Your Churn Model Identifies High-Risk Customers. But Who Would Actually Respond to a Retention Offer?

Comparison of three customer segments showing churn risk, incremental retention lift, and modeled net contribution from retention offers.

A subscription company has developed a machine learning model to predict customer churn.

The model assigns each customer a probability of leaving within the next 90 days.

Management decides to use those predictions to distribute retention offers.

Customers with the highest predicted churn probabilities receive discounts first.

The logic seems reasonable.

If a customer is likely to leave, offering an incentive might persuade that customer to stay.

But there is an important question the churn model does not answer:

Would that customer actually stay because of the offer?

Some customers are likely to leave regardless of what the company offers.

Others are likely to remain customers without receiving any incentive.

A third group might genuinely change its behavior because of the intervention.

These groups can have very different economic implications.

This is the distinction between churn prediction and uplift modeling.

Churn prediction estimates the likelihood of an outcome.

Uplift modeling attempts to estimate how an intervention changes that outcome.

For a business deciding whom to contact, which offer to provide, or where to allocate a limited retention budget, that difference can be more important than predictive accuracy alone.

The Short Answer: Churn Risk Is Not Retention Uplift

A churn prediction model estimates the probability that a customer will leave within a specified period.

For example:

Customer A:

Predicted 90-day churn probability: 65%.

Customer B:

Predicted 90-day churn probability: 40%.

Customer C:

Predicted 90-day churn probability: 10%.

A risk-based targeting policy would normally prioritize Customer A.

But a customer's probability of leaving is not the same as the probability that an intervention will prevent that departure.

Uplift modeling focuses on the difference between two potential outcomes:

What would happen if the customer received the intervention?

What would happen if the customer did not receive it?

For a retention outcome, a simplified definition is:

Retention Uplift = P(Retained | Intervention, Customer Characteristics) - P(Retained | No Intervention, Customer Characteristics)

The probabilities in this expression must represent estimated potential outcomes under the two interventions.

They should not be interpreted as a causal effect merely because a predictive model includes a treatment indicator.

A credible uplift estimate requires a suitable causal identification strategy.

Randomized experiments are particularly valuable because treatment assignment is independent of customer characteristics by design, subject to successful implementation.

The central distinction is simple:

A churn model asks who is likely to leave.

An uplift model asks whose outcome is likely to change because of an intervention.

Why High-Risk Customers May Be Poor Retention Targets

Consider three broad customer types.

Customers Likely to Leave Regardless

Some customers have already decided to switch providers.

Their needs may have changed.

They may be dissatisfied with the product.

They may have moved to a competitor.

A small discount might have little influence on their decision.

These customers can have high churn risk but low retention uplift.

Customers Likely to Stay Anyway

Other customers are highly satisfied.

They regularly use the product.

They have little reason to cancel.

Offering them a discount may reduce revenue without changing their behavior.

These customers can have low churn risk and little incremental benefit from an offer.

Customers Whose Decision Can Be Influenced

A third group may be uncertain.

Perhaps the subscription price is becoming difficult to justify.

Perhaps they are considering alternatives but still value the product.

A relevant intervention may change their decision.

These customers may have moderate churn risk but relatively high retention uplift.

The economically useful target is not necessarily the customer with the highest predicted risk.

It may be the customer with the largest expected incremental benefit from the intervention.

However, these customer types are conceptual categories.

They are not directly observable labels for individual customers.

A business generally cannot know with certainty what one customer would have done under both treatment conditions.

Why the Counterfactual Matters

Suppose a company sends a retention offer to 1,000 customers.

After 90 days, 700 remain subscribed.

The observed retention rate is:

700 / 1,000 = 70%.

Can the company conclude that the offer retained 700 customers?

No.

Some of those customers would have remained subscribed without the offer.

The relevant question is:

How many additional customers remained because the intervention was offered?

This requires a comparison with what would have happened without the intervention.

That unobserved alternative is the counterfactual.

For each customer, define two potential outcomes:

Y(1): Whether the customer would remain if assigned the retention offer.
Y(0): Whether the customer would remain without the offer.

The individual treatment effect is:

Y(1) - Y(0).

But only one of these potential outcomes can be observed for a given customer under the actual assignment.

This is the fundamental challenge of causal inference.

A randomized holdout group provides a way to estimate average effects by comparing outcomes across customers assigned to treatment and control.

For a broader introduction to this distinction, see Marketing Attribution vs. Incrementality.

A Worked Example: Three Customer Segments

Consider a hypothetical subscription company.

