wiqqi
Topic

Effect size

Also known as Cohen's d, effect sizes

How big a difference or effect is, as a number research can compare.

At a glance

Also on this page: Key facts · Links · Sources · Related pages

Why it matters

Key facts

In short
A quantitative measure of the magnitude and often direction of a phenomenon1
Cohen's d
The difference between two means divided by a standard deviation for the data1
Rules of thumb
Small 0.20, medium 0.50, large 0.80 (Cohen, 1988)1
Extended scale
Sawilowsky added very small (0.01), very large (1.20) and huge (2.0)1
Used for
Meta-analysis, which combines effect sizes from many studies1

In plain words

  1. Measured in spreads, not points1

    d says how many standard deviations apart two group averages are, so results on different questionnaires can be compared.

  2. Small, medium, large are relative1

    The terms are relative, not absolute; a small d can matter a lot in one field and little in another.

  3. Context over labels1

    Researchers are advised to judge an effect's real importance in a meaningful context; using Cohen's labels indiscriminately can mislead.

  4. Another way to say it: the chance one beats the other2

    The common language effect size is the probability that an observation from one group beats one from the other; for heights, a random man is taller than a random woman 92% of the time.

Examples from therapy research on this site

  1. Almost nothing: d = 0.01

    Removing a treatment's components in dismantling studies costs almost nothing, by the common factors evidence.

  2. Very small: d = 0.04

    How closely a therapist follows the treatment manual barely predicts outcome.

  3. At most small: d = 0.20

    The largest differences found between bona fide treatments, in the dodo bird debate.

  4. Small to medium: d = 0.35

    How much outcomes depend on which therapist you see, in trials; in everyday settings it reaches 0.55.

  5. Medium: d = 0.57

    How strongly the therapeutic alliance goes with outcome.

  6. Large: d = 0.90

    One session of chair work deepened emotional experiencing more than empathic responding alone, in a 2023 meta-analysis; it measured experiencing in the session, not symptoms.

Connections

Sources

  1. Effect size (Wikipedia) (opens en.wikipedia.org)
  2. Common language effect size (Wikipedia) (opens en.wikipedia.org)

Last checked against its sources today

Is something on this page wrong or out of date? Tell us

How recent

The line under a date fills as time passes: empty when new, then one equal share each for a day, a week, a month and a year. For episodes and other items it is full at 2 years; for "last checked", at a year. A striped line means the date is known only to the month or year.