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Re: st: sampsi and percentages
From
Ronan Conroy <[email protected]>
To
"[email protected]" <[email protected]>
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
[email protected]
Associate Professor
Division of Population Health Sciences
Royal College of Surgeons in Ireland
Beaux Lane House
Dublin 2
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