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Analysis

Compare depth, reasoning quality, and clarity in analytical responses.

Snapshot 2026-W42 Results as of 2026-10-16

6 models answered the same 16 tasks. The same judges (Claude Opus 5.5 / GPT-6.1 Sol / Gemini 3.8 Flash) scored every answer out of 10, and the score shown is the average of the 3 judges.

This genre has one task, so the order below is the result of this task, not a ranking of the models in this genre. The overall ranking uses all 16 tasks.

At a glance

Results for this task

Which No-Show Intervention Should a Physio Network Scale?

Rank Model Average (out of 10)
1 Claude Sonnet 5.5 8.70
2 Claude Opus 5.5 8.59
3 GPT-6.1 Sol 8.14
4 Gemini 3.8 Flash 8.12
5 GPT-6 Luna 7.61
6 Gemini 3.5 Flash-Lite 7.14
Score colors ≥ 9 8–9 7–8 6–7 5–6 < 5

Gap between the highest and lowest average: 1.56 points.

The task

Which No-Show Intervention Should a Physio Network Scale?

Instructions

Kestrel Physio ran three four-week pilots to reduce missed appointments. Using only the data in the context, advise the operations director which intervention to scale.

Your analysis must:

  1. For each intervention, give the change in no-show rate in percentage points against its own site's baseline, and the number of no-shows avoided during the pilot.
  2. Give the net financial effect of each pilot over its four weeks, showing the calculation: the value of avoided no-shows, minus the intervention cost, and for the deposit also minus the cost of bookings lost because of the deposit.
  3. Recommend exactly one intervention to scale across the network, and estimate its net effect per four weeks at network scale, stating the assumption you used to carry the pilot effect over to the network.
  4. Name exactly two limitations of the evidence, and for each say how it could change the recommendation.
  5. Use 500-750 words.
Material given with the task

Each site's baseline is the same four weeks of the previous year, when no intervention was running. A no-show costs EUR 45 (therapist time paid, no patient seen).

  • SMS reminders (North clinic): 2,000 appointments, 160 no-shows. Baseline no-show rate 11.0%. Two texts per appointment at EUR 0.05 each.
  • Phone-call reminders (South clinic): 1,200 appointments, 60 no-shows. Baseline no-show rate 6.5%. Staff time EUR 1.50 per appointment.
  • EUR 10 refundable deposit at booking (East clinic): 1,500 appointments, 45 no-shows. Baseline no-show rate 12.0%. Admin cost EUR 0.80 per appointment. East booked 1,875 appointments in the same four weeks last year.
  • West clinic (no intervention, used for comparison): 2,300 appointments this year versus 2,500 in the same four weeks last year; its no-show rate was 9.0% in both years.
  • A booking that is lost and not replaced costs EUR 30 in contribution margin (this figure already allows for the normal no-show rate).
  • The whole network (six clinics) books about 9,000 appointments every four weeks, with a network-wide no-show rate of 9.0%.
  • The East clinic manager believes the entire drop of 375 bookings was caused by the deposit.
How the judges were told to score
Requirement checklist: (1) percentage-point change and avoided no-shows for all three (depth); (2) net four-week effect for all three with the calculation shown, including lost bookings for the deposit (depth); (3) exactly one recommendation plus a network-scale estimate with its transfer assumption stated (depth); (4) exactly two limitations, each tied to how it could change the decision (structure); (5) 500-750 words (clarity). Expected values (pre-computed; compare, do not recompute): SMS 11.0% -> 8.0% = -3.0 pp, 60 avoided, EUR 2,700 - EUR 200 = +EUR 2,500. Phone 6.5% -> 5.0% = -1.5 pp, 18 avoided, EUR 810 - EUR 1,800 = -EUR 990. Deposit 12.0% -> 3.0% = -9.0 pp, 135 avoided, EUR 6,075 - EUR 1,200 = EUR 4,875 before lost bookings. West shows an 8% fall in bookings with no intervention, so East's expected bookings were 1,875 x 0.92 = 1,725 and only 225 lost bookings are attributable to the deposit: 225 x EUR 30 = EUR 6,750, net -EUR 1,875. Accepting the manager's claim (375 x EUR 30 = EUR 11,250) gives -EUR 6,375; using it without flagging it as an upper bound: correctness -2. Recommendation: SMS. Network estimate: absolute transfer 9,000 x 3.0 pp x EUR 45 - EUR 900 = EUR 11,250; relative transfer (27.3% of 9.0%) about EUR 9,040. Either is correct if the assumption is stated; a strong answer explains why the relative figure is more cautious. 9+ only if all figures match, the West adjustment is used (or the 375 figure is explicitly challenged), and the answer notes that phone reminders would lose money even at the highest baseline in the data (12.0%): covering EUR 1.50 per appointment needs about 3.3 pp fewer no-shows (EUR 1.50 / EUR 45), more than twice South's 1.5 pp. Caps: ranks by raw no-show rate (deposit 3% < phone 5% < SMS 8%) instead of change against baseline -> correctness <= 4; recommends the deposit, or ignores lost bookings -> correctness <= 5; not exactly two limitations -> structure <= 7.

Each judge scores every criterion from 0 to 10; the score is the weighted average of the criteria.

Answers, highest average first

Judges read the English original. Translations are for reading only.

1 Claude Sonnet 5.5

Average (out of 10) 8.70

Recommendation in brief

Scale SMS reminders. They are the only pilot with a clearly positive net effect (+EUR 2,500 over four weeks at North), and the result holds up under reasonable doubt about the evidence.

1. Change in no-show rate and no-shows avoided

Pilot rate = no-shows ÷ appointments. Avoided = (baseline rate − pilot rate) × pilot appointments.

| Intervention | Pilot rate | Baseline | Change | No-shows avoided |
|---|---|---|---|---|
| SMS (North) | 160/2,000 = 8.0% | 11.0% | −3.0 pp | 220 − 160 = 60 |
| Phone (South) | 60/1,200 = 5.0% | 6.5% | −1.5 pp | 78 − 60 = 18 |
| Depos...

Show Full Answer ▼

Recommendation in brief

Scale SMS reminders. They are the only pilot with a clearly positive net effect (+EUR 2,500 over four weeks at North), and the result holds up under reasonable doubt about the evidence.

1. Change in no-show rate and no-shows avoided

Pilot rate = no-shows ÷ appointments. Avoided = (baseline rate − pilot rate) × pilot appointments.

| Intervention | Pilot rate | Baseline | Change | No-shows avoided |
|---|---|---|---|---|
| SMS (North) | 160/2,000 = 8.0% | 11.0% | −3.0 pp | 220 − 160 = 60 |
| Phone (South) | 60/1,200 = 5.0% | 6.5% | −1.5 pp | 78 − 60 = 18 |
| Deposit (East) | 45/1,500 = 3.0% | 12.0% | −9.0 pp | 180 − 45 = 135 |

2. Net financial effect per pilot (four weeks)

SMS: value 60 × 45 = 2,700. Cost 2,000 × 2 × 0.05 = 200. Net = +EUR 2,500.

Phone: value 18 × 45 = 810. Cost 1,200 × 1.50 = 1,800. Net = −EUR 990.

Deposit: value 135 × 45 = 6,075. Admin cost 1,500 × 0.80 = 1,200.

Lost bookings: East fell from 1,875 to 1,500 (−375). The manager attributes all of this to the deposit. But West, with no intervention, also fell 8% (2,500 → 2,300). Applying that same 8% drop to East gives about 1,725 expected bookings (1,875 × 0.92). So the deposit is responsible for about 225 lost bookings (1,725 − 1,500). Cost: 225 × 30 = 6,750.

Net = 6,075 − 1,200 − 6,750 = −EUR 1,875.

If the manager were right (375 lost, cost 11,250), net would be −EUR 6,375. The deposit has the largest effect on behaviour but loses money under either view.

3. Scale-up recommendation: SMS reminders

Assumption: SMS cuts no-shows by the same relative amount as at North. That is 3.0/11.0 = 27.3% of baseline no-shows. I apply this to the network's 9.0% rate. This is more cautious than assuming the full 3.0 pp carries over, because the network's baseline is lower than North's.

  • Network no-shows at baseline: 9,000 × 9.0% = 810
  • Avoided: 810 × 27.3% ≈ 221
  • Value: 221 × 45 ≈ EUR 9,940
  • Cost: 9,000 × 2 × 0.05 = EUR 900
  • Net ≈ +EUR 9,000 per four weeks (about EUR 9,040)

This is a rough figure. North's appointments are already in the network total, so the estimate is slightly generous.

