What is Cramér's $\phi$ for the following data:$\chi$² = 20.22, N = 200; # groups= 4?

Question

Quizplus · Accepted Answer

Cramér's V is calculated as the square root of (χ²/N) / min(k-1, r-1), where χ² is the chi-square statistic, N is the total sample size, k is the number of columns, and r is the number of rows in the contingency table. Given χ² = 20.22, N = 200, and # groups = 4 (implying a 4x4 table, so k = r = 4), Cramér's V = sqrt(20.22/200) / min(4-1, 4-1) = sqrt(0.1011) / 3 ≈ 0.18.

What Is Cramér's ϕ\phiϕ For the Following Data χ\chiχ 2 = 20

What Is Cramér's $\phi$ For the Following Data $\chi$ ² = 20