After an ANOVA,a researcher computes ² to evaluate effect size and obtains² = 0.50.If the ANOVA had SS_total = 100,then $\text { SSwithin }$ = $S S _ { \text {between } }$ = 50.

Question

Quizplus · Accepted Answer

The effect size (ꞃ²) can be calculated as:

ꞃ² = SSbetween / SStotal

We are given that ꞃ² = 0.50 and SStotal = SSwithin + SSbetween.

Substituting these values, we get:

0.50 = SSbetween / (SSwithin + SSbetween + SSwithin)

0.50 = SSbetween / (2*SSwithin + SSbetween)

0.50(2*SSwithin + SSbetween) = SSbetween

1.00SSwithin + 0.50SSbetween = SSbetween

0.50SSbetween = 1.00SSwithin

So, SSwithin and SSbetween are equal to 50 each. Therefore, the answer is A.

After an ANOVA,a Researcher Computes ² to Evaluate Effect Size SSwithin \text { SSwithin } SSwithin

After an ANOVA,a Researcher Computes ² to Evaluate Effect Size $\text { SSwithin }$