[R] Plotting confidence bands around regression line

Michal Figurski figurski at mail.med.upenn.edu
Tue Aug 10 20:23:51 CEST 2010


Peter,

Since in P&B the procedure is to calculate a whole list of slopes and 
intercepts, wouldn't it be a solution to determine the correlation and 
go from there? How do I do it?

--
Michal J. Figurski, PhD
HUP, Pathology & Laboratory Medicine
Biomarker Research Laboratory
3400 Spruce St. 7 Maloney
Philadelphia, PA 19104
tel. (215) 662-3413

On 2010-08-10 13:12, Peter Dalgaard wrote:
> Michal Figurski wrote:
>
>> # And the result of the Passing-Bablok regression on this data frame:
>>              Estimate      5%CI     95%CI
>> Intercept -4.306197 -9.948438 -1.374663
>> Slope      1.257584  1.052696  1.679290
>>
>> The original Passing&  Bablok article on this method has an easy
>> prescription for CIs on coefficients, so I implemented that. Now I need
>> a way to calculate CI boundaries for individual points - this may be a
>> basic handbook stuff - I just don't know it (I'm not a statistician).
>
> The answer is that you can't. You can't even do it with ordinary linear
> regression without knowing the correlation between slope and intercept.
> However, if you can get a CI for the intercept then you could subtract
> x0 from all the x and get a CI for the value at x0.
>
> (This brings echos from a distant past. My master's thesis was about
> some similar median-type estimators. I can't remember whether I looked
> at the Passing-Bablok paper at the time (1985!!) but my general
> recollection is that this group of methods is littered with unstated
> assumptions.)
>



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