This paper demonstrates a maximum likelihood (ML)-based approach to derive representative (“best guess”) contaminant concentrations from data with censored values (e.g., less than the detection limit). The method represents an advancement over existing techniques because it is capable of estimating the proportion of measurements that are true zeros and incorporating varying levels of censorship (e.g., sample specific detection limits, changes through time in method detection). The ability of the method to estimate the proportion of true zeros is validated using precipitation data. The stability and flexibility of the method are demonstrated with stochastic simulation, a sensitivity analysis, and unbiasedness analysis including varying numbers of significant digits. A key aspect of this paper is the application of the statistical analysis to real site rock core contaminant concentration data collected within a plume at two locations using high resolution depth-discrete sampling. Comparison of the representative values for concentrations at each location along the plume center-line shows a larger number of true zeros and generally lower concentrations at the downgradient location according to the conceptual site model, leading to improved estimates of attenuation with distance and/or time and associated confidence; this is not achievable using deterministic methods. The practical relevance of the proposed method is that it provides an improved basis for evaluating change (spatial, temporal, or both) in environmental systems.
%0 Journal Article
%1 haslauer2017estimating
%A Haslauer, Claus P.
%A Meyer, Jessica R.
%A Bardossy, Andras
%A Parker, Beth L.
%D 2017
%I ACS
%J ENVIRONMENTAL SCIENCE & TECHNOLOGY
%K censored_measurements contaminant_hydrogeology myown site_assessement statistics
%N 13
%P 7502-7510
%R 10.1021/acs.est.6b05385
%T Estimating a Representative Value and Proportion of True Zeros for
Censored Analytical Data with Applications to Contaminated Site
Assessment
%U http://pubs.acs.org/doi/abs/10.1021/acs.est.6b05385
%V 51
%X This paper demonstrates a maximum likelihood (ML)-based approach to derive representative (“best guess”) contaminant concentrations from data with censored values (e.g., less than the detection limit). The method represents an advancement over existing techniques because it is capable of estimating the proportion of measurements that are true zeros and incorporating varying levels of censorship (e.g., sample specific detection limits, changes through time in method detection). The ability of the method to estimate the proportion of true zeros is validated using precipitation data. The stability and flexibility of the method are demonstrated with stochastic simulation, a sensitivity analysis, and unbiasedness analysis including varying numbers of significant digits. A key aspect of this paper is the application of the statistical analysis to real site rock core contaminant concentration data collected within a plume at two locations using high resolution depth-discrete sampling. Comparison of the representative values for concentrations at each location along the plume center-line shows a larger number of true zeros and generally lower concentrations at the downgradient location according to the conceptual site model, leading to improved estimates of attenuation with distance and/or time and associated confidence; this is not achievable using deterministic methods. The practical relevance of the proposed method is that it provides an improved basis for evaluating change (spatial, temporal, or both) in environmental systems.
@article{haslauer2017estimating,
abstract = {This paper demonstrates a maximum likelihood (ML)-based approach to derive representative (“best guess”) contaminant concentrations from data with censored values (e.g., less than the detection limit). The method represents an advancement over existing techniques because it is capable of estimating the proportion of measurements that are true zeros and incorporating varying levels of censorship (e.g., sample specific detection limits, changes through time in method detection). The ability of the method to estimate the proportion of true zeros is validated using precipitation data. The stability and flexibility of the method are demonstrated with stochastic simulation, a sensitivity analysis, and unbiasedness analysis including varying numbers of significant digits. A key aspect of this paper is the application of the statistical analysis to real site rock core contaminant concentration data collected within a plume at two locations using high resolution depth-discrete sampling. Comparison of the representative values for concentrations at each location along the plume center-line shows a larger number of true zeros and generally lower concentrations at the downgradient location according to the conceptual site model, leading to improved estimates of attenuation with distance and/or time and associated confidence; this is not achievable using deterministic methods. The practical relevance of the proposed method is that it provides an improved basis for evaluating change (spatial, temporal, or both) in environmental systems.},
added-at = {2019-07-12T14:14:29.000+0200},
affiliation = {Haslauer, CP (Reprint Author), Univ Tubingen, Ctr Appl Geosci, Holderlinstr 12, D-72074 Tubingen, Germany. Haslauer, Claus P., Univ Tubingen, Ctr Appl Geosci, Holderlinstr 12, D-72074 Tubingen, Germany. Meyer, Jessica R.; Parker, Beth L., Univ Guelph, Inst Groundwater Res G360, Guelph, ON N1G 2W1, Canada. Bardossy, Andras, Univ Stuttgart, Inst Modelling Hydraul \& Environm Syst, D-70569 Stuttgart, Germany.},
author = {Haslauer, Claus P. and Meyer, Jessica R. and Bardossy, Andras and Parker, Beth L.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2cad0056caa81bc4ad05186bf6ea59f36/claushaslauer},
da = {2018-04-12},
doi = {10.1021/acs.est.6b05385},
eissn = {1520-5851},
interhash = {3a77859fdd44098be3a94155219f7614},
intrahash = {cad0056caa81bc4ad05186bf6ea59f36},
issn = {0013-936X},
journal = {ENVIRONMENTAL SCIENCE \& TECHNOLOGY},
keywords = {censored_measurements contaminant_hydrogeology myown site_assessement statistics},
language = {English},
number = 13,
orcid-numbers = {Meyer, Jessica/0000-0002-5016-5124},
pages = {7502-7510},
publisher = {ACS},
research-areas = {Engineering; Environmental Sciences \& Ecology},
timestamp = {2019-07-12T12:16:48.000+0200},
title = {Estimating a Representative Value and Proportion of True Zeros for
Censored Analytical Data with Applications to Contaminated Site
Assessment},
type = {Article},
unique-id = {ISI:000405056200023},
url = {http://pubs.acs.org/doi/abs/10.1021/acs.est.6b05385},
volume = 51,
year = 2017
}