← Run 20260904-150307-2b65f658
Attribution-model sensitivity analysis with duplicate and refund
task attribution-sensitivitySep 4, 2026

Answers & verdicts

Gemini 3.8 Flash high effort

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Task the exact prompt the model was given — assignment, source material, and skill guidance
Analyze the supplied order journeys for a marketing lead. Meta, Paid Search, and Email each had $600 of spend. Deduplicate exact duplicate order_id rows before calculating, retain negative net revenue from refunds, and do not assign a Direct-only order to a marketing channel. Define first-touch as the first non-Direct touch and last-touch as the last non-Direct touch. Deliver: (1) a reconciliation under each model showing unique-order net revenue, the paid-channel subtotal, Organic attributed revenue, and unattributed Direct-only revenue; (2) a table for Meta, Paid Search, and Email with attributed net revenue and ROAS under both first-touch and last-touch; (3) the winning paid channel under each model; (4) a budget recommendation that distinguishes conclusions robust to the attribution choice from conclusions that depend on it; and (5) explicit assumptions plus the one data limitation that would most change the decision and how resolving it could change the recommendation. Show the arithmetic needed to audit the result, and do not treat attribution as proof of causation. --- ## Supplied source: order-journeys.csv order_id,net_revenue_usd,touch_1,touch_2,touch_3 O-001,120,Meta,Email,Direct O-002,80,Meta,Paid Search, O-003,150,Paid Search,Email, O-004,100,Organic,Meta, O-005,200,Meta,Email, O-006,90,Paid Search,Direct, O-007,130,Email,Paid Search, O-008,110,Organic,Email, O-009,170,Meta,Paid Search,Email O-009,170,Meta,Paid Search,Email O-010,140,Paid Search,Meta, O-011,160,Email,Meta, O-012,100,Direct,, O-013,-120,Meta,Email,
Answer the model's full response$0.047 · 63.7s · 12.4k tok
### Data Cleaning & Journey Audit 1. **Deduplication:** Order `O-009` appears twice as an exact duplicate row. One instance is removed, leaving 13 unique orders (`O-001` through `O-013`). 2. **Refunds:** Order `O-013` has a net revenue of -$120, which is retained and credited negatively to the assigned touchpoint. 3. **Direct-Touch Rules:** - **First-touch:** First non-`Direct` touchpoint. - **Last-touch:** Last non-`Direct` touchpoint. - **Direct-only orders:** `O-012` consists only of a `Direct` touch and is classified as unattributed Direct revenue under both models. #### Order-Level Attribution Matrix | Order ID | Net Revenue | Touch 1 | Touch 2 | Touch 3 | First-Touch (Non-Direct) | Last-Touch (Non-Direct) | | :--- | :---: | :--- | :--- | :--- | :--- | :--- | | **O-001** | $120 | Meta | Email | Direct | **Meta** | **Email** | | **O-002** | $80 | Meta | Paid Search | — | **Meta** | **Paid Search** | | **O-003** | $150 | Paid Search | Email | — | **Paid Search** | **Email** | | **O-004** | $100 | Organic | Meta | — | **Organic** | **Meta** | | **O-005** | $200 | Meta | Email | — | **Meta** | **Email** | | **O-006** | $90 | Paid Search | Direct | — | **Paid Search** | **Paid Search** | | **O-007** | $130 | Email | Paid Search | — | **Email** | **Paid Search** | | **O-008** | $110 | Organic | Email | — | **Organic** | **Email** | | **O-009** | $170 | Meta | Paid Search | Email | **Meta** | **Email** | | **O-010** | $140 | Paid Search | Meta | — | **Paid Search** | **Meta** | | **O-011** | $160 | Email | Meta | — | **Email** | **Meta** | | **O-012** | $100 | Direct | — | — | *Unattributed (Direct-only)* | *Unattributed (Direct-only)* | | **O-013** | -$120 | Meta | Email | — | **Meta** | **Email** | --- ### (1) Net Revenue Reconciliation *Total Unique-Order Net Revenue:* $$\$120 + \$80 + \$150 + \$100 + \$200 + \$90 + \$130 + \$110 + \$170 + \$140 + \$160 + \$100 - \$120 = \mathbf{\$1,430}$$ #### Model Reconciliation Breakdown | Revenue Category | First-Touch Revenue | Last-Touch Revenue | Reconciliation Audit Formula | | :--- | :---: | :---: | :--- | | **Paid Channel Subtotal** | **$1,120** | **$1,330** | *Meta + Paid Search + Email* | | **Organic Attributed** | **$210** | **$0** | *O-004 ($100) + O-008 ($110) in FT; none in LT* | | **Unattributed (Direct-only)** | **$100** | **$100** | *O-012 ($100)* | | **Total Reconciled Revenue** | **$1,430** | **$1,430** | **Paid + Organic + Direct = Unique Net Revenue** | *Reconciliation checks:* - **First-Touch:** $\$1,120 \text{ (Paid)} + \$210 \text{ (Organic)} + \$100 \text{ (Direct)} = \mathbf{\$1,430}$ - **Last-Touch:** $\$1,330 \text{ (Paid)} + \$0 \text{ (Organic)} + \$100 \text{ (Direct)} = \mathbf{\$1,430}$ --- ### (2) Paid Channel Performance & ROAS Table Spend is fixed at **$600** per paid channel ($1,800 total paid spend). $$\text{ROAS} = \frac{\text{Attributed Net Revenue}}{\text{Spend}}$$ #### Arithmetic Audit by Channel - **Meta:** - *First-Touch Net Revenue:* $\$120\ (\text{O-001}) + \$80\ (\text{O-002}) + \$200\ (\text{O-005}) + \$170\ (\text{O-009}) - \$120\ (\text{O-013}) = \mathbf{\$450}$ - *First-Touch ROAS:* $\frac{\$450}{\$600} = \mathbf{0.75\text{x}}$ - *Last-Touch Net Revenue:* $\$100\ (\text{O-004}) + \$140\ (\text{O-010}) + \$160\ (\text{O-011}) = \mathbf{\$400}$ - *Last-Touch ROAS:* $\frac{\$400}{\$600} = \mathbf{0.67\text{x}}$ - **Paid Search:** - *First-Touch Net Revenue:* $\$150\ (\text{O-003}) + \$90\ (\text{O-006}) + \$140\ (\text{O-010}) = \mathbf{\$380}$ - *First-Touch ROAS:* $\frac{\$380}{\$600} = \mathbf{0.63\text{x}}$ ($\approx 0.633\text{x}$) - *Last-Touch Net Revenue:* $\$80\ (\text{O-002}) + \$90\ (\text{O-006}) + \$130\ (\text{O-007}) = \mathbf{\$300}$ - *Last-Touch ROAS:* $\frac{\$300}{\$600} = \mathbf{0.50\text{x}}$ - **Email:** - *First-Touch Net Revenue:* $\$130\ (\text{O-007}) + \$160\ (\text{O-011}) = \mathbf{\$290}$ - *First-Touch ROAS:* $\frac{\$290}{\$600} = \mathbf{0.48\text{x}}$ ($\approx 0.483\text{x}$) - *Last-Touch Net Revenue:* $\$120\ (\text{O-001}) + \$150\ (\text{O-003}) + \$200\ (\text{O-005}) + \$110\ (\text{O-008}) + \$170\ (\text{O-009}) - \$120\ (\text{O-013}) = \mathbf{\$630}$ - *Last-Touch ROAS:* $\frac{\$630}{\$600} = \mathbf{1.05\text{x}}$ #### Paid Channel Summary Table | Channel | Spend | FT Net Revenue | FT ROAS | LT Net Revenue | LT ROAS | | :--- | :---: | :---: | :---: | :---: | :---: | | **Meta** | $600 | $450 | **0.75x** | $400 | **0.67x** | | **Paid Search** | $600 | $380 | **0.63x** | $300 | **0.50x** | | **Email** | $600 | $290 | **0.48x** | $630 | **1.05x** | | **Paid Subtotal** | **$1,800** | **$1,120** | **0.62x** | **$1,330** | **0.74x** | --- ### (3) Winning Paid Channel Under Each Model - **First-Touch Winner: Meta** ($450 net revenue, **0.75x ROAS**). Meta initiates the largest share of net customer acquisition value. - **Last-Touch Winner: Email** ($630 net revenue, **1.05x ROAS**). Email captures the most conversions at journey completion and is the only channel with a nominal ROAS $> 1.0\text{x}$. --- ### (4) Budget Recommendation *Note: Heuristic attribution assigns descriptive credit across observed touchpoints; it does not measure incremental lift or establish causation.* #### Robust Conclusions (Independent of Attribution Model) 1. **Paid Search is Consistently Inefficient:** Paid Search is the weakest-performing paid acquisition channel under both models. It delivers a sub-break-even return whether evaluated as an introducer (0.63x ROAS) or a closer (0.50x ROAS). 2. **Paid Program Operates at an Overall Loss:** Even before factoring in cost of goods sold (COGS) or operating expenses, the overall paid media portfolio generates negative returns ($0.62\text{x}$ aggregate FT ROAS, $0.74\text{x}$ aggregate LT ROAS). 