Title: 2 Mantel-Haenszel Tests
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32 Mantel-Haenszel Tests
Suppose we have k strata producing k tables such
as
- Mantel-Haenszel Test for association in
stratified 2x2 tables - O a1ak
- E (a1b1) (a1c1)/n1 (akbk) (akck)/nk
- M-H (O-E-0.5)2/V
- Mantel-Haenszel Test for common OR in stratified
2x2 tables
4Dataset EAR Column Variable
Format or Code ----------------------------------
------------------ 1-3 ID 5 Clearance by 14
days 1yes/0no 7 Antibiotic
1CEF/2AMO 9 Age 1lt2
yrs/22-5 yrs/36 yrs 11 Ear
11st ear/22nd ear -------------------------
---------------------------
5Logistic Regression Analysis
- When to Use it
- Response is categorical
- Several Confounding factors or
- Numeric Covariates
- Logistic Regression model
- Logit(p) log(p/(1-p)) ??1x1 ?kxk
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7Odds Ratio Assume that x1 is a binary factor. B
is the group x10 A is the group x11 Then
the odds ratio OR pA(1- pA)/(pB(1- pB))
exp?1