Date created: | Last Updated:

Category: Project

Description: The Bayesian KMO (BKMO) index is introduced in the research paper Revisiting ‘Little Jiffy, Mark IV’: Towards a Bayesian KMO index. This paper subscribes to the open science standard and is made freely available. Abstract The Kaiser-Meyer-Olkin (KMO) index is a measure of sampling adequacy used by researchers to assess whether a data matrix is factorable prior to a factor analysis. Since its conception, the KMO index has remained a Frequentist statistic, leaving researchers unable to employ the advantages of Bayesian inference when assessing sampling adequacy. Building on the increasing relevance of the Bayesian statistical approach, as well as advancements in Markov-Chain Monte Carlo methods, the author proposes a re-conceptualization of the KMO index within the Bayesian framework that enables researchers to incorporate prior information and make coherent probabilistic statements about the sampling adequacy of a data matrix.© Keywords: Kaiser-Meyer-Olkin index, KMO, Bayesian Kaiser-Meyer-Olkin index, BKMO, Measure of Sampling Adequacy, MSA, Bayesian Measure of Sampling Adequacy, BMSA, Bootstrap KMO index, Robust KMO index, Robust BKMO index, Bayesian inference, Likelihood-based inference, Frequentist inference FAQ - The newest iteration of the research paper (in PDF-format) is made available in the 'Newest'-folder under the 'Files'-tab. - An archive of different iterations of the research paper and materials, including data and plots, are made freely available in the 'Archive'-folder under the 'Files'-tab. - A version of the research paper is also made available in HTML-format at the URL: (https://emeyer-hansen.github.io/bayesian-kmo/) - Materials are also made available on its Github-project page (https://github.com/emeyer-hansen/bayesian-kmo). Changelog 2025-09-20 14:45 CEST - [Version 2025-09-19-10-52-HTML] - Working Paper - HTML-version of v2025-09-19-10-52 (Available on Github) - Corrected 'Partial' to 'Anti-image' in Appendix 2025-09-19 10:52 CEST - [Version 2025-09-19-10-52] - Working Paper - Major corrections/revisions of notation and text. - Added more content to discussions of a Robust (B)KMO index. - Removed changelog and citation sections. - Added suggested citation to the first page. - Subtle changes to the wording of the license. 2025-06-05 07:28 CEST - [Version 2025-06-03-09-14-HTML] - Working Paper - Initial HTML version (Available on Github) 2025-06-03 09:14 CEST - [Version 2025-06-03-09-14] - Working Paper - Minor Corrections 2025-05-20 10:29 CEST - [Version 2025-05-20-10-29] - Working Paper - Initial Release License (Addendum): Except where otherwise indicated, all contents of this document and/or associated files are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0: https://creativecommons.org/licenses/by/4.0/). All software, including but not necessarily limited to, source code, executable code, code snippets, code chunks, algorithms, and/or scripts, attributable to this document and/or its associated files are expressly excluded from the foregoing license, and unless otherwise indicated, are instead licensed under the GNU General Public License, version 3 (GPL-3.0: https://www.gnu.org/licenses/gpl-3.0.html). By engaging with this document and/or any associated files, which include, but are not necessarily limited to, downloading, using, viewing, and/or distributing any of them, in parts of whole, you agree to comply with the applicable license terms for the respective content types.