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Statistical analysis of censored data
Jakubcová, Monika ; Klášterecký, Petr (advisor) ; Kulich, Michal (referee)
Nazov prace: Statist icka analy/n cenzorovauych dat Antor: Monika .Ja.kubcova Katedra : Katedra pravdo])odol)iiosli a matematickej statisliky Vediici bakalarskej prace: Mgr. Petr Kla.sterecky e-itin.il veduccho: kla.stor.(i ka.rlin.niff.cuni.cz Abstrakt: Predlozena praca. podava prehlad o niektorych xakladnycli nieto- dach stat.isl.ickeho spracovania cenzorovaiiych dat. V iivodiiej kapitole uve- dieme akyni sposubom ccnzoruviUK'1 po/orovanio vxnika a pupi.seme zakladne typy cen/orova.nia,. Dalej sa oboznaminio s t'liukeijiini, ktcjre eeiixorova.ne data, popisujii a, icli v/ajomnymi v/,ta,hini. Nasleihu,1 nvedieine ne])arame- trlcke inet6(ly odluuln tyeht.o hinkcit. Uvedene odliady neskor ])ouzijeine pri koiistrukcii inter\alov S])olahli\"os(.i a ]>ri testovani hy]»)to/,. V xaverecnej kapitoh1 pripajame priklad, na ktorom deiuonst rnjeinc niektore z popi'saiiyoh inetod a spoyob praee s ( eii/orovaiiyiiii dat.a.ini v pro^,ra,ine R.. Kfueove slova: renzorovanie, eonzoroiiaiie data, funkria. pre/itia, Kaplanov- Meierov otlliad. log-rank test Title: Statistical analysis of censored data Author: Monika. Jakubcova Department.: Department of Probability and Mathematical Statistics Supervisor: Mgr. Petr KhlstenK'ky Suj)ervisor's e-mail address: klasterTikarlin.infr.cmii.cz Abstract: The presented work gives an...
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Parameter estimation in case-cohort studies
Klášterecký, Petr ; Kulich, Michal (advisor) ; Volf, Petr (referee) ; Komárek, Arnošt (referee)
The concern of this thesis is parameter estimation in regression models in survival analysis, particularly in case-cohort studies. In case-cohort studies, observations are sampled to form a subcohort which is followed and analysed. As a result, the cost of performing such studies is reduced but standard procedures for parameter estimation need to be modified. This is usually done by incorporating weights into the estimating equations so that individual sampling probabilities are accounted for. In this thesis we show that this method can lead to biased estimators when the subcohort sampling probability is low and suggest an alternative estimator based on logistic regression.
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Parameter estimation in case-cohort studies
Klášterecký, Petr ; Kulich, Michal (advisor) ; Volf, Petr (referee) ; Komárek, Arnošt (referee)
The concern of this thesis is parameter estimation in regression models in survival analysis, particularly in case-cohort studies. In case-cohort studies, observations are sampled to form a subcohort which is followed and analysed. As a result, the cost of performing such studies is reduced but standard procedures for parameter estimation need to be modified. This is usually done by incorporating weights into the estimating equations so that individual sampling probabilities are accounted for. In this thesis we show that this method can lead to biased estimators when the subcohort sampling probability is low and suggest an alternative estimator based on logistic regression.
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Statistical analysis of censored data
Jakubcová, Monika ; Kulich, Michal (referee) ; Klášterecký, Petr (advisor)
Nazov prace: Statist icka analy/n cenzorovauych dat Antor: Monika .Ja.kubcova Katedra : Katedra pravdo])odol)iiosli a matematickej statisliky Vediici bakalarskej prace: Mgr. Petr Kla.sterecky e-itin.il veduccho: kla.stor.(i ka.rlin.niff.cuni.cz Abstrakt: Predlozena praca. podava prehlad o niektorych xakladnycli nieto- dach stat.isl.ickeho spracovania cenzorovaiiych dat. V iivodiiej kapitole uve- dieme akyni sposubom ccnzoruviUK'1 po/orovanio vxnika a pupi.seme zakladne typy cen/orova.nia,. Dalej sa oboznaminio s t'liukeijiini, ktcjre eeiixorova.ne data, popisujii a, icli v/ajomnymi v/,ta,hini. Nasleihu,1 nvedieine ne])arame- trlcke inet6(ly odluuln tyeht.o hinkcit. Uvedene odliady neskor ])ouzijeine pri koiistrukcii inter\alov S])olahli\"os(.i a ]>ri testovani hy]»)to/,. V xaverecnej kapitoh1 pripajame priklad, na ktorom deiuonst rnjeinc niektore z popi'saiiyoh inetod a spoyob praee s ( eii/orovaiiyiiii dat.a.ini v pro^,ra,ine R.. Kfueove slova: renzorovanie, eonzoroiiaiie data, funkria. pre/itia, Kaplanov- Meierov otlliad. log-rank test Title: Statistical analysis of censored data Author: Monika. Jakubcova Department.: Department of Probability and Mathematical Statistics Supervisor: Mgr. Petr KhlstenK'ky Suj)ervisor's e-mail address: klasterTikarlin.infr.cmii.cz Abstract: The presented work gives an...
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