Interview guides · ICF
ICF Data Scientist Interview Questions & Guide 2026
Modeling drills for a ICF data scientist interview: baselines, regression interpretation, class imbalance, model defense.
The 60-second brief
A Data Scientist at ICF occupies a critical position where technical rigor meets real-world impact. Unlike roles in purely consumer-facing tech firms, the work you perform here often supports government, health, and social programs, meaning your models and insights directly influence public policy, energy efficiency, and emergency management. You are not just building algorithms; you are providing the analytical foundation for decisions that affect communities on a national scale.
If the team owns experimentation, expect depth past a two-sample test: minimum detectable effect and its roughly inverse-square-root dependence on sample size (holding power, significance level and variance fixed), variance reduction from pre-period covariates, interference between units, and when a sequential design is the right call.
Focus areas
- Separate bookings, recognised revenue and collected cash
- Correct late-entered timesheets before trending recent weeks
- Compute utilisation against a defended availability denominator
Overview
In this role, you will bridge the gap between complex datasets and actionable strategy. You will work within multidisciplinary teams, translating ambiguous problems into clear, data-driven solutions. Whether you are optimizing infrastructure or modeling public health outcomes, the expectation is that you can articulate the "why" behind your technical choices to stakeholders who may not have a data science background. It is a role that demands both intellectual curiosity and the ability to maintain a high standard of professional communication.
Given the nature of ICF’s client base, particularly in the public sector, be prepared for roles that require a security clearance. Ensure your background and references are ready to support the verification process.
Where to focus your preparation
Treat the sections below as preparation areas and confirm the format with your recruiter.
Preparation focus
No round sequence has been reported for this company, so work the categories below and confirm the format with your recruiter.
What to demonstrate
- Breadth across SQL, experimentation and product reasoning
- Ability to state assumptions before choosing a method
How to prepare
- Drill the practice exercises below and time yourself
- Prepare three quantified stories about decisions you drove
Where candidates lose points
Using calendar hours, or a current rate card, as the denominator
Available hours is not days x 8. It must subtract approved leave and region-specific public holidays, scale by fte_fraction, and prorate for hire_date and termination_date inside the period; skipping this produces cross-region utilisation gaps that are purely holiday-calendar artifacts and a fake dip every time a cohort of new hires starts. Equally, bill and cost rates change over time, so joining today's dim_consultant row to last year's hours restates history. Use the rate snapshotted on the time entry, or join dim_consultant on work_date BETWEEN effective_from AND COALESCE(effective_to, 'infinity').
Computing days-to-pay or proposal cycle time over completed records only
At any snapshot date, invoices that have already been paid are disproportionately the fast ones, and proposals that already have a decision are disproportionately the quick ones. Averaging over the completed set alone biases both numbers downward, and the bias grows exactly when the business is deteriorating, because the slow cases are the ones still open. Unpaid and undecided records are right-censored; use Kaplan-Meier or a restricted mean up to a fixed horizon, and never fill paid_at with a placeholder.
Reading an observational correlation as a causal effect
Name the confounder you are most worried about and the design that would remove it: an experiment, a difference-in-differences with a checked pre-period trend, an instrument, or a regression discontinuity. When none is available, state which direction the bias likely runs and bound the claim accordingly.
Reporting a p-value with no effect size or interval
Give the estimated difference with a confidence interval in the units the business cares about, then say whether that whole interval is worth acting on. A p-value only addresses whether you can rule out exactly zero; it says nothing about magnitude.
Questions & practice
How would you approach a scenario where your model's performance degrades over time?
Medium · machine learning and modelling
Approach
- Set a baseline first, so any model has something honest to beat.
- Say how the offline result would be validated online before it is trusted.
- Check what information would not exist at prediction time, and exclude it.
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 metrics would you use to evaluate a classification model in an imbalanced dataset?
Medium · machine learning and modelling
Approach
- Set a baseline first, so any model has something honest to beat.
- Check what information would not exist at prediction time, and exclude it.
- Frame the prediction: the label, the moment of prediction, and the action it triggers.
Follow-up
- Where could label leakage enter this setup?
- How would you choose the decision threshold, and who owns that choice?
