Enter the sum of squares for the effect and the total sum of squares into the calculator to determine the eta squared.
Eta Squared Formula
The following formula is used to calculate Eta Squared.
η² = SS_effect / SS_total
Variables:
- η² is the Eta Squared
- SS_effect is the sum of squares for the effect
- SS_total is the total sum of squares
To calculate Eta Squared, divide the sum of squares for the effect by the total sum of squares. This will give you the proportion of variance in the dependent variable that can be predicted from the independent variable(s).
What is an 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.
How to Calculate Eta Squared?
The following steps outline how to calculate the Eta Squared (η²).
- First, determine the sum of squares for the effect (SS_effect).
- Next, determine the total sum of squares (SS_total).
- Next, gather the formula from above = η² = SS_effect / SS_total.
- Finally, calculate the Eta Squared (η²).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
SS_effect = 120
SS_total = 200