3. **Refund Concentration:** Meta-to-Email user journeys contain refunded revenue (`O-013` at -$120), highlighting that post-purchase dissatisfaction or mismatched expectations are concentrated in this specific acquisition-to-retention path. #### Model-Dependent Conclusions (Heuristic Bias) 1. **Email’s Role as a Closer vs. Driver:** Email appears unprofitable under First-Touch ($0.48\text{x}$ ROAS), but profitable under Last-Touch ($1.05\text{x}$ ROAS). Email rarely creates initial demand; it harvests demand created by upstream channels (e.g., in `O-001`, `O-003`, `O-005`, `O-009`). 2. **Meta’s Top-of-Funnel Position:** Meta generates the highest first-touch volume ($450), but drops in last-touch ($400). Shifting budget entirely to Email because of its high last-touch ROAS would starve the top-of-funnel traffic that populates the email list. #### Budget Action Plan - **Reduce Paid Search Spend by 30%–50% ($200–$300):** Reallocate Search budget away from broad discovery or unbranded keywords that fail to convert efficiently at either end of the funnel. - **Do Not Solely Fund Email Based on Last-Touch:** Reallocating the entire budget to Email is a false conclusion caused by last-touch bias. Email cannot convert prospective customers who never enter the ecosystem. - **Protect Top-of-Funnel Media (Meta) Conditionally:** Maintain Meta's role as the primary discovery engine, but re-evaluate targeting and product messaging to reduce refund rates and improve ROAS closer to a 1.0x break-even baseline. --- ### (5) Explicit Assumptions & Critical Data Limitation #### Explicit Assumptions 1. **Chronology:** The sequence `touch_1` $\rightarrow$ `touch_2` $\rightarrow$ `touch_3` reflects true temporal order. 2. **Even Cost Allocation:** The $600 spend per channel reflects comparable marginal acquisition expense over the same measurement window (rather than fixed software subscriptions for Email vs. variable media spend for Meta/Search). 3. **Refund Assignment:** The -$120 refund on `O-013` is an attributable marketing outcome rather than an exogenous fulfillment failure or defective product batch. 4. **Non-Direct Baseline:** `Direct` traffic represents baseline user navigation and carries no marketing cost or independent campaign credit when paired with other touchpoints. #### The #1 Data Limitation: Lack of Incrementality / Counterfactual Lift The single most consequential data limitation is that **these multi-touch logs do not show counterfactual outcomes (what users would have done without exposure to each touchpoint)**. - **How Email Distorts Decisions:** In last-touch attribution, Email appears to be the only profitable channel ($1.05\text{x}$ ROAS). However, email campaigns are sent to existing leads who have already demonstrated high purchase intent. If a randomized holdout test (withholding emails from a control group) reveals that 75% of those customers would have completed their purchase via Direct or Organic search anyway, Email's **incremental ROAS (iROAS)** would drop from $1.05\text{x}$ to $\approx 0.26\text{x}$. - **How Paid Search Distorts Decisions:** If Paid Search spend is concentrated on branded navigational terms, users clicking those ads would likely have clicked the Organic link immediately below it at no cost. - **Strategic Impact:** Resolving this through geo-lift experiments or conversion-lift holdouts would likely reveal that **Email and Brand Search credit is largely cannibalized baseline demand**, whereas **Meta may be driving nearly all incremental demand generation**. This would reverse the last-touch recommendation, directing capital back toward high-incrementality prospecting channels rather than downstream closers.
