{"data":{"id":"10.6084/m9.figshare.1418287","type":"dois","attributes":{"doi":"10.6084/m9.figshare.1418287","prefix":"10.6084","suffix":"m9.figshare.1418287","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Kim, Jongphil","givenName":"Jongphil","familyName":"Kim","affiliation":[],"nameIdentifiers":[]},{"name":"Lee, Ji-Hyun","givenName":"Ji-Hyun","familyName":"Lee","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"The validation of a beta-binomial model for overdispersed binomial data"}],"publisher":"Taylor \u0026 Francis","container":{},"publicationYear":2016,"subjects":[{"subject":"Genetics"},{"subject":"FOS: Biological sciences","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Ecology"},{"subject":"Sociology"},{"subject":"FOS: Sociology","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Biological Sciences not elsewhere classified"},{"subject":"Information Systems not elsewhere classified"},{"subject":"Mathematical Sciences not elsewhere classified"},{"subject":"Science Policy"},{"subject":"Plant Biology"}],"contributors":[],"dates":[{"date":"2016-11-11","dateType":"Created"},{"date":"2023-05-30","dateType":"Updated"},{"date":"2016","dateType":"Issued"}],"language":null,"types":{"ris":"DATA","bibtex":"misc","citeproc":"dataset","schemaOrg":"Dataset","resourceType":"Dataset","resourceTypeGeneral":"Dataset"},"relatedIdentifiers":[{"relationType":"IsSupplementTo","relatedIdentifier":"10.1080/03610918.2014.960091","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["1947242 Bytes"],"formats":[],"version":null,"rightsList":[{"rights":"Creative Commons Attribution 4.0 International","rightsUri":"https://creativecommons.org/licenses/by/4.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc-by-4.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"description":"The beta-binomial model has been widely used as an analytically tractable alternative that captures the overdispersion of an intra-correlated, binomial random variable, \u003ci\u003eX\u003c/i\u003e. However, the model validation for \u003ci\u003eX\u003c/i\u003e has been rarely investigated. As a beta-binomial mass function takes on a few different shapes, the model validation is examined for each of the classified shapes in this article. Further, the mean square error (MSE) is illustrated for each shape by the maximum likelihood estimator (MLE) based on a beta-binomial model approach and the method of moments estimator (MME) in order to gauge when and how much the MLE is biased.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://tandf.figshare.com/articles/dataset/The_Validation_of_a_Beta_Binomial_Model_for_Overdispersed_Binomial_Data/1418287","contentUrl":null,"metadataVersion":5,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"mds","isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":0,"citationCount":0,"citationsOverTime":[],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2015-05-18T16:28:00.000Z","registered":"2015-05-18T16:28:01.000Z","published":"2016","updated":"2024-03-24T12:04:25.000Z"},"relationships":{"client":{"data":{"id":"figshare.ars","type":"clients"}},"provider":{"data":{"id":"otjm","type":"providers"}},"media":{"data":{"id":"10.6084/m9.figshare.1418287","type":"media"}},"references":{"data":[]},"citations":{"data":[]},"parts":{"data":[]},"partOf":{"data":[]},"versions":{"data":[]},"versionOf":{"data":[]}}}}