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Novel method for producing uncertainty-weighted averages from a time series of ambient air measurements.

Brown, R J C (2010) Novel method for producing uncertainty-weighted averages from a time series of ambient air measurements. Int. J. Enviorn. Pollut., 41 (3-4). pp. 355-368.

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Abstract

A novel method for producing uncertainty-weighted averages from time series of ambient air measurements is presented. This method uses robust regression to establish a relationship between the measured mass concentration values and their uncertainties, and then uses the residuals of individual points from this relationship to calculate a weighting parameter. This parameter can then be used to produce an uncertainty-weighted mean for the group of measurement results used to establish the relationship between the measured values and their uncertainties, or a subset of these, as required. This is proposed as an improvement over the ISO 11222 approach to calculating time series averages and their uncertainties, as the calculated average makes best use of the individual statements of uncertainty calculated, and the uncertainty of the average value is not adversely affected by individual values with unexpected large uncertainties, unlike the ISO 11222 approach. Moreover the uncertainty of the average value is robust and not sensitive to large uncertainties in the individual data points used in the average, unlike the ISO 11222 approach. No extra information about the series of measurements, over and above their measured values and their uncertainties, are required in order to utilise the proposed new method. Examples of its application to synthetic data sets, and real data sets from the UK Heavy Metals Monitoring Network are presented.

Item Type: Article
Subjects: Analytical Science
Analytical Science > Trace Analysis and Electrochemistry
Last Modified: 23 Jul 2018 13:45
URI: http://eprintspublications.npl.co.uk/id/eprint/4646

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