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Measurement uncertainty in drinking water analysis

Problems with measurement uncertainty

According to the German drinking water regulation alle drinking water laboratories have to be accredited according to ISO/IEC 17025. This also implies that they have to know their measurement uncertainty and have to report under certain circumstances.

The laboratories are therefore urged to carry out uncertainty estimations. In order to propose a feasible procedure the NORDTEST approach on the estimation of measurement uncertainties was transformed into a German guideline (Deutsche Einheitsverfahren zur Wasser-, Abwasser- und Schlammuntersuchung A0-4 "Leitfaden zur Abschätzung der Messunsicherheit aus Validierungsdaten"). For more details about the uncertainty estimation see here. You will find more documents on this topic here.

From the customer's view the question comes up, how to handle this uncertainty statement and how to use it in conformity assessment. You may find our point of view here.

One could think that the measurement uncertainty reflects the quality of a laboratory. This might lead to the situation that customers are tempted to place contracts for laboratories on the basis of reported measurement uncertainties. This again would step by step lead to lower, unrealistic measurement uncertainties to be reported. Finally then there is no benefit from reported uncertainties. This would also contradict the fundamental idea of quality. The quality of a measurement result is sufficient, if the customer's requirements are fulfilled. We don't need more.

But how can customers, in the case of drinking water analyses the public health authorities, define the requirements? One could think that for drinking water analyses this is covered by the EU drinking water directive which specifies requirements for the analysis. Unfortunately the requirements laid down on precision, trueness and limit of detection cannot readily be converted into measurement uncertainties.

It would be benefitial to all involved if the requirements of the EU directive could uniformly be interpreted as customer's requirement on measurement uncertainty.

To support this, variance functions were calculated from the data of drinking water proficiency tests in Germany of the recent years. Data were taken form the following sources:

  • Landesamt für Natur, Umwelt und Verbraucherschutz Nordrhein-Westfalen (http://www.lanuv.nrw.de)
  • Institut für Hygiene und Umwelt der Freien und Hansestadt Hamburg (http://www.hamburg.de)
  • Niedersächsiches Landesgesundheitsamt, Standort Aurich (http://www.nlga.niedersachsen.de)
  • AQS Baden-Württemberg an der Universität Stuttgart

For the calculation of the variance function the relative reproducibility standard deviations (variation coefficients VCR) are depicted versus the concentration of the analyte. The characteristic function, described by Thompson, was used as a regression function:

characteristic function

You will find more details on characteriustic functions here.

This function enables us to state an average reproducibility standard deviation at the limit as well as the presentation of the concentratrion dependence of this relative standard deviation. In the following table the data of all parameters analysed in the PTs are collected. For your own calculations we have also reported the coefficients α and β. Please note that in many cases the incerease of the variation coefficient at low concentrations has a relatively uncertainty

By clicking on the parameter name you will get a graphical display. Parameters are listed in alphabetical order except the biocides. You will find the biocides at the end of the table.

