How to find the extent or degree of association in theory of attributes?
Question:
Find the extent of association between intelligence of husband and the intelligence of wife when
Intelligent husbands with intelligent wives = 50
Intelligent husbands with dull wives = 200
Dull husbands with intelligent wives = 100
Dull husbands with dull wives = 300
Solution:
Step 1: Define the attributes
A : intelligent husband
α : dull husband
B : intelligent wife
β : dull wife
Step 2: Based on given data, note the frequencies
(AB) = 50
(Aβ) = 200
(αB) = 100
(αβ) = 300
Step 3: Find the Yule's Coefficient of Association
Q = [(AB)(αβ) - (Aβ)(αB)] / [(AB)(αβ) + (Aβ)(αB)]
∴ Q = [(50) x (300) - (200) x (100)] / [(50) x (300) + (200) x (100)]
∴ Q = [15000 - 20000] / [15000 + 20000]
∴ Q = -5000 / 35000
∴ Q = -1/7
∴ Q = -0.1428
Concept Recap:
The value of Yule's Coefficient of Association lies between -1 and 1.
If the value of Yule's Coefficient is 0, the attributes are independent.
If the value of Yule's Coefficient lies between 0 and 1, the attributes are positively associated.
If the value of Yule's Coefficient lies between 0 and 0.5, the attributes are weakly positively associated.
If the value of Yule's Coefficient lies between 0.5 and 1, the attributes are strongly positively associated.
If the value of Yule's Coefficient lies between -1 and 0, the attributes are negatively associated.
If the value of Yule's Coefficient lies between 0 and -0.5, the attributes are weakly negatively associated.
If the value of Yule's Coefficient lies between -0.5 and -1, the attributes are strongly negatively associated.
If the value of Yule's Coefficient is 1, the attributes are completely associated.
If the value of Yule's Coefficient is -1, the attributes are completely dissassociated.
Answer:
Since the value of Yule's Coefficient lies between 0 and -0.5, there is weak negative association between the intelligence of husband and intelligence of wife.
Video Solution:
