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Precision of the fractionator from Cavalieri designs
Author(s) -
CruzOrive L. M.
Publication year - 2004
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.2004.01291.x
Subject(s) - partition (number theory) , fragment (logic) , measure (data warehouse) , variance (accounting) , mathematics , sampling (signal processing) , fraction (chemistry) , statistics , algorithm , computer science , data mining , combinatorics , chromatography , chemistry , accounting , filter (signal processing) , business , computer vision
Summary A popular procedure to predict the variance of the fractionator consists in splitting the initial collection of fragments into two subsets, in order to use the corresponding particle counts (or any other pertinent measure), in the calculation. The current formula does not account for local or ‘nugget’ errors inherent in the estimation of fragment contents, however. Moreover, it does not account for the fact that the contribution of the variability between fragments or slices should rapidly decrease as the sampling fraction increases. For these reasons, an update to the formula is overdue. It should be stressed, however, that the formula applies to Cavalieri slices designs – its application for arbitrary partition designs is therefore not warranted.