earlier estimate was too optimistic. The corrected number is this." Self-correction is a positive signal, because interviewers are watching whether you audit your own reasoning. Do not apologise repeatedly or relitigate. Fix it, say what it changes downstream, and move on.
PracHub Data Scientist practice ↗Sources & methodology 2 sources ↗
Official role evidence, timestamped platform data and clearly labeled preparation advice.
- 01PracHub Data Scientist practice ↗
Cross-company practice questions for this role. Not an employer question record.
platform · Accessed 2026-09-22 - 02PracHub interview preparation framework ↗
The shared preparation framework these checkpoints and the seven-day plan follow.
platform · Accessed 2026-09-22
Explore related engineering environments and compare the preparation focus.
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