Skip to main content
reopt Handbook
reopt Handbook
Customer Conversion Simulation

Reading Guide

How to Read the EvidenceConversion Rate Intervals

Conversion Atlas

Conversion Atlas by ChannelConversion Atlas by ProductConversion Atlas by RoleKorean Conversion Atlas

Paid Marketing

Paid Channel BaselinesReported and Incremental ConversionsCreative, Retargeting, and Saturation

Referral Marketing

Referral Funnel MetricsReferral Experiments and Limits to Spread

Partners and Influencers

Influencer Marketing ConversionPartnerships, Collaborations, and Sponsorships

Ecommerce

Ecommerce Conversion BaselinesEcommerce Funnels and CartsEffect Sizes of Ecommerce Levers

SaaS

Self-Serve SaaS ConversionEarly-Stage SaaS ConversionSales-Led Conversion

Apps

Mobile App Acquisition and RetentionApp Subscription ConversionDesktop App Conversion

Consultation and Application Forms

Building Forecasts

Expert Forecasts and CalibrationChoosing a Forecasting ModelLLM Synthetic Customers

Korean Case Studies

Korean Cases: Advertising and CommerceKorean Cases: Consultations, Finance, and Public Experiments

Appendix

Handbook›Customer Conversion Simulation›LLM Synthetic Customers
한국어KOEnglishEN

LLM Synthetic Customers

Review how well LLM customers reproduce surveys and experiments, and distinguish message shortlisting from unsupported uses in sample sizing, segmentation, and conversion forecasts.

Written and reviewed by Eric Han · Co-founder & CTO, reopt

Key takeaways

  • Synthetic customers have mostly been compared with survey responses. Few studies compare them with actual A/B tests, and we found none establishing accurate absolute conversion rates.
  • Individual-level correlation for digital twins is around 0.2. Accuracy of 0.748 closes about 63% of the gap from random performance at 0.629 to retest accuracy at 0.817 (calculated).
  • Twin standard deviations are lower than human ones for 93.9% of 164 outcomes. Treating synthetic responses as a real sample invalidates confidence intervals.
  • Correlation with survey-experiment effects reaches 0.85 (Nature, 2026), but field megastudies average 0.33, with five studies ranging from 0.05 to 0.65. Those field studies concern vaccines, gyms, and nudges, not advertising.
  • Use synthetic customers to shortlist messages and ideas before human testing. Do not use them for absolute conversion rates or segment differences.

Synthetic customers are LLMs instructed to answer surveys or experiments as customers. Digital twins receive a real person's responses and attempt to answer as that person would.

Three Levels of Prediction

“Accurate” can mean three different things. Evidence strength varies substantially by level.

Correlation between synthetic customers and actual outcomes
Correlation r. Values come from different studies; retain their context.
  • Survey-experiment effects (Nature 2026)0.85
  • Survey megastudy average0.43
  • Field megastudy average0.33
  • Individual digital twins0.20
LevelRepresentative figuresAssessment
Aggregate direction and rankingOverall survey experiments r=0.85 (Nature 2026); field average r=0.33; direction accuracy 64%Conditional use
Absolute effect magnitudeRMSE 10.9 percentage points; overestimationDo not use directly
Segments and individualsIndividual r≈0.2Do not use

Individual-Level Accuracy

StudyFiguresConditionsGrade
Peng, Toubia et al., megastudyAccuracy 0.748, random 0.629, retest 0.817, correlation r≈0.2019 studies, 164 outcomes, GPT-4.1B
Toubia et al., Twin-2K-50071.72%, random 59.17%, retest 81.72%N=2,058, 500 questionsB
Park et al.GSS normalized accuracy 0.83 (raw 65.67%, self-consistency 79.53%); demographics only 0.74N=1,052, two-hour interviewsB

Normalized accuracy of 0.83 or 88% is relative to people's own consistency. Include the random baseline: Peng's data give (0.748−0.629)/(0.817−0.629)≈63%(0.748-0.629)/(0.817-0.629)\approx63\%(0.748−0.629)/(0.817−0.629)≈63%, and Toubia's give 56%.

