CVI. Observations on the multiple scattering of ionizing particles in photographic emulsions.—Part III. Statistics of the sampling distributions of second differences and the technique of overlapping cells
- 1 September 1951
- journal article
- research article
- Published by Taylor & Francis in Journal of Computers in Education
- Vol. 42 (332) , 1050-1059
- https://doi.org/10.1080/14786445108561350
Abstract
Predictions based on a theoretical treatment (Molière 1951) of the problem of overlapping cells, are in satisfactory agreement with the results of experiment. They would indicate that the dispersions of the sampling distributions of certain statistics commonly used to estimate the scattering of particles, are almost independent of λ, the coefficient of overlap. The dispersions are found to differ but little from those of measurements based on a smaller number of non-overlapping cells which are shown to be independent in the sense of ordinary statistical theory of small samples. It is concluded that the advantage of employing the technique of overlap is inappreciable.Keywords
This publication has 2 references indexed in Scilit:
- XV. Nuclear transmutations produced by cosmic-ray particles of great energyJournal of Computers in Education, 1950
- A mathematical Examination of the Methods of determining the Accuracy of Observation by the Mean Error, and by the Mean Square ErrorMonthly Notices of the Royal Astronomical Society, 1920