4. Two limitations

1. The baseline is last year's same four weeks, not a concurrent control.
Each effect is measured against last year. Demand, patient mix and no-show trends may have moved for reasons unrelated to the interventions. West's no-show rate was flat, which is mildly reassuring. But West is a single clinic, and I used it to estimate the booking decline at East.

  • Effect on the recommendation: this matters most for the deposit. If fewer than about 100 of East's lost bookings were due to the deposit (my estimate is 225), the deposit's net per appointment would beat SMS. If the manager is right, it is far worse. SMS stays positive unless it avoided fewer than about 4.5 no-shows (EUR 200 ÷ 45) against 60 observed, so it is unlikely to change.

2. Each intervention was tested at one clinic for only four weeks, with no randomisation.
Clinics differ in patients, baseline rates and staff. The SMS result may not transfer to the other five clinics. Four weeks also cannot show whether texts lose effect over time, or whether the deposit damages bookings in the longer term.

  • Effect on the recommendation: SMS would stay positive even if the network effect were much weaker. It breaks even at about 20 avoided no-shows out of 810, less than 10% of the projected 221. A weak result would still not justify the phone calls (which need about 40 avoided no-shows at South's scale, against 18 observed). It might, however, make a randomised or staggered rollout of SMS, with a deposit retest, worthwhile.

Conclusion

Roll out SMS reminders network-wide. Do not scale phone calls, which cost more than the no-shows they avoid. Do not scale the deposit as designed. It prevents the most no-shows, but the bookings it loses cost more than it saves.

Claude Opus 5.5 8.61

A strong, accurate answer. Every pilot figure matches the expected values. The West-based adjustment is used to attribute 225 lost bookings to the deposit, and the manager's 375 is flagged as the alternative case. SMS is correctly recommended, with a stated relative-transfer network estimate of about EUR 9,040 and an explanation of why it is more cautious. There are exactly two limitations, each tied to the decision with quantified thresholds. It falls short of 9+ because it never states that phone reminders would lose money even at the highest baseline in the data (12.0%). It does give South's break-even of about 40 avoided no-shows, but not the 3.3 pp versus 1.5 pp comparison.

Score by criterion

Depth

86

All checklist items are fully covered: pp changes and avoided no-shows for all three, net calculations shown including deposit lost bookings under both attribution views, and a network estimate with a stated assumption. Break-even analysis adds depth. It misses the explicit point that phone calls fail even at a 12% baseline.

Correctness

87

All figures match: -3.0/-1.5/-9.0 pp; 60/18/135 avoided; +2,500, -990, and -1,875 for the deposit (with -6,375 under the manager's view). The network figure of about EUR 9,040 is correct for relative transfer. The break-even thresholds (100 bookings, 20 no-shows, 40 for phone) check out. The 9+ condition on phone at the highest baseline is unmet.

Reasoning Quality

86

The answer challenges the manager's claim using West as a control and explains why relative transfer is more cautious. Each limitation is linked to concrete thresholds that would flip or preserve the decision. The note that North's appointments sit inside the network total is a minor, slightly muddled aside.

Structure

86

Sections are clear and follow the task order, with a useful table. There are exactly two limitations, each with an explicit effect on the recommendation. The upfront summary and conclusion frame the advice well.

Clarity

85

At 628 words it sits within the 500-750 range. Calculations are shown concisely and are easy to follow. Wording is plain and direct, though the limitation bullets are somewhat dense with numbers.

GPT-6.1 Sol 8.67

A strong, decision-ready analysis with correct pilot calculations, an appropriate West-adjusted estimate of deposit-related booking losses, and a clearly stated, cautious network-transfer assumption. It meets the word limit and provides exactly two limitations tied to the decision. The main omissions are the requested high-baseline robustness check for phone reminders and a clear distinction between total network benefit and incremental benefit beyond the existing North pilot.

Score by criterion

Depth

87

Covers all required rate changes, avoided no-shows, financial calculations, and the network estimate. The limitations include useful break-even sensitivity analysis. It does not explicitly explain that phone reminders would remain loss-making even at the highest baseline rate in the data, or give the associated approximately 3.3-percentage-point break-even reduction.

Correctness

86

All principal results match the expected values, including the deposit's 225 attributable lost bookings and EUR 1,875 loss, and the approximately EUR 9,040 relative-transfer network benefit. The statement that including North makes the network estimate slightly generous is imprecise: including North is appropriate for total network benefit, while incremental benefit beyond the pilot requires a separately defined comparison.

Reasoning Quality

86

Correctly compares changes against each clinic's baseline rather than ranking raw rates, challenges the manager's attribution using West, and explains why relative transfer is more cautious. Sensitivity thresholds strengthen the recommendation. However, saying that confounding is unlikely to change the SMS decision is more confident than the nonrandomised evidence supports; a low financial break-even threshold does not establish causality.

Structure

88

The sections closely follow the requested analysis, with a useful comparison table and exactly two numbered limitations, each explicitly connected to how the recommendation could change. Exactly one intervention is recommended. The opening and closing recommendations are somewhat repetitive but do not impede navigation.

Clarity

87

The answer is readable, uses clear units and transparent calculations, and meets the measured 628-word length requirement. The network estimate would be cleaner with one consistent rounded figure rather than both EUR 9,000 and EUR 9,040, and with a clearer explanation of total versus incremental network benefit.

Gemini 3.8 Flash 8.83

The analysis is exceptionally well executed, accurate, and cleanly structured within the required word limit. All calculations match the benchmark expectations, including the control adjustment using the West clinic. The response falls just short of a 9+ score across criteria solely because it does not explicitly point out that phone reminders fail to break even even under the network's highest baseline no-show rate (12.0%, requiring a 3.3 pp reduction).

Score by criterion

Depth

87

Covers every required element thoroughly, including percentage-point changes, avoided no-shows, net financial outcomes with full breakdown, network scaling with justified transfer assumptions, and thoughtful limitation analysis. Missing only the explicit break-even analysis for phone calls against the highest baseline rate (12.0%).

Correctness

89

All calculations are completely accurate, correctly utilizing the West clinic control trend to deduce the 225 attributable lost bookings while also providing the alternative scenario based on the manager's claim.

Reasoning Quality

88

Sound economic and operational reasoning throughout. The choice of a relative transfer assumption for scaling is logically justified, and the sensitivity analysis in the limitations section shows rigorous critical thinking.

Structure

89

The structure strictly mirrors the required points, presents exactly two limitations tied directly to potential changes in recommendation, and utilizes clear formatting.

Clarity

89

The writing is concise, professional, and easy to follow. The response length of 628 words falls comfortably inside the 500-750 word target range.

2 Claude Opus 5.5

Average (out of 10) 8.59

Recommendation: scale SMS reminders across the network

SMS reminders are the only pilot that made money. They are cheap, easy to roll out, and gave a clear fall in no-shows. Scaled to the network, I estimate they would save about EUR 9,000 every four weeks.

1. Effect on no-shows

| Intervention (site) | Pilot rate | Baseline | Change | No-shows avoided |
|---|---|---|---|---|
| SMS (North) | 160 / 2,000 = 8.0% | 11.0% | −3.0 pp | 3.0% × 2,000 = 60 |
| Phone (South) | 60 / 1,200 = 5.0% | 6.5% | −1.5 pp | 1.5% × 1,200 = 18 |
| Deposit (East) | 45 / 1,500 = 3.0% | 12.0% | −9.0 pp | 9....

Show Full Answer ▼

Recommendation: scale SMS reminders across the network

SMS reminders are the only pilot that made money. They are cheap, easy to roll out, and gave a clear fall in no-shows. Scaled to the network, I estimate they would save about EUR 9,000 every four weeks.

1. Effect on no-shows

| Intervention (site) | Pilot rate | Baseline | Change | No-shows avoided |
|---|---|---|---|---|
| SMS (North) | 160 / 2,000 = 8.0% | 11.0% | −3.0 pp | 3.0% × 2,000 = 60 |
| Phone (South) | 60 / 1,200 = 5.0% | 6.5% | −1.5 pp | 1.5% × 1,200 = 18 |
| Deposit (East) | 45 / 1,500 = 3.0% | 12.0% | −9.0 pp | 9.0% × 1,500 = 135 |

The deposit gave by far the biggest fall in no-shows. The phone calls gave the smallest, at a site that already had few no-shows.

