Statistical modelling of measurement errors in gas chromatographic analyses of blood alcohol content

Rossana Moroni, Paul Blomstedt, Lars Wilhelm, Tapani Reinikainen, Erkki Sippola, Jukka Corander

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Headspace gas chromatographic measurements of ethanol content in blood specimens from suspect drunk drivers are routinely carried out in forensic laboratories. In the widely established standard statistical framework, measurement errors in such data are represented by Gaussian distributions for the population of blood specimens at any given level of ethanol content. It is known that the variance of measurement errors increases as a function of the level of ethanol content and the standard statistical approach addresses this issue by replacing the unknown population variances by estimates derived from large sample using a linear regression model. Appropriate statistical analysis of the systematic and random components in the measurement errors is necessary in order to guarantee legally sound security corrections reported to the police authority. Here we address this issue by developing a novel statistical approach that takes into account any potential non-linearity in the relationship between the level of ethanol content and the variability of measurement errors. Our method is based on standard non-parametric kernel techniques for density estimation using a large database of laboratory measurements for blood specimens. Furthermore, we address also the issue of systematic errors in the measurement process by a statistical model that incorporates the sign of the error term in the security correction calculations. Analysis of a set of certified reference materials (CRMs) blood samples demonstrates the importance of explicitly handling the direction of the systematic errors in establishing the statistical uncertainty about the true level of ethanol content. Use of our statistical framework to aid quality control in the laboratory is also discussed.

Original languageEnglish
Pages (from-to)71-74
Number of pages4
JournalForensic Science International
Volume202
Issue number1-3
DOIs
Publication statusPublished - Oct 2010

Fingerprint

Gas Chromatography
Ethanol
Linear Models
Spatial Analysis
Normal Distribution
Police
Statistical Models
Quality Control
Population
Uncertainty
Gases
Blood Alcohol Content
Databases

Keywords

  • Blood alcohol content
  • Kernel technique for density estimation
  • Security correction

ASJC Scopus subject areas

  • Pathology and Forensic Medicine

Cite this

Statistical modelling of measurement errors in gas chromatographic analyses of blood alcohol content. / Moroni, Rossana; Blomstedt, Paul; Wilhelm, Lars; Reinikainen, Tapani; Sippola, Erkki; Corander, Jukka.

In: Forensic Science International, Vol. 202, No. 1-3, 10.2010, p. 71-74.

Research output: Contribution to journalArticle

Moroni, R, Blomstedt, P, Wilhelm, L, Reinikainen, T, Sippola, E & Corander, J 2010, 'Statistical modelling of measurement errors in gas chromatographic analyses of blood alcohol content', Forensic Science International, vol. 202, no. 1-3, pp. 71-74. https://doi.org/10.1016/j.forsciint.2010.04.029
Moroni, Rossana ; Blomstedt, Paul ; Wilhelm, Lars ; Reinikainen, Tapani ; Sippola, Erkki ; Corander, Jukka. / Statistical modelling of measurement errors in gas chromatographic analyses of blood alcohol content. In: Forensic Science International. 2010 ; Vol. 202, No. 1-3. pp. 71-74.
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