It has 3,000 customers eligible for a retention campaign.

The company divides them into three equally sized segments using information available before the campaign.

Each segment contains 1,000 customers.

The segments differ in baseline churn risk.

Segment A:

High churn risk.

Segment B:

Medium churn risk.

Segment C:

Low churn risk.

The company conducts a randomized experiment within each segment.

For every segment:

500 customers are randomly assigned to receive the retention offer.

500 customers are assigned to a no-offer control group.

All customers are observed over the same 90-day outcome window.

For this illustration, assume:

  • Treatment assignment is implemented correctly.
  • Customers are assigned independently within segments.
  • Each customer appears in only one experimental group.
  • Segment definitions are fixed before assignment.
  • Retention is measured consistently.
  • Outcomes are completely observed at 90 days.
  • There is no material interference between customers.
  • Assignment does not change the outcome measurement process.

These assumptions are important.

Real experiments may require additional checks for noncompliance, spillovers, missing outcomes, and other problems.

The hypothetical results are:

SegmentTreatment RetainedControl RetainedTreatment RateControl Rate
A: High risk200 / 500190 / 50040%38%
B: Medium risk360 / 500300 / 50072%60%
C: Low risk465 / 500450 / 50093%90%

All values are hypothetical.

They are constructed to demonstrate the difference between baseline risk and incremental response.

They are not actual UAD Consulting client results.

Step 1: Calculate Baseline Churn Risk

The control group provides an estimate of what retention would look like without the intervention.

For Segment A:

Control retention = 38%.

Baseline churn = 100% - 38% = 62%.

For Segment B:

Control retention = 60%.

Baseline churn = 40%.

For Segment C:

Control retention = 90%.

Baseline churn = 10%.

The ranking is:

Highest churn risk: Segment A.

Medium churn risk: Segment B.

Lowest churn risk: Segment C.

A simple risk-based campaign would likely prioritize Segment A.

But now examine the experimental treatment effects.

Step 2: Calculate Incremental Retention Uplift

For each segment:

Estimated Retention Uplift = Treatment Retention Rate - Control Retention Rate.

Segment A:

40% - 38% = 2 percentage points.

Segment B:

72% - 60% = 12 percentage points.

Segment C:

93% - 90% = 3 percentage points.

The comparison becomes:

SegmentBaseline Churn RiskEstimated Retention Uplift
A: High risk62%+2 pp
B: Medium risk40%+12 pp
C: Low risk10%+3 pp

Here, pp means percentage points.

Segment A has the highest baseline churn risk.

Segment B has the highest estimated response to the retention offer.

This reverses the priority suggested by churn risk alone.

The experiment estimates average effects within the predefined segments.

It does not identify the exact individual customers whose outcomes were changed.

Nor does it guarantee that these estimates will reproduce in another campaign.

Step 3: Translate Uplift Into Incremental Retained Customers

Suppose management is deciding whether to offer the intervention to all 1,000 eligible customers in each segment during a future campaign.

For planning purposes, assume the experimental uplift estimates apply to that future eligible population.

Expected Incremental Retained Customers = Eligible Customers × Estimated Retention Uplift.

Segment A:

1,000 × 0.02 = 20.

Segment B:

1,000 × 0.12 = 120.

Segment C:

1,000 × 0.03 = 30.

These are modeled expected incremental retained customers if the estimated segment effects transport to the future campaign.

They are not counts of individuals whose causal outcomes were directly observed.

The estimates come from comparing randomized groups.

Step 4: Add Contribution Margin and Offer Cost

Incremental retention does not automatically imply profitable retention.

A company must consider the economic value of an additional retained customer and the cost of the intervention.

For this example, assume:

Contribution from one incremental retained customer over the specified evaluation horizon:

$120.

Fully loaded incremental cost of assigning and delivering the retention offer:

$8 per targeted customer.

Assume the $120 contribution is net of ordinary variable service costs but excludes the separate $8 campaign cost.

Also assume the $8 figure captures expected incentive, delivery, and administration costs for every targeted customer.

These assumptions are hypothetical.

Actual offer costs may depend on redemption, discount duration, usage, customer value, and other factors.

The simplified formula is:

Expected Net Incremental Contribution = (Incremental Retained Customers × Contribution per Incremental Retained Customer) - (Targeted Customers × Cost per Offer).

Segment A: High Churn Risk

Expected incremental retained customers:

20.

Incremental contribution:

20 × $120 = $2,400.