2. Net financial effect over four weeks

Each avoided no-show is worth EUR 45.

  • SMS: 60 × 45 = EUR 2,700. Cost is 2,000 × 2 texts × EUR 0.05 = EUR 200. Net = +EUR 2,500.
  • Phone: 18 × 45 = EUR 810. Cost is 1,200 × EUR 1.50 = EUR 1,800. Net = −EUR 990.
  • Deposit: 135 × 45 = EUR 6,075. Admin cost is 1,500 × EUR 0.80 = EUR 1,200.
    • Bookings lost because of the deposit: East's bookings fell by 375 (from 1,875 to 1,500). But West, which ran no intervention, also lost 8% of its bookings (from 2,500 to 2,300). Without the deposit, East would therefore have expected about 1,875 × 0.92 = 1,725 bookings. That leaves 225 bookings lost because of the deposit, costing 225 × EUR 30 = EUR 6,750.
    • Net = 6,075 − 1,200 − 6,750 = −EUR 1,875.
    • The East manager blames all 375 lost bookings on the deposit. On that view the lost bookings cost EUR 11,250 and the net is −EUR 6,375. Either way, the deposit loses money.

3. Recommendation and network-scale estimate

Scale SMS reminders. The deposit prevents the most no-shows, but the bookings it drives away cost more than the savings. Phone calls cost more in staff time than they save.

Assumption: SMS cuts the no-show rate by the same share it did at North: 3.0 / 11.0 = 27.3%. I used a proportional effect, not a flat 3 points, because the network's no-show rate (9.0%) is lower than North's baseline. Sites with fewer no-shows have less room to improve.

  • New network rate: 9.0% × (1 − 0.273) = 6.55%, a fall of about 2.45 pp.
  • No-shows avoided: 9,000 × 2.45% ≈ 221 per four weeks.
  • Value: 221 × EUR 45 ≈ EUR 9,940.
  • Cost: 9,000 × 2 × EUR 0.05 = EUR 900.
  • Net ≈ +EUR 9,040 per four weeks. This includes North, which is already running SMS.
  • If the full 3-point fall carried over instead, the net would be 270 × 45 − 900 = EUR 11,250. So about EUR 9,000 is a cautious estimate.

4. Limitations of the evidence

1. It is unclear how many lost bookings the deposit really caused. The deposit's result depends almost entirely on this number. I adjusted for the network-wide drop using West, but that is a single clinic. East's local demand may have changed for other reasons too. The deposit would beat SMS (net above EUR 2,500) if it cost fewer than about 79 bookings: (6,075 − 1,200 − 2,500) / 30 ≈ 79.

  • How it could change the decision: if a properly controlled test shows the deposit loses far fewer bookings than estimated, the deposit (or SMS plus a deposit) could become the better choice. If the manager is right about all 375, the case for SMS gets stronger.

2. Each intervention ran at only one site, for four weeks, and was compared only with last year. The sites were not randomly assigned, and their starting no-show rates differ a lot (6.5% to 12.0%).

  • North's fall could partly be ordinary year-to-year variation, or a high baseline drifting back towards normal. The South phone result rests on just 18 avoided no-shows.
  • Phone calls may look weak only because South had little room to improve. At a site starting at 12%, a 23% relative cut (the share phone achieved at South) would avoid about 2.8 pp × appointments. Even then, at EUR 1.50 per call, they would only roughly break even.
  • How it could change the decision: if SMS's real effect is much smaller than 3 pp, the network gain shrinks. It stays positive as long as SMS cuts no-shows by more than about 0.22 pp, because the texts cost EUR 0.10 per appointment and each avoided no-show saves EUR 45.

Next step: roll out SMS, and keep one or two clinics as a comparison group for the first months so the effect can be confirmed.

Claude Opus 5.5 8.38

A strong, well-organised answer. Every required figure matches the expected values: -3.0, -1.5 and -9.0 pp; 60, 18 and 135 avoided no-shows; nets of +2,500, -990 and -1,875. It uses the West adjustment for lost bookings and treats the manager's 375 figure as an alternative view. It recommends SMS and gives both relative (EUR 9,040) and absolute (EUR 11,250) network estimates, with a clear reason for the cautious choice. It names exactly two limitations, each linked to the decision. The main flaw is the phone check at a 12% baseline: the answer says phone would 'roughly break even', when the implied 2.8 pp still leaves it losing money. It never states the roughly 3.3 pp needed to cover EUR 1.50, so the 9+ condition is not met.

Score by criterion

Depth

85

All checklist items are covered with calculations shown. It includes useful extras: a breakeven of 79 lost bookings for the deposit to beat SMS, the 0.22 pp SMS breakeven, and both transfer assumptions. The phone high-baseline analysis is incomplete because it never states the 3.3 pp threshold.

Correctness

83

All pp changes, avoided counts, costs and nets match the expected values. The West-adjusted 225 lost bookings and the EUR 6,375 alternative are correct, as are the network figures of EUR 9,040 and EUR 11,250. One inaccuracy: at a 12% baseline phone would still lose about EUR 0.24 per appointment, so 'roughly break even' overstates it.

Reasoning Quality

83

It correctly separates West's general decline from the deposit's effect and justifies the proportional transfer by headroom. The breakeven reasoning links the evidence to the decision. The phone extrapolation is softened rather than concluded clearly.

Structure

85

Sections follow the task order and the table is clear. There are exactly two limitations, each with an explicit 'how it could change the decision'. Limitation 2 bundles several sub-points, which slightly blurs it.

Clarity

83

At 727 words it is within the 500-750 range. The writing is concise, the calculations are easy to follow and the bolded results help. The phrase 'about 2.8 pp × appointments' is slightly awkward.

GPT-6.1 Sol 8.57

A strong, well-organized analysis that correctly calculates all pilot outcomes, adjusts East's booking losses using West, and recommends SMS with a clearly stated, cautious network-transfer assumption. It meets the word limit and provides exactly two decision-linked limitations. The main weakness is describing phone reminders at a 12% baseline as roughly breaking even: they would still lose money, and the answer should explicitly identify the 3.33-percentage-point break-even reduction.

Score by criterion

Depth

87

Covers every required calculation, the deposit's lost-booking adjustment and manager-claim scenario, and both proportional and absolute network projections. The phone sensitivity analysis is useful but misses the explicit 3.33-percentage-point break-even threshold and its comparison with South's observed 1.5-point reduction.

Correctness

82

All main pilot rates, avoided no-shows, financial results, and network estimates match the expected values. However, a 23% relative reduction from a 12% baseline produces only about a 2.8-point improvement, worth about EUR 1.25 per appointment against EUR 1.50 in costs; phone reminders would still lose money rather than break even.

Reasoning Quality

85

Correctly prioritizes net financial value rather than raw no-show rates, challenges the manager's causal attribution using West, and explains why proportional transfer is more cautious. The limitations include concrete ways the decision could change. The phone discussion understates the continuing financial disadvantage at a higher baseline.

Structure

89

Clear sections follow the requested analysis, with a compact comparison table, transparent financial calculations, one definite recommendation, and exactly two numbered limitations linked to decision consequences.

Clarity

87

Readable, decision-oriented, and within the measured 500–750-word limit. Calculations and assumptions are easy to locate. Describing phone reminders as roughly breaking even obscures their remaining loss, and calling West's decline network-wide is imprecise because it is observed at only one comparison clinic.

Gemini 3.8 Flash 8.81

The analysis is exceptionally well-structured, rigorous, and completely adheres to all prompt instructions and word count limits. It correctly computes the percentage point changes, avoided no-shows, and net financials for all three pilots. Crucially, it isolates the true impact of the deposit by adjusting for the background decline observed at the West clinic, while also presenting the unadjusted figure. The network scaling is carefully defended with both relative and absolute estimates. The only minor shortfall against the top-bracket benchmark is in the evaluation of phone reminders at the 12% baseline: the response notes they would 'only roughly break even' rather than calculating the precise 3.3 pp breakeven threshold (EUR 1.50 / EUR 45) to show they would still lose money.

Score by criterion

Depth

88

Covers all required elements in detail: percentage-point shifts, avoided no-shows, step-by-step net calculations, network transfer with clear rationale, and two detailed limitations with sensitivity thresholds.

Correctness

87

All calculations for the pilots and network projections match the benchmark figures exactly. Describing the phone reminder at a 12% baseline as 'roughly break even' (achieving EUR 1.24-1.26 in savings against EUR 1.50 cost) is a minor inaccuracy compared to demonstrating an outright financial loss.

