How to find Yule's Coefficient of Association?

Question:

Find the Yule's coefficient of association when N = 35, (A) = 18, (AB) = 8 and (αβ) = 5.

Solution:

Step 1: Prepare the 9 square table and find the missing frequencies.

	B	​β	Total
A	8	10	18
α	12	5	17
Total	20	15	35

Step 2: Find the Yule's Coefficient of Association

Q = [(AB)(α​β) - (A​β)(αB)] / [(AB)(α​β) + (A​β)(αB)]

∴ Q = [(8) x (5) - (10) x (12)] / [(8) x (5) + (10) x (12)]

∴ Q = [40 - 120] / [40 + 120]

∴ Q = -80 / 160

∴ Q = -1/2

∴ Q = -0.5

Answer:

Yule's coefficient of association when N = 35, (A) = 18, (AB) = 8 and (αβ) = 5 is -0.5

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