Build a dense consultant-week hours spine with zero weeks
Easy · calendar spine · groupby · missing rows
You are given time_entries (time_entry_id, consultant_id, engagement_id, charge_code, work_date as datetime64, hours, is_billable, status) and a list of consultant_ids in scope plus a start and end date. Produce a DataFrame with exactly one row per consultant per Monday-anchored week in that range, with columns consultant_id, week_start, billable_hours, total_hours. Weeks in which a consultant logged nothing must appear as zeros rather than be absent. Count only rows with status == 'approved'. Do not loop over consultants and do not use resample.
Approach
- Anchor weeks arithmetically: week_start = work_date - pd.to_timedelta(work_date.dt.weekday, unit='D'). Avoid dt.isocalendar().week, whose numbers restart each January and do not sort across a year boundary.
- Construct the spine from the inputs, not from the data: pd.date_range(start, end, freq='W-MON') crossed with the in-scope consultant_ids via pd.MultiIndex.from_product, so its size is fixed before any aggregation runs.
- Aggregate approved entries once with a single groupby on [consultant_id, week_start], producing total hours and billable hours (hours.where(is_billable, 0).sum()) in the same pass.
- Left-merge the aggregate onto the spine, fillna(0.0) on both hour columns, and keep float dtypes so later ratios do not integer-divide.
- Assert the shape before returning: len(out) == n_consultants * n_weeks, and out.total_hours.sum() equals the sum of hours over the filtered input inside the window.
Worked solution (20 min)
- Filter to status == 'approved' and to work_date within [start, end], then derive week_start by subtracting the weekday offset.
- Build weeks = pd.date_range(start_monday, end, freq='W-MON') and spine = pd.MultiIndex.from_product([consultant_ids, weeks], names=['consultant_id','week_start']).to_frame(index=False).
- agg = filtered.assign(billable_hours=filtered.hours.where(filtered.is_billable, 0.0)).groupby(['consultant_id','week_start'], as_index=False)[['hours','billable_hours']].sum().
- out = spine.merge(agg, how='left', on=['consultant_id','week_start']).fillna({'hours':0.0,'billable_hours':0.0}).rename(columns={'hours':'total_hours'}).
- Sort by consultant_id then week_start and run the two assertions on row count and hour conservation.
Expected result: A frame of exactly len(consultant_ids) x len(weeks) rows, sorted by consultant then week, in which total_hours sums to the approved hours inside the window and zero-hour weeks are present as 0.0 rather than missing.
Verify it yourself
- Row count equals n_consultants * n_weeks exactly, for a consultant list that includes someone with no entries at all.
- Total hours in the output equal total approved hours in the filtered input, to the cent.
- billable_hours <= total_hours on every row.
- A week containing a year boundary lands in one week bucket only, which is the test that catches isocalendar-based bucketing.
Follow-up
- Utilisation gets computed on this spine. What breaks for a consultant hired mid-window or terminated mid-window, and where would you fix it?
- How would you extend this to consultant x engagement x week without the spine exploding to a row count nobody can hold in memory?
Engagement margin without fan-out across two fact tables
Medium · fan-out · join grain · mix shift
fct_engagement holds engagement_id, pricing_model and contract_value_usd. fct_invoice_line holds engagement_id, line_type, amount_usd and status. fct_time_entry holds engagement_id, hours, cost_rate_usd, is_billable and status. For engagements closed last year, return fees (line_type IN ('fees','milestone','credit_note') and status <> 'draft'), delivery cost (SUM(hours * cost_rate_usd) over approved entries, billable and non-billable alike) and gross margin, grouped by pricing_model. A single SELECT joining the engagement to both fact tables and then aggregating produces wrong numbers: say what the error is, then write the correct query.
Approach
- Do the arithmetic out loud. An engagement with 40 qualifying invoice lines and 900 approved time entries yields 36,000 rows on the double join: SUM(amount_usd) comes back 900 times too large and SUM(hours * cost_rate_usd) 40 times too large. The two inflation factors are different, so the ratio moves too — per engagement the double join replaces the cost-to-fee ratio with (cost / fees) * (line count / entry count), so a true 30 percent margin reads as 1 - 0.7 * (40 / 900), about 97 percent.
- Know which shape of this bug actually survives review. The ratio is preserved only where an engagement carries the same number of qualifying invoice lines as approved time entries, and then only as a row-count-weighted margin, 1 - SUM(cost_i * k_i) / SUM(fees_i * k_i), which still differs from the true pooled margin unless k_i is constant across engagements. So you get either a total absurd enough to tempt someone into a scaling patch, or, on a population where the two counts happen to track each other, a believable-looking ratio sitting on fees and cost that are each wrong by orders of magnitude.
