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duke_notes [2025/11/17 20:43] adminduke_notes [2025/11/17 21:46] (current) admin
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 [[https://stats.libretexts.org/Bookshelves/Introductory_Statistics/OpenIntro_Statistics_(Diez_et_al)./06%3A_Inference_for_Categorical_Data | Inference for Categorical Variables]] [[https://stats.libretexts.org/Bookshelves/Introductory_Statistics/OpenIntro_Statistics_(Diez_et_al)./06%3A_Inference_for_Categorical_Data | Inference for Categorical Variables]]
  
-effect modification vs confounding+===== General Tips ===== 
 + 
 +  * if you can, pick a continuous outcome over a binary outcome 
 +    * Why? For a binary outcome, you'll need a much larger sample size. Continuous outcomes also allow more precision. 
 +  * logistic regressions stink! 
 + 
 +logistic regression = linear model for the log-odds of the outcome 
 + 
 +=== analyzing relationship between categorical outcome and a continuous covariate === 
 + 
 +===effect modification vs confounding=== 
 + 
 +if we don't take effect modification into account, we get an over-generalized estimate of the relationship between the outcome and the exposure for the entire co-hort 
 + 
 +  * Breslow-Day Test examines if evidence of a differential association between two variables across the level of a third variable 
 +    * similar limitations to Cochran-Mantel-Haenszel test
  
 ==== Cochran-Mantel_haenszel test ==== ==== Cochran-Mantel_haenszel test ====
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