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A general variance predictor for Cavalieri slices
Author(s) -
CRUZORIVE L. M.
Publication year - 2006
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.1365-2818.2006.01535.x
Subject(s) - smoothness , variance (accounting) , flexibility (engineering) , constant (computer programming) , mathematics , variance components , statistics , algorithm , computer science , mathematical analysis , accounting , business , programming language
Summary A general variance predictor is presented for a Cavalieri design with slices of an arbitrary thickness t ≥ 0. So far, prediction formulae have been available either for measurement functions with smoothness constant q = 0, 1, … , and t ≥ 0, or for fractional q ∈ [0, 1] with t = 0. Because the possibility of using a fractional q adds flexibility to the variance prediction, we have extended the latter for any q ∈ [0, 1] and t ≥ 0 . Empirical checks with previously published human brain data suggest an improved performance of the new prediction formula with respect to the hitherto available ones.