Reference scaled BE - EMA [RSABE / ABEL]

posted by Helmut Homepage – Vienna, Austria, 2010-04-27 16:58 (5481 d 01:56 ago) – Posting: # 5249
Views: 36,467

Dear Dave & all,

THX again for the update!

<nitpicking>

What do you think about the switching condition thetas (aka regulatory constant k)?

</nitpicking>

EMA did not give details of the calculation and (for simplicity?) used k=0.760. Actually it's based on the regulatory standardized variation sigma0 (i.e., the limit for HVDs/HVDPs). For CVWR=30% we get sigma0=sqrt[ln(0.3²+1)]=0.293560379... and thetas=k=ln(1.25)/sigma0=0.760128298... Backcalculating from 0.760 one would get a limit for HVDs/HVDPs of 30.005%. :-D
This explains small discrepancies between tables of Tóthfalusi et al. (2009), EMA (2010), and exact values.

        Tóthfalusi      EMA GL         exact
CV (%)   L     U      L      U       L      U
 30     80.0 125.0   80.00 125.00   80.00 125.00
 35     77.2 129.5   77.23 129.48   77.23 129.49
 40     74.6 134.0   74.62 134.02   74.61 134.02
 45     72.2 138.6   72.15 138.59   72.15 138.60
 50     69.8 143.2   69.84 143.19   69.83 143.20
 55     67.7 147.8   like CV 50 %   67.65 147.81
 60     65.6 152.4   like CV 50 %   65.61 152.42


In other words, what value would you use? 0.760 because stated as such in the guideline, or the exact value based on CVWR 30%? It's similar to the limit for NTIDs: L=0.9 and U=1/L=1.1... (not 1.1111).

@Dave: For Method A – Direct Expansion of BE limits (outdated in the EU soon, but still applicable in other countries) the limits are L=0.75 and U=1/L=1.3 (not 1.33 as in cell Y10).

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