# Effect Size Calculator

Calculate Cohen d, Hedges g, Cohen h for proportions, or correlation r effect sizes from summary statistics

> Canonical page: https://elysiatools.com/en/tools/effect-size-calculator

- **Category:** Math & Numbers

- **Keywords:** effect size, cohen d, hedges g, cohen h, correlation r, calculator

## Overview

The Effect Size Calculator is a statistical utility designed to compute standardized effect sizes directly from summary statistics. Whether you need to calculate Cohen's d or Hedges' g for mean differences, Cohen's h for proportions, or evaluate correlation r, this tool provides precise effect size values and qualitative magnitude interpretations to help you understand the practical significance of your data.

## Inputs

- **Effect Type** (select)
- **Group 1 Mean** (number)
- **Group 2 Mean** (number)
- **Group 1 Standard Deviation** (number)
- **Group 2 Standard Deviation** (number)
- **Group 1 Size** (number)
- **Group 2 Size** (number)
- **Proportion 1** (number)
- **Proportion 2** (number)
- **Correlation** (number)
- **Decimal Places** (number)

## When to use

- When comparing the means of two independent groups to determine the standardized difference.
- When evaluating the practical significance of a difference between two proportions in A/B testing or survey results.
- When converting summary statistics into standardized effect sizes for meta-analyses or academic research reports.

## How it works

- Select your desired effect type: Cohen's d, Hedges' g, Proportion h, or Correlation r.
- Input the required summary statistics, such as group means, standard deviations, sample sizes, or proportions.
- Specify the number of decimal places for your desired output precision.
- The calculator instantly computes the effect size and provides a qualitative magnitude interpretation (e.g., small, medium, or large).

## Use cases

- Academic researchers reporting the practical significance of experimental results in peer-reviewed journals.
- Data analysts conducting meta-analyses to standardize and compare results across multiple independent studies.
- A/B testing practitioners evaluating whether a statistically significant difference in conversion rates is practically meaningful.

## Frequently asked questions

### What is the difference between Cohen's d and Hedges' g?

Cohen's d calculates the standardized mean difference, while Hedges' g applies a correction factor that provides a less biased estimate for small sample sizes (typically under 20).

### How do I interpret the magnitude of the effect size?

The tool automatically provides a magnitude label based on standard statistical conventions, such as 0.2 for small, 0.5 for medium, and 0.8 for large effects in Cohen's d.

### Can I calculate effect sizes without raw data?

Yes, this calculator is specifically designed to work with summary statistics like means, standard deviations, and sample sizes, requiring no raw dataset.

### What is Cohen's h used for?

Cohen's h is used to measure the effect size between two independent proportions, helping to determine if the difference between two rates or percentages is practically meaningful.

### How many decimal places can I calculate?

You can configure the output precision from 0 up to 10 decimal places using the decimal places setting.

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