- Aggregate each fact table to engagement grain in its own CTE, then LEFT JOIN both onto fct_engagement. One row per engagement then holds by construction rather than by inspection.
- Include non-billable delivery hours in cost. Rework, unbilled travel and pursuit time on a live account are real fully-loaded cost, and excluding them flatters fixed-fee work specifically, which is the mix you most need to see clearly.
- Treat zero and NULL as different: an engagement with no invoice lines has undefined margin, not zero. Divide by NULLIF(fees, 0) and keep those engagements in a labelled bucket instead of letting an inner join hide them.
- Group by pricing_model before reporting any firm-wide figure, and publish the fee mix next to it. Fixed-fee margin falls as hours rise, uncapped time-and-materials margin does not, so a shift in what was sold moves the pooled number with no change in delivery at all.
Follow-up
- Decompose a period-over-period margin move into a within-pricing-model component and a between-model mix component, and show the two sum to the total.
- Where does not_to_exceed_usd change the time-and-materials picture, and how would you find engagements that crossed it?
- Roll this up to the account through parent_client_id. What must the recursive CTE guard against?
Find signed engagements with no approved billable hour
Medium · anti-join · null semantics · not exists
fct_engagement holds engagement_id, start_date and status. fct_time_entry holds time_entry_id, consultant_id, engagement_id, charge_code, work_date, hours, is_billable and status, and engagement_id is NULL on bench, leave, training and internal rows. Return engagements with start_date in the trailing quarter and status IN ('active','closed_delivered','closed_early') that have no approved billable time entry with work_date within 45 days of start_date, giving engagement_id, start_date and days elapsed. Then explain why NOT IN over a subquery selecting fct_time_entry.engagement_id is the wrong instrument here.
Approach
- Express the exclusion as NOT EXISTS with a correlated predicate covering all four conditions at once: te.engagement_id = e.engagement_id AND te.is_billable AND te.status = 'approved' AND te.work_date < e.start_date + INTERVAL '45 days'. NOT IN can only carry a single column, so a multi-condition anti-join forces a contorted subquery even before the NULL problem.
- State the NULL semantics precisely: NOT IN (SELECT engagement_id FROM fct_time_entry) evaluates to NULL rather than TRUE for every candidate as soon as one NULL is present in the list, because x <> NULL is unknown. The WHERE clause keeps only TRUE, so the query returns zero rows and reads as a clean bill of health. This table guarantees NULLs, since bench and leave rows carry no engagement.
- Note the equivalent LEFT JOIN ... WHERE te.engagement_id IS NULL form. It is correct, but it materialises a join only to discard most of it; NOT EXISTS states the intent and most planners execute both as the same anti-join.
- Guard the window against truncation: an engagement that started 10 days ago cannot yet have failed a 45-day test, so require start_date <= current_date - 45 or report the too-early set separately rather than counting them as failures.
- Decide on the late-timesheet risk explicitly. A missing entry may mean unstaffed work or an unsubmitted timesheet, so either hold the cutoff back past the measured submission lag or label the recent tail as provisional.
Worked solution (20 min)
- Count engagements matching the status and start_date predicates; this is the denominator.
- Write the NOT EXISTS version and record its row count.
- Write the NOT IN version on the same data and observe zero rows, then confirm with SELECT COUNT(*) FROM fct_time_entry WHERE engagement_id IS NULL that NULLs are present.
- Cross-check by counting engagements that DO have a qualifying entry and verifying the two counts sum to the denominator.
- Open one engagement from the result and look at its raw time entries to see whether the cause is no staffing or unapproved timesheets.
Expected result: A short list of engagement_id, start_date and days_since_start for engagements that started at least 45 days ago and carry no approved billable hour in their first 45 days. The NOT IN variant returns zero rows on the same data.
Verify it yourself
- Count of flagged engagements plus count of engagements with at least one qualifying entry equals the count of engagements matching the status and date filters.
- Every returned engagement has start_date at or before current_date - 45.
- Spot-checking one flagged engagement in fct_time_entry shows either no rows or only unapproved or non-billable rows.
- Replacing NOT EXISTS with LEFT JOIN ... IS NULL returns an identical set.
Follow-up
- Turn this into a time-to-first-billable-hour distribution. What do you do with engagements that never recorded one?
- Should client_pursuit hours count as the engagement being staffed, and how does that choice change the list?
