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[{"key": "dc.contributor.advisor", "value": "Karvanen, Juha", "language": null, "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.advisor", "value": "Helske, Jouni", "language": null, "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "J\u00e4ntti, Miro", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2024-04-10T06:15:54Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2024-04-10T06:15:54Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2024", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/94245", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Homogeenisten Markovin mallien siirtym\u00e4todenn\u00e4k\u00f6isyydet voidaan esitt\u00e4\u00e4 joko tila-avaruuden graafina tai siirtym\u00e4matriisina. T\u00e4m\u00e4 on helppoa, koska jokaista tilasiirtym\u00e4\u00e4 vastaa yksitt\u00e4inen siirtym\u00e4todenn\u00e4k\u00f6isyys. Ep\u00e4homogeenisten Markovin mallien tapauksessa siirtym\u00e4todenn\u00e4k\u00f6isyyksien esitt\u00e4minen on hankalampaa, koska ne voivat muuttua ajassa.\n\nT\u00e4ss\u00e4 tutkielmassa esitell\u00e4\u00e4n tapa visualisoida ajasta riippuvia siirtym\u00e4todenn\u00e4k\u00f6isyyksi\u00e4 siirtym\u00e4kuviomatriisina. T\u00e4llainen kuviomatriisi muistuttaa pitk\u00e4lti homogeenista siirtym\u00e4matriisia, mutta sen alkiot ovat lukujen sijaan kuvioita. Siirtym\u00e4todenn\u00e4k\u00f6isyyksien piirt\u00e4minen kuvioina mahdollistaa suuren m\u00e4\u00e4r\u00e4n informaatiota, kuten ryhmien v\u00e4listen siirtym\u00e4todenn\u00e4k\u00f6isyyksien tai luottamusv\u00e4lien esitt\u00e4misen kompaktissa ja helposti tulkittavassa muodossa.\n\nTutkielmassa toteutetaan R-paketti, jota voidaan k\u00e4ytt\u00e4\u00e4 ty\u00f6kaluna ep\u00e4homogeenisten Markovin mallien analyyseissa. Kyseiseen pakettiin on implementoitu sek\u00e4 siirtym\u00e4todenn\u00e4k\u00f6isyyksien estimointi usealle eri mallityypille ett\u00e4 tilasiirtymien suhteellisten frekvenssien laskeminen aineistosta ilman mallia. Paketissa on my\u00f6s helppok\u00e4ytt\u00f6inen piirtofunktio, jolla siirtym\u00e4todenn\u00e4k\u00f6isyydet voi visualisoida siirtym\u00e4kuviomatriisina.\n\nSen lis\u00e4ksi, ett\u00e4 pakettia k\u00e4sitell\u00e4\u00e4n tutkielman lukuisissa kuvitteellisissa esimerkeiss\u00e4, sovelletaan sit\u00e4 t\u00e4ss\u00e4 tutkielmassa my\u00f6s todelliseen aineistoon. Sovellusesimerkiss\u00e4 on k\u00e4yt\u00f6ss\u00e4 yhdysvaltalaisten nuorten tupakointik\u00e4ytt\u00e4ytymist\u00e4 k\u00e4sittelev\u00e4n Minnesota Adolescent Community Cohort -tutkimuksen osa-aineisto. T\u00e4m\u00e4n sovellusesimerkin tavoitteena on osoittaa paketin soveltuvuus ja hy\u00f6dyllisyys tilasiirtymien analysoinnissa.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2024-04-10T06:15:54Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2024-04-10T06:15:54Z (GMT). No. of bitstreams: 0\n Previous issue date: 2024", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "43", "language": "", "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "ep\u00e4homogeeninen Markovin malli", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "R-paketti", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "siirtym\u00e4kuviomatriisi", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "siirtym\u00e4todenn\u00e4k\u00f6isyys", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "tilasiirtym\u00e4", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "nhmgrid : R-paketti ep\u00e4homogeenisten Markovin mallien todenn\u00e4k\u00f6isyyksien visualisointiin", "language": null, "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-202404102811", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Mathematics and Statistics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Matematiikan ja tilastotieteen laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Statistics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Tilastotiede", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "yvv.contractresearch.funding", "value": "0", "language": "", "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.copyright", "value": "\u00a9 The Author(s)", "language": null, "element": "rights", "qualifier": "copyright", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": null, "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "4043", "language": null, "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "Markovin ketjut", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "visualisointi", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.format.content", "value": "fulltext", "language": null, "element": "format", "qualifier": "content", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}]
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