Campaign cost:

1,000 × $8 = $8,000.

Net incremental contribution:

$2,400 - $8,000 = -$5,600.

Segment B: Medium Churn Risk

Expected incremental retained customers:

120.

Incremental contribution:

120 × $120 = $14,400.

Campaign cost:

$8,000.

Net incremental contribution:

$14,400 - $8,000 = +$6,400.

Segment C: Low Churn Risk

Expected incremental retained customers:

30.

Incremental contribution:

30 × $120 = $3,600.

Campaign cost:

$8,000.

Net incremental contribution:

$3,600 - $8,000 = -$4,400.

The results are:

SegmentExpected Incremental RetainedOffer CostNet Contribution
A: High risk20$8,000-$5,600
B: Medium risk120$8,000+$6,400
C: Low risk30$8,000-$4,400

Under these simplified assumptions, Segment B is the only segment with positive expected net contribution.

The highest-risk group is not the best economic target.

What Happens If Management Targets Everyone?

Suppose the company offers the intervention to all 3,000 customers.

Expected incremental retained customers:

20 + 120 + 30 = 170.

Expected incremental contribution:

170 × $120 = $20,400.

Campaign cost:

3,000 × $8 = $24,000.

Net incremental contribution:

$20,400 - $24,000 = -$3,600.

Now compare three policies.

PolicyCustomers TargetedModeled Net Contribution
No retention campaign0$0
Target high-risk Segment A1,000-$5,600
Target medium-risk Segment B1,000+$6,400
Target all segments3,000-$3,600

Targeting everyone generates more incremental retained customers than targeting Segment B alone.

But it also costs more.

Under the assumed economics, targeting only Segment B produces the highest expected net contribution among the listed policies.

This is a decision-model result, not an observed business outcome or guaranteed return.

The Break-Even Uplift Threshold

A useful decision rule can be derived from the economics.

Assume:

Contribution per incremental retained customer = $120.

Cost per targeted customer = $8.

Let u represent the incremental probability of retention caused by the offer.

Expected net contribution per targeted customer is:

$120 × u - $8.

Break-even occurs when:

$120 × u - $8 = 0.

Therefore:

u = $8 / $120

= 0.0667.

The break-even uplift is approximately:

6.67 percentage points.

Under the assumptions of this example, an offer is expected to create positive net contribution when its incremental retention effect exceeds approximately 6.67 percentage points.

Segment A:

Estimated uplift = 2 pp.

Below break-even.

Segment B:

Estimated uplift = 12 pp.

Above break-even.

Segment C:

Estimated uplift = 3 pp.

Below break-even.

This is more useful than applying an arbitrary churn-risk cutoff.

However, the threshold depends on the contribution margin, intervention cost, and causal effectiveness assumptions.

If customer value or intervention costs vary, the break-even threshold should vary accordingly.

What If Customers Have Different Economic Values?

The previous example assumes every incremental retained customer generates $120 in contribution.

Real businesses rarely have identical customer economics.

Some customers have higher recurring revenue.

Others require expensive support.

Some have long expected remaining lifetimes.

Others are unlikely to remain beyond a short promotional period.

A more general targeting formula is:

Expected Incremental Net Value(x) = Estimated Treatment Effect(x) × Incremental Customer Contribution(x) - Expected Intervention Cost(x).

Here, x represents customer characteristics available before the targeting decision.

This formulation is still simplified.

It assumes the contribution estimate appropriately represents the value of changing the retention outcome and that intervention costs are not double-counted.

A more complete decision model can estimate expected economic outcomes under treatment and control directly.

For example:

Expected Incremental Profit(x) = E[Profit Under Treatment | x] - E[Profit Under Control | x].

This approach can account for changes in revenue, discounts, service costs, repeat purchases, and other financial consequences.

The relevant objective is not always maximizing the number of retained customers.

It may be maximizing expected incremental contribution subject to budget, capacity, customer experience, and other constraints.

How Certain Are the Uplift Estimates?

The segment results are estimates from finite samples.

They are not known treatment effects.

Consider Segment B.

Treatment retention:

360 / 500 = 72%.

Control retention:

300 / 500 = 60%.

Estimated uplift:

12 percentage points.

A simple large-sample standard error for the difference between two independent proportions is:

SE = sqrt( p1 × (1 - p1) / n1 + p0 × (1 - p0) / n0 ).

For Segment B:

p1 = 0.72.
p0 = 0.60.
n1 = 500.
n0 = 500.

