Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Poisson errors and adaptive rebinning in X-ray Powder Diffraction Data

Published

Author(s)

Marcus H. Mendenhall

Abstract

Abstract This work provides a short summary of techniques for formally-correct handling of statistical uncertainties in Poisson- statistics dominated data. Correct assignment of uncertainties for low counts is documented. We describe a technique for adaptively rebinning such data sets to provide more uniform statistics across a pattern with a wide range of count rates, from a few (or no) counts in a background bin to on-peak regions with many counts. This permits better plotting of data and analysis of a smaller number of points in a fitting package, without significant degradation of the information content of the data set. Examples of the effect of this on a data set are given.
Citation
Powder Diffraction
Volume
33
Issue
4

Keywords

statistics, x-ray diffraction, xrd, poisson, data analysis, adaptive

Citation

Mendenhall, M. (2018), Poisson errors and adaptive rebinning in X-ray Powder Diffraction Data, Powder Diffraction, [online], https://doi.org/10.1017/S0885715618000726 (Accessed April 14, 2024)
Created October 10, 2018, Updated December 20, 2018