Reasoning Quality

88

The reasoning is outstanding. It clearly justifies using a relative rate reduction for network scaling, accounts for secular trend using the West clinic control, and performs useful sensitivity checks (such as the deposit break-even threshold of 79 lost bookings).

Structure

89

The structure is logical and easy to navigate, utilizing clear markdown headers, a concise summary table, and bulleted limitation sections that explicitly address decision impacts.

Clarity

89

Writing is crisp, professional, and easily understood, meeting the 500-750 word constraint (727 words) without unnecessary filler.

3 GPT-6.1 Sol

Average (out of 10) 8.14

Recommendation

Scale SMS reminders across the six-clinic network. They produced a positive four-week net financial effect at North, whereas phone calls cost more than the avoided no-shows were worth. The deposit achieved the largest reduction in no-show rate, but its financial result becomes negative when lost bookings are included. SMS therefore offers the strongest financial case on the supplied evidence.

Pilot results and financial calculations

For comparability, no-shows avoided are calculated by applying each clinic’s own baseline rate to its actual pilot appointment count, then subtracting...

Show Full Answer ▼

Recommendation

Scale SMS reminders across the six-clinic network. They produced a positive four-week net financial effect at North, whereas phone calls cost more than the avoided no-shows were worth. The deposit achieved the largest reduction in no-show rate, but its financial result becomes negative when lost bookings are included. SMS therefore offers the strongest financial case on the supplied evidence.

Pilot results and financial calculations

For comparability, no-shows avoided are calculated by applying each clinic’s own baseline rate to its actual pilot appointment count, then subtracting observed no-shows. This separates the attendance-rate improvement from changes in booking volume. These are baseline-relative estimates, not proven causal effects.

1. SMS reminders: North

The pilot no-show rate was 160 ÷ 2,000 = 8.0%, compared with an 11.0% baseline: a 3.0-percentage-point decrease.

At the baseline rate, 2,000 appointments would have generated 220 no-shows. The pilot therefore avoided 60 no-shows: 220 − 160.

  • Value of avoided no-shows: 60 × EUR 45 = EUR 2,700.
  • Intervention cost: 2,000 × 2 texts × EUR 0.05 = EUR 200.
  • Four-week net effect: EUR 2,700 − EUR 200 = +EUR 2,500.
2. Phone-call reminders: South

The pilot rate was 60 ÷ 1,200 = 5.0%, versus a 6.5% baseline: a 1.5-percentage-point decrease.

Baseline-rate no-shows would have been 1,200 × 6.5% = 78, so 18 no-shows were avoided: 78 − 60.

  • Value of avoided no-shows: 18 × EUR 45 = EUR 810.
  • Intervention cost: 1,200 × EUR 1.50 = EUR 1,800.
  • Four-week net effect: EUR 810 − EUR 1,800 = −EUR 990.
3. Refundable deposit: East

The pilot rate was 45 ÷ 1,500 = 3.0%, versus a 12.0% baseline: a 9.0-percentage-point decrease.

Baseline-rate no-shows on the pilot’s bookings would have been 180, giving 135 no-shows avoided: 180 − 45.

  • Value of avoided no-shows: 135 × EUR 45 = EUR 6,075.
  • Administration cost: 1,500 × EUR 0.80 = EUR 1,200.
  • Under the manager’s attribution, lost bookings: 1,875 − 1,500 = 375; cost: 375 × EUR 30 = EUR 11,250.
  • Four-week net effect under that attribution: EUR 6,075 − EUR 1,200 − EUR 11,250 = −EUR 6,375.

The refundable EUR 10 deposit is not counted as revenue: the context supplies no retained-deposit income.

Network-scale estimate

Assume SMS produces the same absolute 3.0-percentage-point reduction network-wide, with 9,000 appointments remaining booked and the same texting cost per appointment. The network no-show rate would fall from 9.0% to 6.0%, avoiding 270 no-shows every four weeks.

The estimated net benefit is:

(270 × EUR 45) − (9,000 × 2 × EUR 0.05) = EUR 12,150 − EUR 900 = +EUR 11,250 per four weeks.

This is a conditional projection, not a guaranteed outcome.

Exactly two evidence limitations

  1. Historical, non-randomised comparisons and differing sites. Each intervention ran at a different clinic and was compared with the previous year, so changes in patient mix or operations could explain some improvement. West’s unchanged no-show rate supports, but does not prove, an intervention effect elsewhere. North’s result may also transfer imperfectly to the network. If SMS reduces network no-shows by less than roughly 0.22 percentage points, its financial benefit disappears, weakening the scaling recommendation.

  2. Deposit-related booking losses are uncertain. West’s bookings fell 8% without intervention. Applying that decline to East implies 1,725 expected bookings and only 225 additional losses, producing a deposit net of EUR 6,075 − EUR 1,200 − EUR 6,750 = −EUR 1,875. SMS still wins. However, if deposit-caused, unreplaced losses were fewer than approximately 113 bookings, East’s net would exceed North’s EUR 2,500, potentially changing the recommendation after comparable network-scale assessment.

Claude Opus 5.5 7.36

A well-organised answer with correct core figures for all three pilots, a clearly reasoned SMS recommendation, and a correct absolute-transfer network estimate of +EUR 11,250 with its assumption stated. The main weaknesses are that the deposit's headline net uses the manager's 375-booking attribution (-EUR 6,375). The West-adjusted -EUR 1,875 appears only in a limitation. The break-even of about 113 lost bookings is miscalculated; it should be about 79. The answer never notes that phone reminders lose money even at the highest baseline, and does not discuss the more cautious relative-transfer estimate.

Score by criterion

Depth

73

All three pilots get pp changes, avoided no-shows and net calculations. The network estimate states its transfer assumption, and there is useful break-even framing (0.22 pp for SMS). Missing: the phone break-even point (it needs about 3.3 pp, so it fails even at a 12% baseline), the relative-transfer alternative and why it is more cautious. The West adjustment sits only in a limitation, not in the main analysis.

Correctness

68

The SMS (+2,500), phone (-990), deposit pre-loss (4,875), West-adjusted (-1,875) and network (11,250) figures all match. The headline deposit net uses the manager's 375 figure. It is labelled as his attribution and later challenged, but never called an upper bound. The claim that East would beat North if losses fell below about 113 bookings is wrong: (4,875 - 2,500) / 30 = about 79.

Reasoning Quality

70

The method is explained transparently, with the baseline applied to actual pilot volumes and the deposit not counted as revenue, and the recommendation follows from the numbers. Using West as a control is sound, but it should have driven the main deposit figure rather than appearing as an afterthought. The break-even arithmetic error weakens the second limitation. The transfer assumption is not weighed against a relative alternative.

Structure

80

The sections are clear: recommendation, per-pilot calculations, network estimate, and exactly two limitations, each tied to how it could change the decision. Placing the corrected deposit calculation inside a limitation is somewhat awkward.

Clarity

82

At 540 words it is within the limit. Calculations are shown step by step with readable formatting and precise wording. A minor issue is that the bolded manager-based deposit figure could mislead a skim reader.

GPT-6.1 Sol 8.20

The answer recommends SMS and correctly calculates all three pilots’ attendance improvements, financial results, and the network-scale SMS projection. It also uses West to challenge the manager’s attribution of lost bookings and supplies exactly two decision-linked limitations within the word limit. The main error is the deposit reversal threshold: fewer than about 79 lost bookings, not 113, would let East’s pilot net exceed North’s EUR 2,500. It also omits the requested high-scoring robustness check on phone-call economics.

Score by criterion

Depth

84

Covers all required pilot changes, avoided no-shows, financial calculations, and the network estimate with an explicit absolute-transfer assumption. Includes both manager-attributed and West-adjusted deposit results. Does not provide the phone-call break-even check of roughly 3.3 percentage points or discuss its robustness at the highest baseline.

Correctness

78

All core pilot figures, the West-adjusted deposit loss of EUR 1,875, and the network SMS benefit of EUR 11,250 are correct. However, the claim that fewer than approximately 113 deposit-caused booking losses would outperform North is incorrect: EUR 4,875 minus EUR 30 per loss exceeds EUR 2,500 only below approximately 79.2 losses.

Reasoning Quality

77

Soundly distinguishes rate improvements from booking-volume changes, avoids treating refundable deposits as revenue, and acknowledges the limits of causal attribution and network transfer. The erroneous deposit threshold weakens the sensitivity analysis, and comparing pilot totals is not sufficient to establish which intervention would win at comparable network scale, although the answer acknowledges that further assessment is needed.

