# Commission Implementing Decision (EU) 2015/206 of 9 February 2015 on the approval of the Daimler AG efficient exterior lighting using light emitting diodes as an innovative technology for reducing CO2 emissions from passenger cars pursuant to Regulation (EC) No 443/2009 of the European Parliament and of the Council (Text with EEA relevance), Division 4.3: Calculate the statistical error in the CO2 savings

Extent: E+W+S+N.I.

The statistical error in the CO2 savings is to be determined in two steps. In the first step the error value of the power is to be determined as a standard deviation being equivalent to a confidence interval of 68 %.
This is to be done by formula (4).
Formula (4):
σ x – = ∑ n i = 1 x i − x – 2 n n − 1 Where:
σ x – Standard deviation of arithmetic mean [W];
xi Measurement value [W];
x – Arithmetic mean [W];
n Number of measurements, which is 5.
In order to calculate the error in the CO2 savings for a petrol and diesel -fuelled vehicles, the propagation law, expressed in formula (5), is to be applied.
Formula (5):
Where:
ΔC CO 2 – Mean total error of the CO2 saving [gCO2/km]
Sensitivity of calculated CO2 saving related to the type of lighting Pj
σPj Error of the type of lighting Pj [W]
m a number of types of lightings in the innovative technology package
Substituting formula (2) in formula (5) results in formula (6) for calculating the error in CO2 savings for petrol fuelled vehicles.
Formula (6):
ΔC CO 2 – = 0,0273 gCO 2 ∕ kmW × ∑ j = 1 m UF j × σ P j 2 Substituting formula (3) in formula (5) results in formula (7) for calculating the error in CO2 savings for diesel fuelled vehicles.
Formula (7):
ΔC CO 2 – = 0,0258 gCO 2 ∕ kmW × ∑ j = 1 m UF j × σ P j 2

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Source: https://www.legislation.gov.uk/eudn/2015/206/annex/division/4/division/4.3 (the official version)
Page: https://openlegislation.uk/eu-decision-2015-206/annex/division-4/division-4.3
Contains public sector information licensed under the Open Government Licence v3.0. Source: legislation.gov.uk, The National Archives.