statistics

composite analysis

A statistical method that averages data over multiple occurrences of a specific event to isolate its common signal from background variability.
12 related articles

Description

Composite analysis is a way to find a clear pattern hidden in noisy data by lining up many separate instances of the same kind of event and averaging them. For example, if you want to know what the weather typically does after a volcanic eruption, you take all the eruptions on record, align them at the moment of eruption, and average the temperature readings for each day before and after. Random fluctuations—like a stray heat wave or a passing storm—tend to cancel out in the average, while any consistent response to the eruption stands out clearly.

History

The technique has roots in early 20th-century meteorology, where it was used to study the effects of phenomena like solar flares on weather, but its formalization as a standard tool in climate science came later.

How it works

The method works by selecting a set of time windows, each centered on an occurrence of the event of interest. For each time offset relative to the event, you compute the mean of the variable across all windows. The result is a single averaged curve that represents the typical evolution around the event. Statistical tests, such as comparing the average to the variability across windows, help decide whether the apparent signal is real or just noise.

In practice

It is widely used in climate research to isolate the impacts of events like El Niño, volcanic eruptions, or sudden stratospheric warmings from the background of natural variability.

Fun fact

Composite analysis is sometimes called 'superposed epoch analysis,' a name that reflects its use in astronomy to study the effects of solar storms on cosmic ray counts.

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Related articles · 12

q-bio.PE2026-08-141 minarXiv:2608.13995express
Epidemics Breathe in Tandem
Every winter, hospitals fill up, and by summer they seem to empty. Epidemics breathe like the tide. But why do waves of disease keep rolling in, even without new mutations? Mathematicians found an answer in a tug-of-war between two strains. Within a single epidemic, two virus variants often coexist.
Signal Processing2026-07-161 minarXiv:2607.14738express
The Complexity of Crowds: Why Averages Fail
Usually, the complexity of systems, from satellite motions to heart rhythms, is assessed with averaged entropy (a measure of unpredictability, as understood by Boltzmann). But that's like evaluating the ocean only by wave height: the average figure hides the full richness of underwater currents.
Image Processing2026-07-161 minarXiv:2607.15073express
World in Flickers: How a Camera Assembles an Image from Flashes
Unlike regular cameras, event-based ones only record moments when light becomes brighter or dimmer. They don't produce snapshots; instead, they send an endless stream of such flashes. Scientists turned this stream into a sharp picture of the Earth while flying over it on a satellite. Each flash is like a piece of a mosaic; together they form a still image.
Cosmology2026-06-303 minarXiv:2606.31988
JADE: The AI Detective That Reads the Cosmic Web in Light Trails
Light from distant galaxies travels to us for billions of years, but along the way it gets bent and twisted by the invisible web of dark matter. This effect, predicted by Albert Einstein within general relativity, is called gravitational lensing.
HEP Experiment2026-06-082 minarXiv:2606.09714express
Neutrinos from around the world pieced into one picture
Neutrinos are often compared to a radio broadcast picked up by different receivers. One station sends a signal, but antennas in Japan, Antarctica, and at the bottom of the Mediterranean Sea hear it differently — due to distance, interference, and antenna orientation.
Fingerprints of Chaos: How Trajectory Geometry Reveals the Moment of a Regime Shift
The heart beats steadily, then slips into arrhythmia. The climate holds its familiar rhythm for decades, then shifts to a new state over a single summer. Such regime shifts are like a flick of a switch, but in real data we see only a noisy one-dimensional signal in which the moment of the break is hidden.
Medical Physics2026-03-011 minarXiv:2603.01130express
Radiation Therapy with a Forecast: Predicting the Dose
During a course of radiation therapy, the tumor and surrounding tissues can shift or change size. Doctors regularly take images and sometimes adjust the plan to keep the radiation on target. But how do you know how much dose has already been delivered and how much is still to come? Usually, this is estimated using simple rules that don't account for uncertainty.
q-bio.PE2026-02-082 minarXiv:2602.08101express
A Virus Hits Like a Punch: Why Outbreaks Don't Follow the Average
An epidemic is not a steady stream but a series of hits. One carrier may infect no one, while another infects fifty people at once. Such rare but powerful events are called 'dragon kings': they stand out from the overall pattern and determine how severe a disease wave will be. In the new study, the virus is compared to a billiard ball.
How Ancient Weather Chronicles Came to Life
Old Chinese chronicles are full of weather entries: "no rain in the third month," "the river overflowed its banks." But these are words, not numbers. Until now, turning them into precise precipitation data was nearly impossible. The new approach works like a translator from the language of chronicles to the language of climatology.
q-bio.QM2026-01-152 minarXiv:2601.10202express
Seeing the Heart's Flicker in Two Mirrors at Once
The heart doesn't beat like a metronome but like a jazz drummer: sometimes it stumbles, skips beats, or races. Atrial fibrillation is one of the most insidious glitches: the atria quiver instead of contracting, and blood can pool, forming clots. Doctors catch this glitch on an ECG — a recording of the heart's electrical signals.
Multi-Day Rainstorms: How Dynamics Teaches Statistics to Keep Its Story Straight
In February 2022, the eastern coast of Australia was hit by rains that lasted several days in a row. Water inundated towns in Queensland and New South Wales, insurers paid out 3.35 billion dollars, and the flood became the costliest in the country's history.
A Translator That Never Loses the Meaning
A long conversation between two people can be condensed into a few key phrases that preserve the essence. That is exactly how a macrovariable works: temperature stands in for billions of moving molecules, and sea level for thousands of waves.