Precision of Cavalieri sections and slices with local errors

Summary Cavalieri sections — and more recently Cavalieri slices, especially in combination with non‐invasive scanning — are widely used to estimate volumes. Physical Cavalieri slices are also increasingly used to estimate neuron numbers via the optical fractionator. In either case, the prediction of...

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Bibliographic Details
Published in:Journal of microscopy (Oxford) 1999-03, Vol.193 (3), p.182-198
Main Author: CRUZ‐ORIVE, L. M.
Format: Article
Language:English
Subjects:
Cavalieri sections
Cavalieri slices
explicit nugget
Female
Humans
image analysis
implicit nugget
Infant, Newborn
lung
Lung - abnormalities
Lung - pathology
Mathematics
neuron
nugget
number
object‐0
object‐1
Observer Variation
particle number
point counting error
Sampling Studies
sectioning error
smoothness constant
stereology
systematic sampling
Tomography, X-Ray Computed - methods
variance prediction
volume
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Summary:Summary Cavalieri sections — and more recently Cavalieri slices, especially in combination with non‐invasive scanning — are widely used to estimate volumes. Physical Cavalieri slices are also increasingly used to estimate neuron numbers via the optical fractionator. In either case, the prediction of the error variance is important to assess optimal sample sizes. The error variance consists of two components, one due to the variation among the true contents of sections or slices, and the other due to local or ‘nugget’ errors. The latter may arise for instance when estimating section areas by point counting, or when counting discrete particles in slices or disectors. In this paper, a fairly comprehensive set of prediction formulae is presented to separate both variance components.
ISSN:0022-2720
1365-2818
DOI:10.1046/j.1365-2818.1999.00460.x