{"componentChunkName":"component---src-templates-course-unit-page-tsx","path":"/en/courseunit/tilm3616/","result":{"data":{"translations":{"edges":[{"node":{"context":{"locale":"fi","code":"TILM3616","title":"Pitkittäisaineistojen analyysi"},"path":"/fi/opintojakso/tilm3616/"}},{"node":{"context":{"locale":"en","code":"TILM3616","title":"Longitudinal Data Analysis"},"path":"/en/courseunit/tilm3616/"}}]},"SISU":{"courseUnit":[{"id":"otm-dadaed01-92b9-3006-a530-4ec64fe9c088","code":"TILM3616","name":{"en":"Longitudinal Data Analysis","fi":"Pitkittäisaineistojen analyysi","sv":"Pitkittäisaineistojen analyysi"},"credits":{"max":5,"min":5},"studyLevel":null,"possibleAttainmentLanguages":[],"responsibleOrganisations":[],"coordinatingOrganisations":[],"curriculumPeriods":[],"cooperationNetworkDirection":"INBOUND","cooperationNetworks":[{"targetGroups":[{"activePhase":null,"educationIds":null,"educationTypes":null,"organisationIds":null,"educationGroupIds":null,"phase1OptionGroupIds":["jy-DP-21321","jy-DP-13215","otm-157daa3c-6f87-4d1d-86e2-5f2ed9872b58","jy-DP-13221","jy-DP-21280"],"phase2OptionGroupIds":null,"parentOrganisationIds":null,"learningOpportunityIds":null,"phase1OptionChildGroupIds":null,"phase2OptionChildGroupIds":null,"phase1EducationClassificationUrns":null,"phase2EducationClassificationUrns":null},{"activePhase":null,"educationIds":null,"educationTypes":null,"organisationIds":null,"educationGroupIds":null,"phase1OptionGroupIds":null,"phase2OptionGroupIds":["jy-DP-15471","jy-DP-13215"],"parentOrganisationIds":null,"learningOpportunityIds":null,"phase1OptionChildGroupIds":null,"phase2OptionChildGroupIds":null,"phase1EducationClassificationUrns":null,"phase2EducationClassificationUrns":null},{"activePhase":null,"educationIds":null,"educationTypes":null,"organisationIds":null,"educationGroupIds":null,"phase1OptionGroupIds":["otm-af81f116-e2c7-4ddd-a995-b5a3f769efd0"],"phase2OptionGroupIds":null,"parentOrganisationIds":null,"learningOpportunityIds":null,"phase1OptionChildGroupIds":["otm-7115fcfa-a836-4071-87dd-12907142ff6e"],"phase2OptionChildGroupIds":null,"phase1EducationClassificationUrns":null,"phase2EducationClassificationUrns":null},{"activePhase":null,"educationIds":null,"educationTypes":null,"organisationIds":null,"educationGroupIds":null,"phase1OptionGroupIds":["otm-d4ca8e88-2100-4732-9b27-613c74807e98"],"phase2OptionGroupIds":null,"parentOrganisationIds":null,"learningOpportunityIds":null,"phase1OptionChildGroupIds":["otm-56907236-443b-46cc-82cd-4f5f900be109"],"phase2OptionChildGroupIds":null,"phase1EducationClassificationUrns":null,"phase2EducationClassificationUrns":null},{"activePhase":null,"educationIds":null,"educationTypes":null,"organisationIds":null,"educationGroupIds":null,"phase1OptionGroupIds":["otm-141caed2-2906-4382-8115-8a32f8aea2d9"],"phase2OptionGroupIds":null,"parentOrganisationIds":null,"learningOpportunityIds":null,"phase1OptionChildGroupIds":["otm-a1152c89-5848-4824-b84c-d9b9366c8de3"],"phase2OptionChildGroupIds":null,"phase1EducationClassificationUrns":null,"phase2EducationClassificationUrns":null},{"activePhase":null,"educationIds":null,"educationTypes":null,"organisationIds":null,"educationGroupIds":null,"phase1OptionGroupIds":null,"phase2OptionGroupIds":["otm-141caed2-2906-4382-8115-8a32f8aea2d9"],"parentOrganisationIds":null,"learningOpportunityIds":null,"phase1OptionChildGroupIds":null,"phase2OptionChildGroupIds":["otm-a1152c89-5848-4824-b84c-d9b9366c8de3"],"phase1EducationClassificationUrns":null,"phase2EducationClassificationUrns":null}],"description":{"en":"<p>This course is offered through the Network for Advanced Studies in Mathematics. These studies are available for the following degree students:</p><ul><li>Bachelor's Degree Programme in Mathematics</li><li>Master's Degree Programme in Mathematics</li><li>Bachelor's Degree Programme in Mathematics (Subject Teacher)</li><li>Master's Degree Programme in Mathematics&nbsp;(Subject Teacher)</li><li>Bachelor's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)</li><li>Master's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)</li><li>Doctoral Programme in Mathematics and Statistics</li><li>Doctoral Programme in Mathematics and Science (Specialication in Mathematics)</li><br></ul>","fi":"<p>Tämä opintojakso on tarjolla Matematiikan syventävät opinnot -ristiinopiskeluverkostossa. Verkoston opinnot