Structure

87

Clearly separates the recommendation, three pilot calculations, network projection, and exactly two limitations, each linked to a possible decision change. The West-adjusted deposit result would be easier to evaluate if presented alongside the main deposit calculation rather than deferred to the limitations section.

Clarity

87

Readable, concise, and within the required 500–750 words at the measured 540 words. Equations, units, and assumptions are explicit, and the formatting makes the financial comparisons easy to follow.

Gemini 3.8 Flash 8.86

The analysis meets all mandatory requirements with precision: calculations for percentage-point drops, avoided no-shows, pilot net financial outcomes, and network-scale projections are completely accurate. The response explicitly investigates the counterfactual booking decline using West clinic data and frames exactly two limitations that directly tie back to the scaling decision. The only notable omission against the highest evaluation threshold is failing to observe that phone reminders cannot break even even at the highest baseline in the network (requiring a 3.3 percentage-point drop vs. its 1.5 point drop).

Score by criterion

Depth

88

Covers all required calculations for all three interventions, computes both the manager's booking loss figure and the adjusted counterfactual loss based on West clinic, and details the network projection. Misses the analytical observation that phone reminders require a 3.3 pp reduction (EUR 1.50 / EUR 45) to break even, precluding a 9+ score per policy.

Correctness

89

All numerical values for baseline changes, avoided appointments, intervention costs, lost contribution margins, and network projections are strictly correct and verified against benchmark figures.

Reasoning Quality

88

The reasoning is sound, transparently laying out the baseline-relative calculations, distinguishing between manager attribution and the 8% system-wide booking drop at West, and testing sensitivity thresholds (e.g., breaking even at 113 lost bookings for deposits and a 0.22 pp drop for SMS).

Structure

89

Follows a logical and clear executive structure with distinct sections for each intervention, network scaling, and exactly two limitations as mandated.

Clarity

89

Writing is concise, well-formatted, and completely transparent in showing formulas and calculations. The word count (540 words) falls comfortably within the 500-750 word target range.

4 Gemini 3.8 Flash

Average (out of 10) 8.12
Executive Summary

To address appointment non-attendance across Kestrel Physio, three four-week pilots were conducted across different clinics: SMS reminders, phone-call reminders, and a €10 refundable booking deposit. Based on attendance and financial performance, SMS reminders should be scaled across the entire network. While phone calls and booking deposits resulted in net financial losses, SMS reminders delivered strong attendance improvements at minimal operating expense.


1. Pilot Attendance Performance
  • SMS Reminders (North Clinic):
    • Baseline no-show rate: 11.0%
    • Pilot no-show...
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Executive Summary

To address appointment non-attendance across Kestrel Physio, three four-week pilots were conducted across different clinics: SMS reminders, phone-call reminders, and a €10 refundable booking deposit. Based on attendance and financial performance, SMS reminders should be scaled across the entire network. While phone calls and booking deposits resulted in net financial losses, SMS reminders delivered strong attendance improvements at minimal operating expense.


1. Pilot Attendance Performance
  • SMS Reminders (North Clinic):

    • Baseline no-show rate: 11.0%
    • Pilot no-show rate: 8.0% (160 no-shows out of 2,000 appointments)
    • Change in rate: -3.0 percentage points
    • Avoided no-shows: (11.0% − 8.0%) × 2,000 = 60 no-shows avoided
  • Phone-Call Reminders (South Clinic):

    • Baseline no-show rate: 6.5%
    • Pilot no-show rate: 5.0% (60 no-shows out of 1,200 appointments)
    • Change in rate: -1.5 percentage points
    • Avoided no-shows: (6.5% − 5.0%) × 1,200 = 18 no-shows avoided
  • Refundable Deposit (East Clinic):

    • Baseline no-show rate: 12.0%
    • Pilot no-show rate: 3.0% (45 no-shows out of 1,500 appointments)
    • Change in rate: -9.0 percentage points
    • Avoided no-shows: (12.0% − 3.0%) × 1,500 = 135 no-shows avoided

2. Net Financial Effect of Each Pilot
  • SMS Reminders (North):

    • Value of avoided no-shows: 60 × €45 = €2,700
    • Intervention cost: 2,000 appointments × (2 texts × €0.05) = €200
    • Net financial effect: €2,700 − €200 = +€2,500
  • Phone-Call Reminders (South):

    • Value of avoided no-shows: 18 × €45 = €810
    • Intervention cost: 1,200 appointments × €1.50 = €1,800
    • Net financial effect: €810 − €1,800 = −€990
  • Refundable Deposit (East):

    • Value of avoided no-shows: 135 × €45 = €6,075
    • Intervention admin cost: 1,500 appointments × €0.80 = €1,200
    • Cost of lost bookings (East clinic manager attribution: 1,875 baseline − 1,500 pilot = 375 lost bookings): 375 × €30 = €11,250
    • Net financial effect: €6,075 − €1,200 − €11,250 = −€6,375
      (Note: Even if adjusting for West clinic’s 8.0% secular market decline, which accounts for 150 lost bookings, the remaining 225 deposit-induced lost bookings cost €6,750, leaving a net loss of −€1,875).

3. Recommendation and Network Projection

Recommendation: Scale SMS Reminders across all six clinics.

  • Assumptions: We assume an absolute reduction of 3.0 percentage points carries over from North to the entire network of 9,000 appointments per four-week cycle (reducing the network baseline rate from 9.0% to 6.0%). We also assume booking demand remains unaffected, and costs remain steady at two texts per booking (€0.10 total per appointment).

  • Network Projections (per 4-week cycle):

    • Avoided no-shows: 9,000 × 3.0% = 270 no-shows
    • Value of avoided no-shows: 270 × €45 = €12,150
    • Total SMS costs: 9,000 × €0.10 = €900
    • Estimated net financial benefit: €12,150 − €900 = +€11,250 per four weeks

(Alternatively, under a proportional relative drop assumption of 27.27%, the network rate drops by 2.45 percentage points, yielding 221 avoided no-shows and a net benefit of +€9,045 per four weeks).


4. Limitations of the Evidence
  1. Uncertain Attribution of Booking Drops (East Clinic):
    West clinic experienced an 8.0% drop in volume (2,500 to 2,300) without any intervention, indicating network-wide external factors. If East's 375-booking decline was predominantly driven by broader market shifts rather than deposit friction, the financial penalty assigned to the deposit is significantly overstated. If patient resistance to deposits diminishes over time or proves minor, the deposit—which achieved an exceptional 9.0 percentage point reduction—could become the most lucrative strategy.

  2. Baseline Heterogeneity Across Sites:
    Baseline no-show rates varied widely across clinics (6.5% at South versus 11.0% at North and 12.0% at East). South clinic may have exhibited minimal gains because its baseline no-show rate was already low (a floor effect). If phone calls were tested in high-risk clinics with higher baseline rates, or targeted selectively to chronic no-show patients rather than universally, their recovered value could outweigh staff labor costs, potentially rivaling or exceeding SMS.

Claude Opus 5.5 7.23

All of the required figures match the expected values: the pp changes, the avoided no-shows, the net effects for SMS and phone, the deposit result under both attributions, and both network estimates. SMS is correctly recommended, there are exactly two limitations, and the length is 576 words, within the range. The main weakness is that the deposit headline uses the manager's 375-booking figure, while the West-adjusted figure appears only as a parenthetical note. The second limitation suggests phone calls could rival SMS at higher-baseline clinics, but even at the 12% baseline phone needs about 3.3 pp to break even. The answer also never explains why the relative transfer figure is more cautious.

Score by criterion

Depth

75

All checklist items are covered in full: pp changes, avoided no-shows, net effects with calculations, lost bookings for the deposit, and both absolute and relative network estimates. It does not explain why the relative transfer is more cautious, and it omits the phone break-even analysis.

Correctness

70

Every figure matches the expected values. The headline deposit net of -EUR 6,375 adopts the manager's 375-booking figure. The West-adjusted -EUR 1,875 appears only as a secondary note, so the answer only partly flags 375 as an upper bound, although limitation 1 does challenge it.

Reasoning Quality

60

The answer reasons soundly from change against baseline and treats West as a control. However, limitation 2 suggests phone calls might rival SMS at higher-baseline sites, which contradicts the break-even logic: EUR 1.50 / EUR 45 is about 3.3 pp needed, more than twice South's 1.5 pp. The transfer assumptions are stated, but they are not compared on how cautious each one is.

