Advice on describing Bayesian analysis of neutron and X-ray reflectometry

Andrew R. Mccluskey*, Andrew J. Caruana*, Christy J. Kinane, Alexander J. Armstrong, Thomas Arnold, Joshaniel F.K. Cooper, David L. Cortie, Arwel V. Hughes, Jean Francois Moulin, Andrew R.J. Nelson, Wojciech Potrzebowski, Vladimir Starostin

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

6 Citations (Scopus)

Abstract

As a result of the availability of modern software and hardware, Bayesian analysis is becoming more popular in neutron and X-ray reflectometry analysis. The understandability and replicability of these analyses may be harmed by inconsistencies in how the probability distributions central to Bayesian methods are represented in the literature. Herein advice is provided on how to report the results of Bayesian analysis as applied to neutron and X-ray reflectometry. This includes the clear reporting of initial starting conditions, the prior probabilities, the results of any analysis and the posterior probabilities that are the Bayesian equivalent of the error bar, to enable replicability and improve understanding. It is believed that this advice, grounded in the authors' experience working in the field, will enable greater analytical reproducibility in the work of the reflectometry community, and improve the quality and usability of results.

Original languageEnglish
Pages (from-to)12-17
Number of pages6
JournalJournal of Applied Crystallography
Volume56
Issue number1
DOIs
Publication statusPublished - 1 Feb 2023

Bibliographical note

Publisher Copyright:
© 2023 International Union of Crystallography. All rights reserved.

Keywords

  • Bayesian analysis
  • FAIR data standards
  • reflectivity
  • reflectometry

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