Score the judge's verdict, criterion by criterion10/10 criteria passed
RequirementVerdictEvidence
deduped_total
The exact duplicate O-009 row is counted once: 13 unique orders have total net revenue of $1,430.
✓Response states 'leaving 13 unique orders' and sums net revenue to $1,430.
reconciliation
Both models reconcile to $1,330 assigned non-Direct net revenue plus $100 unattributed Direct-only revenue. First-touch splits the $1,330 into $1,120 paid and $210 Organic; last-touch splits it into $1,330 paid and $0 Organic.
✓Reconciliation table shows FT: $1,120 paid + $210 Organic + $100 Direct = $1,430; LT: $1,330 paid + $0 Organic + $100 Direct = $1,430.
first_touch_oracle
First-touch paid results are correct: Meta $450 / 0.75 ROAS, Paid Search $380 / about 0.63 ROAS, Email $290 / about 0.48 ROAS.
✓FT table lists Meta $450/0.75x, Paid Search $380/0.63x, Email $290/0.48x, matching expected values.
last_touch_oracle
Last-touch paid results are correct: Meta $400 / about 0.67 ROAS, Paid Search $300 / 0.50 ROAS, Email $630 / 1.05 ROAS.
✓LT table lists Meta $400/0.67x, Paid Search $300/0.50x, Email $630/1.05x, matching expected values.
winners_flip
Meta is named the first-touch winner and Email the last-touch winner; no single paid winner is claimed across both models.
✓Section (3) names 'First-Touch Winner: Meta' and 'Last-Touch Winner: Email' without declaring a single overall winner.
refund_preserved
O-013 remains -$120 and is attributed to Meta under first-touch and Email under last-touch; it is not dropped, zeroed, or converted to positive revenue.
✓O-013 is listed as -$120 with Meta as First-Touch and Email as Last-Touch attribution, included negatively in both channel sums.
model_definitions
The analysis applies the supplied first/last non-Direct definitions consistently and does not invent fractional or platform-reported attribution.
✓The attribution matrix correctly excludes Direct touches (e.g., O-006 Paid Search/Paid Search, O-001 Meta/Email) with no fractional or platform-based credit used.
assumptions_and_limit
Assumptions are explicit; one consequential data limitation is named with how resolving it could change the recommendation; and attribution is not presented as proof of causation. Valid limitations are not restricted to one prescribed answer.
✓Section (5) lists four explicit assumptions and names lack of incrementality/counterfactual data as the key limitation, explaining how a holdout test could reverse the last-touch recommendation, while explicitly noting attribution 'does not measure incremental lift or establish causation.'
conditional_recommendation
The recommendation correctly distinguishes model-robust from model-dependent conclusions, does not declare a universal Meta-versus-Email winner, and does not treat either attribution rule as causal grounds for a decisive reallocation. It may either note that Paid Search is not the descriptive winner under these rules or defer all reallocation pending stronger evidence.
✓The response separates 'Robust Conclusions' (e.g., Paid Search underperforms under both models) from 'Model-Dependent Conclusions' (Email's FT vs LT profitability) without declaring a universal Meta-vs-Email winner.
auditable_math
The response shows enough order grouping, sums, and revenue/spend arithmetic for a reviewer to reproduce both tables.
✓The 'Arithmetic Audit by Channel' section itemizes each order's contribution to Meta, Paid Search, and Email sums under both models, enabling reproduction of the tables.