Therefore:

SE = sqrt( 0.72 × 0.28 / 500 + 0.60 × 0.40 / 500 )

= approximately 0.02972.

A conventional approximate 95% Wald interval is:

0.12 ± 1.96 × 0.02972.

This gives approximately:

6.18 to 17.82 percentage points.

The estimated effect is positive, but its magnitude is uncertain.

The economic break-even threshold was approximately 6.67 percentage points.

That threshold lies within this approximate interval.

Therefore, even though the point estimate favors targeting Segment B, the available experiment does not remove uncertainty about whether the true effect exceeds the economic break-even point.

This interval is illustrative and unadjusted for multiple comparisons or data-driven segment selection.

It should not be treated as a definitive inferential result if the segments were chosen after inspecting the outcomes.

A production analysis should use an appropriate experimental design, uncertainty method, and prespecified evaluation plan.

Why a Randomized Holdout Is So Important

Suppose a business has historical campaign data.

It observes that customers receiving retention offers have a 75% retention rate.

Customers who did not receive offers have a 60% retention rate.

Can the business conclude that offers increase retention by 15 percentage points?

Not necessarily.

The groups may differ before the intervention.

Perhaps account managers selectively offered discounts to customers they believed were easiest to retain.

Perhaps the most valuable customers received personalized attention.

Perhaps customers with specific complaints were more likely to receive an offer.

These differences can create selection bias.

A predictive model trained on historical observational data may learn which customers were selected for treatment rather than which customers benefited from treatment.

Random assignment helps address this problem by creating comparable treatment and control groups in expectation.

The company should retain a genuine control group during evaluation.

It should also preserve the original assignment indicator, not merely whether a customer opened an email or redeemed a discount.

Analyzing only customers who redeemed an offer can introduce selection bias because redemption occurs after assignment and may be related to customer motivation.

For many business decisions, the intention-to-treat effect of assigning the offer is the most relevant initial policy estimate.

From Segment-Level Uplift to Uplift Modeling

The three-segment example estimates average effects within predefined groups.

An uplift model extends this idea by estimating how treatment effects vary with customer characteristics.

In causal inference, this is often called the Conditional Average Treatment Effect, or CATE.

A simplified expression is:

CATE(x) = E[Y(1) - Y(0) | X = x].

Here:

Y(1) represents the potential retention outcome under treatment.

Y(0) represents the potential outcome under control.

X represents customer characteristics measured before treatment.

The goal is to estimate which types of customers are likely to experience larger incremental benefits.

Potential predictors might include:

  • Subscription tenure.
  • Plan type.
  • Historical usage.
  • Previous support interactions.
  • Billing frequency.
  • Product engagement.
  • Prior renewal behavior.
  • Customer contribution margin.

These variables must be available before the intervention decision.

Features that are created after treatment assignment may introduce post-treatment bias or data leakage.

S-Learner

An S-learner fits one outcome model using customer features and treatment assignment.

The analyst then estimates the treatment effect by comparing model predictions under treatment and control for the same customer features.

This approach can be convenient, but a model may underrepresent treatment effects when the treatment signal is weak relative to other predictors.

T-Learner

A T-learner fits separate outcome models for treated and control observations.

The estimated treatment effect is the difference between their predicted outcomes.

This can capture different response relationships, but it may require sufficient data in both groups.

X-Learner and Other Methods

More advanced approaches include X-learners, doubly robust learners, and causal forests.

These methods address different statistical challenges.

Künzel and colleagues describe S-, T-, and X-learners in their research on heterogeneous treatment-effect estimation.

Wager and Athey develop a causal-forest framework for heterogeneous treatment-effect estimation and inference under stated assumptions.

No single algorithm is universally superior.

The appropriate method depends on sample size, treatment assignment, outcome frequency, effect heterogeneity, feature quality, and the decision context.

For a small company with limited experimental data, transparent segment-level analysis may be more defensible than a complex uplift model.

How Should an Uplift Model Be Evaluated?

A churn model can be evaluated using classification or probability metrics such as ROC AUC, log loss, or calibration.

But those metrics do not directly establish whether the model correctly ranks customers by treatment effect.

The true individual treatment effect is unobservable.

That makes uplift-model evaluation different from ordinary supervised learning.

A practical evaluation should include:

1. An Independent Randomized Evaluation Sample

Do not evaluate the final targeting policy only on the same data used to fit the uplift model and choose its thresholds.

Reserve an appropriate evaluation sample or conduct a new randomized policy test.

