Replication Analysis
Income and emotional well-being: Evidence for well-being plateauing around $200,000 per year
Mikkel Bennedsen — 33391 observations
Summary
Step 1: Finding the Optimal Threshold
The sum of squared residuals (SSR) is computed for each candidate income threshold. The threshold that minimizes SSR gives the best-fitting structural break point.
Step 2: OLS Regression Comparison
Piecewise linear model: E(zi|xi) = (a + b·x) below threshold, (c + d·x) above threshold. The z-scored well-being is the dependent variable; log-income is the independent variable.
| $100,000 Threshold | $175,000 Threshold | |||
|---|---|---|---|---|
| Regime | Slope | SE | Slope | SE |
| Below threshold | 0.1121 | 0.0133 | 0.1108 | 0.0088 |
| Above threshold | 0.1088 | 0.0205 | -0.0015 | 0.0541 |
| SSR | 33137.90 | 33132.75 | ||
$100,000 Threshold
$175,000 Threshold (Data-driven)
Step 3: Quantile Regression Comparison
Quantile regression examines different parts of the well-being distribution. t-statistics above ~2 indicate statistical significance.
$100,000 Threshold
| Quantile | Slope below | t | Slope above | t |
|---|---|---|---|---|
| 15% | 1.900 | 8.13 | 0.335 | 0.92 |
| 30% | 1.329 | 6.86 | 1.228 | 4.10 |
| 50% | 1.237 | 6.46 | 1.459 | 4.94 |
| 70% | 1.178 | 5.32 | 1.907 | 5.60 |
| 85% | 0.791 | 2.96 | 1.983 | 4.87 |
$175,000 Threshold
| Quantile | Slope below | t | Slope above | t |
|---|---|---|---|---|
| 15% | 1.826 | 11.67 | -0.036 | -0.04 |
| 30% | 1.344 | 10.45 | 0.381 | 0.48 |
| 50% | 1.233 | 9.73 | 0.147 | 0.19 |
| 70% | 1.153 | 7.89 | 0.547 | 0.61 |
| 85% | 1.003 | 5.62 | -0.354 | -0.32 |
Quantile Regression: $100k Threshold
Quantile Regression: $175,000 Threshold
Conclusion
The replication confirms the paper's central finding: the conclusion that emotional well-being increases monotonically with income (KKM2023) is sensitive to the placement of the income threshold. When the threshold is chosen in a data-driven way (minimizing SSR), it shifts from $100,000 to $175,000, and the relationship above that threshold becomes flat — both in the OLS analysis and across all quantiles of the well-being distribution.