A researcher computes a 3 $\times$ 4 chi-square test for independence with a sample of 50 participants,with = 8.43.What is the effect size for this result?
A)0.08
B)0.17
C)0.29
D)0.41

Question

A researcher computes a 3 $\times$ 4 chi-square test for independence with a sample of 50 participants,with  = 8.43.What is the effect size for this result?
A)0.08 
B)0.17 
C)0.29 
D)0.41

Quizplus · Accepted Answer

To calculate the effect size for a chi-square test of independence, we can use Cramer's V formula:

V = √(χ^2 / n*(min(r,c)-1))

Where χ^2 is the chi-square statistic, n is the sample size, r is the number of rows in the contingency table, and c is the number of columns.

Plugging in the values from the question, we get:

V = √(8.43 / 50*(3-1))
V = √(8.43 / 100)
V = √0.0843
V ≈ 0.29

Therefore, the effect size is 0.29, which corresponds to choice C.

A Researcher Computes a 3 ×\times× 4 Chi-Square Test for Independence with a Sample of 50

A Researcher Computes a 3 $\times$ 4 Chi-Square Test for Independence with a Sample of 50