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Re: st: R: Interpretation of logistic regression coefficients


From   Ronan Conroy <rconroy@rcsi.ie>
To   "<statalist@hsphsun2.harvard.edu>" <statalist@hsphsun2.harvard.edu>
Subject   Re: st: R: Interpretation of logistic regression coefficients
Date   Mon, 28 Jan 2013 11:42:28 +0000

On 2013 Ean 27, at 17:34, David Hoaglin wrote:

> Unfortunately, starting with linear regression (page 115), Long and
> Freese give the common but oversimplified and often incorrect
> interpretation of regression coefficients that involves holding the
> other predictors constant ("regardless of the level of the other
> variables in the model").  That interpretation does not reflect how
> multiple linear regression works.

This brings up an interesting point about teaching, understanding and truth. 

The Buddhist concept of 'right speech' asks
- is it true?
- is it kind?
- is it helpful?
- is now that time to say it?

I feel that a good initial grasp of multiple regression will embolden the student to learn more and to nuance and refine their understanding. A meticulous explanation, on the other hand, can simply confirm what every student knows deep down in their core: that they are not going to understand any of this. 

I tend to introduce multiple regression by putting a question based on two univariate analyses:
- we know that first-time mothers have a higher risk of requiring a section 
- and we know that older mothers have a lower risk

The question, then, is twofold:
- if two mothers were the same age, but one was having their first child, would she be at increased risk?
- if two mothers were alike in terms of whether or not they were having a first child, but one of them was older, would she be at decreased risk?

My feeling is that this is not doing violence to the concept, in that it paves the way for a more nuanced explanation that is much harder to get your head around. 

Does anyone have a teaching strategy that painlessly[1] introduces a more sophisticated understanding?

[1]Terms and conditions apply. This is statistics. By painless, I mean it won't hurt me.


Ronán Conroy
rconroy@rcsi.ie
Associate Professor
Division of Population Health Sciences
Royal College of Surgeons in Ireland
Beaux Lane House
Dublin 2


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