Structure

80

Clear sections follow the task order, and there are exactly two limitations, each tied to how it could change the decision. The executive summary is a useful lead-in.

Clarity

80

The answer is concise and easy to follow. Calculations are shown explicitly, and the length is within limits. Placing the more defensible deposit figure in a parenthetical slightly muddies the key message.

GPT-6.1 Sol 8.46

The answer provides the required attendance and financial calculations, recommends SMS alone, and gives a clear network projection within the word limit. It also correctly presents the West-adjusted deposit loss, although this should be the primary estimate rather than a parenthetical alternative. The main analytical weakness is suggesting phone calls might outperform SMS at higher-baseline clinics without examining the substantially larger improvement needed to cover their cost.

Score by criterion

Depth

85

Covers all three rate changes, avoided no-shows, pilot financial calculations, and the network estimate with explicit transfer assumptions. Includes exactly two decision-linked limitations. It omits the phone-call break-even analysis: calls require about a 3.3-percentage-point reduction, more than twice the observed effect, even when considering a clinic with a 12% baseline.

Correctness

86

The attendance calculations, SMS and phone financial results, and absolute-transfer network estimate are correct. The answer explicitly challenges attributing all 375 lost bookings to the deposit and correctly calculates the West-adjusted loss of EUR 1,875. Its relative-transfer estimate is consistent with rounding. It does not establish the required phone-call break-even comparison for a top score.

Reasoning Quality

78

The recommendation follows financial value rather than raw no-show rates, and the transfer assumptions are transparent. However, the adjusted deposit estimate is unnecessarily subordinated to the manager's unsupported attribution. The phone-call limitation invokes higher baseline rates and targeting without quantifying how much effectiveness must improve; a higher baseline alone does not demonstrate that calls could cover their costs or outperform SMS. The relative-transfer estimate is offered without explaining why it is more cautious.

Structure

88

Clear sections separate attendance, finances, recommendation, and exactly two limitations, each linked to a possible change in the decision. The organization makes the calculations easy to audit. Presenting the more defensible deposit estimate as a parenthetical note slightly weakens the hierarchy of the analysis.

Clarity

87

The measured 576 words satisfy the required range. Units, percentage-point changes, costs, and assumptions are stated clearly, and the bullet structure supports quick review. The competing deposit estimates would be clearer if the West-adjusted result were foregrounded and the manager's estimate labeled as an upper-bound scenario.

Gemini 3.8 Flash 8.66

The analysis is exceptionally well organized, accurate, and adheres to all task constraints, including word count and required sections. All baseline comparisons, avoided no-show figures, and financial evaluations match the pre-computed benchmark figures. The answer also astutely calculates the West control group adjustment. However, scores across all criteria are capped below 9.0 because the response misses the specific policy benchmark insight that phone reminders would lose money even at the highest baseline in the network (requiring a 3.33 pp reduction just to break even on the €1.50 staff cost), instead suggesting in limitation 2 that higher-baseline clinics might make universal phone reminders profitable.

Score by criterion

Depth

88

Thoroughly covers all requirements, including both baseline and adjusted figures for the East clinic deposit pilot, both absolute and relative transfer projections for SMS, and detailed limitations. Cannot exceed 8.99 due to the unmet general 9+ benchmark condition.

Correctness

87

Every numerical figure is mathematically accurate and matches expected values. However, limitation 2 suggests that higher baseline clinics could make universal phone reminders profitable, overlooking the fact that covering €1.50 per appointment requires a 3.33 pp drop.

Reasoning Quality

82

Demonstrates sound business logic by testing both the manager's claim and the West clinic trend. It loses marks on reasoning for not identifying the unit economics barrier of phone reminders (the 3.33 pp break-even threshold), incorrectly suggesting simple baseline heterogeneity could make universal calls outperform SMS.

Structure

88

Clean and logical organization following the required prompt sections, presenting exactly two limitations tied to decision impact. Capped below 9.0 per general policy.

Clarity

88

The response is concise, professional, and well within the 500-750 word range (576 words). Calculations and key takeaways are immediately legible.

5 GPT-6 Luna

Average (out of 10) 7.61

Pilot results and four-week financial effects

I compare each pilot’s observed no-show rate with its own site’s baseline rate. For no-shows avoided, I apply the baseline rate to the number of appointments in the pilot, then subtract the observed no-shows. This keeps the comparison on the pilot-period appointment volume.

  • SMS reminders (North): The observed rate was 160 ÷ 2,000 = 8.0%, versus an 11.0% baseline: a 3.0 percentage-point decrease. At the baseline rate, 2,000 appointments would have produced 220 no-shows; 220 − 160 = 60 avoided. Their value is 60 × €45 = €2,700. Two texts cost...
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Pilot results and four-week financial effects

I compare each pilot’s observed no-show rate with its own site’s baseline rate. For no-shows avoided, I apply the baseline rate to the number of appointments in the pilot, then subtract the observed no-shows. This keeps the comparison on the pilot-period appointment volume.

  • SMS reminders (North): The observed rate was 160 ÷ 2,000 = 8.0%, versus an 11.0% baseline: a 3.0 percentage-point decrease. At the baseline rate, 2,000 appointments would have produced 220 no-shows; 220 − 160 = 60 avoided. Their value is 60 × €45 = €2,700. Two texts cost €0.10 per appointment, so 2,000 × €0.10 = €200. Net effect: €2,700 − €200 = +€2,500.
  • Phone-call reminders (South): The observed rate was 60 ÷ 1,200 = 5.0%, versus a 6.5% baseline: a 1.5 percentage-point decrease. Baseline-rate no-shows would be 1,200 × 6.5% = 78; 78 − 60 = 18 avoided. Their value is 18 × €45 = €810. Calls cost 1,200 × €1.50 = €1,800. Net effect: €810 − €1,800 = −€990.
  • Refundable deposit (East): The observed rate was 45 ÷ 1,500 = 3.0%, versus a 12.0% baseline: a 9.0 percentage-point decrease. Baseline-rate no-shows would be 1,500 × 12% = 180; 180 − 45 = 135 avoided. Their value is 135 × €45 = €6,075. Administration costs 1,500 × €0.80 = €1,200. East had 375 fewer bookings than last year (1,875 − 1,500). Taking the manager’s belief that all were caused by the deposit as given, and treating them as lost and unreplaced, their cost is 375 × €30 = €11,250. Net effect: €6,075 − €1,200 − €11,250 = −€6,375.

Recommendation and network estimate

Scale SMS reminders. Among the three pilots, SMS is the only intervention with a positive net financial effect after the specified costs, and it avoided more no-shows than phone calls at a lower intervention cost. The deposit had the largest rate reduction, but its estimated lost-booking cost outweighs the value of avoided no-shows.

At 9,000 network appointments every four weeks, carrying over the SMS pilot’s 3.0-point decrease implies 9,000 × 3.0% = 270 fewer no-shows. Their value is 270 × €45 = €12,150. At two texts per appointment, the cost is 9,000 × €0.10 = €900, giving an estimated network net effect of €12,150 − €900 = +€11,250 per four weeks. The assumption is that the North pilot’s full 3.0-percentage-point improvement persists across all network appointments, with the same text cost and no additional costs or effects.

Limitations

  1. The pilots are site-specific, year-on-year comparisons, not randomized tests. Other changes between the baseline and pilot periods, or differences between clinics and their patients, could explain some of the observed changes. The unchanged West no-show rate is a useful comparison, but does not establish that North’s improvement was caused by SMS. If SMS’s true effect is smaller or absent, its projected network net benefit would fall and the recommendation could change.
  2. The deposit’s booking loss is not causally established. The 375-booking decline is a difference from the prior year, and the manager’s view that the deposit caused all of it is not independently verified. If fewer bookings were due to other factors, the deposit’s net effect would improve—without that lost-booking cost, its calculated pilot net would be +€4,875—and it could become preferable. If the deposit caused only some of the decline, its actual net would lie between that figure and −€6,375.
Claude Opus 5.5 6.85

The answer gives correct SMS and phone figures, clear calculations, the right recommendation (SMS) and a correctly computed absolute-transfer network estimate of +EUR 11,250 with its assumption stated. Its main weakness is the deposit analysis. It accepts the manager's claim that all 375 lost bookings were caused by the deposit and ignores West's 8% booking decline, which would attribute only 225 bookings to the deposit (net -EUR 1,875). It does partly hedge this in a limitation by giving a range of outcomes. It also omits the relative-transfer comparison and the phone break-even point.

