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EWMA vs Rolling Average ACWR: Which Should Coaches Use?

EWMA vs rolling average ACWR, explained for coaches: why the two methods disagree, when EWMA catches a load spike the rolling average misses, and which to trust.

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Fractall training load tab showing ACWR alongside monotony, daily load, and strain.

Quick answer

Same ratio, different weighting

Both methods calculate the acute:chronic workload ratio. They differ only in how they weight recent sessions against older ones.

The short version

EWMA vs rolling average ACWR comes down to weighting. A rolling average treats every day in the window equally. EWMA (exponentially weighted moving average) gives recent sessions more weight and lets older ones fade. In a two-season study of elite footballers, the EWMA version was more sensitive at detecting the raised injury likelihood that follows a load spike (Murray et al., 2017). Use EWMA if your tool computes it; the rolling average is fine when load is stable.
If your load stays flat week to week, the two methods land in almost the same place and the choice barely matters. The gap shows up around spikes, drop-offs, and return-to-play, which is exactly when you most want the ratio to be honest. This guide is about that gap: what causes it, when it matters, and which method to trust. If you are still new to the ratio itself, start with our guide to using ACWR in football and come back here for the method choice.

The difference

What is the difference between EWMA and a rolling average?

Both take training load over an acute and a chronic window and divide one by the other. The only thing that changes is the weight each session carries.

Rolling average ACWR

Averages load across the window with equal weight on every day, then divides the acute average by the chronic average. Simple, and the version most spreadsheets use.

Example: A session 27 days ago counts exactly as much toward chronic load as yesterday's session.

EWMA ACWR

Applies an exponential decay so the most recent sessions carry the most weight and older ones fade gradually rather than dropping out abruptly.

Example: Yesterday's session counts for much more than a session three weeks ago, which better matches how fitness and fatigue actually decay.

Both methods run on whatever load input you already collect. If you track internal load through session RPE, EWMA and the rolling average work on the same numbers. EWMA is a weighting choice, not a data source, so you do not need GPS to use it.
The EWMA approach for ACWR was proposed by Williams and colleagues (2017). The load carried into either calculation is commonly session RPE multiplied by session duration in minutes (Foster, 1998).

Why they disagree

Why a rolling average can miss a spike

A rolling average has two blind spots: it reacts slowly to a real jump, and it lurches when a big session drops out of the window.

Because a rolling average weights every day the same, a hard match or a heavy session keeps counting at full strength right up to the day it leaves the window, then vanishes overnight. That creates an artificial cliff in chronic load and a matching jump in the ratio that has nothing to do with what the athlete actually did this week. EWMA smooths that out: recent sessions dominate, and older ones taper off instead of falling off a ledge.

The practical read

When load is climbing, a rolling average tends to lag and can understate the spike. EWMA moves sooner, so a genuine ramp shows up in the ratio earlier, when you can still act on it.
Session ageRolling average weightEWMA weight (approx.)
Yesterday~3.6%~6.9%
1 week ago~3.6%~4.2%
2 weeks ago~3.6%~2.5%
3 weeks ago~3.6%~1.5%
4 weeks ago~3.6%~1.0%
Illustrative weights for a 28-day chronic window. A rolling average gives every day an equal 1/28 (~3.6%) share. EWMA weights decay by a smoothing factor (about 0.069 for a 28-day window in the Williams et al., 2017 formula), so the most recent day counts for roughly twice as much as it would under a rolling average, and month-old sessions barely register.

Which to use

Which method should coaches use?

Match the method to the situation. When load is steady the two agree; the difference matters most exactly when your athletes are least predictable.

SituationRolling averageEWMA
Load is stable week to weekFine, close to the EWMA valueSimilar result, little practical gain
A sharp load spike this weekReacts slowly, can understate the jumpReacts faster, flags the spike sooner
A big session leaves the windowSudden cliff in chronic loadFades gradually, fewer artefacts
Athlete returning from a lay-offCan misjudge the rebuild paceMore responsive to the ramp back up

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Elite footballers studied

Murray et al. (2017) compared both methods over two seasons of load and injury data.

