Eta Squared Calculator

Formula

The formula for calculating Eta Squared is:

\[ \eta^2 = \frac{SS_{effect}}{SS_{total}} \]

Where:

\( \eta^2 \) is the Eta Squared
\( SS_{effect} \) is the sum of squares for the effect
\( SS_{total} \) is the total sum of squares

What is Eta Squared?

Eta Squared is a statistical measure used in the context of an analysis of variance (ANOVA), which indicates the proportion of the total variance in a dependent variable that can be attributed to the variations in an independent variable. It is a measure of effect size and is used to determine the strength of the relationship between variables. The value of Eta Squared ranges from 0 to 1, where 0 indicates no effect and 1 indicates a perfect effect.

Example Calculation

Let's assume the following values:

Sum of Squares for the Effect (SS_effect) = 50
Total Sum of Squares (SS_total) = 200

Using the formula to calculate Eta Squared:

\[ \eta^2 = \frac{50}{200} = 0.25 \]

The Eta Squared is 0.25.