Abstract
In analogy to quantitative measurement methods the precision of binary measurement methods used in a population of laboratories can be characterised by the repeatability standard deviation and the reproducibility standard deviation of the probability of detection, POD. In order to estimate these standard deviations an interlaboratory experiment with k laboratories, each performing n repeated binary measurements at identical samples, is carried out according to ISO 5725-2 and analysed with a one-way analysis of variance. The variance estimates are, e.g., used for a test of equal POD of all laboratories and for the determination of a 90 %-expectation tolerance interval for the PODs of the laboratories.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The following results also hold for discrete random variables P. However, for the sake of simplicity only the case of a continuous random variable P is considered.
References
AOAC Guidelines. (2012). AOAC guidelines for validation of microbiological methods for food and environmental surfaces. AOAC INTERNATIONAL Methods Committee.
Bashkansky, E., & Gadrich, T. (2013). Some statistical aspects of binary measuring systems. Measurement, 46, 1922–1927.
Federer, W. T. (1968). Non-negative estimators for components of variance. Applied Statistics, 17, 171–174.
Graf, U., Henning, H.-J., Stange, K., & Wilrich, P.-Th. (1987). Formeln und Tabellen der angewandten mathematischen Statistik. Berlin/Heidelberg/New York: Springer.
ISO 5725-2. (1994). Accuracy (trueness and precision) of measurement methods and results – Part 2: Basic method for the determination of repeatability and reproducibility of a standard measurement method. Geneva: International Organization for Standardization.
Macarthur, R., & von Holst, C. (2012). A protocol for the validation of qualitative methods for detection. Analytical Methods, 4, 2744–2754.
Wang, Y. Y. (1967). A comparison of several variance component estimators. Biometrika, 54, 301–305.
Wilrich, P.-Th. (2010). The determination of precision of qualitative measurement methods by interlaboratory experiments. Accreditation and Quality Assurance, 15, 439–444.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Wilrich, PT. (2015). The Precision of Binary Measurement Methods. In: Beran, J., Feng, Y., Hebbel, H. (eds) Empirical Economic and Financial Research. Advanced Studies in Theoretical and Applied Econometrics, vol 48. Springer, Cham. https://doi.org/10.1007/978-3-319-03122-4_14
Download citation
DOI: https://doi.org/10.1007/978-3-319-03122-4_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-03121-7
Online ISBN: 978-3-319-03122-4
eBook Packages: Business and EconomicsEconomics and Finance (R0)