Uncertainty of Peak Area
Variance of the area is computed by a standard error propagation method. This method is well known, and provides the overall uncertainty of arithmetic expressions, which in turn depend on other uncertain values themselves.
The calculation incorporates
where
        
var( Area )
variance of peak area
 
partial derivative of the peak area by fitted parameter pk
According to our Monte-Carlo simulations, this approximates the real peak area uncertainties very well.
You are able to check this calculation using
      
Fitted parameter (pk)
 
GAmpl
Gsig ( 1 + GSig ( LSAmpl LSSlope + RSAmpl RSSlope ) ) √π
GWidth
GAmpl ( 1 + 2 GSig ( LSAmpl LSSlope + RSAmpl RSSlope ) ) √π
LSAmpl
GAmpl GSig² LSSlope √π
LSSlope
GAmpl GSig² LSAmpl √π
RSAmpl
GAmpl GSig² RSSlope √π
RSSlope
GAmpl GSig² RSAmpl √π
 
 
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