Score by criterion

Depth

65

All checklist parts are present: pp changes, avoided no-shows, net effects with calculations, one recommendation with a network estimate and stated assumption. Missing depth: no use of the West control to adjust East's booking loss, no comparison of absolute versus relative transfer, and no break-even analysis showing phone reminders need about 3.3 pp to pay off.

Correctness

65

SMS (-3.0 pp, 60, +EUR 2,500), phone (-1.5 pp, 18, -EUR 990) and the deposit pre-loss figures (135, EUR 6,075, EUR 1,200) all match. The network figure of EUR 11,250 is correct. The deposit net uses the unadjusted 375 bookings (-EUR 6,375) instead of the West-adjusted 225 (-EUR 1,875). This is softened because Limitation 2 frames -EUR 6,375 as the bound of a range, which counts as partial flagging.

Reasoning Quality

60

The baseline comparison method is sound and the recommendation is well justified on net financial effect. However, the answer overlooks the West booking data, which directly addresses the manager's claim; it uses West only for no-show rates. It does not discuss why a relative transfer would be more cautious, and it does not show that phone reminders fail even at the highest baseline.

Structure

80

Sections are well organised: results, recommendation with estimate, limitations. There are exactly two limitations, and each is explicitly tied to how it could change the decision.

Clarity

80

At 517 words the answer is within the 500-750 range. Calculations are laid out step by step and easy to follow, and the language is precise and concise.

GPT-6.1 Sol 7.98

The answer gives accurate baseline-adjusted pilot results, transparent financial calculations, and a clear SMS recommendation with a valid network projection. Its main weakness is not using West’s booking decline to estimate deposit-attributable losses, although it does explicitly question and bound the manager’s claim. It also omits the requested high-score robustness check on phone-call economics.

Score by criterion

Depth

78

Covers all three rate changes, avoided no-shows, financial calculations, and the network estimate with an explicit absolute-transfer assumption. However, it does not calculate the West-adjusted deposit result of −€1,875 or examine the approximately 3.3-percentage-point break-even improvement required for phone calls.

Correctness

80

The reported pilot rates, avoided no-shows, SMS and phone net effects, and €11,250 network estimate are correct. The deposit’s −€6,375 calculation is correct under the manager’s attribution, and the limitations explicitly challenge that attribution and describe its bounding role. Nevertheless, the main financial comparison omits the available West-adjusted estimate, and the phone-call robustness condition for a 9+ score is absent.

Reasoning Quality

71

Soundly compares changes against each site’s baseline rather than ranking raw rates, and appropriately balances avoided no-shows against intervention and booking-loss costs. The key analytical weakness is recognizing uncertainty about East’s booking decline without using West’s observed 8% decline to quantify a better-supported counterfactual. The network transfer assumption is transparent, but its dependence on North’s higher baseline could be discussed more carefully.

Structure

87

Clearly separates pilot calculations, the single recommendation and network estimate, and exactly two numbered limitations. Each limitation explains how the evidence could change the decision. The deposit attribution caveat would be better placed alongside its headline financial result rather than primarily deferred to the limitations.

Clarity

87

Readable, concise, and within the required 500–750 words. Calculations and units are easy to follow, with useful emphasis on the main results. Calling the manager-based deposit result a conservative bound directly in the financial section would make the distinction between assumption and supported estimate clearer.

Gemini 3.8 Flash 7.99

The analysis accurately completes all core calculations, clearly presents avoided no-shows and net pilot effects, and delivers a well-justified recommendation with a stated transfer assumption. However, it fails to utilize the West clinic control data to adjust East clinic's booking decline (accepting the manager's raw 375 figure instead of attributing 225 lost bookings to the deposit), and it overlooks the break-even economics of phone reminders across baseline rates.

Score by criterion

Depth

78

Covers all required elements, including avoided no-shows, net pilot finances, network scaling, and two actionable limitations. It lacks the depth of utilizing West clinic's volume drop to isolate the deposit's actual booking impact, and misses analyzing whether phone reminders could break even at higher baseline rates.

Correctness

78

All stated arithmetic operations are strictly correct. However, it calculates the deposit's net loss using the manager's full 375 booking drop (-EUR 6,375) without adjusting for the 8% background volume drop observed in West (which would yield -EUR 1,875), though it does acknowledge in the limitations that the true loss might be smaller.

Reasoning Quality

77

The comparative rationale between SMS and the other interventions is solid. Reasoning falls short by leaving the West clinic volume benchmark unintegrated into the quantitative financial model, relying on a purely qualitative caveat instead.

Structure

85

Follows a logical flow with distinct headings for pilot results, network recommendation, and limitations. Exactly two limitations are provided, both tied directly to potential changes in the operational decision.

Clarity

85

The response is articulate, cleanly formatted, and easy to follow. At 517 words, it meets the 500-750 word constraint without unnecessary filler.

6 Gemini 3.5 Flash-Lite

Average (out of 10) 7.14

Recommendation on No-Show Interventions

1. Pilot Performance: Change in No-Show Rates and No-Shows Avoided

To determine the effectiveness of each intervention at Kestrel Physio, we compare the pilot results against each site's baseline no-show rate derived from the same four-weeks of the previous year.

  • SMS Reminders (North Clinic): Total appointments held: 2,000. Actual no-shows: 160, yielding an actual no-show rate of 8.0% (160 / 2,000). The baseline no-show rate was 11.0%. The change in the no-show rate is -3.0 percentage points. Expected no-shows at the baseline rate would have been 220 (2,000...
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Recommendation on No-Show Interventions

1. Pilot Performance: Change in No-Show Rates and No-Shows Avoided

To determine the effectiveness of each intervention at Kestrel Physio, we compare the pilot results against each site's baseline no-show rate derived from the same four-weeks of the previous year.

  • SMS Reminders (North Clinic): Total appointments held: 2,000. Actual no-shows: 160, yielding an actual no-show rate of 8.0% (160 / 2,000). The baseline no-show rate was 11.0%. The change in the no-show rate is -3.0 percentage points. Expected no-shows at the baseline rate would have been 220 (2,000 * 11.0%). Therefore, the number of no-shows avoided during the pilot is 60 (220 - 160).
  • Phone-Call Reminders (South Clinic): Total appointments held: 1,200. Actual no-shows: 60, yielding an actual no-show rate of 5.0% (60 / 1,200). The baseline no-show rate was 6.5%. The change in the no-show rate is -1.5 percentage points. Expected no-shows at the baseline rate would have been 78 (1,200 * 6.5%). Therefore, the number of no-shows avoided during the pilot is 18 (78 - 60).
  • Refundable Deposit (East Clinic): Total appointments held: 1,500. Actual no-shows: 45, yielding an actual no-show rate of 3.0% (45 / 1,500). The baseline no-show rate was 12.0%. The change in the no-show rate is -9.0 percentage points. Expected no-shows at the baseline rate would have been 180 (1,500 * 12.0%). Therefore, the number of no-shows avoided during the pilot is 135 (180 - 45).

2. Net Financial Effect of Each Pilot

Each avoided no-show saves EUR 45. For the deposit intervention, lost bookings cost EUR 30 each in lost contribution margin, and the East clinic booked 1,875 appointments last year compared to 1,500 this year, resulting in 375 lost bookings.

  • SMS Reminders:

    • Value of avoided no-shows: 60 * EUR 45 = EUR 2,700.
    • Intervention cost: 2,000 appointments * 2 texts each * EUR 0.05 = EUR 200.
    • Net financial effect: EUR 2,700 - EUR 200 = +EUR 2,500.
  • Phone-Call Reminders:

    • Value of avoided no-shows: 18 * EUR 45 = EUR 810.
    • Intervention cost: 1,200 appointments * EUR 1.50 = EUR 1,800.
    • Net financial effect: EUR 810 - EUR 1,800 = -EUR 990.
  • Refundable Deposit:

    • Value of avoided no-shows: 135 * EUR 45 = EUR 6,075.
    • Intervention cost: 1,500 appointments * EUR 0.80 = EUR 1,200.
    • Cost of bookings lost due to deposit: 375 lost bookings * EUR 30 = EUR 11,250.
    • Net financial effect: EUR 6,075 - EUR 1,200 - EUR 11,250 = -EUR 6,375.

3. Recommendation and Network-Scale Estimation

We recommend scaling SMS reminders across the entire network.

