Regression Discontinuity Design (RDD): Discovering Optimal Pricing and Ad Spend Thresholds

Jan 4, 2025

In marketing practice, we often face various threshold decisions:

  • Price Threshold: What's the best price?
  • Promotion Threshold: What's the best discount threshold?
  • Ad Spend Threshold: How much spend achieves optimal ROI?

Today we'll introduce Regression Discontinuity Design (RDD), a method that can scientifically answer these questions.

What is Regression Discontinuity Design?

The core idea of RDD is: Use changes around a threshold to identify causal effects.

Simple Understanding

An e-commerce platform runs a "Spend $200, Get $30 Off" promotion. Users who spent exactly $200 and $201 received very different benefits — only $1 difference in actual payment.

RDD uses this comparison between "just passed" and "just failed" the threshold to estimate the true effect of the promotion.

Two Types of RDD

1. Sharp RDD

At the threshold, the probability of receiving treatment jumps from 0% to 100%.

2. Fuzzy RDD

At the threshold, the probability of receiving treatment changes significantly, but not necessarily from 0% to 100%.

Marketing Application Scenarios

Scenario 1: Optimal Pricing

Case: Online Course Pricing Analysis

Through RDD analysis:

  • Conversion rate drops 15% when price increases from $99 to $100
  • Conversion rate drops 8% when price increases from $199 to $200
  • Optimal Price: $199

Scenario 2: Discount Campaign Threshold

Case: E-commerce Platform Discount Analysis

  • The critical threshold is around $100
  • Below $100, user purchase intent drops significantly
  • Optimal Threshold: $100

Scenario 3: Ad Spend Threshold

Case: Brand Ad Spend Analysis

Through RDD found:

  • Monthly budget of $200K: ROI 2.8 (critical point)
  • Optimal Budget: $200K/month

Practical Steps

  1. Define treatment variable and threshold
  2. Collect data
  3. Choose bandwidth
  4. Estimate effect
  5. Robustness checks

Conclusion

Regression Discontinuity Design (RDD) is a powerful tool for discovering optimal marketing strategies:

  1. Discover Key Thresholds: Optimal values for price, budget, thresholds
  2. Quantify Marginal Effects: Effect differences around critical points
  3. Optimize Marketing Decisions: Based on data, not intuition

Master RDD for more refined marketing strategies.


Next: We'll cover Event Study to help evaluate the impact of brand activities on the market. Stay tuned!

ScholarForce

ScholarForce