Introduction to (log) Odds Ratio - University of Groningen
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Introduction to (log) Odds Ratio
Statistics and Methodology Anna Lobanova: a.lobanova@ai.rug.nl
Who is more likely to drink beer on Queen's Day - students or teachers?
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Example: Who is more likely to drink beer on Queen's Day students or teachers?
Students Teachers Total
Drink 90 20 110
Don't drink 10 80 90
Total 100 100 200
Group 1 = students, group 2 = teachers
Event ? drinking beer at Queen's Day
Question: Is one group more likely to drink beer on Queen's Day than the other group? Or is this event independent of professional status?
Terminology & Notation:
A Two-way Contingency Table
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Drink
Students n11
Teachers n21
Total
n+1
Don't drink
Total
n12
n1+
n22
n2+
n+2
n
Terminology & Notation:
A Two-way Contingency Table
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response variable
explanatory variable
Drink Don't drink
Total
Students Teachers Total
n11 = 90 n12 = 10 n21 = 20 n22 = 80 n+1 = 110 n+2 = 90
n1+ = 100 n2+ = 100 n = 200
joint distribution
marginal distributions
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