Cohen's d Calculator

Calculate Cohen's d to measure the effect size between two means.

About Cohen's d Calculator

The Cohen's d Calculator computes Cohen's d, a measure of effect size that indicates the standardized difference between two means.

What is Cohen's d?

Cohen's d is a widely used statistic in social sciences to quantify the difference between two group means in terms of their standard deviation. It is particularly useful for understanding the practical significance of research findings.

Cohen's d is calculated using the following formula:

\( d = \frac{\bar{X}_1 - \bar{X}_2}{s_p} \)

Where:
\( \bar{X}_1, \bar{X}_2 \) = Means of Sample 1 and Sample 2
\( s_p \) = Pooled Standard Deviation

Calculating the Pooled Standard Deviation

The pooled standard deviation is calculated as:

\( s_p = \sqrt{ \frac{(n_1 -1)s_1^2 + (n_2 -1)s_2^2}{n_1 + n_2 -2} } \)

Where:
\( s_1, s_2 \) = Standard deviations of Sample 1 and Sample 2
\( n_1, n_2 \) = Sample sizes of Sample 1 and Sample 2

Interpreting the Results

Below are explanations of each item in the results:

Sample 1 Data: The individual data points you entered for Sample 1.
Sample 2 Data: The individual data points you entered for Sample 2.
Mean of Sample 1 (M₁): The average value of Sample 1, calculated by summing all the observations and dividing by the number of observations.
Mean of Sample 2 (M₂): The average value of Sample 2.
Standard Deviation of Sample 1 (SD₁): A measure of the amount of variation or dispersion of Sample 1 data points from the mean.
Standard Deviation of Sample 2 (SD₂): A measure of the amount of variation or dispersion of Sample 2 data points from the mean.
Pooled Standard Deviation (SD_pooled): The combined standard deviation of both samples, weighted by their degrees of freedom. It represents the average variability within the two samples.
Cohen's d: The standardized difference between the two means, calculated by dividing the difference between the means by the pooled standard deviation. It indicates the magnitude of the difference in terms of standard deviations.

Interpreting Cohen's d:

0.2 – Small effect size (the difference between the groups is small in practical terms)
0.5 – Medium effect size (the difference is moderate)
0.8 – Large effect size (the difference is substantial)

Use Cases of Cohen's d

Cohen's d is used in various fields:

Psychology: Measuring the effectiveness of therapies or interventions.
Education: Evaluating the impact of teaching methods.
Medicine: Assessing the effectiveness of treatments.

References:

Cohen's d - Wikipedia

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"Cohen's d Calculator" at https://MiniWebtool.com/cohens-d-calculator/ from MiniWebtool, https://MiniWebtool.com/

by miniwebtool team. Updated: Nov 08, 2024

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Related MiniWebtools:

Sample Size Calculator

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Cohen's d Calculator

About Cohen's d Calculator

What is Cohen's d?

Calculating the Pooled Standard Deviation

Interpreting the Results

Use Cases of Cohen's d

References:

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