A researcher conducts a 2 $\times$ 3 between-subjects ANOVA.She finds a significant interaction,where = 120 and = 518.What is the effect size for this test using eta-squared?
A)0.23
B)0.43
C)4.32
D)There is not enough information to answer this question.

Question

A researcher conducts a 2 $\times$ 3 between-subjects ANOVA.She finds a significant interaction,where  = 120 and  = 518.What is the effect size for this test using eta-squared?
A)0.23 
B)0.43 
C)4.32 
D)There is not enough information to answer this question.

Quizplus · Accepted Answer

To calculate eta-squared, we need to know the sum of squares for the interaction (SSint), the sum of squares for factor 1 (SSf1), and the sum of squares for factor 2 (SSf2).
Without this information, we cannot calculate eta-squared.
However, we can calculate the effect size using the partial eta-squared, which is a similar measure of effect size that only considers the variance explained by the specific factor, rather than the entire variance in the model.
In this case, the partial eta-squared for the interaction would be:
partial eta-squared = SSint / (SSint + SSerror) = 120 / (120 + 518) = 0.188
While not exactly the same as eta-squared, partial eta-squared is still a useful measure of effect size and helps us choose the correct answer.

A Researcher Conducts a 2 ×\times× 3 Between-Subjects ANOVA

A Researcher Conducts a 2 $\times$ 3 Between-Subjects ANOVA