Hi Petr, This is off the top of my head, but I assume that the shape of the particle is not considered in counting. Assume particles are uniformly distributed in the viewing field. If all particles entirely within the field are counted, large particles will be undercounted. If all particles within or intruding on the field are counted, large particles will be overcounted. I do not have an analytic proof of this, but the average of the two counts may provide a true count.
Hi Roger, The Wicksell problem looks fascinating, although I don't think it solves Petr's problem. I will study it further. Jim On Wed, Feb 20, 2019 at 10:34 PM Roger Koenker <rkoen...@illinois.edu> wrote: > > > Somewhere, buried in the vast literature on the Wicksell problem, there is > probably an answer, or at least a hint. > > > On Feb 20, 2019, at 11:16 AM, PIKAL Petr <petr.pi...@precheza.cz> wrote: > > > > Dear all > > > > Sorry, this is probably the most off-topic mail I have ever sent to this > > help list. However maybe somebody could point me to right direction or give > > some advice. > > > > In microscopy particle counting you have finite viewing field and some > > particles could be partly outside of this field. My problem/question is: > > > > Do bigger particles have also bigger probability that they will be partly > > outside this viewing field than smaller ones? > > > > Saying it differently, although there is equal count of bigger (white) and > > smaller (black) particles in enclosed picture (8), due to the fact that > > more bigger particles are on the edge I count more small particles (6) than > > big (4). > > > > Is it possible to evaluate this feature exactly i.e. calculate some bias > > towards smaller particles based on particle size distribution, mean > > particle size and/or image magnification? > > > > Best regards > > Petr Pikal > > Osobn? ?daje: Informace o zpracov?n? a ochran? osobn?ch ?daj? obchodn?ch > > partner? PRECHEZA a.s. jsou zve?ejn?ny na: > > https://www.precheza.cz/zasady-ochrany-osobnich-udaju/ | Information about > > processing and protection of business partner's personal data are available > > on website: https://www.precheza.cz/en/personal-data-protection-principles/ > > D?v?rnost: Tento e-mail a jak?koliv k n?mu p?ipojen? dokumenty jsou d?v?rn? > > a podl?haj? tomuto pr?vn? z?vazn?mu prohl??en? o vylou?en? odpov?dnosti: > > https://www.precheza.cz/01-dovetek/ | This email and any documents attached > > to it may be confidential and are subject to the legally binding > > disclaimer: https://www.precheza.cz/en/01-disclaimer/ > > > > <particle.pdf>______________________________________________ > > R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see > > https://stat.ethz.ch/mailman/listinfo/r-help > > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > > and provide commented, minimal, self-contained, reproducible code. > > ______________________________________________ > R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. ______________________________________________ R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