Parameter Concentration range α β Limit VCR, limit Ndata sets
1,2-dichloroethane 1.4469 - 16.0758 µg/l 0.2892 18.19% 3 20.59%  83 
aluminium 0.0345 - 1.322 mg/l 0.0096 8.89% 0.2 10.1%  167 
ammonium 0.0841 - 9.8575 mg/l 0.0099 6.05% 0.5 6.37%  130 
antimony 2.3 - 423.8 µg/l 0.5524 14.07% 5 17.89%  101 
arsenic 2.5957 - 278.7 µg/l 0.5567 9.66% 10 11.15%  82 
benzene 0.493 - 9.0613 µg/l 0.096 20.2% 1 22.37%  70 
benzo(a)pyrene 0.005 - 0.2303 µg/l 0.0018 22.39% 0.01 28.86%  85 
benzo(b)fluoranthene 0.008 - 0.2332 µg/l 0.0018 18.66% 0.025 19.98%  85 
benzo(ghi)perylene 0.016 - 0.24 µg/l 0 27.93% 0.025 27.93%  85 
benzo(k)fluoranthene 0.011 - 0.2056 µg/l 0.0023 19.93% 0.025 21.97%  85 
boron 0.0794 - 1.9415 mg/l 0.0146 6.2% 1 6.37%  94 
bromate 0.0074 - 0.07 mg/l 0.0021 27.46% 0.01 34.7%  68 
bromodichloromethane 0.5911 - 22.6431 µg/l 0.0863 14.88% 12.5 14.89%  89 
bromoform 0.591 - 22.7734 µg/l 0.114 16.13% 12.5 16.16%  90 
cadmium 1.0506 - 51.7 µg/l 0.1141 8.06% 3 8.91%  78 
calcium 20.821 - 201.797 mg/l 0.4032 3.65%   73 
chloride 12.2483 - 289.636 mg/l 0.6549 2.91% 250 2.92%  104 
chloroform 0.5634 - 22.3871 µg/l 0.1448 16.25% 12.5 16.29%  90 
chromium 5.91 - 102.613 µg/l 0.521 7.56% 50 7.63%  77 
chromium (VI) 8.5758 - 88 µg/l 1.0623 5.57%   55 
colour (436 nm) 0.1469 - 1.961 1/m 0.045 7.88% 0.5 11.96%  97 
copper 21.0938 - 4452.1 µg/l 2.1675 5.28% 2000 5.29%  110 
cyanide 0.009 - 0.1339 mg/l 0.0016 19.14% 0.05 19.41%  68 
dibromochloromethane 0.5938 - 24.1129 µg/l 0.116 15.37% 12.5 15.39%  90 
electrical conductivity 264.25 - 5387 µS/cm 0.6356 1.3% 2790 1.3%  102 
epichlorohydrine 0.1264 - 0.9866 µg/l 0.0419 44.74% 0.1
fluoride 0.3948 - 4.842 mg/l 0.0443 5.91% 1.5 6.61%  104 
Indeno(1,2,3-cd)pyrene 0.013 - 0.2576 µg/l 0 27.62% 0.025 27.62%  85 
iron 0.0311 - 2.788 mg/l 0.0051 6.28% 0.2 6.78%  178 
lead 4.8 - 90.5 µg/l 0.7027 9.82% 10 12.07%  77 
magnesium 6.205 - 75.3308 mg/l 0.2186 4.25%   66 
manganese 0.0161 - 0.664 mg/l 0.0017 6.51% 0.05 7.34%  137 
mercury 0.5299 - 11.58 µg/l 0.0921 12.08% 1 15.19%  60 
nickel 5.9 - 89.8 µg/l 0.7679 7.13% 20 8.09%  77 
nitrate 4.09 - 189.898 mg/l 0.3634 3.55% 50 3.62%  143 
nitrite 0.049 - 1.4447 mg/l 0.0053 4.74% 0.5 4.85%  106 
o-phosphate 0.381 - 11.2502 mg/l 0.0476 12.22%   28 
Permanganate index 1.0262 - 21 mg/l 0.287 6.74% 5 8.85%  100 
potassium 1.549 - 37.536 mg/l 0.1437 5.1%   102 
selenium 3 - 449.8 µg/l 0.8023 13.36% 10 15.58%  82 
silicate 3.362 - 50.9648 mg/l SiO2 0.1607 7.03%   59 
sodium 8.836 - 185.682 mg/l 0.4684 4.02% 200 110 
sulfate 20.585 - 296.024 mg/l 0.8981 3.33% 250 3.35%  83 
tetrachloroethene 0.5336 - 18.4875 µg/l 0.1016 19.54% 5 19.64%  90 
