Bell Statistics

What is iROAS?

iROAS is revenue that advertising actually caused, divided by the spend that caused it. It differs from reported ROAS by excluding conversions that would have happened anyway, which on lower-funnel channels is most of them.

Notation
iROAS
Also called
incremental return on ad spend, incremental ROAS, true ROAS
Allon Korem

Written by Allon Korem

Chief Executive Officer

Last updated

In plain English

Reported ROAS divides the revenue a platform attributes to itself by what you spent. iROAS divides the revenue that would not have existed without the advertising by the same spend. The difference is incrementality, and on lower-funnel channels it is usually the majority of the reported figure — a platform counts every conversion that touched its ad, including the customers who were already coming.

The gap is widest exactly where reported ROAS looks best. Branded search, retargeting and remarketing all reach people who have already demonstrated intent, so a high proportion of their attributed conversions would have occurred regardless. Published experiments have repeatedly found near-zero incremental return on branded search while attribution reported figures many times higher, which is why a channel's apparent efficiency is a poor guide to whether it is worth funding.

It cannot be computed from attribution data at all, and this is the point most worth understanding. Attribution allocates credit among touchpoints that appear in observed conversion paths; it has no view of what would have happened without them. Establishing incrementality requires withholding the advertising from someone — a geo experiment, a conversion lift study, or ghost ads — or a model calibrated against one of those.

The number that matters for budget decisions is the marginal iROAS rather than the average, and the two are routinely conflated. Average iROAS tells you what the whole spend returned. Marginal iROAS tells you what the next pound returns, which because of diminishing returns is always lower. A channel averaging 4.0 can have a marginal return below 1.0 at current levels, meaning it is profitable overall and unprofitable to increase — a distinction that decides whether to scale or hold.

Two practical cautions on reporting it. An iROAS estimate comes from an experiment with a confidence interval, and geo tests produce wide ones, so a point estimate quoted without its range overstates what is known. And it is measured over a window: a campaign that pulls purchases forward looks incremental during the test and nets out over the quarter, which is what the cooldown period in a geo test exists to catch.

The formula

One ratio, and the two distinctions — reported versus incremental, average versus marginal — that account for most misreadings.

The metric
iROAS = incremental revenue / ad spend

Incremental means revenue that would not have occurred without the advertising, established experimentally.

Against reported ROAS
reported ROAS = attributed revenue / spend

Attributed includes conversions that would have happened anyway. The two can differ by a factor of three or more.

Marginal, not average
marginal iROAS = d(incremental revenue) / d(spend)

What the next pound buys, always below the average — see diminishing returns.

The break-even test
scale while marginal iROAS > 1 / gross margin

Not while it exceeds 1 — the comparison is against margin, not revenue.

Worked example

An advertiser measures three channels with geo experiments and compares the results against what the platforms reported. Gross margin is 38%, so break-even marginal iROAS is 2.63.

Branded search: reported ROAS
11.4
Branded search: measured iROAS
0.9, 95% CI 0.2 to 1.6
Prospecting social: reported ROAS
2.1
Prospecting social: measured iROAS
3.4, 95% CI 1.9 to 4.9
Retargeting: reported ROAS
8.7
Retargeting: measured iROAS
1.6, 95% CI 0.8 to 2.4

The channel with the best reported ROAS has the worst incremental return, and the one that looked weakest is the only one clearly above break-even.

The ranking inverts completely, which is the ordinary result rather than a dramatic one. Branded search reports 11.4 and delivers 0.9 — it is capturing customers who were already searching for the brand, and the attribution system faithfully credits every one. Prospecting social reports 2.1 and delivers 3.4, because it reaches people who had not yet decided and much of its contribution never shows up in a last-touch path. Against a 2.63 break-even, only prospecting social is clearly worth scaling. Two cautions before acting. The intervals are wide — branded search could plausibly be anywhere from 0.2 to 1.6 — which is honest for geo measurement and means these are directional rather than precise. And these are average iROAS figures from a specific spend level; the marginal return on increasing social is lower than 3.4, so the scaling decision needs a [scale-up test](/glossary/scale-up-vs-scale-down-test) rather than an extrapolation.

Common misconceptions

A high reported ROAS means the channel is working well.
It means the platform attributed a lot of revenue to itself, which is loudest for channels reaching people who had already decided. Branded search and retargeting reliably produce the best reported figures and among the worst incremental ones. Reported ROAS is a measure of attribution, not of causation.
You can calculate iROAS from your attribution data.
Attribution allocates credit among observed touchpoints and has no view of the counterfactual. No allocation rule over conversion paths can distinguish a conversion the advertising caused from one it merely touched. Establishing incrementality requires withholding the advertising from somebody, or a model calibrated against an experiment that did.
An iROAS above 1 means the channel is profitable.
It means incremental revenue exceeds spend, which is not the same as profit — the comparison has to be against gross margin. At 38% margin, break-even is an iROAS of 2.63, so a channel returning 1.6 is destroying value while looking superficially positive.

Frequently asked questions

How do I measure iROAS?
With an experiment that withholds the advertising from someone. A geo test switching a channel off in matched markets is the general-purpose option; a platform conversion lift study or ghost ads works within a single platform. Then divide the measured incremental revenue by the spend in the treated markets. Attribution data cannot produce this number no matter how it is modelled.
Should I use average or marginal iROAS?
Marginal for any decision about changing spend, average for evaluating whether the channel earns its place at all. Because of diminishing returns the marginal figure is always lower, sometimes dramatically — a channel averaging 4.0 can return under 1.0 on the next pound. Scaling decisions made on the average systematically overspend, and a scale-up test is what measures the marginal figure directly.
What iROAS do I need to break even?
One divided by your gross margin, not 1.0. At 38% margin the break-even is 2.63, because each pound of incremental revenue contributes 38 pence towards the ad spend. Using 1.0 as the threshold is a common and expensive error that keeps channels running well below profitability while appearing to clear the bar.

Related terms

  • Budget scaling

    How much to move, and what the next pound buys — which is never what the last pound averaged.

  • Conversion lift study

    A real randomised holdout, run by the platform being measured — genuine evidence with a conflict of interest attached.

  • Ghost ads

    Log the ad you would have shown instead of showing it — exposure-matched control, and no wasted spend.

  • Incremental CPA

    Cost per conversion you actually caused — the number bids should be set against, and rarely are.

Calculate it

  • Correlation test

    Pearson r or Spearman rho, with the Fisher-z interval that says how little a small sample knows.

  • Paired t-test

    Before-and-after or matched pairs — size the study on the difference SD, then test it.

Knowing the term is the easy part

Applying it to a live measurement problem is the part that goes wrong. If you are designing an experiment, reading a result you do not trust, or trying to work out what your marketing actually caused, that is the work we do.