- How would you prove the empty result from the NOT IN version is a bug rather than good news?
Can you describe the difference between supervised and unsupervised learning using an example from your past work?
Medium
Approach
- Work from the decision backwards to the evidence you would need.
- Clarify what is being asked and what a complete answer would contain.
- Say what you would check first and why it is the highest-information step.
Follow-up
- What assumption would you test first?
- How would you know your answer was wrong?
Estimate a mandatory pricing review at a value threshold
Hard · regression discontinuity · manipulation test · fuzzy rd · local estimand
Proposals with expected_value_usd at or above 250,000 must pass a mandatory pricing review before submission; below that the originating partner prices unilaterally. The rule has stood for three years, nothing was randomised, and leadership wants to know whether the review improves realisation on the resulting engagements. About 900 proposals a year land in fct_proposal, and realisation is only observable for those that reach stage = won. Design the identification strategy, state the estimand precisely, and name the two checks that would make you abandon the design.
Approach
- Set up the design. Running variable is expected_value_usd as recorded when the rule is applied, cutoff 250,000, outcome realisation on the resulting engagement. Estimate with local linear regression either side, triangular kernel, MSE-optimal bandwidth and robust bias-corrected confidence intervals. Do not fit a global high-order polynomial, which drags weight from proposals far from the cutoff onto the estimate at it.
- Check compliance before calling it sharp. If some sub-threshold proposals are reviewed voluntarily or some above-threshold ones skip review, the design is fuzzy, which is instrumental variables with the threshold indicator as the instrument. The estimate is a Wald ratio, the jump in realisation divided by the jump in review probability, and it identifies the effect for compliers at the cutoff only.
- Run the manipulation test and interpret it carefully. A density test on expected_value_usd will very likely reject, because proposal values heap at round numbers and 250,000 is exactly such a number. Heaping alone is not sorting, but a partner pricing at 249,000 to dodge review is, and both look the same in the density. Separate them by checking whether excess mass appears only just below the cutoff or at round numbers throughout the range, and by running a donut specification that drops a window around the threshold.
- Check covariate continuity at the cutoff for industry_segment, account_tier, is_competitive, practice_area and originating_partner_id, using the same local linear specification with each covariate as the outcome. A jump in any of them at 250,000 is a jump in the population rather than in the treatment, and it kills the design.
- Confront the outcome-side selection. Realisation exists only for won proposals, and review may itself move the win rate, so conditioning on a win conditions on a post-treatment variable. Estimate the RD on win rate first; if it jumps, switch to an outcome defined over all proposals, such as realised fees per proposal with losses entering as zero, or report Lee bounds rather than a point estimate.
- Size the design before committing to it. Only proposals inside the bandwidth contribute, so 2,700 proposals over three years with a bandwidth capturing perhaps 15% leaves an effective sample near 400 split across the cutoff. Compute the MDE on that number, not on 2,700, and say in advance whether it can detect the effect that would change the policy.
Worked solution (45 min)
- Histogram expected_value_usd in fine bins around 250,000 and across the full range, to separate generic round-number heaping from cutoff-specific sorting.
- Estimate the first stage: probability of a recorded review as a function of the running variable, and read the jump at the cutoff. A jump well below one means fuzzy, so move to the Wald ratio.
- Run the local linear RD on realisation with an MSE-optimal bandwidth and robust bias-corrected intervals, then repeat at half and twice that bandwidth.
- Repeat the same specification with each pre-treatment covariate as the outcome, and with placebo cutoffs at 200,000 and 300,000.
- Run the RD on win rate, then on realised fees per proposal defined over all proposals, and compare the three results.
- Report the MDE computed on the in-bandwidth proposal count alongside the estimate.
Expected result: A fuzzy RD estimate reported as a Wald ratio with robust bias-corrected intervals, described explicitly as the effect for compliers at a 250,000 proposal value, accompanied by covariate-continuity and placebo-cutoff checks that do not jump, and an MDE computed on the in-bandwidth sample rather than on three years of proposals.
Verify it yourself
- Point estimates at half and twice the MSE-optimal bandwidth should sit inside the main estimate's confidence interval; strong bandwidth sensitivity means the fit is picking up curvature rather than a jump.
- Placebo cutoffs away from 250,000 should show no discontinuity; one that does means the specification is finding structure that is not the rule.