EWMA

More sensitive method

Explained more of the variation in injury likelihood than the rolling average at high ratios.

The evidence leans toward EWMA where it matters. In an elite Australian football cohort, EWMA-based ACWR was more sensitive than the rolling average at detecting the higher injury likelihood that accompanies large load spikes. That does not make the rolling average useless. If you are building the habit by hand and your week-to-week load is steady, a rolling average is a reasonable start. If a tool computes EWMA for you at no extra effort, prefer it.
Murray NB, Gabbett TJ, Townshend AD, Blanch P (2017). Calculating acute:chronic workload ratios using exponentially weighted moving averages provides a more sensitive indicator of injury likelihood than rolling averages. Br J Sports Med 51(9):749–754.

What EWMA doesn't fix

EWMA is more sensitive, not a cure for ACWR's flaws

Switching the weighting method improves one thing. It does not answer the deeper criticisms of the ratio, and it is worth being honest about that.

The acute window sits inside the chronic window, so the two share data. Lolli and colleagues (2017) showed this mathematical coupling can produce a spurious correlation that is present in both the rolling-average and EWMA versions. Impellizzeri and colleagues (2020) went further and questioned whether the ratio supports injury-prevention decisions at all. Choosing EWMA does not remove these issues.

How to hold it

Treat either method as a warning light, not a verdict. A rising ratio is a prompt to look at wellness, soreness, minutes, and context, then decide. It is not a prediction, and no weighting method turns it into one.

Fractall workflow

Let the dashboard handle the method

The reason most coaches stay on a rolling average is that EWMA is fiddly to maintain in a spreadsheet. When the tool computes it, that reason disappears.

Fractall training load dashboard showing ACWR trend and athlete workload summaries.
Fractall calculates ACWR from session-RPE data, including the exponentially weighted moving average, so the method choice in this article is not extra spreadsheet work for you.

1. Load trend over time

Read the ratio against recent history to see whether this week is a genuine jump or just window noise.

2. Athlete-level detail

Move from the squad view to the individual players whose ratio is climbing.

3. Context beside the number

Wellness, pain, and minutes sit next to the ratio so one metric is never read alone.

Fractall training load chart tracking weekly load and ratio trend for a squad.
Tracking the trend, not a single week, is what keeps either ACWR method trustworthy.

A weekly ACWR rhythm without the maths

1

Athletes submit session RPE; the load input builds itself.

2

The dashboard computes the ratio, including the EWMA method, and plots the trend.

3

You scan for spikes and drops, then check wellness and context before acting.

See ACWR calculated for you

Fractall collects session RPE and computes the acute:chronic workload ratio, so you read the signal instead of maintaining the formula.

Explore the ACWR dashboard

FAQs

EWMA vs rolling average ACWR: common questions

Short, practical answers to the questions coaches ask when choosing a method.

Is EWMA better than a rolling average for ACWR?

It is more sensitive to recent load spikes, and in one elite-football study (Murray et al., 2017) it detected raised injury likelihood the rolling average understated.

Example: When week-to-week load is stable, the two methods agree closely and the advantage is small.

What does EWMA stand for?

Exponentially weighted moving average. It averages training load but gives the most recent sessions more weight, so older sessions fade instead of dropping out abruptly.

Example: That decay is why EWMA reacts to a spike sooner than a flat rolling average.

Do I have to calculate EWMA by hand?

No. The decay maths is awkward in a spreadsheet, but a monitoring tool computes it from your session-RPE inputs.

Example: Fractall's ACWR dashboard runs the calculation so the method choice costs you no extra work.

Can I use EWMA without GPS?

Yes. EWMA is a weighting method, not a data source, so it works on internal load from session RPE.

Example: Small and medium clubs can use EWMA with nothing more than consistent RPE collection.

Does EWMA prevent injuries?

No. It is more sensitive to load spikes than a rolling average, but ACWR of any kind is a signal to review, not a predictor.

Example: Read it alongside wellness, soreness, minutes, and history before making a call.

Put ACWR to work without the spreadsheet

Fractall collects session RPE, computes the acute:chronic workload ratio, and shows load beside wellness and pain so you decide with context.

See how Fractall calculates ACWR

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