Aspects of Frequentism. Issue 3 (5th July 2018)

• Record Type: Journal Article
• Authors: Caldwell, Allen
• Other Names: Enßlin Torsten A. guestEditor.; Jasche Jens guestEditor.; Skilling John guestEditor.
• Is Part Of: Annalen der Physik. Volume 531:Issue 3(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2018-07-05
• Subjects: confidence levels -- p‐values -- statistical analysis; Physics -- Periodicals; Chemistry -- Periodicals; 530.05
• DOI: 10.1002/andp.201700457
• Languages: English
• ISSNs: 0003-3804

Abstract

Abstract: Some aspects of the Frequentist approach to statistical data analysis are presented and discussed. The construction of confidence intervals for parameters is explained and made concrete with a detailed example. The intervals correspond to parameter ranges where the observed data is in a 'favored' part of the expected results distribution. Goodness‐of‐fit tests are defined similarly; here, a Bayesian argument is given for the usefulness of these tests. The possible over‐interpretation of Frequentist results is also discussed. Abstract : Some aspects of the Frequentist approach to statistical data analysis are presented and discussed. The construction of confidence intervals for parameters is explained and made concrete with a detailed example. Goodness‐of‐fit tests are defined similarly; here, a Bayesian argument is given for the usefulness of these tests. The possible over‐interpretation of Frequentist results is also discussed.