Description
Return scale / (1 + (halfSaturation / spend)^exponent) for positive spend, halfSaturation, and exponent, with nonnegative scale.
Lift compares an observed outcome with a reference, while a response curve describes an assumed relationship. Neither arithmetic difference alone establishes causal impact.
Return scale / (1 + (halfSaturation / spend)^exponent) for positive spend, halfSaturation, and exponent, with nonnegative scale.
When to use this tool
Use Marketing Mix One Channel Response Term when you need a supplied uplift or response-curve term.
How to use the tool and how it works
- Enter spend, scale, halfSaturation, exponent. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read response. Use the output convention below.
Return scale / (1 + (halfSaturation / spend)^exponent) for positive spend, halfSaturation, and exponent, with nonnegative scale.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| spend | Spend | Required. Finite number; strictly above 0. |
| scale | Scale | Required. Finite number; minimum 0. |
| halfSaturation | Half Saturation | Required. Finite number; strictly above 0. |
| exponent | Exponent | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| response | Response | Required. Finite number. |
{
"input": {
"spend": 100,
"scale": 1000,
"halfSaturation": 100,
"exponent": 2
},
"output": {
"response": 500
}
}Limitations and assumptions
- This is a supplied one-channel saturation curve without fitted parameters, adstock, interaction, causal identification, or uncertainty.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a suitable experimental or observational design and report uncertainty and model assumptions with impact estimates.
References
Similar or alternative tools
- Promotion Uplift Baseline Season Factor
Multiply positive baseline by positive seasonalFactor for adjustedBaseline.
- Campaign Net Lift Contribution
Multiply treatmentRate - controlRate by exposedCount for incrementalCount, then multiply by unitMargin for marginContribution.