TY - JOUR
T1 - Statistical bias in isotope ratios
AU - Coath, Christopher D.
AU - Steele, Robert C. J.
AU - Lunnon, W. Fred
N1 - Dr. Coath is supported in this work by STFC grant ref. ST/F002734/1.
PY - 2013/1/1
Y1 - 2013/1/1
N2 - This paper presents the mathematics of the systematic bias in the expected value of the ratio of two noise- corrected Poisson-distributed variables, such as ion counting measurements. Such bias can lead to the reporting of incorrect ratios and, in some cases, systematic correlations with other measurements which can impact the scientific interpretation. We describe a novel method of treating such measurements which results in a negligible, exponentially small bias. We also re-examine the conventional approach deriving an exact expression for the bias including the noise correction explicitly.
AB - This paper presents the mathematics of the systematic bias in the expected value of the ratio of two noise- corrected Poisson-distributed variables, such as ion counting measurements. Such bias can lead to the reporting of incorrect ratios and, in some cases, systematic correlations with other measurements which can impact the scientific interpretation. We describe a novel method of treating such measurements which results in a negligible, exponentially small bias. We also re-examine the conventional approach deriving an exact expression for the bias including the noise correction explicitly.
U2 - 10.1039/C2JA10205F
DO - 10.1039/C2JA10205F
M3 - Article
VL - 28
SP - 52
EP - 58
JO - Journal of Analytical Atomic Spectrometry
JF - Journal of Analytical Atomic Spectrometry
SN - 0267-9477
IS - 1
ER -