{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/the-merging-path-plot-adaptive-fusing-of-k","title":"The Merging Path Plot: adaptive fusing of k-groups with likelihood-based model selection","arxiv_id":"1709.04412","date":"2017-09-13","proceeding":null,"authors":["Agnieszka Sitko","Przemyslaw Biecek"],"abstract":"There are many statistical tests that verify the null hypothesis: the\nvariable of interest has the same distribution among k-groups. But once the\nnull hypothesis is rejected, how to present the structure of dissimilarity\nbetween groups? In this article, we introduce The Merging Path Plot - a\nmethodology, and factorMerger - an R package, for exploration and visualization\nof k-group dissimilarities. Comparison of k-groups is one of the most important\nissues in exploratory analyses and it has zillions of applications. The\nclassical solution is to test a~null hypothesis that observations from all\ngroups come from the same distribution. If the global null hypothesis is\nrejected, a~more detailed analysis of differences among pairs of groups is\nperformed. The traditional approach is to use pairwise post hoc tests in order\nto verify which groups differ significantly. However, this approach fails with\na large number of groups in both interpretation and visualization layer.\nThe~Merging Path Plot methodology solves this problem by using an\neasy-to-understand description of dissimilarity among groups based on\nLikelihood Ratio Test (LRT) statistic.","url_abs":"http://arxiv.org/abs/1709.04412v2","url_pdf":"http://arxiv.org/pdf/1709.04412v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"the-merging-path-plot-adaptive-fusing-of-k","repo_url":"https://github.com/MI2DataLab/factorMerger","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null},{"paper_slug":"the-merging-path-plot-adaptive-fusing-of-k","repo_url":"https://github.com/ModelOriented/DrWhy","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"tf","reach":{"status":"unanswered"}}],"tasks":[{"task_slug":"model-selection","task_name":"Model Selection"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}