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Re: st: Is it valid to use the individual ratios (i.e. Xi/Yi) in the dependent or independent part of a regression model?


From   [email protected]
To   [email protected]
Subject   Re: st: Is it valid to use the individual ratios (i.e. Xi/Yi) in the dependent or independent part of a regression model?
Date   Mon, 28 May 2012 00:17:28 +0800

In general, your comments are correct (esp. for an individual
patient). However, low urinary concentration is an independent
predictor of CKD progression
(http://www.ncbi.nlm.nih.gov/pubmed/12722030?dopt=Abstract) and there
has been some suggestions that the analyte concentration (unadjusted
for creatinine) should be included in the analysis with urinary
creatinine added as a separate independent variable in a population of
groups (http://www.ncbi.nlm.nih.gov/pubmed/15687057).

Jinn-Yuh


2012/5/27 Phil Clayton <[email protected]>:
> On 27/05/2012, at 9:35 PM, David Hoaglin wrote:
>
>>  As an explanatory variable, ACR is one function
>> of urinary albumin and urinary creatinine; but you could reasonably
>> consider other functions, such as the linear combination of urinary
>> albumin and urinary creatinine that arises from using those two as
>> explanatory variables or the nonlinear function in which the
>> explanatory variables in that part of the model are urinary albumin,
>> urinary creatinine, and their product
>
> What we're interested in, biologically, is the 24-h urinary albumin excretion.
>
> The reason the albumin is divided by creatinine is that the ACR is used to estimate the 24-h urinary albumin excretion from a single urine specimen rather than asking someone to collect their urine for a day. The urinary concentration can vary several fold (eg if you're dehydrated it goes up) which changes the albumin concentration in that specimen - but it changes the creatinine concentration by a similar amount, and we know the normal 24-h excretion of creatinine, so we divide the albumin by the creatinine to estimate the 24-h albumin excretion.
>
> So biologically ACR should be a ratio and must be nonnegative. You could include it in a regression model as a surrogate for the 24-h urine albumin excretion, but would need to careful how to model it as it generally has a nonlinear effect. For example it is commonly modelled as a categorical variable - normal, microalbuminuria, macroalbuminuria.
>
> Phil
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