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)(αβ) - (Aβ)(αB)] / [(AB)(αβ) + (Aβ)(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


Video Solution:


How to find Yule's Coefficient of Association with solved example from Theory of Attributes