{"data":{"id":"10.6084/m9.figshare.c.2068997.v1","type":"dois","attributes":{"doi":"10.6084/m9.figshare.c.2068997.v1","prefix":"10.6084","suffix":"m9.figshare.c.2068997.v1","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Lee, Ji-Hyun","givenName":"Ji-Hyun","familyName":"Lee","affiliation":[],"nameIdentifiers":[]},{"name":"Kim, Jongphil","givenName":"Jongphil","familyName":"Kim","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"The Validation of a Beta-Binomial Model for Overdispersed Binomial Data"}],"publisher":"Taylor \u0026 Francis","container":{},"publicationYear":2015,"subjects":[{"subject":"Plant Biology"},{"subject":"FOS: Biological sciences","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Science Policy"},{"subject":"Mathematics"},{"subject":"FOS: Mathematics","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Biological Sciences"},{"subject":"Sociology"},{"subject":"FOS: Sociology","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Ecology"},{"subject":"Chemistry"},{"subject":"Earth and Environmental Sciences"}],"contributors":[],"dates":[{"date":"2015-12-05","dateType":"Created"},{"date":"2019-08-19","dateType":"Updated"},{"date":"2015","dateType":"Issued"}],"language":null,"types":{"ris":"GEN","bibtex":"misc","citeproc":"article","schemaOrg":"Collection","resourceType":"Collection","resourceTypeGeneral":"Collection"},"relatedIdentifiers":[{"relationType":"IsIdenticalTo","relatedIdentifier":"10.6084/m9.figshare.c.2068997","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":[],"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":"ABSTRACT.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 paper. 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":"PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHJlc291cmNlIHhtbG5zPSJodHRwOi8vZGF0YWNpdGUub3JnL3NjaGVtYS9rZXJuZWwtNCIgeG1sbnM6eHNpPSJodHRwOi8vd3d3LnczLm9yZy8yMDAxL1hNTFNjaGVtYS1pbnN0YW5jZSIgeHNpOnNjaGVtYUxvY2F0aW9uPSJodHRwOi8vZGF0YWNpdGUub3JnL3NjaGVtYS9rZXJuZWwtNCBodHRwOi8vc2NoZW1hLmRhdGFjaXRlLm9yZy9tZXRhL2tlcm5lbC00LjQvbWV0YWRhdGEueHNkIj4KICA8aWRlbnRpZmllciBpZGVudGlmaWVyVHlwZT0iRE9JIj4xMC42MDg0L005LkZJR1NIQVJFLkMuMjA2ODk5Ny5WMTwvaWRlbnRpZmllcj4KICA8Y3JlYXRvcnM+CiAgICA8Y3JlYXRvcj4KICAgICAgPGNyZWF0b3JOYW1lPkppLUh5dW4gTGVlPC9jcmVhdG9yTmFtZT4KICAgICAgPGdpdmVuTmFtZT5KaS1IeXVuPC9naXZlbk5hbWU+CiAgICAgIDxmYW1pbHlOYW1lPkxlZTwvZmFtaWx5TmFtZT4KICAgIDwvY3JlYXRvcj4KICAgIDxjcmVhdG9yPgogICAgICA8Y3JlYXRvck5hbWU+Sm9uZ3BoaWwgS2ltPC9jcmVhdG9yTmFtZT4KICAgICAgPGdpdmVuTmFtZT5Kb25ncGhpbDwvZ2l2ZW5OYW1lPgogICAgICA8ZmFtaWx5TmFtZT5LaW08L2ZhbWlseU5hbWU+CiAgICA8L2NyZWF0b3I+CiAgPC9jcmVhdG9ycz4KICA8dGl0bGVzPgogICAgPHRpdGxlPlRoZSBWYWxpZGF0aW9uIG9mIGEgQmV0YS1CaW5vbWlhbCBNb2RlbCBmb3IgT3ZlcmRpc3BlcnNlZCBCaW5vbWlhbCBEYXRhPC90aXRsZT4KICA8L3RpdGxlcz4KICA8ZGVzY3JpcHRpb25zPgogICAgPGRlc2NyaXB0aW9uIGRlc2NyaXB0aW9uVHlwZT0iQWJzdHJhY3QiPiZsdDtkaXYmZ3Q7Jmx0O3AmZ3Q7QUJTVFJBQ1QuJmx0Oy9wJmd0OyZsdDtwJmd0O1RoZSBiZXRhLWJpbm9taWFsIG1vZGVsIGhhcyBiZWVuIHdpZGVseSB1c2VkIGFzIGFuIGFuYWx5dGljYWxseSB0cmFjdGFibGUgYWx0ZXJuYXRpdmUgdGhhdCBjYXB0dXJlcyB0aGUgb3ZlcmRpc3BlcnNpb24gb2YgYW4gaW50cmEtY29ycmVsYXRlZCwgYmlub21pYWwgcmFuZG9tIHZhcmlhYmxlLCAmbHQ7aSZndDtYJmx0Oy9pJmd0Oy4gSG93ZXZlciwgdGhlIG1vZGVsIHZhbGlkYXRpb24gZm9yICZsdDtpJmd0O1gmbHQ7L2kmZ3Q7IGhhcyBiZWVuIHJhcmVseSBpbnZlc3RpZ2F0ZWQuIEFzIGEgYmV0YS1iaW5vbWlhbCBtYXNzIGZ1bmN0aW9uIHRha2VzIG9uIGEgZmV3IGRpZmZlcmVudCBzaGFwZXMsIHRoZSBtb2RlbCB2YWxpZGF0aW9uIGlzIGV4YW1pbmVkIGZvciBlYWNoIG9mIHRoZSBjbGFzc2lmaWVkIHNoYXBlcyBpbiB0aGlzIHBhcGVyLiBGdXJ0aGVyLCB0aGUgbWVhbiBzcXVhcmUgZXJyb3IgKE1TRSkgaXMgaWxsdXN0cmF0ZWQgZm9yIGVhY2ggc2hhcGUgYnkgdGhlIG1heGltdW0gbGlrZWxpaG9vZCBlc3RpbWF0b3IgKE1MRSkgYmFzZWQgb24gYSBiZXRhLWJpbm9taWFsIG1vZGVsIGFwcHJvYWNoIGFuZCB0aGUgbWV0aG9kIG9mIG1vbWVudHMgZXN0aW1hdG9yIChNTUUpIGluIG9yZGVyIHRvIGdhdWdlIHdoZW4gYW5kIGhvdyBtdWNoIHRoZSBNTEUgaXMgYmlhc2VkLiZsdDsvcCZndDsmbHQ7L2RpdiZndDs8L2Rlc2NyaXB0aW9uPgogIDwvZGVzY3JpcHRpb25zPgogIDxzdWJqZWN0cz4KICAgIDxzdWJqZWN0PlBsYW50IEJpb2xvZ3k8L3N1YmplY3Q+CiAgICA8c3ViamVjdD5TY2llbmNlIFBvbGljeTwvc3ViamVjdD4KICAgIDxzdWJqZWN0Pk1hdGhlbWF0aWNzPC9zdWJqZWN0PgogICAgPHN1YmplY3Q+QmlvbG9naWNhbCBTY2llbmNlczwvc3ViamVjdD4KICAgIDxzdWJqZWN0PlNvY2lvbG9neTwvc3ViamVjdD4KICAgIDxzdWJqZWN0PkVjb2xvZ3k8L3N1YmplY3Q+CiAgICA8c3ViamVjdD5DaGVtaXN0cnk8L3N1YmplY3Q+CiAgICA8c3ViamVjdD5FYXJ0aCBhbmQgRW52aXJvbm1lbnRhbCBTY2llbmNlczwvc3ViamVjdD4KICA8L3N1YmplY3RzPgogIDxwdWJsaXNoZXI+VGF5bG9yICZhbXA7IEZyYW5jaXM8L3B1Ymxpc2hlcj4KICA8cHVibGljYXRpb25ZZWFyPjIwMTU8L3B1YmxpY2F0aW9uWWVhcj4KICA8ZGF0ZXM+CiAgICA8ZGF0ZSBkYXRlVHlwZT0iQ3JlYXRlZCI+MjAxNS0xMi0wNTwvZGF0ZT4KICAgIDxkYXRlIGRhdGVUeXBlPSJVcGRhdGVkIj4yMDE5LTA4LTE5PC9kYXRlPgogIDwvZGF0ZXM+CiAgPHJlc291cmNlVHlwZSByZXNvdXJjZVR5cGVHZW5lcmFsPSJDb2xsZWN0aW9uIj5Db2xsZWN0aW9uPC9yZXNvdXJjZVR5cGU+CiAgPHJlbGF0ZWRJZGVudGlmaWVycz4KICAgIDxyZWxhdGVkSWRlbnRpZmllciByZWxhdGVkSWRlbnRpZmllclR5cGU9IkRPSSIgcmVsYXRpb25UeXBlPSJJc0lkZW50aWNhbFRvIj4xMC42MDg0L205LmZpZ3NoYXJlLmMuMjA2ODk5NzwvcmVsYXRlZElkZW50aWZpZXI+CiAgPC9yZWxhdGVkSWRlbnRpZmllcnM+CiAgPHJpZ2h0c0xpc3Q+CiAgICA8cmlnaHRzIHJpZ2h0c1VSST0iaHR0cHM6Ly9jcmVhdGl2ZWNvbW1vbnMub3JnL2xpY2Vuc2VzL2J5LzQuMC8iPkNDIEJZIDQuMDwvcmlnaHRzPgogIDwvcmlnaHRzTGlzdD4KPC9yZXNvdXJjZT4=","url":"https://tandf.figshare.com/collections/The_Validation_of_a_Beta_Binomial_Model_for_Overdispersed_Binomial_Data/2068997/1","contentUrl":null,"metadataVersion":2,"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":"2015-12-05T20:08:03.000Z","registered":"2015-12-05T20:08:04.000Z","published":"2015","updated":"2024-03-21T08:43:43.000Z"},"relationships":{"client":{"data":{"id":"figshare.ars","type":"clients"}},"provider":{"data":{"id":"otjm","type":"providers"}},"media":{"data":{"id":"10.6084/m9.figshare.c.2068997.v1","type":"media"}},"references":{"data":[]},"citations":{"data":[]},"parts":{"data":[]},"partOf":{"data":[]},"versions":{"data":[]},"versionOf":{"data":[]}}}}