2. Uplift by Predicted-Rank Group

Rank eligible customers by predicted uplift.

Within predefined score bands, compare randomized treatment and control outcome rates.

This helps assess whether higher predicted uplift corresponds to higher estimated incremental response.

3. Cumulative Gain and Qini Curves

Cumulative uplift and Qini-style curves summarize how estimated incremental outcomes accumulate as progressively more customers are targeted.

Their definitions and normalization conventions vary by implementation.

They require careful handling of treatment and control allocation, especially when assignment probabilities are unequal.

CausalML provides documentation for uplift and Qini evaluation metrics.

4. Economic Policy Value

Translate incremental outcomes into contribution margin and intervention costs.

A model that identifies more incremental retained customers may still produce lower profit if it targets expensive or low-value customers.

5. Uncertainty and Stability

Evaluate uncertainty in treatment effects and policy value.

Monitor whether the treatment response changes over time.

A policy trained on one promotional offer may not generalize to a different discount, product, customer population, or economic environment.

A Practical Retention Experiment Design

A business does not need to begin with a sophisticated machine learning model.

A disciplined experiment can provide a useful foundation.

Step 1: Define the Intervention

Specify exactly what the treatment includes.

For example:

An email offering one month at a reduced subscription price.

Define when it is sent, who is eligible, and what the offer costs.

Step 2: Define the Outcome

Specify the retention outcome and measurement window.

For example:

Active paid subscription 90 days after random assignment.

Avoid changing the outcome definition after reviewing results.

Step 3: Define Eligible Customers

Use information available before randomization.

Exclude customers who cannot legally or operationally receive the intervention.

Document eligibility rules.

Step 4: Randomize Assignment

Assign eligible customers to treatment and control groups.

If important risk groups exist, consider stratified randomization.

Check assignment integrity and outcome completeness.

Step 5: Preserve the Holdout

Avoid exposing control customers to the same intervention through another campaign.

If spillovers or overlapping campaigns cannot be avoided, document them and consider a design that addresses interference.

Step 6: Estimate Incremental Effects

Calculate treatment-control differences overall and within prespecified segments.

Report uncertainty.

Avoid claiming that every subgroup difference is meaningful.

Step 7: Evaluate Economics

Combine estimated incremental effects with relevant contribution margin and intervention costs.

Assess sensitivity to uncertain economic assumptions.

Step 8: Validate the Targeting Policy

Before scaling, compare the proposed uplift-based policy with a credible alternative.

Possible alternatives include:

  • No campaign.
  • Offer everyone.
  • Target highest churn risk.
  • Target highest estimated uplift.
  • Target highest expected incremental profit.

A randomized policy-level evaluation can provide stronger evidence about the value of the chosen strategy.

Why a Better Retention Model May Not Improve Retention

Suppose a company deploys an uplift model.

Three months later, customer retention increases.

Does that prove the uplift model caused the improvement?

No.

Pricing may have changed.

Product quality may have improved.

Competitors may have raised prices.

The customer mix may have shifted.

Seasonality may have affected renewal behavior.

A model deployment and an outcome improvement occurring together do not establish causality.

The company needs a credible comparison to estimate incremental impact.

It should also distinguish between two separate claims:

The model predicts treatment effects accurately enough to rank customers.

The targeting policy actually improves business outcomes compared with an alternative policy.

The first is a modeling question.

The second is a causal business-evaluation question.

For a related discussion about operational decision thresholds, see Why Can a Lower-Accuracy Classification Threshold Save More Money?.

When Is Uplift Modeling Worth the Complexity?

Not every retention program requires machine learning.

A simple randomized experiment may be sufficient when:

  • The eligible population is small.
  • There is one intervention.
  • Customer differences are limited.
  • The average treatment effect is relatively uniform.
  • Data quality is poor.
  • The cost of sophisticated modeling exceeds its likely value.

More advanced uplift modeling may become useful when:

  • The business has a large eligible customer base.
  • Retention interventions are costly.
  • Treatment effects differ meaningfully across customers.
  • Reliable randomized data is available.
  • Customer-level economic value varies.
  • Targeting capacity or budget is limited.
  • The policy can be evaluated and monitored over time.

Even then, the model should be judged by incremental decision value rather than algorithmic sophistication.

What Should a Retention Dashboard Show?

A decision-focused retention dashboard should not stop at churn predictions.

It should connect five analytical layers.