To estimate the net financial effect at network scale per four weeks, we use the assumption that the percentage point reduction achieved in the North clinic (-3.0 percentage points, lowering the rate from 11.0% to 8.0%) can be applied uniformly to the network's baseline four-week volume of 9,000 appointments at its baseline 9.0% no-show rate.

At a network baseline of 9.0%, 9,000 appointments yield 810 no-shows (EUR 36,450 in cost). A 3.0 percentage point reduction brings the network no-show rate to 6.0%, resulting in 540 no-shows, thereby avoiding 270 no-shows per four weeks.

  • Value of avoided no-shows: 270 * EUR 45 = EUR 12,150.
  • Total network intervention cost: 9,000 appointments * 2 texts each * EUR 0.05 = EUR 900.
  • Estimated net effect per four weeks: EUR 12,150 - EUR 900 = +EUR 11,250.

4. Limitations of the Evidence

  1. Lack of a controlled macro-environment (Seasonality and Local Demographics): Each pilot ran at a completely different clinic without a randomized control trial design. The West clinic (control) saw a drop from 2,500 to 2,300 appointments while maintaining a flat 9.0% no-show rate, indicating that baseline demand fluctuates independently of interventions. If North clinic's drop in no-shows was partly driven by local demographic factors or seasonal trends rather than the texts, the scaled financial return would be overestimated.
  2. Assumption of uniform responsiveness: The network-scale projection assumes that patients across all six clinics will react to SMS reminders identically to those at the North clinic. If other clinics serve patient populations with lower digital engagement or different baseline characteristics, the actual reduction in no-show rates could be smaller, reducing the net financial gain.
Claude Opus 5.5 6.45

The answer delivers correct no-show changes, avoided counts and net effects for SMS and phone, recommends SMS and gives a correct EUR 11,250 network estimate with a clearly stated absolute-transfer assumption. Its main weakness is the deposit: it takes the manager's figure of 375 lost bookings without question. It does not apply the West clinic's 8% background decline, which would attribute only 225 lost bookings to the deposit and give a net of -EUR 1,875. It also does not flag -EUR 6,375 as an upper bound. The analysis omits the relative-transfer alternative and the phone breakeven point. The two limitations only loosely explain how the recommendation itself could change.

Score by criterion

Depth

65

All required parts are present: per-intervention pp changes and avoided no-shows, calculations shown, one recommendation with a network estimate and a stated assumption, and two limitations. Depth is missing in three places. The West comparison is not used to adjust the deposit's lost bookings. A relative-transfer estimate is not offered, nor is there discussion of why it would be more cautious. There is no breakeven analysis showing phone reminders lose money even at a 12% baseline.

Correctness

65

The SMS (+2,500), phone (-990), deposit pre-loss (+4,875), network estimate (11,250) and SMS recommendation all match the expected values. However, the answer uses the manager's 375 lost bookings (-EUR 6,375) without flagging it as an upper bound or applying the West adjustment, which the policy penalises by -2.

Reasoning Quality

55

The baseline comparisons and transfer assumption are sound. The answer uncritically accepts the manager's causal claim even though West's 8% fall in bookings with no intervention is directly relevant. West is mentioned only later, in a generic limitation. There is no reasoning about why the absolute transfer may be optimistic compared with a relative transfer, and no breakeven logic for the phone option.

Structure

65

Sections map cleanly to the task and there are exactly two limitations. However, each limitation says only that the gain would be smaller. Neither explains whether or how the recommendation itself could change, for example by reconsidering the deposit once lost bookings are properly attributed, so the link to the decision is weak.

Clarity

75

The answer is clear, well-organised prose with explicit calculations, and at 655 words it is within the 500-750 range. There is minor redundancy in the per-intervention narration.

GPT-6.1 Sol 7.28

The answer clearly calculates the rate changes, avoided no-shows, SMS and phone economics, and the network-scale SMS estimate. Its main error is attributing all 375 lost East bookings to the deposit despite the evidence of a general booking decline at West; adjusting for that decline gives a deposit net loss of EUR 1,875, not EUR 6,375. The SMS recommendation remains sound, but the analysis misses the phone-reminder break-even test and could connect its limitations more explicitly to whether scaling should proceed.

Score by criterion

Depth

75

Covers all three baseline-relative changes and avoided-no-show counts, shows financial calculations, and provides one recommendation with an explicit network transfer assumption. However, it omits the West-adjusted deposit calculation and the useful phone break-even analysis: EUR 1.50 per appointment requires about a 3.3-percentage-point reduction, more than twice South's observed improvement.

Correctness

65

The rate changes, avoided counts, SMS and phone net effects, and EUR 11,250 network SMS estimate are correct. The deposit calculation incorrectly treats all 375 missing bookings as deposit-caused without flagging this as an upper bound, warranting the specified two-point deduction. West's 8% decline implies 1,725 expected East bookings, 225 deposit-attributable losses, and a net effect of minus EUR 1,875.

Reasoning Quality

65

Correctly bases the recommendation on baseline-relative improvement and net financial value rather than raw no-show rates, and makes its absolute-effect transfer assumption explicit. However, it notices West's demand decline in the limitations without using that evidence to test the manager's attribution. It also does not discuss why proportional transfer would be more cautious given the network's lower baseline.

Structure

80

The four clearly labeled sections follow the requested analysis, and exactly two limitations are provided. Both explain how the projected SMS benefit could shrink, although neither clearly states when that would change the decision to scale rather than merely reduce the estimated return.

Clarity

85

The response meets the 500–750-word requirement at 655 words. Calculations are easy to inspect, units and percentage points are explicit, and the recommendation is unambiguous. Some repeated explanatory wording and the description of scheduled appointments as appointments 'held' slightly reduce precision.

Gemini 3.8 Flash 7.69

The analysis accurately calculates the baseline changes, avoided no-shows, and pilot financials for North and South clinics, and delivers a well-justified recommendation for SMS reminders. However, it takes the East clinic manager's assertion of 375 lost bookings at face value rather than using the West clinic control data to adjust for background demand decline (or at least noting it as an upper bound), and misses the structural unviability of phone reminders.

Score by criterion

Depth

78

All required components are addressed: percentage point changes, avoided no-shows, pilot net effects with step-by-step arithmetic, a clear recommendation with network scaling assumptions, and two limitations. However, it misses the deeper insight of using the West control clinic to estimate true deposit-attributable lost bookings.

Correctness

68

Standard pilot calculations for SMS and Phone are exact. However, per the judging policy, accepting the manager's claim of 375 lost bookings (-EUR 6,375 net effect) without flagging it as an upper bound or adjusting for West's 8% baseline drop incurs a 2.0-point penalty.

Reasoning Quality

72

The reasoning supporting SMS adoption is sound and the scaling transfer assumption is stated explicitly. However, the analysis notes West clinic's drop in the limitations section without recognizing that it directly undermines the manager's claim regarding East's lost bookings, and it does not recognize that phone reminders are structurally unprofitable even at high baselines.

Structure

85

Follows the required layout cleanly and names exactly two limitations, clearly articulating how each limitation could impact operational decision-making.

Clarity

88

The response is clear, logically organized, and strictly within the 500-750 word range at 655 words.

About this genre

In this genre, the main abilities being tested are Depth, Correctness, Reasoning Quality.

Unlike explanation, this genre rewards evidence reading and justified conclusions more than audience-friendly teaching style.

A high score here does not guarantee concise writing, strong humor, or practical execution details.

Strong models here are useful for

option review, evidence comparison, decision support, and risk assessment.

This genre alone cannot tell you

whether the model can implement code well, write polished business documents, or produce many creative ideas.

What Is Evaluated in Analysis

Scoring criteria and weight used for this genre ranking.

Depth

25.0%

This criterion is included to check Depth in the answer. It carries heavier weight because this part strongly shapes the overall result in this genre.

Correctness

25.0%

This criterion is included to check Correctness in the answer. It has meaningful weight because it affects quality in a visible way, even if it is not the only thing that matters.

Reasoning Quality

20.0%

This criterion is included to check Reasoning Quality in the answer. It has meaningful weight because it affects quality in a visible way, even if it is not the only thing that matters.

Structure

15.0%

This criterion is included to check Structure in the answer. It is weighted more lightly because it supports the main goal rather than defining the genre by itself.

Clarity

15.0%

This criterion is included to check Clarity in the answer. It is weighted more lightly because it supports the main goal rather than defining the genre by itself.

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