Energy Based Equality of Distributions Testing for Compositional Data

Energy Based Equality of Distributions Testing for Compositional Data | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Energy Based Equality of Distributions Testing for Compositional Data Volkan Sevinç, Michail Tsagris This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5595426/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Not many tests exist for testing the equality for two or more multivariate distributions with compositional data, perhaps due to their constrained sample space. At the moment, there is only one test suggested that relies upon random projections. We propose a novel test termed 𝑎–Energy Based Test (𝑎–EBT) to compare the multivariate distributions of two (or more) compositional data sets. Similar to the aforementioned test, the new test makes no parametric assumptions about the data and, based on simulation studies it exhibits higher power levels. Applied Statistics compositional data energy test hypothesis testing distributions Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5595426","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":387234821,"identity":"e940e36a-5839-4b46-934d-f2e8e21a17fc","order_by":0,"name":"Volkan Sevinç","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAu0lEQVRIiWNgGAWjYLCCBAYGOTCDhxQtxjAtEkTrSmwgWovB+cPHJB7usEtfOyOB8cHbNoY68wZCWm6kpUkknknO3XYjgdlwbhuDhMwBAlokZ/AYGyS2HQBpYZPmBWoh6DLJ/vOfQVrSzW4ksP8mSgs/Qw7jA6CWBKAWNmbitEikGQK1JBtuO/OwWXLOOQnJGYS0sPEffnDwZ5udvNnx5IMf3pTZ8BMfMQwMjA0MpMTkKBgFo2AUjAI8AAAtsToCLAB41AAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0003-4643-443X","institution":"Muğla Sıtkı Koçman University","correspondingAuthor":true,"prefix":"","firstName":"Volkan","middleName":"","lastName":"Sevinç","suffix":""},{"id":387235621,"identity":"10bcdb13-a506-41e2-97c2-cb4ccf94785c","order_by":1,"name":"Michail Tsagris","email":"","orcid":"https://orcid.org/0000-0002-2049-3063","institution":"University of Crete","correspondingAuthor":false,"prefix":"","firstName":"Michail","middleName":"","lastName":"Tsagris","suffix":""}],"badges":[],"createdAt":"2024-12-06 17:47:08","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false},"doi":"10.21203/rs.3.rs-5595426/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5595426/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":70890291,"identity":"809f443b-2414-42bb-9062-36422e4a8ffe","added_by":"auto","created_at":"2024-12-09 03:17:22","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1474709,"visible":true,"origin":"","legend":"","description":"","filename":"EnergyBasedEqualityofDistributionsTestingforCompositionalData.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5595426/v1_covered_460e7241-219c-4a64-a635-cb0fa4c342dd.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003e\u003cstrong\u003eEnergy Based Equality of Distributions Testing for Compositional Data\u003c/strong\u003e\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"compositional data, energy test, hypothesis testing, distributions","lastPublishedDoi":"10.21203/rs.3.rs-5595426/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5595426/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eNot many tests exist for testing the equality for two or more multivariate distributions with compositional data, perhaps due to their constrained sample space. 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