LayerExample MetricDecision Question
RiskPredicted churn probabilityWho may leave?
Causal responseEstimated retention upliftWho may respond to the offer?
EconomicsIncremental net contributionIs intervention worthwhile?
CapacityTargetable customers and budgetCan the policy be executed?
ValidationRandomized policy liftDid the policy improve outcomes?

The dashboard should also distinguish observed experimental estimates from model predictions.

Uncertainty should be visible.

If a treatment effect is estimated from a small sample, the dashboard should not present it as an exact individual probability.

If a financial projection depends on assumed customer value, that assumption should be documented.

This makes the system useful for decision-making rather than merely visually impressive.

Frequently Asked Questions

Is uplift modeling the same as churn prediction?

No.

Churn prediction estimates the probability of leaving.

Uplift modeling estimates how an intervention changes an outcome under appropriate causal assumptions.

A customer can have high churn risk and low treatment responsiveness.

Can a churn model be converted directly into an uplift model?

Not reliably by simply changing the classification threshold.

Estimating uplift requires information about treatment assignment, outcomes under comparable treatment conditions, and an appropriate causal identification strategy.

A churn score may be a useful predictor in an uplift model, but it is not itself an estimate of treatment effect.

Do I need randomized data?

Randomized data is especially valuable.

Observational methods can estimate treatment effects under stronger assumptions, including adequate confounder measurement, overlap, and correct identification of the treatment-outcome relationship.

Those assumptions should not be taken for granted.

Does a positive uplift guarantee a profitable offer?

No.

An offer can increase retention while costing more than the incremental contribution it generates.

The economic decision depends on incremental effect, customer value, intervention cost, and uncertainty.

Should every high-uplift customer receive an offer?

Not necessarily.

Budget limits, customer experience, fairness, contractual rules, and operational constraints may affect targeting.

A business should evaluate expected incremental net value and feasible alternatives.

The Bottom Line: Target Customers Whose Decisions You Can Change

Return to the hypothetical subscription company.

Segment A had the highest baseline churn risk:

62%.

But its estimated retention uplift was only:

2 percentage points.

Targeting the entire segment produced an expected net contribution of:

-$5,600.

Segment B had a lower baseline churn risk:

40%.

But its estimated retention uplift was:

12 percentage points.

Targeting that segment produced an expected net contribution of:

+$6,400.

The lesson is not that medium-risk customers are always better targets.

It is that baseline risk and treatment responsiveness are different quantities.

A predictive model can identify customers likely to leave.

A causal evaluation can estimate whether an intervention changes retention.

An economic decision model can determine whether the expected incremental benefit justifies the cost.

The strongest retention strategy connects all three.

Instead of asking only:

"Who is most likely to leave?"

Ask:

"Whose outcome can we credibly change, and is the expected change worth the cost?"

That is where customer analytics becomes decision analytics.

References and Methodological Notes

  1. Künzel, S. R., Sekhon, J. S., Bickel, P. J., and Yu, B. (2019). Metalearners for Estimating Heterogeneous Treatment Effects Using Machine Learning. Proceedings of the National Academy of Sciences, 116(10), 4156–4165. https://doi.org/10.1073/pnas.1804597116

  2. Wager, S., and Athey, S. (2018). Estimation and Inference of Heterogeneous Treatment Effects Using Random Forests. Journal of the American Statistical Association, 113(523), 1228–1242. https://doi.org/10.1080/01621459.2017.1319839

  3. Athey, S., and Imbens, G. (2016). Recursive Partitioning for Heterogeneous Causal Effects. Proceedings of the National Academy of Sciences, 113(27), 7353–7360. https://doi.org/10.1073/pnas.1510489113

  4. CausalML Documentation. Uplift Modeling Evaluation and Qini Metrics. https://causalml.readthedocs.io/en/stable/causalml.html

Methodological Note

All customer counts, retention rates, financial values, and experimental results are hypothetical.

They are original teaching illustrations, not empirical estimates of actual UAD Consulting client outcomes.

The example assumes randomized assignment within three prespecified customer segments, consistent 90-day retention measurement, complete outcomes, no material interference, and comparable treatment implementation.

Segment uplift estimates are differences between randomized treatment and control retention rates.

Projected incremental retained-customer counts assume these estimates transport to a future eligible population of the same segment composition.

Financial projections assume $120 incremental customer contribution and $8 intervention cost per targeted customer over a consistent evaluation horizon.

The approximate confidence interval uses a conventional unadjusted large-sample Wald calculation.

Real retention decisions require validated experimental data, appropriate uncertainty analysis, credible economic assumptions, and policy-level evaluation.

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