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An example of such a measure is the \u03b4 statistic, which uses Shannon entropy to measure the degree of phylogenetic signal between a categorical trait and a phylogeny. In this study, we refined this statistic to account for tree uncertainty, resulting in more accurate assessments of phylogenetic associations. In addition, we provided a more accessible and computationally efficient implementation of the \u03b4 statistic that will facilitate its use by the evolutionary community.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Availability and implementation<\/jats:title>\n                  <jats:p>github.com\/diogo-s-ribeiro\/delta-statistic.<\/jats:p>\n               <\/jats:sec>","DOI":"10.1093\/bioinformatics\/btad433","type":"journal-article","created":{"date-parts":[[2023,7,25]],"date-time":"2023-07-25T17:30:02Z","timestamp":1690306202000},"source":"Crossref","is-referenced-by-count":8,"title":["Testing phylogenetic signal with categorical traits and tree uncertainty"],"prefix":"10.1093","volume":"39","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7773-4286","authenticated-orcid":false,"given":"Diogo","family":"Ribeiro","sequence":"first","affiliation":[{"name":"CIIMAR\/CIMAR, Interdisciplinary Centre of Marine and Environmental Research, University of Porto, Terminal de Cruzeiros do Porto de Leix\u00f5es , 4450-208 Porto, Portugal"},{"name":"Department of Biology, Faculty of Sciences, University of Porto, Rua do Campo Alegre , 4169-007 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5905-3778","authenticated-orcid":false,"given":"Rui","family":"Borges","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Populationsgenetik, Vetmeduni Vienna , 1210 Vienna, Austria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3218-7001","authenticated-orcid":false,"given":"Ana Paula","family":"Rocha","sequence":"additional","affiliation":[{"name":"CMUP, Centre of Mathematics of the University of Porto , 4169-007 Porto, Portugal"},{"name":"Department of Mathematics, Faculty of Sciences, University of Porto, Rua do Campo Alegre , 4169-007 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1328-1732","authenticated-orcid":false,"given":"Agostinho","family":"Antunes","sequence":"additional","affiliation":[{"name":"CIIMAR\/CIMAR, Interdisciplinary Centre of Marine and Environmental Research, University of Porto, Terminal de Cruzeiros do Porto de Leix\u00f5es , 4450-208 Porto, Portugal"},{"name":"Department of Biology, Faculty of Sciences, University of Porto, Rua do Campo Alegre , 4169-007 Porto, Portugal"}]}],"member":"286","published-online":{"date-parts":[[2023,7,25]]},"reference":[{"key":"2023072802494795900_btad433-B1","doi-asserted-by":"crossref","first-page":"899","DOI":"10.1046\/j.1420-9101.2002.00472.x","article-title":"Tempo and mode in evolution: phylogenetic inertia, adaptation and comparative methods","volume":"15","author":"Blomberg","year":"2002","journal-title":"J Evol 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