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Lecture 15

SOC210 Lecture 15: Bivariate measures of association for ordinal level variables

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Department
Sociology
Course
SOC210
Professor
Michelle Maroto
Semester
Fall

Description
SOC 210 Lecture 15 Bivariate measures of association for ordinal level variables Gamma Measures of association for two collapse ordinal variables Measures both strength and direction of a relationship Symmetrical Based on the logic of pairs of cases n sand n d To compute Gamma, first find n and n s d ns= total number of similar pairs nd = total number of dissimilar pairs Example. 1. first pair = Person 1 and person 2 same order on both variables similar (ns) 2. second pair = person 3 and person 4 different order on the variable dissimilar (nd) Education(X) Income(Y) Person1 High High Person2 Low Low Person3 High Low Person4 Low High :alroF G = (n n ) (n + n ) s d s d ranges from 0 (no association) to +1 (perfect association) if s> n d then gamma will be positive if s< n d then gamma will be negative Strength of the relationship Value of gamma Strength 00.1 weak 0.110.3 moderate >0.3 strong Limitations of gamma When variables are not coded from low to high, exercise caution in using the sign (+ or ) of gamma to determine actual direction of the relationship Gamma tends to exaggerate the real strength of association
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