Even twins built from roughly 500 questions are quickly matched by machine learning trained on a small sample. In Peng's study, XGBoost reached the twins' correlation with data from about 180 people.

Aggregate and Experimental Effects

StudyFiguresGrade
Ashokkumar et al., Nature 202670 survey experiments, 469 effects: r=0.85 (adjusted 0.92), laypeople 0.84, combined 0.89. Systematic overestimation of effect sizesB
Same paper's underlying data, 15 megastudiesSurvey average r=0.43; field average r=0.33 (gym 0.05; vaccines 0.17, 0.49, 0.65; nudge unit 0.27)B
Hewitt et al., 2024 preprintDirection accuracy: surveys 79%, field 64%. Magnitude RMSE 10.9 points (laypeople 8.4); shrinking by 0.56 reduces it to 5.3. Published-version figures unverifiedB
Chen, Hu, and Lu, 2025Direction accuracy 78% across 276 economics field-experiment papers. Preprint; only published conclusionsB
Cui et al.Replication of main effects in 156 scenario experiments: 73–81%; interactions: 46–63%. Effect sizes 2–3 times larger. Significant results in 68–83% of originally null casesB
Argyle et al., 2023Overall voting-choice correlations 0.90–0.94, but 0.02 among independents in 2020B

Even the field results concern public health and behavioral nudges, not ads or purchases. The 0.56 shrinkage factor was estimated from that archive and should not be transferred to marketing. Estimate an adjustment from your own experiments.

Comparisons with Actual A/B Tests

StudyFindingsLimitsGrade
Amazon persona agentsDirection accuracy 75–80% across 40 A/B testsAmbiguous tests excluded; Amazon-affiliated authors; preprintC
Upworthy headlines, LOLAAcross 17,681 A/B tests, an LLM alone struggled to choose the best headline; combining it with online learning was usefulMedia headlinesB

Evidence for shortlisting is growing, but these studies do not establish accurate absolute conversion rates.

Marketing Research

StudyWhat workedWhat did notGrade
Brand, Israeli, and NgweFluoride toothpaste WTP within 50% of human estimates. Within-category fine-tuning improved predictions for new featuresMacBook brand WTP had the opposite sign; tablet storage, RAM, and screen-size WTP overestimated by 70–312%; cross-category generalization worsened resultsB
Maier et al., PyMC Labs and ColgatePurchase-intent correlation attainment 90.2–90.6% with image stimuli and transformed free-text responsesDirect Likert responses 80–82%, distribution agreement KS 0.26–0.39; text stimuli 73.0%. One personal-care categoryC
ConsumerSimBenchAt best, captured 47.8% of real social responsesMissed more than half; Chinese-language settingB
Toubia et al.Downward-sloping demand at positive pricesFailed to reproduce 4 of 10 classic effects replicated by humans, including outcome bias, sunk-cost reversal, and Allais-type effectsB

Segment failures are especially clear. In Brand et al., human RAM WTP was $17.80 for low-income and $19.40 for high-income respondents; GPT estimated −$4.40 and $99.60. Bisbee et al. report that 48% of regression coefficients differed significantly, and 32% of those even reversed sign.

Collapsing Variance

  • Peng: twin SD was smaller than human SD in 154/164 outcomes (93.9%).
  • Bisbee: pooled SD was 31.4 for humans versus 16.1 for synthetic respondents. Power calculations using synthetic SD and effect sizes suggested only 33 respondents for 99% power, almost an order of magnitude below the actual requirement.
  • Tigre and Souto, 2026: even after calibration with human data, outcome-dependent response (MNAR) reduced 95% CI coverage for Twin-2K purchase rates to as low as 4.20%.

Do not treat the number of synthetic responses as a sample size.