TOC 0.8678 - 23.2 mg/l 0.2476 7.14%   87 
total P 0.1265 - 5.3538 mg/l 0.0158 9.73%   40 
trichloroethene 0.3794 - 17.5987 µg/l 0.0695 19.34% 5 19.39%  90 
turbidity 0.2954 - 8.609 FNU 0.0907 8.77% 1 12.62%  99 
uranium 1.31 - 17.45 µg/l 0.0434 6.51% 10 6.53%  10 
2,4,5-T 0.0648 - 0.8081 µg/l 0.0068 23.7% 0.1 24.66%  47 
2,4-D 0.0492 - 0.7812 µg/l 0.0101 23.61% 0.1 25.7%  47 
2,4-DB 0.0602 - 0.8102 µg/l 0.0141 25.23% 0.1 28.89%  47 
a-endosulfan 0.0819 - 0.6118 µg/l 0 19.63% 0.1 19.63%  14 
a-HCH 0.034 - 0.087 µg/l 0.0085 20.6% 0.1
aldrin 0.0225 - 0.6761 µg/l 0.0047 24.99% 0.1 25.43%  39 
atrazine 0.0567 - 0.833 µg/l 0.0061 15.44% 0.1 16.6%  60 
b-endosulfan 0.0655 - 0.5632 µg/l 0.0063 19.01% 0.1 20.03%  14 
bentazone 0.0658 - 0.8591 µg/l 0.0116 22.74% 0.1 25.52%  61 
bromoxynil 0.0609 - 0.8781 µg/l 0.0093 26.32% 0.1 27.91%  61 
chlortoluron 0.069 - 0.8126 µg/l 0.0083 15.47% 0.1 17.57%  45 
d-HCH 0.0256 - 0.4469 µg/l 0.0059 27.04% 0.1 27.68%  15 
desethylatrazine 0.0618 - 0.855 µg/l 0.0027 20.45% 0.1 20.64%  45 
desisopropylatrazine 0.1553 - 0.7865 µg/l 0.029 26.86% 0.1 18 
dichlorprop 0.0741 - 0.8747 µg/l 0.0091 20.3% 0.1 22.24%  61 
dieldrin 0.0267 - 0.5646 µg/l 0.0051 21.07% 0.1 21.68%  45 
dimethoat 0.077 - 0.212 µg/l 0.0148 40.5% 0.1 43.12% 
diurone 0.0569 - 0.8087 µg/l 0.0098 17.49% 0.1 20.05%  60 
endrin 0.0259 - 0.461 µg/l 0.0055 26.46% 0.1 27.03%  15 
fenoprop 0.0697 - 0.8217 µg/l 0.0137 18.62% 0.1 23.13%  47 
g-HCH 0.0273 - 0.6474 µg/l 0.0084 20.67% 0.1 22.32%  38 
heptachlor 0.0417 - 0.488 µg/l 0.0017 30.05% 0.1 30.1%  21 
hexachlorobenzene 0.0184 - 0.5225 µg/l 0.0034 25.44% 0.1 25.67%  45 
ioxynil 0.091 - 0.732 µg/l 0.0053 32.49% 0.1 32.92%  14 
isoproturone 0.0598 - 0.7742 µg/l 0.0111 17.44% 0.1 20.66%  60 
linuron 0.145 - 0.6875 µg/l 0.0322 16.64% 0.1 15 
MCPA 0.0804 - 0.8899 µg/l 0.0098 23.95% 0.1 25.87%  61 
MCPB 0.0628 - 0.8078 µg/l 0.0031 22.74% 0.1 22.95%  47 
mecoprop 0.0585 - 0.8464 µg/l 0.0148 20.26% 0.1 25.06%  61 
metazachlor 0.1197 - 0.827 µg/l 0.0306 25.56% 0.1 15 
metobromurone 0.0539 - 0.8813 µg/l 0.0073 17.06% 0.1 18.54%  30 
metolachlor 0.074 - 0.7559 µg/l 0.0166 19.64% 0.1 25.7%  33 
metribuzin 0.068 - 1.0234 µg/l 0.012 20.41% 0.1 23.69%  30 
p,p-DDD 0.0245 - 0.4058 µg/l 0.0073 23.19% 0.1 24.32%  24 
p,p-DDE 0.0544 - 0.599 µg/l 0.0032 23.23% 0.1 23.45%  21 
p,p-DDT 0.0233 - 0.4026 µg/l 0.0052 28.95% 0.1 29.42%  24 
parathion-ethyl 0.036 - 0.138 µg/l 0.0074 36.13% 0.1 36.87% 
propazine 0.067 - 0.8203 µg/l 0.0148 15.13% 0.1 21.14%  24 
simazine 0.07 - 0.875 µg/l 0.0073 19.19% 0.1 20.55%  39 
terbuthylazine 0.0543 - 0.8117 µg/l 0.004 17.56% 0.1 18%  60 
trifluraline 0.064 - 0.15 µg/l 0.0068 30.41% 0.1 31.15%