Semiparametric Analysis of Nested Case-Control Design
| Název práce v češtině: | Semiparametrická analýza vnořené studie případů a kontrol |
|---|---|
| Název v anglickém jazyce: | Semiparametric Analysis of Nested Case-Control Design |
| Klíčová slova: | vnořená studie případů a kontrol|analýza přežití|Coxův model|counter-matching|pseudověrohodnost |
| Klíčová slova anglicky: | nested case-control design|survival analysis|Cox model|counter-matching|pseudolikelihood |
| Akademický rok vypsání: | 2021/2022 |
| Typ práce: | diplomová práce |
| Jazyk práce: | angličtina |
| Ústav: | Katedra pravděpodobnosti a matematické statistiky (32-KPMS) |
| Vedoucí / školitel: | doc. Mgr. Michal Kulich, Ph.D. |
| Řešitel: | skrytý - zadáno a potvrzeno stud. odd. |
| Datum přihlášení: | 30.04.2021 |
| Datum zadání: | 02.05.2021 |
| Datum potvrzení stud. oddělením: | 11.01.2022 |
| Datum a čas obhajoby: | 08.06.2022 08:20 |
| Datum odevzdání elektronické podoby: | 04.05.2022 |
| Datum odevzdání tištěné podoby: | 09.05.2022 |
| Datum proběhlé obhajoby: | 08.06.2022 |
| Oponenti: | doc. RNDr. Zdeněk Hlávka, Ph.D. |
| Zásady pro vypracování |
| The nested case-control design (Thomas 1977) is a sampling technique used in epidemiological studies with mortality or disease-incidence outcomes. In this design, data on the follow-up and covariates of the cases is are completely known. At each observed failure time, a small number of controls is sampled from all subjects who have been at risk at that moment, and the covariates are ascertained for them. Thus, it is an example of incomplete covariate data regression problem, with missing-by-design features.
It turns out that the nested case-control design can be analyzed by unweighted partial likelihood (Goldstein and Langholz 1992), similarly to the classical Cox model. However, there are many interesting issues regarding variance estimation and efficiency improvements. The thesis will describe selected methods for the analysis of the nested case-control design and study their theoretical properties. Selected procedures extending the basic partial likelihood estimator may be discussed. The theoretical developments will be accompanied by results of simulation studies comparing the performance of various approaches on real data. |
| Seznam odborné literatury |
| Thomas, D. C. (1977) Addendum to “Methods of cohort analysis: appraisal by application to asbestos mining,” by F.D.K. Liddell, J.C. Mc Donald and D.C. Thomas. Journal of the Royal Statistical Society, Series A, 140, 469–491.
Goldstein, L. and Langholz, B. (1992) Asymptotic Theory For Nested Case-Control Sampling In The Cox Regression-Model. Annals of Statistics, 20, 1903–1928. Borgan, Ø. and Langholz, B. (1993) Nonparametric-Estimation Of Relative Mortality From Nested Case-Control Studies. Biometrics, 49, 593–602. Borgan, Ø., Goldstein, L. and Langholz, B. (1995) Methods for the analysis of sampled cohort data in the Cox proportional hazards model. Annals Of Statistics, 23, 1749–1778. Langholz, B. and Borgan, Ø. (1995) Counter-Matching - A Stratified Nested Case-Control Sampling Method. Biometrika, 82, 69–79. Samuelsen, S. O. (1997) A pseudolikelihood approach to analysis of nested case-control studies. Biometrika, 84, 379–394. Borgan, Ø. and Olsen, E. F. (1999) The efficiency of simple and counter-matched nested case-control sampling. Scandinavian Journal Of Statistics, 26, 493–509. Scheike, T. H. and Juul, A. (2004) Maximum likelihood estimation for Cox’s regression model under nested case-control sampling. Biostatistics (Oxford, England), 5, 193–206. |