Chapter 2 · Survey: Measurement and Scaling · Slide 33/274
Violations of transitivity when aggregating preferences
Apple ≻ Tomato ≻ Orange ≻ Apple. Apple is simultaneously the most and the least preferred — the group preferences are inconsistent!
2.2 · Comparative Scales
Ordinal Data
Violations of transitivity when aggregating preferences
Respondent #1
1
Apple
Apple2
Tomato
Tomato3
Orange
OrangeRespondent #2
1Tomato
Tomato2Orange
Orange3Apple
AppleRespondent #3
1Orange
Orange2Apple
Apple3Tomato
TomatoVote count
Apple ≻ Tomato2 : 1Tomato ≻ Orange2 : 1Orange ≻ Apple2 : 1Apple ≻ Tomato ≻ Orange ≻ Apple. Apple is simultaneously the most and the least preferred — the group preferences are inconsistent!
QUESTIONSTAR · Dr. Paul Marx
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