- The first-stage jump must be large enough to keep the Wald ratio stable; a jump below roughly 0.2 in review probability makes the denominator small and the instrument weak.
- The donut estimate and the full-sample estimate should agree; a large gap points at sorting just below the threshold rather than at a treatment effect.
Follow-up
- If the density test rejects and the donut specification moves the estimate materially, what do you conclude and what do you put in the deck?
- The estimand is local to 250,000 and leadership wants to know whether to lower the threshold to 100,000. What can you honestly say?
- The review is triggered on the value at submission, but the value is revised afterwards. Which version of the running variable do you use, and why?
Realisation rate steps up overnight after a warehouse release
Medium · definition change · realisation · restatement
Realisation rate for one practice area steps from 0.93 to 1.02 on a single reporting date. Bill rates, hours worked and the client set are unchanged. The metric is SUM(amount_usd) from fct_invoice_line over SUM(hours * bill_rate_usd) from approved billable fct_time_entry rows for the same engagement and period. A warehouse release shipped that week. Determine what in the definition can produce a level shift with no operational change, and deliver a back-restated series plus the definition you would keep.
Approach
- Treat the shape as evidence: a definition change is a discontinuity at one processing boundary, while a behaviour change ramps over weeks. Plot daily, not monthly, to see which one this is before forming any hypothesis.
- Diff the metric's lineage across the release and enumerate the candidate predicates: which line_type values enter the numerator (dropping credit_note and write_off inflates it), whether the period join moved from period_start_date to issued_at, and whether the denominator counts status = 'approved' only or now includes 'submitted'.
- Run both definitions over the same fixed pre-release month. If old and new differ by approximately the size of the step, the step is definitional; if they agree, look for a behaviour change coinciding with the release date.
- Sanity-check the new level against the metric's physics: values above 1.0 are legitimate only on fixed_fee work delivered under its hour budget, so a practice dominated by time_and_materials sitting at 1.02 is itself a red flag.
- Restate the full history under the chosen definition, publish old and new series together with the changeover marked, and add a reconciliation test that recomputes one known engagement-month from raw rows.
Follow-up
- Which definition is correct, and what does excluding write-offs from the numerator do to the guardrail relationship with utilisation?
- How do you prevent the next release from silently restating a headline metric?
- If the release also changed the denominator's status filter, which direction does that push realisation and by roughly how much?
Suggested practice checklist
For someone who can already write the query and train the model but stalls when asked what to measure or whether a change is worth making. Metric definition and case structure come first; the technical work is kept as maintenance rather than the centre of the week.
Day 1 — Metric anatomy
- For three products you use daily, write one primary metric, two input metrics that plausibly move it, and one guardrail that would catch a cheap way of moving the primary at the cost of the product.
- For one of them, specify the metric precisely enough that two analysts would return the same number: numerator, denominator, unit of observation, time window, and how returning and deleted accounts are treated.
- Pick a ratio metric and write what happens to it when the denominator shrinks for reasons unrelated to the numerator, with a concrete example of that happening.
Deliverable: A one-page metric tree for one product, with the primary metric written as an unambiguous spec.
Day 2 — Diagnosing a drop without guessing
- Take the prompt "weekly active users fell 8 percent week over week" and write the segmentation plan before proposing any cause: platform, region, tenure cohort, acquisition channel, and whether the movement sits in the numerator or in a changed denominator.
- List the instrumentation failures that manufacture fake drops (a client release that stopped firing an event, a bot filter change, a shifted date boundary or timezone) and write the query that rules out each one.
- Rehearse stating the boring explanations first, seasonality and day-of-week composition, before reaching for a product cause.
Deliverable: A drop-diagnosis checklist short enough to recite from memory in under a minute.
Day 3 — Should we build it
- Take a feature idea and write it as a bet: what you believe is true, what would have to be true for it to pay off, the metric that would confirm it, and the effect size that would justify the engineering cost.
- Size the opportunity top-down and bottom-up, then reconcile the two numbers in writing instead of quoting whichever is friendlier.
- Write the counter-metric that would make you kill the feature even if it wins on the primary metric.
Deliverable: A one-page product memo ending in a decision rather than a list of considerations.
Day 4 — The places aggregate numbers lie
- Construct a Simpson's paradox numerically: two segments where the treatment wins within each segment yet loses overall, and identify the shift in segment weights that causes it.
- Take a heavy right-tailed quantity such as revenue per user and write why the mean is the wrong summary, which percentile you would report instead, and what a moving mean with a stable median tells you.
