Table 2From “The incrementality illusion”
Planning the sample size for causal advertising lift
The required sample grows as expected lift shrinks relative to baseline volatility, but the exact calculation depends on the design inputs.
Table 2Planning the sample size for causal advertising lift
| Expected relative lift | Planning implication | Inputs required before calculating |
|---|---|---|
| Larger | Required N can be lower, all else equal | Baseline outcome, variance, allocation, power, alpha, clustering and spillover |
| Moderate | Required N can be substantially larger | The same inputs, plus a decision-relevant minimum effect |
| Very small | The design may become impractical | A pre-specified precision target, opportunity-cost limit and stopping rule |
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Source: Author's planning worksheet based on Lewis & Rao (2015), Quarterly Journal of Economics 130(4). No single set of outcome or design inputs is assumed here.

From the essay
Growth that compounds
The incrementality illusion
Why attribution dashboards can report phantom returns while holdout tests find little or no lift, and how to size causal measurement.
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