ovat tarjolla seuraaville opiskelijoille:</p><ul><li>Matematiikan kandidaattiohjelma</li><li>Matematiikan maisteriohjelma</li><li>Matematiikan aineenopettajien kandidaattiohjelma</li><li>Matematiikan aineenopettajien maisteriohjelma</li><li>Matematiikan, kemian tai fysiikan aineenopettajan ja luokanopettajan kandidaattiohjelma (matematiikan opintosuunta)</li><li>Matematiikan, kemian tai fysiikan aineenopettajan ja luokanopettajan maisteriiohjelma (matematiikan opintosuunta)</li><li>Matematiikan ja tilastotieteen tohtoriohjelma</li><li>Matemaattisten tieteiden ja luonnontieteiden tohtoriohjelma (matematiikan opintosuunta)</li><br></ul>"},"cooperationNetwork":{"abbreviation":"matematiikansyventavat","name":{"en":"Cross-institutional studies in advanced courses in mathematics and statistics","fi":"Matematiikan ja tilastotieteen syventävien kurssien ristiinopiskelu","sv":"Korsstudier i fördjupade kurser i matematik och statistik"}}}],"gradeScaleId":"sis-0-5","outcomes":{"en":"The student learns to choose an appropriate linear or generalised linear model to analyse longitudinal data. The students can interpret the estimated parameters and the analysis results and understands the role of correlation structures in the analysis of longitudinal data. The student can formulate and analyse research questions about between-unit as well as within-unit differences. The student understands how different missing data mechanisms affect the ability to conduct unbiased estimation.","fi":"Opiskelija osaa valita aineistoon sopivan malliluokan (yleinen lineaarinen malli tai  pitkittäiseen asetelmaan sopiva yleistetty lineaarinen malli) ja estimoida sekä tulkita mallin parametrit. Opiskelija ymmärtää korrelaatiorakenteen merkitystä pitkittäisten aineistojen analyysissä. Opiskelija erottaa, milloin tutkimusongelmana on yksilöiden välisten erojen tai toisaalta yksilökohtaisen vaihtelun arviointi. Opiskelija osaa tunnistaa puuttuvien havaintojen mahdollisesti aiheuttamia harhoja."},"tweetText":null,"content":{"en":"Longitudinal data are characterised by a typically smallish number of repeated observations of the same outcome variable from a number of independent individuals. The course deals with the following concepts: repeated measurements; general linear model; generalised linear model for longitudinal data; correlation structures; marginal models; random effects modes; transition models; generalised estimation equations; missing data","fi":"Pitkittäisaineistojen ominaispiirre erotuksena tavallisiin aikasarjoihin on, että yksilöiden määrä on tyypillisesti suuri ja yksilökohtaisten, ajallisesti peräkkäisten havaintojen määrä kohtuullisen pieni. Kurssiin käytyään opiskelija osaa analysoida aineistoja, joissa samoista yksilöistä on tehty useampia kuin yksi peräkkäinen vastemittaus. Sisältö: Toistomittaukset; yleinen lineaarinen malli; pitkittäinen yleistetty lineaarinen malli; korrelaatiorakenteet; marginaalimallit; satunnaistekijämallit/sekamallit; tilasiirtymämallit; yleistetyt estimointiyhtälöt; puuttuvat havainnot."},"additional":{"en":"The course is organised every other year. The next round will be in 2026.","fi":"Opintojakso järjestetään joka toinen vuosi. Seuravan kerran kurssi on syksyllä 2026."},"prerequisites":{"en":"Recommended preliminary courses: Statistical Inference I; Linear and Generalised Linear Models.","fi":"Lineaariset ja yleistetyt lineaariset mallit; Tilastollinen päättely I."},"compulsoryFormalPrerequisites":[],"recommendedFormalPrerequisites":[],"literature":[],"learningMaterial":null,"completionMethods":[]}],"prerequisiteCourseUnit":[],"prerequisiteModule":[]},"prerequisiteCourseUnitPage":{"nodes":[]},"prerequisiteModulePage":{"nodes":[]},"parentModulePage":{"nodes":[]}},"pageContext":{"type":"courseUnit","locale":"en","title":"Longitudinal Data Analysis","id":"otm-dadaed01-92b9-3006-a530-4ec64fe9c088","code":"TILM3616","prerequisiteCourseUnitIds":[],"prerequisiteModuleIds":[],"parentModuleIds":[],"curriculumPeriodStartDate":"2026-08-01","curriculumPeriodEndDate":"2027-08-01","coordinatingOrgIds":[],"searchable":false,"searchTags":null,"organisationIds":["otm-69f8ea31-de0c-3050-ab2a-e571fbab1f95"],"organisations":[],"attainmentLanguages":[],"hasSummerStudies":false,"teachingPeriods":[],"cooperationNetworkDirection":"INBOUND","hasCooperationNetworkSettings":true,"hasAvoinTeaching":false}}}