- Write your definition of a session for the product from day one, then name two real behaviours it misclassifies.
Deliverable: One page holding a worked Simpson's paradox table and a session definition with its two known failure cases.
Day 5 — Technical maintenance, aimed at metrics
- Solve four timed SQL prompts that all end in a ratio metric, so the question of grain stays live in every answer.
- Compute a 95 percent confidence interval for a proportion on a small sample, and state why the normal approximation is unreliable when either np or n(1 minus p) falls below roughly 10, along with which interval you would use instead.
- Take one metric from your day-one tree, write the query that computes it correctly, then write the query that computes it wrong in the most plausible way and explain how you would notice.
Deliverable: Four solved prompts plus a matched correct and plausible-wrong query for one metric.
Day 6 — Turning engineering work into data science stories
- Write three project stories as situation, decision, trade-off, outcome, each carrying one number and one thing you got wrong.
- For the story you will lead with, prepare an answer to "what would you do differently" that names a decision you made, not a constraint you were handed.
- Practise the sentence that reframes a systems project as a question project: the question the work answered, ahead of the pipeline it shipped.
Deliverable: Three written stories with the lead story delivered aloud and timed under four minutes.
Day 7 — Mock case and gap list
- Run a 40-minute mock case with someone playing a product manager who pushes back on your metric choice, and record it.
- Listen back and mark every moment you proposed a solution before the success metric existed.
- Rewrite those moments as the question you should have asked, and rehearse the first 90 seconds of the case until scoping comes before solving.
Deliverable: A recorded case plus a rewritten opening 90 seconds.
Being wrong in public
A number you shipped turned out to be wrong, and someone had already acted on it. That is one of the most useful stories a data person can carry. What is being scored is how fast you noticed, who you told first, and what you changed in the process so the same class of error could not repeat quietly.
How do you handle missing data in a real-world project?
Medium · behavioural and stakeholder questions
Approach
- Pick a story where you drove the decision, not one where you observed it.
- Quantify the outcome, including what you would not claim credit for.
- State the situation in two sentences and spend the rest on your reasoning.
Follow-up
- What would you do differently if you ran that project again?
- How did you know the outcome was caused by your change?
How would you explain the concept of overfitting to a non-technical stakeholder?
Medium · behavioural and stakeholder questions
Approach
- Quantify the outcome, including what you would not claim credit for.
- Close with what you would do differently, concretely.
- Pick a story where you drove the decision, not one where you observed it.
Follow-up
- How did you know the outcome was caused by your change?
- What would you do differently if you ran that project again?
Defending a fixed-fee overrun finding against the selling partner
Easy · metric definition · pricing model mix · stakeholder pushback
Over the trailing four quarters, fixed_fee engagements in one practice area show a median scope overrun ratio of 1.34, computed as approved client_delivery hours in fct_time_entry divided by fct_engagement.contracted_hours, and inception-to-date gross margin nine points below the time_and_materials book. The partner who sold most of that work says the denominator is wrong because change orders were signed, and each change order is a separate row linked by prior_engagement_id. You have ten minutes with the practice lead. Present and defend the finding.
Approach
- Say out loud what is being probed: whether a specific methodological objection makes you recompute or makes you repeat yourself. Restate the metric as numerator, denominator and window before defending anything.
- Test the objection empirically instead of debating it. Rebuild the denominator by walking the prior_engagement_id chain with a recursive CTE, summing contracted_hours across the original SOW and every extension, and summing approved delivery hours over the same chain.
- Report both numbers and say what each one answers: the original-SOW denominator answers whether the team held the scope that was signed, the chained denominator answers whether the firm estimated the total work correctly. Neither is a trick; they are different questions.
- Keep the margin claim separate from the overrun claim, and keep it stratified. Fixed_fee margin falls with hours worked while uncapped time_and_materials margin does not, so the nine-point gap is only meaningful within pricing_model, and a shift in the fixed_fee share of fees is reported alongside it.
- Close with the decision and a falsifier: if the chained overrun is near 1.0, the problem is scope control on the original SOW, and the check is whether change orders repriced at the standard rate card or at the original blended rate.
Follow-up
- The chained denominator narrows the overrun to 1.11. Does your recommendation change, and which number goes in the practice review?
- How would you distinguish an estimation problem at sale time from a delivery problem during execution, using only these tables?