hedges g calculator

Hedges’ g Effect Size Calculator

Enter summary statistics for two independent groups. This tool computes pooled SD, Cohen’s d, Hedges’ g, and a 95% confidence interval.

What Is Hedges’ g?

Hedges’ g is a standardized mean difference used to estimate effect size between two groups. It is very similar to Cohen’s d, but includes a small-sample correction so the estimate is less biased when total sample size is modest.

If you compare an intervention group to a control group, Hedges’ g tells you how many pooled standard deviations apart the two means are.

Why Use Hedges’ g Instead of Cohen’s d?

  • Less bias in smaller samples: Cohen’s d tends to overestimate the true population effect when samples are small.
  • Common in meta-analysis: Many systematic reviews and meta-analyses report Hedges’ g as the default effect size metric.
  • Comparable interpretation: You can still interpret magnitudes similarly (small, medium, large), while getting a corrected estimate.

Formula Used in This Calculator

1) Pooled Standard Deviation

s_p = sqrt( ((n1 - 1)s1^2 + (n2 - 1)s2^2) / (n1 + n2 - 2) )

2) Cohen’s d

d = (M1 - M2) / s_p

3) Small-Sample Correction Factor

J = 1 - 3 / (4df - 1), where df = n1 + n2 - 2

4) Hedges’ g

g = J * d

How to Interpret Hedges’ g

A common rule of thumb for the absolute value of Hedges’ g:

  • ~0.20 = small effect
  • ~0.50 = medium effect
  • ~0.80 = large effect

Direction also matters: a positive value means Group 1 is higher than Group 2, while a negative value means Group 1 is lower.

When This Calculator Is Appropriate

  • Two independent groups (not paired/repeated measures).
  • You have summary stats: mean, standard deviation, and sample size for each group.
  • You want a standardized effect size for research reports or meta-analytic work.

Reporting Example

You can report your result like this:

“The treatment group scored higher than the control group, with a Hedges’ g of 0.47 (95% CI [0.10, 0.84]), indicating a small-to-moderate effect.”

Practical Notes

Confidence Interval

The calculator provides an approximate 95% confidence interval. Wider intervals indicate more uncertainty, usually because of smaller samples or high variability.

Assumptions

  • Groups are independent.
  • Data are measured on roughly continuous scales.
  • Standard deviations are meaningful for each group.

Bottom Line

Hedges’ g gives a corrected, easy-to-compare estimate of group differences. If you are working with smaller samples or preparing evidence for publication, it is usually a better default than Cohen’s d.

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