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Stratification and Mantel-
Haenszel estimation
Dr. Vignesh L, M.D. (AIIMS, New Delhi)
Senior Resident
Department of PSM
JIPMER, Puducherry
Confounding
Exposure Outcome
Confounding variable
?
How to handle confounding?
• Restriction
• Matching
• Randomization
• Stratification
• Multivariable regression
What if age of the participant is a ’suspect confounder’?
Examining the role of confounder
Stratification
Multiple stratifying groups
Cancer, Smoking, Urbanization
Can you notice
any other
pattern?
What is this phenomena?
1
2
3
4
1. Calculate Crude OR and RR (without stratification)
2. Group 1 – Stratified OR for age < 50 and age > 50
3. Group 2 – Stratified RR for age < 50 and age > 50
Mantel-Haenszel estimation
[(10*500)/600] + [(36* 200)/400]
[(35*100)/600] + [(25* 200)/400]
1000 100
900
100
1000
50
50
100
5 50
100 500
Factors affecting MH weight
• Total sample size
• Balance of exposed and unexposed
• Baseline disease status (among unexposed group)
Calculate adjusted RR and OR
1
2
3
4
Results
• 1 – Only confounder
• 2 – Neither confounder nor effect modifier
• 3 – Both confounder and effect modifier
• 4 – Only effect modifier
Limitation of MH estimation
Multi-variable regression is the savior !
References
• Gordis Epidemiology
• Week 9 : CONFOUNDING: MANTEL HAENSZEL
Lecture -
https://www.youtube.com/watch?v=LPr5tdAhhPA
&ab_channel=DataLearner

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Stratification and Mantel-Haenszel estimation