2012
DOI: 10.1002/elan.201100510
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Bayesian Methods for Ion Selective Electrodes

Abstract: With the increasing use of ion-selective electrodes in environmental and health applications, it is important to know the precision of estimated concentrations. A Bayesian model for non-linear calibration is introduced which provides estimates of measurement precision by incorporating uncertainty in calibration parameters and inherent random noise in emf response. The analysis of lead in 17 soil samples demonstrates that large gains in precision are possible when calibrations are extended to include multiple e… Show more

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Cited by 13 publications
(41 citation statements)
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“…Traditionally, the LDL of ISEs is dictated by the presence of interfering ions (selectivity) and determined from the typical curvilinear response curve. 19 However, in this case, the curvilinear region is never observed. This exciting observation implies that the fundamental LDL for this system has not yet been measured and that with further system optimization (e.g., preventing trace amounts of CO 3 2− through equilibrium with atmospheric CO 2 ), subppt levels of CO 3 2− can possibly be determined.…”
Section: ■ Results and Discussionmentioning
confidence: 91%
“…Traditionally, the LDL of ISEs is dictated by the presence of interfering ions (selectivity) and determined from the typical curvilinear response curve. 19 However, in this case, the curvilinear region is never observed. This exciting observation implies that the fundamental LDL for this system has not yet been measured and that with further system optimization (e.g., preventing trace amounts of CO 3 2− through equilibrium with atmospheric CO 2 ), subppt levels of CO 3 2− can possibly be determined.…”
Section: ■ Results and Discussionmentioning
confidence: 91%
“…However, due to logarithmic dependence of signal versus the concentration, the precision is affected with pronounced negative effects if the concentration of the sample falls in the curvilinear response range [ 10 ]. The precision can be significantly improved if multiple ISEs of the same kind are used [ 38 ]. At present, only single ISEs are commercially available.…”
Section: Resultsmentioning
confidence: 99%
“…Since no estimate of uncertainty is given, these so called "point estimates" imply a level of precision that is not achieved with ISEs. 73 The power of this approach is that realistic estimates of measurement uncertainty are returned and information from redundant ISEs can be used to easily improve measurment precision and to identify and discard data from failing electrodes. In this respect, methods of statistical calibration are becoming increasingly popular in the analysis of chemical data, 70,71 including ISEs.…”
Section: Calibration and Precision Of Isesmentioning
confidence: 99%
“…73 Inclusion of muliple ISEs increases the overall precison of the analysis even though each ISE will have different calibration parameters and levels of precision. 73 Inclusion of muliple ISEs increases the overall precison of the analysis even though each ISE will have different calibration parameters and levels of precision.…”
Section: Calibration and Precision Of Isesmentioning
confidence: 99%