1974
DOI: 10.1021/ac60338a017
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Sampling variance in analysis for trace components in solids. Preparation of reference samples

Abstract: Sampling errors may be classified as determinate or indeterminate. We consider here a statistical approach to the question of variance of sampling of particulate matter, as distinct from the variance of analysis, with special emphasis on problems in trace analysis. In addition, the related topic of preparation of reference samples for trace measurements is considered.

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Cited by 37 publications
(19 citation statements)
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“…Then, they can use eq 3 to determine the number of particles required to produce a given theoretical relative standard deviation (RSD) as derived from the binomial distribution. 33 q np Theoretical RSD = (3) Using the results from eqs 2 and 3 and plugging them into eq 4, students can calculate the mass (m) of sample required to produce a given relative standard deviation. It is assumed that the particles are spherical and have a volume (v p ) of r 4 3 3 π .…”
Section: ■ Description Of the Activitymentioning
confidence: 99%
“…Then, they can use eq 3 to determine the number of particles required to produce a given theoretical relative standard deviation (RSD) as derived from the binomial distribution. 33 q np Theoretical RSD = (3) Using the results from eqs 2 and 3 and plugging them into eq 4, students can calculate the mass (m) of sample required to produce a given relative standard deviation. It is assumed that the particles are spherical and have a volume (v p ) of r 4 3 3 π .…”
Section: ■ Description Of the Activitymentioning
confidence: 99%
“…When a great number of individual particles are present in the subsample of a given mass, then it can be assumed that all such subsamples have the same average elemental composition. Using a very simplified model (Harris and Kratochvil 1973, Dybczyński et.al. 2000, Dybczyński et.al.…”
Section: Materials Homogeneity and Stability Studymentioning
confidence: 99%
“…This may be quite relevant in routine NAA in which relatively small sample (few hundreds of mg) are used. From the studies of e.g., Kratochvil [ 15 ] it appears that larger sample sizes can be necessary to minimize sampling errors particularly when analysing geological or environmental samples. Therefore, development of systems for routine analysis of samples of intermediate size, i.e., 1–10 g, might be beneficial for the accuracy and, implicitly, for the applicability and future relevance of NAA.…”
Section: Development Application Metrologymentioning
confidence: 99%