Decisions by Use Case

UseAssessmentEvidence
Shortlisting copy and ideas before human testsConditional useBrand, Maier
Ranking treatment directionsConditional. Stronger for survey experiments, but field r=0.33 and direction accuracy 64%; weak evidence for ranking similar candidates. Combine with human forecastsNature 2026 (combined r=0.89), Hewitt et al., Upworthy
Absolute effect sizesDo not useSystematic overestimation, often 2–3 times
Absolute conversion ratesDo not useNo supporting evidence
Sample sizes and confidence intervalsDo not useBisbee, Peng
Segment differencesDo not useArgyle, Brand; preprint interaction-effect r from −0.03 to 0.16 (adjusted 0.17–0.55)
Individual targetingDo not user≈0.2
Korean customersDo not use before internal validationOnly survey/voting replications found, with large errors; no purchase-behavior replication found (Korean replications)

Korean Replications

Studies reproducing Korean surveys and voting have begun to appear. We found no purchase-behavior replication, so do not use them for absolute conversion rates. Grades appear at the end of the first cell.

StudyFindings
Kim and Cho, 2026, BOverall MAE 13.8–17.0 percentage points. Binary-question correlations 0.81–0.91 coexist with large level errors. Gender/age-cell MAE of 15.1–18.3 points fell to 4.4–4.9 using 30% real responses for calibration, still worse than 3.6 using those responses directly. Synthetic-panel advantages remained only below about 250–860 real responses
Jang et al., 2026, BAverage group-level gap 29 points; between-group direction matched in 49 of 110 cases. Two personas in the same cell chose the same answer with 46–47% probability versus 4–8% for real respondents. Within-group variance disappeared. Preprint
Lee et al., 2025, BMinimum-wage agreement among very progressive respondents: 45.2% actual versus 0% synthetic. Ideological extremes were exaggerated
Kang, 2026, BCorrect presidential winner in 3 elections (95% CI 29.2–100%); calibrated prompts reduced MAE from 36.8 to 7.1 points. Public election results may overlap training data; this is not consumer conversion. Preprint
Bae, 2026, BFemale representation in male-dominated occupations was 2.1–3.0 times official statistics in synthetic persona data. Correct marginal distributions can coexist with incorrect joint distributions. Preprint

Operating Rules

Freeze prompts before seeing results. Manning and Horton warn that enough prompt search can fit human distributions even with arbitrary prompts.
Collect free-text responses and transform them instead of asking direct Likert questions. Similar response distributions do not guarantee accurate effect predictions (Ji and Li); separately test whether the model can reproduce past experimental results.
Record the model, version, and date. Bisbee showed changes within the same model over a few months.
Run multiple models and inspect disagreements.
First try reproducing several past experiments. If it fails, do not use it in that domain.
Pass results downstream only as a shortlist for human testing.

A baseline worth comparing

Averaging five experts reduces individual forecast error by about 33% (169 → 114 mean absolute error in a real-effort task; calculated). Before building a synthetic-customer system, compare it against a small expert ensemble. In the Nature paper's megastudies, LLM and expert predictions were similar.

Will Better Models Solve This?

The evidence spans GPT-3 through GPT-5.2. Peng's study still found variance collapse and mean bias with 2025 models. Do not assume the problem will soon disappear. Repeat these replication tests when a new model becomes available.

Related docs

Effect Sizes of Ecommerce Levers

Distinguish evidence on speed, reviews, free shipping, discounts, and checkout UX, and examine realistic A/B test effects.

Choosing a Forecasting Model

Compare Bass diffusion, BG/NBD, agent-based models, and MMM by their equations, data requirements, appropriate uses, and limitations.

Korean Cases: Advertising and Commerce

Review Naver log analyses, advertising-platform cases, store conversion, repeat-purchase filings, company experiments, and live commerce with denominators and evidence grades.

On this page

Three Levels of PredictionIndividual-Level AccuracyAggregate and Experimental EffectsComparisons with Actual A/B TestsMarketing ResearchCollapsing VarianceDecisions by Use CaseKorean ReplicationsOperating RulesWill Better Models Solve This?