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Re: st: sampsi and percentages


From   Ronan Conroy <rconroy@rcsi.ie>
To   "statalist@hsphsun2.harvard.edu" <statalist@hsphsun2.harvard.edu>
Subject   Re: st: sampsi and percentages
Date   Tue, 30 Aug 2011 16:10:50 +0100

On 2011 Lún 30, at 15:45, Ricardo Ovaldia wrote:

>  
> Thank you, but these are not proportions. They are intensity measures. You can think of them as ratios of two continous things. 
> For example with the auto data, they could be the ratio of car's length  to weight (length / weight) which is always between 0 and 1.
>  

> Now less say that you want to compare these ratio between between foreign and domestic cars.
> 

I am a little confused. A ratio can be greater than 1, while a proportion cannot. 

In your example, however, you are asking if the difference in weight between foreign and domestic cars is explained by the difference in length between them. 

. regress weight length foreign

      Source |       SS       df       MS              Number of obs =      74
-------------+------------------------------           F(  2,    71) =  316.54
       Model |  39647744.7     2  19823872.3           Prob > F      =  0.0000
    Residual |   4446433.7    71  62625.8268           R-squared     =  0.8992
-------------+------------------------------           Adj R-squared =  0.8963
       Total |  44094178.4    73  604029.841           Root MSE      =  250.25

------------------------------------------------------------------------------
      weight |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
      length |   31.44455   1.601234    19.64   0.000     28.25178    34.63732
     foreign |  -133.6775   77.47615    -1.73   0.089    -288.1605    20.80555
       _cons |   -2850.25   315.9691    -9.02   0.000    -3480.274   -2220.225
------------------------------------------------------------------------------


Length is a significant determinant of weight, and adjusted for this there is no significant difference between domestic and foreign cars (the effect size is interesting, but the standard error is very large). 

Is this analogous to what you had in mind?


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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